Narthanan/NarthananMath_1M-V1 · Datasets at Hugging Face

id int64 1 1M	problem stringlengths 14 193	answer stringlengths 16 75	reasoning stringlengths 53 276	category stringclasses 12 values	difficulty stringclasses 3 values
1	A triangle has base 17 cm and height 27 cm. Calculate its area.	The area is 229.5 cm².	Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 17 cm, height = 27 cm. Step 3: Area = ½ × 17 × 27 = 229.5 cm².	geometry	medium
2	During a holiday sale, milk is discounted by 17%. Original price was $80.91. What's the new price?	The new price after 17% discount is $67.16.	Step 1: Original price is $80.91. Step 2: Discount is 17%. Step 3: Calculate discount amount: $80.91 × 0.17 = $13.75. Step 4: Subtract discount from original price: $80.91 - $13.75 = $67.16.	shopping	hard
3	The ratio of cars to bikes is 3:2. If there are 25 total, how many of each are there?	There are 15 of the first and 10 of the second.	Step 1: Total ratio parts = 3 + 2 = 5. Step 2: Value of one ratio part = total ÷ total parts = 25 ÷ 5 = 5.00. Step 3: First part count = 3 × 5.00 = 15. Step 4: Second part count = 2 × 5.00 = 10.	ratio	hard
4	ذكي Hayes ate 1/5 of a pizza. Flora 高橋 ate 2/3. How much pizza remains?	0.13 of the pizza remains.	Step 1: ذكي Hayes ate 1/5 of the pizza. Step 2: Flora 高橋 ate 2/3 of the pizza. Step 3: Total eaten = 1/5 + 2/3 = 0.87. Step 4: Remaining = 1 - 0.87 = 0.13.	fraction	hard
5	What is the probability of drawing a red card from a standard deck?	The probability is 1/2 or 50%.	Step 1: A standard deck has 52 cards. Step 2: There are 26 red cards (13 hearts + 13 diamonds). Step 3: Probability = 26/52 = 1/2.	probability	hard
6	A rectangular prism has dimensions 5cm × 10cm × 9cm. What is its volume?	The volume is 450 cm³.	Step 1: Formula for volume of rectangular prism = length × width × height. Step 2: Length = 5 cm, width = 10 cm, height = 9 cm. Step 3: Volume = 5 × 10 × 9 = 450 cm³.	volume	medium
7	What is the probability of tossing two coins and getting at least one head?	The probability is 3/4 or 75%.	Step 1: Possible outcomes when tossing two coins: HH, HT, TH, TT. Step 2: Outcomes with at least one head: HH, HT, TH (3 possibilities). Step 3: Probability = 3/4.	probability	easy
8	If 1/6 of students are boys and there are 47 students, how many are girls?	There are 53 girls.	Step 1: Total students = 63. Step 2: Fraction of boys = 1/6. Step 3: Number of boys = 63 × 1/6 = 10. Step 4: Number of girls = total - boys = 63 - 10 = 53.	fraction	easy
9	A cylinder has radius 7 cm and height 17 cm. What is its volume? (Use π = 3.14)	The volume is 2615.62 cm³.	Step 1: Formula for volume of cylinder = π × radius² × height. Step 2: Radius = 7 cm, height = 17 cm, π = 3.14. Step 3: Volume = 3.14 × 7² × 17 = 3.14 × 49 × 17 = 2615.62 cm³.	volume	hard
10	Solve the system of equations: 2x + 3y = 10 4x - y = 6	The solution is x = 2, y = 2.	Step 1: Multiply second equation by 3: 12x - 3y = 18. Step 2: Add to first equation: (2x + 3y) + (12x - 3y) = 10 + 18. Step 3: Simplify: 14x = 28 → x = 2. Step 4: Substitute into first equation: 2(2) + 3y = 10 → 3y = 6 → y = 2.	algebra	easy
11	What is 157 + 643?	The result is 800.	Step 1: Identify the operation: addition. Step 2: Add 157 and 643. Step 3: 157 + 643 = 800.	basic_arithmetic	hard
12	Determine x from the equation: 7x + 13 = 20	The solution is x = 1.00.	Step 1: Start with equation: 7x + 13 = 20. Step 2: Subtract 13 from both sides: 7x = 20 - 13 = 7. Step 3: Divide both sides by 7: x = 7 / 7 = 1.00.	algebra	hard
13	A rectangular pool is 5 m long and 24 m wide. What is its area in square meters?	The area is 120 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 5 cm, width = 24 cm. Step 3: Area = 5 × 24 = 120 cm².	geometry	hard
14	मुकेश Wagner went shopping with $225.73. After buying phone for $45.92, how much money remains?	She has $179.81 remaining.	Step 1: मुकेश Wagner started with $225.73. Step 2: She spent $45.92 on book. Step 3: Subtract the spent amount from the initial money: $225.73 - $45.92 = $179.81.	shopping	hard
15	If Gioacchino Martinez gets 5% discount on a $185 item, what's the final price?	The final price is $175.75.	Step 1: Original price = $185. Step 2: Discount percentage = 5%. Step 3: Discount amount = 185 × 0.05 = $9.25. Step 4: Final price = original - discount = $185 - $9.25 = $175.75.	percentage	medium
16	Find the result of 952 + 372.	The result is 1324.	Step 1: Identify the operation: addition. Step 2: Add 952 and 372. Step 3: 952 + 372 = 1324.	basic_arithmetic	easy
17	Calculate 999 - 581.	The result is 418.	Step 1: Identify the operation: subtraction. Step 2: Subtract 581 from 999. Step 3: 999 - 581 = 418.	basic_arithmetic	easy
18	A sphere has radius 3 cm. What is its volume? (Use π = 3.14)	The volume is 113.04 cm³.	Step 1: Formula for volume of sphere = (4/3) × π × radius³. Step 2: Radius = 3 cm, π = 3.14. Step 3: Volume = (4/3) × 3.14 × 3³ = (4/3) × 3.14 × 27 = 113.04 cm³.	volume	hard
19	春梅 Hurst is 24 years old. Lucrezia 清水 is 30 years older. How old is Lucrezia 清水?	Lucrezia 清水 is 54 years old.	Step 1: 春梅 Hurst is 24 years old. Step 2: Lucrezia 清水 is 30 years older. Step 3: Add 30 to 24: 24 + 30 = 54.	age	hard
20	If a train journey takes 2 hours and 14 minutes, and another takes 1 hours and 21 minutes, what is the total travel time?	The total travel time is 3 hours and 35 minutes.	Step 1: First journey: 2h 14min. Step 2: Second journey: 1h 21min. Step 3: Add hours: 2 + 1 = 3 hours. Step 4: Add minutes: 14 + 21 = 35 minutes. Step 5: Convert excess minutes to hours: 35 minutes = 35 minutes with 0 hour(s) to add. Step 6: Total: 3 hours and 35 minutes.	time_logic	easy
21	The ratio of apples to oranges is 3:2. If there are 29 total, how many of each are there?	There are 17 of the first and 12 of the second.	Step 1: Total ratio parts = 3 + 2 = 5. Step 2: Value of one ratio part = total ÷ total parts = 29 ÷ 5 = 5.80. Step 3: First part count = 3 × 5.80 = 17. Step 4: Second part count = 2 × 5.80 = 12.	ratio	hard
22	What is the probability of rolling a die and getting an even number?	The probability is 1/2 or 50%.	Step 1: A die has 6 faces: 1, 2, 3, 4, 5, 6. Step 2: Even numbers are 2, 4, 6 (3 possibilities). Step 3: Probability = favorable outcomes / total outcomes = 3/6 = 1/2.	probability	easy
23	During a clearance sale, computer is discounted by 46%. Original price was $54.38. What's the new price?	The new price after 46% discount is $29.37.	Step 1: Original price is $54.38. Step 2: Discount is 46%. Step 3: Calculate discount amount: $54.38 × 0.46 = $25.01. Step 4: Subtract discount from original price: $54.38 - $25.01 = $29.37.	shopping	medium
24	A recipe requires 1/2 cup of flour. For 3 batches, how much flour is needed?	1.00 cups of flour are needed.	Step 1: One batch requires 1/2 cup of flour. Step 2: We need 2 batches. Step 3: Multiply 1/2 by 2: (1 × 2) / 2 = 1.00.	fraction	easy
25	Reduce the fraction 28/29 to its simplest form.	The simplified fraction is 28/29.	Step 1: Original fraction is 28/29. Step 2: Find GCD of 28 and 29. GCD = 1. Step 3: Divide numerator and denominator by GCD: 28 ÷ 1 = 28, 29 ÷ 1 = 29.	fraction	easy
26	Cihan Moneta completed 1/8 of a project on Monday and 2/3 on Tuesday. What fraction is complete?	0.79 of the project is complete.	Step 1: On Monday, Cihan Moneta completed 1/8. Step 2: On Tuesday, Cihan Moneta completed 2/3. Step 3: Total completed = 1/8 + 2/3 = 0.79.	fraction	hard
27	A sphere has radius 4 cm. What is its volume? (Use π = 3.14)	The volume is 267.95 cm³.	Step 1: Formula for volume of sphere = (4/3) × π × radius³. Step 2: Radius = 4 cm, π = 3.14. Step 3: Volume = (4/3) × 3.14 × 4³ = (4/3) × 3.14 × 64 = 267.95 cm³.	volume	easy
28	A triangle has base 7 cm and height 21 cm. Calculate its area.	The area is 73.5 cm².	Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 7 cm, height = 21 cm. Step 3: Area = ½ × 7 × 21 = 73.5 cm².	geometry	hard
29	172 increased by 21% equals what?	The result is 208.12.	Step 1: Original value = 172. Step 2: Increase percentage = 21%. Step 3: Increase amount = 172 × 0.21 = 36.12. Step 4: New value = original + increase = 172 + 36.12 = 208.12.	percentage	easy
30	153 increased by 8% equals what?	The result is 165.24.	Step 1: Original value = 153. Step 2: Increase percentage = 8%. Step 3: Increase amount = 153 × 0.08 = 12.24. Step 4: New value = original + increase = 153 + 12.24 = 165.24.	percentage	hard
31	The ratio of boys to girls is 2:5. If there are 94 total, how many of each are there?	There are 27 of the first and 67 of the second.	Step 1: Total ratio parts = 2 + 5 = 7. Step 2: Value of one ratio part = total ÷ total parts = 94 ÷ 7 = 13.43. Step 3: First part count = 2 × 13.43 = 27. Step 4: Second part count = 5 × 13.43 = 67.	ratio	hard
32	A population of 111 grows by 13% annually. What is the new population?	The result is 125.43.	Step 1: Original value = 111. Step 2: Increase percentage = 13%. Step 3: Increase amount = 111 × 0.13 = 14.43. Step 4: New value = original + increase = 111 + 14.43 = 125.43.	percentage	easy
33	Convert 2 hours to seconds.	2 hours is 7200 seconds.	Step 1: 1 hour = 60 minutes = 3600 seconds. Step 2: 2 hours = 2 × 3600 = 7200 seconds.	time_logic	hard
34	The ratio of boys to girls is 2:3. If there are 84 total, how many of each are there?	There are 34 of the first and 50 of the second.	Step 1: Total ratio parts = 2 + 3 = 5. Step 2: Value of one ratio part = total ÷ total parts = 84 ÷ 5 = 16.80. Step 3: First part count = 2 × 16.80 = 34. Step 4: Second part count = 3 × 16.80 = 50.	ratio	medium
35	Lilly भट्टाचार्य is 5 years old. Kim Aporti is 40 years older. How old is Kim Aporti?	Kim Aporti is 45 years old.	Step 1: Lilly भट्टाचार्य is 5 years old. Step 2: Kim Aporti is 40 years older. Step 3: Add 40 to 5: 5 + 40 = 45.	age	easy
36	A rectangle has length 11 cm and width 26 cm. What is its area?	The area is 286 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 11 cm, width = 26 cm. Step 3: Area = 11 × 26 = 286 cm².	geometry	hard
37	अनिल Stewart is 21 years old. باهرة Ludwik is 8 years old. What is the sum of their ages?	The sum of their ages is 29 years.	Step 1: अनिल Stewart is 21 years old. Step 2: باهرة Ludwik is 8 years old. Step 3: Add their ages: 21 + 8 = 29.	age	medium
38	What is 342 + 790?	The result is 1132.	Step 1: Identify the operation: addition. Step 2: Add 342 and 790. Step 3: 342 + 790 = 1132.	basic_arithmetic	hard
39	A triangle has base 32 cm and height 20 cm. Calculate its area.	The area is 320.0 cm².	Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 32 cm, height = 20 cm. Step 3: Area = ½ × 32 × 20 = 320.0 cm².	geometry	hard
40	Find x if 2x + 3 equals 29	The solution is x = 13.00.	Step 1: Start with equation: 2x + 3 = 29. Step 2: Subtract 3 from both sides: 2x = 29 - 3 = 26. Step 3: Divide both sides by 2: x = 26 / 2 = 13.00.	algebra	hard
41	What is 39 × 19?	The result is 741.	Step 1: Identify the operation: multiplication. Step 2: Multiply 39 by 19. Step 3: 39 × 19 = 741.	basic_arithmetic	medium
42	The sum of ages of Stig Игнатов and Agatha Cavalcanti is 67. If Stig Игнатов is 27 years old, how old is Agatha Cavalcanti?	The sum of their ages is 67 years.	Step 1: Stig Игнатов is 27 years old. Step 2: Agatha Cavalcanti is 40 years old. Step 3: Add their ages: 27 + 40 = 67.	age	hard
43	Иван Ribera is 22 years old. Müzekker Roman is 15 years old. What is the sum of their ages?	The sum of their ages is 37 years.	Step 1: Иван Ribera is 22 years old. Step 2: Müzekker Roman is 15 years old. Step 3: Add their ages: 22 + 15 = 37.	age	easy
44	If a meeting starts at 11:45 and lasts 3 hours and 30 minutes, when does it end?	The meeting ends at 15:15.	Step 1: Start time: 11:45 = 705 minutes. Step 2: Duration: 3h 30min = 210 minutes. Step 3: End time in minutes: 705 + 210 = 915 minutes. Step 4: Convert to hours and minutes: 915 minutes = 15 hours and 15 minutes. Step 5: Format: 15:15.	time_logic	easy
45	春梅 तिवारी ate 1/6 of a pizza. 健一 Ottino ate 3/4. How much pizza remains?	0.08 of the pizza remains.	Step 1: 春梅 तिवारी ate 1/6 of the pizza. Step 2: 健一 Ottino ate 3/4 of the pizza. Step 3: Total eaten = 1/6 + 3/4 = 0.92. Step 4: Remaining = 1 - 0.92 = 0.08.	fraction	easy
46	A triangle has base 20 cm and height 4 cm. Calculate its area.	The area is 40.0 cm².	Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 20 cm, height = 4 cm. Step 3: Area = ½ × 20 × 4 = 40.0 cm².	geometry	easy
47	The ratio of teachers to students is 4:4. If there are 75 total, how many of each are there?	There are 38 of the first and 38 of the second.	Step 1: Total ratio parts = 4 + 4 = 8. Step 2: Value of one ratio part = total ÷ total parts = 75 ÷ 8 = 9.38. Step 3: First part count = 4 × 9.38 = 38. Step 4: Second part count = 4 × 9.38 = 38.	ratio	hard
48	161 increased by 5% equals what?	The result is 169.05.	Step 1: Original value = 161. Step 2: Increase percentage = 5%. Step 3: Increase amount = 161 × 0.05 = 8.05. Step 4: New value = original + increase = 161 + 8.05 = 169.05.	percentage	medium
49	Solve for x: 6x + 20 = 11	The solution is x = -1.50.	Step 1: Start with equation: 6x + 20 = 11. Step 2: Subtract 20 from both sides: 6x = 11 - 20 = -9. Step 3: Divide both sides by 6: x = -9 / 6 = -1.50.	algebra	hard
50	A rectangular pool is 24 m long and 24 m wide. What is its area in square meters?	The area is 576 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 24 cm, width = 24 cm. Step 3: Area = 24 × 24 = 576 cm².	geometry	medium
51	A train covers 396 km from West Charleneland to East Patrick in 6 hours. What is its average speed?	The average speed is 66.0 km/h.	Step 1: Formula: speed = distance ÷ time. Step 2: Distance = 396 km, time = 6 hours. Step 3: Speed = 396 ÷ 6 = 66.0 km/h.	distance_speed	easy
52	The ratio of cars to bikes is 5:2. If there are 58 total, how many of each are there?	There are 41 of the first and 17 of the second.	Step 1: Total ratio parts = 5 + 2 = 7. Step 2: Value of one ratio part = total ÷ total parts = 58 ÷ 7 = 8.29. Step 3: First part count = 5 × 8.29 = 41. Step 4: Second part count = 2 × 8.29 = 17.	ratio	medium
53	सुरेश सुब्रमण्यम ate 1/8 of a pizza. Françoise الجفالي ate 1/4. How much pizza remains?	0.62 of the pizza remains.	Step 1: सुरेश सुब्रमण्यम ate 1/8 of the pizza. Step 2: Françoise الجفالي ate 1/4 of the pizza. Step 3: Total eaten = 1/8 + 1/4 = 0.38. Step 4: Remaining = 1 - 0.38 = 0.62.	fraction	medium
54	107 increased by 30% equals what?	The result is 139.10.	Step 1: Original value = 107. Step 2: Increase percentage = 30%. Step 3: Increase amount = 107 × 0.3 = 32.10. Step 4: New value = original + increase = 107 + 32.10 = 139.10.	percentage	easy
55	251 + 487 equals what?	The result is 738.	Step 1: Identify the operation: addition. Step 2: Add 251 and 487. Step 3: 251 + 487 = 738.	basic_arithmetic	easy
56	Mikayla Silva has a class at 14:00 that lasts 3 hours. After a 27-minute break, Mikayla Silva has another activity. When does the second activity start?	The second activity starts at 17:27.	Step 1: class starts at 14:00 and lasts 3 hours. Step 2: class ends at 17:00. Step 3: Break lasts 27 minutes. Step 4: Add break to end time: 17:00 + 27 minutes = 17:27.	time_logic	medium
57	Solve the quadratic equation: x² - 8x + 12 = 0	The solutions are x = 2 and x = 6.	Step 1: Equation is x² - 8x + 12 = 0. Step 2: Factor the quadratic: (x - 2)(x - 6) = 0. Step 3: Set each factor to zero: x - 2 = 0 or x - 6 = 0. Step 4: Solve for x: x = 2 or x = 6.	algebra	medium
58	Reduce the fraction 28/45 to its simplest form.	The simplified fraction is 28/45.	Step 1: Original fraction is 28/45. Step 2: Find GCD of 28 and 45. GCD = 1. Step 3: Divide numerator and denominator by GCD: 28 ÷ 1 = 28, 45 ÷ 1 = 45.	fraction	medium
59	If Rik Zijlemans gets 25% discount on a $113 item, what's the final price?	The final price is $84.75.	Step 1: Original price = $113. Step 2: Discount percentage = 25%. Step 3: Discount amount = 113 × 0.25 = $28.25. Step 4: Final price = original - discount = $113 - $28.25 = $84.75.	percentage	hard
60	If a meeting starts at 12:45 and lasts 1 hours and 30 minutes, when does it end?	The meeting ends at 14:15.	Step 1: Start time: 12:45 = 765 minutes. Step 2: Duration: 1h 30min = 90 minutes. Step 3: End time in minutes: 765 + 90 = 855 minutes. Step 4: Convert to hours and minutes: 855 minutes = 14 hours and 15 minutes. Step 5: Format: 14:15.	time_logic	easy
61	What is the perimeter of a square with side 13 cm?	The perimeter is 52 cm.	Step 1: Formula for perimeter of square = 4 × side. Step 2: Side = 13 cm. Step 3: Perimeter = 4 × 13 = 52 cm.	geometry	hard
62	A milk costs $42.07. If प्रेम Ollivier buys 2 of them, what is the total price?	प्रेम Ollivier spent $75.83 in total.	Step 1: Identify the items and their prices: shirt costs $42.07, banana costs $33.76. Step 2: Add the prices to find the total. Step 3: $42.07 + $33.76 = $75.83.	shopping	medium
63	Solve for x: 10x + 13 = 16	The solution is x = 0.30.	Step 1: Start with equation: 10x + 13 = 16. Step 2: Subtract 13 from both sides: 10x = 16 - 13 = 3. Step 3: Divide both sides by 10: x = 3 / 10 = 0.30.	algebra	medium
64	A circle has radius 15 cm. What is its circumference? (Use π = 3.14)	The circumference is 94.20 cm.	Step 1: Formula for circumference of circle = 2 × π × radius. Step 2: Radius = 15 cm, π = 3.14. Step 3: Circumference = 2 × 3.14 × 15 = 94.20 cm.	geometry	hard
65	A rectangular prism has dimensions 10cm × 6cm × 7cm. What is its volume?	The volume is 420 cm³.	Step 1: Formula for volume of rectangular prism = length × width × height. Step 2: Length = 10 cm, width = 6 cm, height = 7 cm. Step 3: Volume = 10 × 6 × 7 = 420 cm³.	volume	medium
66	If a train journey takes 4 hours and 21 minutes, and another takes 4 hours and 46 minutes, what is the total travel time?	The total travel time is 9 hours and 7 minutes.	Step 1: First journey: 4h 21min. Step 2: Second journey: 4h 46min. Step 3: Add hours: 4 + 4 = 8 hours. Step 4: Add minutes: 21 + 46 = 67 minutes. Step 5: Convert excess minutes to hours: 67 minutes = 7 minutes with 1 hour(s) to add. Step 6: Total: 9 hours and 7 minutes.	time_logic	easy
67	If a meeting starts at 17:00 and lasts 4 hours and 0 minutes, when does it end?	The meeting ends at 21:00.	Step 1: Start time: 17:00 = 1020 minutes. Step 2: Duration: 4h 0min = 240 minutes. Step 3: End time in minutes: 1020 + 240 = 1260 minutes. Step 4: Convert to hours and minutes: 1260 minutes = 21 hours and 0 minutes. Step 5: Format: 21:00.	time_logic	easy
68	What is the probability of picking a blue marble from a bag with 3 blue and 5 red marbles?	The probability is 3/8 or 37.5%.	Step 1: Total marbles = 3 blue + 5 red = 8 marbles. Step 2: Blue marbles = 3. Step 3: Probability = 3/8 = 0.375.	probability	easy
69	If a meeting starts at 08:30 and lasts 4 hours and 30 minutes, when does it end?	The meeting ends at 13:00.	Step 1: Start time: 08:30 = 510 minutes. Step 2: Duration: 4h 30min = 270 minutes. Step 3: End time in minutes: 510 + 270 = 780 minutes. Step 4: Convert to hours and minutes: 780 minutes = 13 hours and 0 minutes. Step 5: Format: 13:00.	time_logic	easy
70	Convert 6 minutes to seconds.	6 minutes is 360 seconds.	Step 1: 1 minute = 60 seconds. Step 2: 6 minutes = 6 × 60 = 360 seconds.	time_logic	medium
71	A rectangle has length 35 cm and width 3 cm. What is its area?	The area is 105 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 35 cm, width = 3 cm. Step 3: Area = 35 × 3 = 105 cm².	geometry	hard
72	57 increased by 12% equals what?	The result is 63.84.	Step 1: Original value = 57. Step 2: Increase percentage = 12%. Step 3: Increase amount = 57 × 0.12 = 6.84. Step 4: New value = original + increase = 57 + 6.84 = 63.84.	percentage	easy
73	The ratio of apples to oranges is 3:3. If there are 80 total, how many of each are there?	There are 40 of the first and 40 of the second.	Step 1: Total ratio parts = 3 + 3 = 6. Step 2: Value of one ratio part = total ÷ total parts = 80 ÷ 6 = 13.33. Step 3: First part count = 3 × 13.33 = 40. Step 4: Second part count = 3 × 13.33 = 40.	ratio	hard
74	Alberico रॉय went shopping with $181.30. After buying toy for $78.00, how much money remains?	He has $103.30 remaining.	Step 1: Alberico रॉय started with $181.30. Step 2: He spent $78.00 on apple. Step 3: Subtract the spent amount from the initial money: $181.30 - $78.00 = $103.30.	shopping	hard
75	Reduce the fraction 15/39 to its simplest form.	The simplified fraction is 5/13.	Step 1: Original fraction is 15/39. Step 2: Find GCD of 15 and 39. GCD = 3. Step 3: Divide numerator and denominator by GCD: 15 ÷ 3 = 5, 39 ÷ 3 = 13.	fraction	easy
76	A population of 160 grows by 16% annually. What is the new population?	The result is 185.60.	Step 1: Original value = 160. Step 2: Increase percentage = 16%. Step 3: Increase amount = 160 × 0.16 = 25.60. Step 4: New value = original + increase = 160 + 25.60 = 185.60.	percentage	hard
77	Auguste van der Heyden is 22 years old. In 9 years, how old will she be?	In 3 years, Auguste van der Heyden will be 25 years old.	Step 1: Current age of Auguste van der Heyden is 22 years. Step 2: We want to find age in 3 years. Step 3: Add 3 to current age: 22 + 3 = 25.	age	medium
78	A recipe requires 3/4 cup of flour. For 4 batches, how much flour is needed?	3.00 cups of flour are needed.	Step 1: One batch requires 3/4 cup of flour. Step 2: We need 4 batches. Step 3: Multiply 3/4 by 4: (3 × 4) / 4 = 3.00.	fraction	hard
79	Compute 187 - 62.	The result is 125.	Step 1: Identify the operation: subtraction. Step 2: Subtract 62 from 187. Step 3: 187 - 62 = 125.	basic_arithmetic	medium
80	What is 30% of 164?	30% of 164 is 49.20.	Step 1: We need to find 30% of 164. Step 2: Percentage calculation: 164 × 0.3. Step 3: 164 × 0.3 = 49.20.	percentage	easy
81	A triangle has base 29 cm and height 25 cm. Calculate its area.	The area is 362.5 cm².	Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 29 cm, height = 25 cm. Step 3: Area = ½ × 29 × 25 = 362.5 cm².	geometry	easy
82	A rectangular pool is 28 m long and 18 m wide. What is its area in square meters?	The area is 504 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 28 cm, width = 18 cm. Step 3: Area = 28 × 18 = 504 cm².	geometry	hard
83	If Carly Alba gets 13% discount on a $166 item, what's the final price?	The final price is $144.42.	Step 1: Original price = $166. Step 2: Discount percentage = 13%. Step 3: Discount amount = 166 × 0.13 = $21.58. Step 4: Final price = original - discount = $166 - $21.58 = $144.42.	percentage	medium
84	If 2/3 of students are boys and there are 59 students, how many are girls?	There are 23 girls.	Step 1: Total students = 67. Step 2: Fraction of boys = 2/3. Step 3: Number of boys = 67 × 2/3 = 44. Step 4: Number of girls = total - boys = 67 - 44 = 23.	fraction	medium
85	Nicholas Ribeiro is 36 years old. Geraldo Bongiorno is 11 years old. What is the sum of their ages?	The sum of their ages is 47 years.	Step 1: Nicholas Ribeiro is 36 years old. Step 2: Geraldo Bongiorno is 11 years old. Step 3: Add their ages: 36 + 11 = 47.	age	medium
86	Mark Harvey has a training session at 11:00 that lasts 1 hours. After a 45-minute break, Mark Harvey has another activity. When does the second activity start?	The second activity starts at 12:45.	Step 1: training session starts at 11:00 and lasts 1 hours. Step 2: training session ends at 12:00. Step 3: Break lasts 45 minutes. Step 4: Add break to end time: 12:00 + 45 minutes = 12:45.	time_logic	easy
87	A circle has radius 5 cm. What is its circumference? (Use π = 3.14)	The circumference is 31.40 cm.	Step 1: Formula for circumference of circle = 2 × π × radius. Step 2: Radius = 5 cm, π = 3.14. Step 3: Circumference = 2 × 3.14 × 5 = 31.40 cm.	geometry	easy
88	If Brittany Becker thinks of a number, multiplies it by 2, and gets 28, what was the original number?	The original number is 14.	Step 1: Let the unknown number be x. Step 2: According to the problem: x × 2 = 28. Step 3: Divide both sides by 2: x = 28 ÷ 2 = 14.	algebra	easy
89	The ratio of cars to bikes is 2:3. If there are 35 total, how many of each are there?	There are 14 of the first and 21 of the second.	Step 1: Total ratio parts = 2 + 3 = 5. Step 2: Value of one ratio part = total ÷ total parts = 35 ÷ 5 = 7.00. Step 3: First part count = 2 × 7.00 = 14. Step 4: Second part count = 3 × 7.00 = 21.	ratio	hard
90	Find the roots of x² - 14x + 45 = 0	The solutions are x = 5 and x = 9.	Step 1: Equation is x² - 14x + 45 = 0. Step 2: Factor the quadratic: (x - 5)(x - 9) = 0. Step 3: Set each factor to zero: x - 5 = 0 or x - 9 = 0. Step 4: Solve for x: x = 5 or x = 9.	algebra	medium
91	A rectangular pool is 32 m long and 12 m wide. What is its area in square meters?	The area is 384 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 32 cm, width = 12 cm. Step 3: Area = 32 × 12 = 384 cm².	geometry	hard
92	The ratio of boys to girls is 2:3. If there are 100 total, how many of each are there?	There are 40 of the first and 60 of the second.	Step 1: Total ratio parts = 2 + 3 = 5. Step 2: Value of one ratio part = total ÷ total parts = 100 ÷ 5 = 20.00. Step 3: First part count = 2 × 20.00 = 40. Step 4: Second part count = 3 × 20.00 = 60.	ratio	easy
93	A rectangle has length 15 cm and width 10 cm. What is its area?	The area is 150 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 15 cm, width = 10 cm. Step 3: Area = 15 × 10 = 150 cm².	geometry	easy
94	124 increased by 6% equals what?	The result is 131.44.	Step 1: Original value = 124. Step 2: Increase percentage = 6%. Step 3: Increase amount = 124 × 0.06 = 7.44. Step 4: New value = original + increase = 124 + 7.44 = 131.44.	percentage	medium
95	A cylinder has radius 7 cm and height 18 cm. What is its volume? (Use π = 3.14)	The volume is 2769.48 cm³.	Step 1: Formula for volume of cylinder = π × radius² × height. Step 2: Radius = 7 cm, height = 18 cm, π = 3.14. Step 3: Volume = 3.14 × 7² × 18 = 3.14 × 49 × 18 = 2769.48 cm³.	volume	easy
96	A rectangular pool is 47 m long and 28 m wide. What is its area in square meters?	The area is 1316 cm².	Step 1: Formula for area of rectangle = length × width. Step 2: Length = 47 cm, width = 28 cm. Step 3: Area = 47 × 28 = 1316 cm².	geometry	easy
97	Find x if 9x + 8 equals 21	The solution is x = 1.44.	Step 1: Start with equation: 9x + 8 = 21. Step 2: Subtract 8 from both sides: 9x = 21 - 8 = 13. Step 3: Divide both sides by 9: x = 13 / 9 = 1.44.	algebra	medium
98	حبّاب Barre is 30 years old. Ana मजूमदार is twice as old. How old is Ana मजूमदार?	Ana मजूमदार is 60 years old.	Step 1: حبّاب Barre is 30 years old. Step 2: Ana मजूमदार is twice as old. Step 3: Multiply 30 by 2: 30 × 2 = 60.	age	medium
99	If a train journey takes 5 hours and 2 minutes, and another takes 4 hours and 47 minutes, what is the total travel time?	The total travel time is 9 hours and 49 minutes.	Step 1: First journey: 5h 2min. Step 2: Second journey: 4h 47min. Step 3: Add hours: 5 + 4 = 9 hours. Step 4: Add minutes: 2 + 47 = 49 minutes. Step 5: Convert excess minutes to hours: 49 minutes = 49 minutes with 0 hour(s) to add. Step 6: Total: 9 hours and 49 minutes.	time_logic	medium
100	The ratio of cars to bikes is 2:2. If there are 49 total, how many of each are there?	There are 24 of the first and 24 of the second.	Step 1: Total ratio parts = 2 + 2 = 4. Step 2: Value of one ratio part = total ÷ total parts = 49 ÷ 4 = 12.25. Step 3: First part count = 2 × 12.25 = 24. Step 4: Second part count = 2 × 12.25 = 24.	ratio	hard

1

A triangle has base 17 cm and height 27 cm. Calculate its area.

The area is 229.5 cm².

Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 17 cm, height = 27 cm. Step 3: Area = ½ × 17 × 27 = 229.5 cm².

geometry

medium

2

During a holiday sale, milk is discounted by 17%. Original price was $80.91. What's the new price?

The new price after 17% discount is $67.16.

Step 1: Original price is $80.91. Step 2: Discount is 17%. Step 3: Calculate discount amount: $80.91 × 0.17 = $13.75. Step 4: Subtract discount from original price: $80.91 - $13.75 = $67.16.

shopping

hard

3

The ratio of cars to bikes is 3:2. If there are 25 total, how many of each are there?

There are 15 of the first and 10 of the second.

Step 1: Total ratio parts = 3 + 2 = 5. Step 2: Value of one ratio part = total ÷ total parts = 25 ÷ 5 = 5.00. Step 3: First part count = 3 × 5.00 = 15. Step 4: Second part count = 2 × 5.00 = 10.

ratio

hard

4

ذكي Hayes ate 1/5 of a pizza. Flora 高橋 ate 2/3. How much pizza remains?

0.13 of the pizza remains.

Step 1: ذكي Hayes ate 1/5 of the pizza. Step 2: Flora 高橋 ate 2/3 of the pizza. Step 3: Total eaten = 1/5 + 2/3 = 0.87. Step 4: Remaining = 1 - 0.87 = 0.13.

fraction

hard

5

What is the probability of drawing a red card from a standard deck?

The probability is 1/2 or 50%.

Step 1: A standard deck has 52 cards. Step 2: There are 26 red cards (13 hearts + 13 diamonds). Step 3: Probability = 26/52 = 1/2.

probability

hard

6

A rectangular prism has dimensions 5cm × 10cm × 9cm. What is its volume?

The volume is 450 cm³.

Step 1: Formula for volume of rectangular prism = length × width × height. Step 2: Length = 5 cm, width = 10 cm, height = 9 cm. Step 3: Volume = 5 × 10 × 9 = 450 cm³.

volume

medium

7

What is the probability of tossing two coins and getting at least one head?

The probability is 3/4 or 75%.

Step 1: Possible outcomes when tossing two coins: HH, HT, TH, TT. Step 2: Outcomes with at least one head: HH, HT, TH (3 possibilities). Step 3: Probability = 3/4.

probability

easy

8

If 1/6 of students are boys and there are 47 students, how many are girls?

There are 53 girls.

Step 1: Total students = 63. Step 2: Fraction of boys = 1/6. Step 3: Number of boys = 63 × 1/6 = 10. Step 4: Number of girls = total - boys = 63 - 10 = 53.

fraction

easy

9

A cylinder has radius 7 cm and height 17 cm. What is its volume? (Use π = 3.14)

The volume is 2615.62 cm³.

Step 1: Formula for volume of cylinder = π × radius² × height. Step 2: Radius = 7 cm, height = 17 cm, π = 3.14. Step 3: Volume = 3.14 × 7² × 17 = 3.14 × 49 × 17 = 2615.62 cm³.

volume

hard

10

Solve the system of equations: 2x + 3y = 10 4x - y = 6

The solution is x = 2, y = 2.

Step 1: Multiply second equation by 3: 12x - 3y = 18. Step 2: Add to first equation: (2x + 3y) + (12x - 3y) = 10 + 18. Step 3: Simplify: 14x = 28 → x = 2. Step 4: Substitute into first equation: 2(2) + 3y = 10 → 3y = 6 → y = 2.

algebra

easy

11

What is 157 + 643?

The result is 800.

Step 1: Identify the operation: addition. Step 2: Add 157 and 643. Step 3: 157 + 643 = 800.

basic_arithmetic

hard

12

Determine x from the equation: 7x + 13 = 20

The solution is x = 1.00.

Step 1: Start with equation: 7x + 13 = 20. Step 2: Subtract 13 from both sides: 7x = 20 - 13 = 7. Step 3: Divide both sides by 7: x = 7 / 7 = 1.00.

algebra

hard

13

A rectangular pool is 5 m long and 24 m wide. What is its area in square meters?

The area is 120 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 5 cm, width = 24 cm. Step 3: Area = 5 × 24 = 120 cm².

geometry

hard

14

मुकेश Wagner went shopping with $225.73. After buying phone for $45.92, how much money remains?

She has $179.81 remaining.

Step 1: मुकेश Wagner started with $225.73. Step 2: She spent $45.92 on book. Step 3: Subtract the spent amount from the initial money: $225.73 - $45.92 = $179.81.

shopping

hard

15

If Gioacchino Martinez gets 5% discount on a $185 item, what's the final price?

The final price is $175.75.

Step 1: Original price = $185. Step 2: Discount percentage = 5%. Step 3: Discount amount = 185 × 0.05 = $9.25. Step 4: Final price = original - discount = $185 - $9.25 = $175.75.

percentage

medium

16

Find the result of 952 + 372.

The result is 1324.

Step 1: Identify the operation: addition. Step 2: Add 952 and 372. Step 3: 952 + 372 = 1324.

basic_arithmetic

easy

17

Calculate 999 - 581.

The result is 418.

Step 1: Identify the operation: subtraction. Step 2: Subtract 581 from 999. Step 3: 999 - 581 = 418.

basic_arithmetic

easy

18

A sphere has radius 3 cm. What is its volume? (Use π = 3.14)

The volume is 113.04 cm³.

Step 1: Formula for volume of sphere = (4/3) × π × radius³. Step 2: Radius = 3 cm, π = 3.14. Step 3: Volume = (4/3) × 3.14 × 3³ = (4/3) × 3.14 × 27 = 113.04 cm³.

volume

hard

19

春梅 Hurst is 24 years old. Lucrezia 清水 is 30 years older. How old is Lucrezia 清水?

Lucrezia 清水 is 54 years old.

Step 1: 春梅 Hurst is 24 years old. Step 2: Lucrezia 清水 is 30 years older. Step 3: Add 30 to 24: 24 + 30 = 54.

age

hard

20

If a train journey takes 2 hours and 14 minutes, and another takes 1 hours and 21 minutes, what is the total travel time?

The total travel time is 3 hours and 35 minutes.

Step 1: First journey: 2h 14min. Step 2: Second journey: 1h 21min. Step 3: Add hours: 2 + 1 = 3 hours. Step 4: Add minutes: 14 + 21 = 35 minutes. Step 5: Convert excess minutes to hours: 35 minutes = 35 minutes with 0 hour(s) to add. Step 6: Total: 3 hours and 35 minutes.

time_logic

easy

21

The ratio of apples to oranges is 3:2. If there are 29 total, how many of each are there?

There are 17 of the first and 12 of the second.

Step 1: Total ratio parts = 3 + 2 = 5. Step 2: Value of one ratio part = total ÷ total parts = 29 ÷ 5 = 5.80. Step 3: First part count = 3 × 5.80 = 17. Step 4: Second part count = 2 × 5.80 = 12.

ratio

hard

22

What is the probability of rolling a die and getting an even number?

The probability is 1/2 or 50%.

Step 1: A die has 6 faces: 1, 2, 3, 4, 5, 6. Step 2: Even numbers are 2, 4, 6 (3 possibilities). Step 3: Probability = favorable outcomes / total outcomes = 3/6 = 1/2.

probability

easy

23

During a clearance sale, computer is discounted by 46%. Original price was $54.38. What's the new price?

The new price after 46% discount is $29.37.

Step 1: Original price is $54.38. Step 2: Discount is 46%. Step 3: Calculate discount amount: $54.38 × 0.46 = $25.01. Step 4: Subtract discount from original price: $54.38 - $25.01 = $29.37.

shopping

medium

24

A recipe requires 1/2 cup of flour. For 3 batches, how much flour is needed?

1.00 cups of flour are needed.

Step 1: One batch requires 1/2 cup of flour. Step 2: We need 2 batches. Step 3: Multiply 1/2 by 2: (1 × 2) / 2 = 1.00.

fraction

easy

25

Reduce the fraction 28/29 to its simplest form.

The simplified fraction is 28/29.

Step 1: Original fraction is 28/29. Step 2: Find GCD of 28 and 29. GCD = 1. Step 3: Divide numerator and denominator by GCD: 28 ÷ 1 = 28, 29 ÷ 1 = 29.

fraction

easy

26

Cihan Moneta completed 1/8 of a project on Monday and 2/3 on Tuesday. What fraction is complete?

0.79 of the project is complete.

Step 1: On Monday, Cihan Moneta completed 1/8. Step 2: On Tuesday, Cihan Moneta completed 2/3. Step 3: Total completed = 1/8 + 2/3 = 0.79.

fraction

hard

27

A sphere has radius 4 cm. What is its volume? (Use π = 3.14)

The volume is 267.95 cm³.

Step 1: Formula for volume of sphere = (4/3) × π × radius³. Step 2: Radius = 4 cm, π = 3.14. Step 3: Volume = (4/3) × 3.14 × 4³ = (4/3) × 3.14 × 64 = 267.95 cm³.

volume

easy

28

A triangle has base 7 cm and height 21 cm. Calculate its area.

The area is 73.5 cm².

Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 7 cm, height = 21 cm. Step 3: Area = ½ × 7 × 21 = 73.5 cm².

geometry

hard

29

172 increased by 21% equals what?

The result is 208.12.

Step 1: Original value = 172. Step 2: Increase percentage = 21%. Step 3: Increase amount = 172 × 0.21 = 36.12. Step 4: New value = original + increase = 172 + 36.12 = 208.12.

percentage

easy

30

153 increased by 8% equals what?

The result is 165.24.

Step 1: Original value = 153. Step 2: Increase percentage = 8%. Step 3: Increase amount = 153 × 0.08 = 12.24. Step 4: New value = original + increase = 153 + 12.24 = 165.24.

percentage

hard

31

The ratio of boys to girls is 2:5. If there are 94 total, how many of each are there?

There are 27 of the first and 67 of the second.

Step 1: Total ratio parts = 2 + 5 = 7. Step 2: Value of one ratio part = total ÷ total parts = 94 ÷ 7 = 13.43. Step 3: First part count = 2 × 13.43 = 27. Step 4: Second part count = 5 × 13.43 = 67.

ratio

hard

32

A population of 111 grows by 13% annually. What is the new population?

The result is 125.43.

Step 1: Original value = 111. Step 2: Increase percentage = 13%. Step 3: Increase amount = 111 × 0.13 = 14.43. Step 4: New value = original + increase = 111 + 14.43 = 125.43.

percentage

easy

33

Convert 2 hours to seconds.

2 hours is 7200 seconds.

Step 1: 1 hour = 60 minutes = 3600 seconds. Step 2: 2 hours = 2 × 3600 = 7200 seconds.

time_logic

hard

34

The ratio of boys to girls is 2:3. If there are 84 total, how many of each are there?

There are 34 of the first and 50 of the second.

Step 1: Total ratio parts = 2 + 3 = 5. Step 2: Value of one ratio part = total ÷ total parts = 84 ÷ 5 = 16.80. Step 3: First part count = 2 × 16.80 = 34. Step 4: Second part count = 3 × 16.80 = 50.

ratio

medium

35

Lilly भट्टाचार्य is 5 years old. Kim Aporti is 40 years older. How old is Kim Aporti?

Kim Aporti is 45 years old.

Step 1: Lilly भट्टाचार्य is 5 years old. Step 2: Kim Aporti is 40 years older. Step 3: Add 40 to 5: 5 + 40 = 45.

age

easy

36

A rectangle has length 11 cm and width 26 cm. What is its area?

The area is 286 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 11 cm, width = 26 cm. Step 3: Area = 11 × 26 = 286 cm².

geometry

hard

37

अनिल Stewart is 21 years old. باهرة Ludwik is 8 years old. What is the sum of their ages?

The sum of their ages is 29 years.

Step 1: अनिल Stewart is 21 years old. Step 2: باهرة Ludwik is 8 years old. Step 3: Add their ages: 21 + 8 = 29.

age

medium

38

What is 342 + 790?

The result is 1132.

Step 1: Identify the operation: addition. Step 2: Add 342 and 790. Step 3: 342 + 790 = 1132.

basic_arithmetic

hard

39

A triangle has base 32 cm and height 20 cm. Calculate its area.

The area is 320.0 cm².

Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 32 cm, height = 20 cm. Step 3: Area = ½ × 32 × 20 = 320.0 cm².

geometry

hard

40

Find x if 2x + 3 equals 29

The solution is x = 13.00.

Step 1: Start with equation: 2x + 3 = 29. Step 2: Subtract 3 from both sides: 2x = 29 - 3 = 26. Step 3: Divide both sides by 2: x = 26 / 2 = 13.00.

algebra

hard

41

What is 39 × 19?

The result is 741.

Step 1: Identify the operation: multiplication. Step 2: Multiply 39 by 19. Step 3: 39 × 19 = 741.

basic_arithmetic

medium

42

The sum of ages of Stig Игнатов and Agatha Cavalcanti is 67. If Stig Игнатов is 27 years old, how old is Agatha Cavalcanti?

The sum of their ages is 67 years.

Step 1: Stig Игнатов is 27 years old. Step 2: Agatha Cavalcanti is 40 years old. Step 3: Add their ages: 27 + 40 = 67.

age

hard

43

Иван Ribera is 22 years old. Müzekker Roman is 15 years old. What is the sum of their ages?

The sum of their ages is 37 years.

Step 1: Иван Ribera is 22 years old. Step 2: Müzekker Roman is 15 years old. Step 3: Add their ages: 22 + 15 = 37.

age

easy

44

If a meeting starts at 11:45 and lasts 3 hours and 30 minutes, when does it end?

The meeting ends at 15:15.

Step 1: Start time: 11:45 = 705 minutes. Step 2: Duration: 3h 30min = 210 minutes. Step 3: End time in minutes: 705 + 210 = 915 minutes. Step 4: Convert to hours and minutes: 915 minutes = 15 hours and 15 minutes. Step 5: Format: 15:15.

time_logic

easy

45

春梅 तिवारी ate 1/6 of a pizza. 健一 Ottino ate 3/4. How much pizza remains?

0.08 of the pizza remains.

Step 1: 春梅 तिवारी ate 1/6 of the pizza. Step 2: 健一 Ottino ate 3/4 of the pizza. Step 3: Total eaten = 1/6 + 3/4 = 0.92. Step 4: Remaining = 1 - 0.92 = 0.08.

fraction

easy

46

A triangle has base 20 cm and height 4 cm. Calculate its area.

The area is 40.0 cm².

Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 20 cm, height = 4 cm. Step 3: Area = ½ × 20 × 4 = 40.0 cm².

geometry

easy

47

The ratio of teachers to students is 4:4. If there are 75 total, how many of each are there?

There are 38 of the first and 38 of the second.

Step 1: Total ratio parts = 4 + 4 = 8. Step 2: Value of one ratio part = total ÷ total parts = 75 ÷ 8 = 9.38. Step 3: First part count = 4 × 9.38 = 38. Step 4: Second part count = 4 × 9.38 = 38.

ratio

hard

48

161 increased by 5% equals what?

The result is 169.05.

Step 1: Original value = 161. Step 2: Increase percentage = 5%. Step 3: Increase amount = 161 × 0.05 = 8.05. Step 4: New value = original + increase = 161 + 8.05 = 169.05.

percentage

medium

49

Solve for x: 6x + 20 = 11

The solution is x = -1.50.

Step 1: Start with equation: 6x + 20 = 11. Step 2: Subtract 20 from both sides: 6x = 11 - 20 = -9. Step 3: Divide both sides by 6: x = -9 / 6 = -1.50.

algebra

hard

50

A rectangular pool is 24 m long and 24 m wide. What is its area in square meters?

The area is 576 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 24 cm, width = 24 cm. Step 3: Area = 24 × 24 = 576 cm².

geometry

medium

51

A train covers 396 km from West Charleneland to East Patrick in 6 hours. What is its average speed?

The average speed is 66.0 km/h.

Step 1: Formula: speed = distance ÷ time. Step 2: Distance = 396 km, time = 6 hours. Step 3: Speed = 396 ÷ 6 = 66.0 km/h.

distance_speed

easy

52

The ratio of cars to bikes is 5:2. If there are 58 total, how many of each are there?

There are 41 of the first and 17 of the second.

Step 1: Total ratio parts = 5 + 2 = 7. Step 2: Value of one ratio part = total ÷ total parts = 58 ÷ 7 = 8.29. Step 3: First part count = 5 × 8.29 = 41. Step 4: Second part count = 2 × 8.29 = 17.

ratio

medium

53

सुरेश सुब्रमण्यम ate 1/8 of a pizza. Françoise الجفالي ate 1/4. How much pizza remains?

0.62 of the pizza remains.

Step 1: सुरेश सुब्रमण्यम ate 1/8 of the pizza. Step 2: Françoise الجفالي ate 1/4 of the pizza. Step 3: Total eaten = 1/8 + 1/4 = 0.38. Step 4: Remaining = 1 - 0.38 = 0.62.

fraction

medium

54

107 increased by 30% equals what?

The result is 139.10.

Step 1: Original value = 107. Step 2: Increase percentage = 30%. Step 3: Increase amount = 107 × 0.3 = 32.10. Step 4: New value = original + increase = 107 + 32.10 = 139.10.

percentage

easy

55

251 + 487 equals what?

The result is 738.

Step 1: Identify the operation: addition. Step 2: Add 251 and 487. Step 3: 251 + 487 = 738.

basic_arithmetic

easy

56

Mikayla Silva has a class at 14:00 that lasts 3 hours. After a 27-minute break, Mikayla Silva has another activity. When does the second activity start?

The second activity starts at 17:27.

Step 1: class starts at 14:00 and lasts 3 hours. Step 2: class ends at 17:00. Step 3: Break lasts 27 minutes. Step 4: Add break to end time: 17:00 + 27 minutes = 17:27.

time_logic

medium

57

Solve the quadratic equation: x² - 8x + 12 = 0

The solutions are x = 2 and x = 6.

Step 1: Equation is x² - 8x + 12 = 0. Step 2: Factor the quadratic: (x - 2)(x - 6) = 0. Step 3: Set each factor to zero: x - 2 = 0 or x - 6 = 0. Step 4: Solve for x: x = 2 or x = 6.

algebra

medium

58

Reduce the fraction 28/45 to its simplest form.

The simplified fraction is 28/45.

Step 1: Original fraction is 28/45. Step 2: Find GCD of 28 and 45. GCD = 1. Step 3: Divide numerator and denominator by GCD: 28 ÷ 1 = 28, 45 ÷ 1 = 45.

fraction

medium

59

If Rik Zijlemans gets 25% discount on a $113 item, what's the final price?

The final price is $84.75.

Step 1: Original price = $113. Step 2: Discount percentage = 25%. Step 3: Discount amount = 113 × 0.25 = $28.25. Step 4: Final price = original - discount = $113 - $28.25 = $84.75.

percentage

hard

60

If a meeting starts at 12:45 and lasts 1 hours and 30 minutes, when does it end?

The meeting ends at 14:15.

Step 1: Start time: 12:45 = 765 minutes. Step 2: Duration: 1h 30min = 90 minutes. Step 3: End time in minutes: 765 + 90 = 855 minutes. Step 4: Convert to hours and minutes: 855 minutes = 14 hours and 15 minutes. Step 5: Format: 14:15.

time_logic

easy

61

What is the perimeter of a square with side 13 cm?

The perimeter is 52 cm.

Step 1: Formula for perimeter of square = 4 × side. Step 2: Side = 13 cm. Step 3: Perimeter = 4 × 13 = 52 cm.

geometry

hard

62

A milk costs $42.07. If प्रेम Ollivier buys 2 of them, what is the total price?

प्रेम Ollivier spent $75.83 in total.

Step 1: Identify the items and their prices: shirt costs $42.07, banana costs $33.76. Step 2: Add the prices to find the total. Step 3: $42.07 + $33.76 = $75.83.

shopping

medium

63

Solve for x: 10x + 13 = 16

The solution is x = 0.30.

Step 1: Start with equation: 10x + 13 = 16. Step 2: Subtract 13 from both sides: 10x = 16 - 13 = 3. Step 3: Divide both sides by 10: x = 3 / 10 = 0.30.

algebra

medium

64

A circle has radius 15 cm. What is its circumference? (Use π = 3.14)

The circumference is 94.20 cm.

Step 1: Formula for circumference of circle = 2 × π × radius. Step 2: Radius = 15 cm, π = 3.14. Step 3: Circumference = 2 × 3.14 × 15 = 94.20 cm.

geometry

hard

65

A rectangular prism has dimensions 10cm × 6cm × 7cm. What is its volume?

The volume is 420 cm³.

Step 1: Formula for volume of rectangular prism = length × width × height. Step 2: Length = 10 cm, width = 6 cm, height = 7 cm. Step 3: Volume = 10 × 6 × 7 = 420 cm³.

volume

medium

66

If a train journey takes 4 hours and 21 minutes, and another takes 4 hours and 46 minutes, what is the total travel time?

The total travel time is 9 hours and 7 minutes.

Step 1: First journey: 4h 21min. Step 2: Second journey: 4h 46min. Step 3: Add hours: 4 + 4 = 8 hours. Step 4: Add minutes: 21 + 46 = 67 minutes. Step 5: Convert excess minutes to hours: 67 minutes = 7 minutes with 1 hour(s) to add. Step 6: Total: 9 hours and 7 minutes.

time_logic

easy

67

If a meeting starts at 17:00 and lasts 4 hours and 0 minutes, when does it end?

The meeting ends at 21:00.

Step 1: Start time: 17:00 = 1020 minutes. Step 2: Duration: 4h 0min = 240 minutes. Step 3: End time in minutes: 1020 + 240 = 1260 minutes. Step 4: Convert to hours and minutes: 1260 minutes = 21 hours and 0 minutes. Step 5: Format: 21:00.

time_logic

easy

68

What is the probability of picking a blue marble from a bag with 3 blue and 5 red marbles?

The probability is 3/8 or 37.5%.

Step 1: Total marbles = 3 blue + 5 red = 8 marbles. Step 2: Blue marbles = 3. Step 3: Probability = 3/8 = 0.375.

probability

easy

69

If a meeting starts at 08:30 and lasts 4 hours and 30 minutes, when does it end?

The meeting ends at 13:00.

Step 1: Start time: 08:30 = 510 minutes. Step 2: Duration: 4h 30min = 270 minutes. Step 3: End time in minutes: 510 + 270 = 780 minutes. Step 4: Convert to hours and minutes: 780 minutes = 13 hours and 0 minutes. Step 5: Format: 13:00.

time_logic

easy

70

Convert 6 minutes to seconds.

6 minutes is 360 seconds.

Step 1: 1 minute = 60 seconds. Step 2: 6 minutes = 6 × 60 = 360 seconds.

time_logic

medium

71

A rectangle has length 35 cm and width 3 cm. What is its area?

The area is 105 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 35 cm, width = 3 cm. Step 3: Area = 35 × 3 = 105 cm².

geometry

hard

72

57 increased by 12% equals what?

The result is 63.84.

Step 1: Original value = 57. Step 2: Increase percentage = 12%. Step 3: Increase amount = 57 × 0.12 = 6.84. Step 4: New value = original + increase = 57 + 6.84 = 63.84.

percentage

easy

73

The ratio of apples to oranges is 3:3. If there are 80 total, how many of each are there?

There are 40 of the first and 40 of the second.

Step 1: Total ratio parts = 3 + 3 = 6. Step 2: Value of one ratio part = total ÷ total parts = 80 ÷ 6 = 13.33. Step 3: First part count = 3 × 13.33 = 40. Step 4: Second part count = 3 × 13.33 = 40.

ratio

hard

74

Alberico रॉय went shopping with $181.30. After buying toy for $78.00, how much money remains?

He has $103.30 remaining.

Step 1: Alberico रॉय started with $181.30. Step 2: He spent $78.00 on apple. Step 3: Subtract the spent amount from the initial money: $181.30 - $78.00 = $103.30.

shopping

hard

75

Reduce the fraction 15/39 to its simplest form.

The simplified fraction is 5/13.

Step 1: Original fraction is 15/39. Step 2: Find GCD of 15 and 39. GCD = 3. Step 3: Divide numerator and denominator by GCD: 15 ÷ 3 = 5, 39 ÷ 3 = 13.

fraction

easy

76

A population of 160 grows by 16% annually. What is the new population?

The result is 185.60.

Step 1: Original value = 160. Step 2: Increase percentage = 16%. Step 3: Increase amount = 160 × 0.16 = 25.60. Step 4: New value = original + increase = 160 + 25.60 = 185.60.

percentage

hard

77

Auguste van der Heyden is 22 years old. In 9 years, how old will she be?

In 3 years, Auguste van der Heyden will be 25 years old.

Step 1: Current age of Auguste van der Heyden is 22 years. Step 2: We want to find age in 3 years. Step 3: Add 3 to current age: 22 + 3 = 25.

age

medium

78

A recipe requires 3/4 cup of flour. For 4 batches, how much flour is needed?

3.00 cups of flour are needed.

Step 1: One batch requires 3/4 cup of flour. Step 2: We need 4 batches. Step 3: Multiply 3/4 by 4: (3 × 4) / 4 = 3.00.

fraction

hard

79

Compute 187 - 62.

The result is 125.

Step 1: Identify the operation: subtraction. Step 2: Subtract 62 from 187. Step 3: 187 - 62 = 125.

basic_arithmetic

medium

80

What is 30% of 164?

30% of 164 is 49.20.

Step 1: We need to find 30% of 164. Step 2: Percentage calculation: 164 × 0.3. Step 3: 164 × 0.3 = 49.20.

percentage

easy

81

A triangle has base 29 cm and height 25 cm. Calculate its area.

The area is 362.5 cm².

Step 1: Formula for area of triangle = ½ × base × height. Step 2: Base = 29 cm, height = 25 cm. Step 3: Area = ½ × 29 × 25 = 362.5 cm².

geometry

easy

82

A rectangular pool is 28 m long and 18 m wide. What is its area in square meters?

The area is 504 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 28 cm, width = 18 cm. Step 3: Area = 28 × 18 = 504 cm².

geometry

hard

83

If Carly Alba gets 13% discount on a $166 item, what's the final price?

The final price is $144.42.

Step 1: Original price = $166. Step 2: Discount percentage = 13%. Step 3: Discount amount = 166 × 0.13 = $21.58. Step 4: Final price = original - discount = $166 - $21.58 = $144.42.

percentage

medium

84

If 2/3 of students are boys and there are 59 students, how many are girls?

There are 23 girls.

Step 1: Total students = 67. Step 2: Fraction of boys = 2/3. Step 3: Number of boys = 67 × 2/3 = 44. Step 4: Number of girls = total - boys = 67 - 44 = 23.

fraction

medium

85

Nicholas Ribeiro is 36 years old. Geraldo Bongiorno is 11 years old. What is the sum of their ages?

The sum of their ages is 47 years.

Step 1: Nicholas Ribeiro is 36 years old. Step 2: Geraldo Bongiorno is 11 years old. Step 3: Add their ages: 36 + 11 = 47.

age

medium

86

Mark Harvey has a training session at 11:00 that lasts 1 hours. After a 45-minute break, Mark Harvey has another activity. When does the second activity start?

The second activity starts at 12:45.

Step 1: training session starts at 11:00 and lasts 1 hours. Step 2: training session ends at 12:00. Step 3: Break lasts 45 minutes. Step 4: Add break to end time: 12:00 + 45 minutes = 12:45.

time_logic

easy

87

A circle has radius 5 cm. What is its circumference? (Use π = 3.14)

The circumference is 31.40 cm.

Step 1: Formula for circumference of circle = 2 × π × radius. Step 2: Radius = 5 cm, π = 3.14. Step 3: Circumference = 2 × 3.14 × 5 = 31.40 cm.

geometry

easy

88

If Brittany Becker thinks of a number, multiplies it by 2, and gets 28, what was the original number?

The original number is 14.

Step 1: Let the unknown number be x. Step 2: According to the problem: x × 2 = 28. Step 3: Divide both sides by 2: x = 28 ÷ 2 = 14.

algebra

easy

89

The ratio of cars to bikes is 2:3. If there are 35 total, how many of each are there?

There are 14 of the first and 21 of the second.

Step 1: Total ratio parts = 2 + 3 = 5. Step 2: Value of one ratio part = total ÷ total parts = 35 ÷ 5 = 7.00. Step 3: First part count = 2 × 7.00 = 14. Step 4: Second part count = 3 × 7.00 = 21.

ratio

hard

90

Find the roots of x² - 14x + 45 = 0

The solutions are x = 5 and x = 9.

Step 1: Equation is x² - 14x + 45 = 0. Step 2: Factor the quadratic: (x - 5)(x - 9) = 0. Step 3: Set each factor to zero: x - 5 = 0 or x - 9 = 0. Step 4: Solve for x: x = 5 or x = 9.

algebra

medium

91

A rectangular pool is 32 m long and 12 m wide. What is its area in square meters?

The area is 384 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 32 cm, width = 12 cm. Step 3: Area = 32 × 12 = 384 cm².

geometry

hard

92

The ratio of boys to girls is 2:3. If there are 100 total, how many of each are there?

There are 40 of the first and 60 of the second.

Step 1: Total ratio parts = 2 + 3 = 5. Step 2: Value of one ratio part = total ÷ total parts = 100 ÷ 5 = 20.00. Step 3: First part count = 2 × 20.00 = 40. Step 4: Second part count = 3 × 20.00 = 60.

ratio

easy

93

A rectangle has length 15 cm and width 10 cm. What is its area?

The area is 150 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 15 cm, width = 10 cm. Step 3: Area = 15 × 10 = 150 cm².

geometry

easy

94

124 increased by 6% equals what?

The result is 131.44.

Step 1: Original value = 124. Step 2: Increase percentage = 6%. Step 3: Increase amount = 124 × 0.06 = 7.44. Step 4: New value = original + increase = 124 + 7.44 = 131.44.

percentage

medium

95

A cylinder has radius 7 cm and height 18 cm. What is its volume? (Use π = 3.14)

The volume is 2769.48 cm³.

Step 1: Formula for volume of cylinder = π × radius² × height. Step 2: Radius = 7 cm, height = 18 cm, π = 3.14. Step 3: Volume = 3.14 × 7² × 18 = 3.14 × 49 × 18 = 2769.48 cm³.

volume

easy

96

A rectangular pool is 47 m long and 28 m wide. What is its area in square meters?

The area is 1316 cm².

Step 1: Formula for area of rectangle = length × width. Step 2: Length = 47 cm, width = 28 cm. Step 3: Area = 47 × 28 = 1316 cm².

geometry

easy

97

Find x if 9x + 8 equals 21

The solution is x = 1.44.

Step 1: Start with equation: 9x + 8 = 21. Step 2: Subtract 8 from both sides: 9x = 21 - 8 = 13. Step 3: Divide both sides by 9: x = 13 / 9 = 1.44.

algebra

medium

98

حبّاب Barre is 30 years old. Ana मजूमदार is twice as old. How old is Ana मजूमदार?

Ana मजूमदार is 60 years old.

Step 1: حبّاب Barre is 30 years old. Step 2: Ana मजूमदार is twice as old. Step 3: Multiply 30 by 2: 30 × 2 = 60.

age

medium

99

If a train journey takes 5 hours and 2 minutes, and another takes 4 hours and 47 minutes, what is the total travel time?

The total travel time is 9 hours and 49 minutes.

Step 1: First journey: 5h 2min. Step 2: Second journey: 4h 47min. Step 3: Add hours: 5 + 4 = 9 hours. Step 4: Add minutes: 2 + 47 = 49 minutes. Step 5: Convert excess minutes to hours: 49 minutes = 49 minutes with 0 hour(s) to add. Step 6: Total: 9 hours and 49 minutes.

time_logic

medium

100

The ratio of cars to bikes is 2:2. If there are 49 total, how many of each are there?

There are 24 of the first and 24 of the second.

Step 1: Total ratio parts = 2 + 2 = 4. Step 2: Value of one ratio part = total ÷ total parts = 49 ÷ 4 = 12.25. Step 3: First part count = 2 × 12.25 = 24. Step 4: Second part count = 2 × 12.25 = 24.

ratio

hard

Datasets:

Narthanan
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NarthananMath_1M-V1

NarthananMath_1M-V1 ⚡

Models trained or fine-tuned on Narthanan/NarthananMath_1M-V1

Narthanan/Llama-3.2-1B-NarthananMath_1M-V1