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Paul is shopping for school supplies. He buys 5 notebooks, 3 of which have 80 pages each and 2 of which have 50 pages each. He also buys 3 pens. Each pen costs $1.50. How many pages did he buy? How much did he spend on pens? Answer: First, calculate the total number of pages Paul bought: 3 notebooks with 80 page...
A square is inscribed in a circle. A smaller square is inscribed in the first square. If the radius of the circle is 10, find the area of the smaller square. Answer: The side length of the larger square is 2*10 = 20. The diagonal of the smaller square is equal to the side length of the larger square, which is 20. The...
In Kaydence's class, 70% of the students' cats are male and the rest are female. Of the female cats, 1/3 have long tails and 2/3 have short tails. If there are 12 cats with short tails, how many total cats are there? Answer: If 70% of the cats are male, then 30% of the cats are female. If 2/3 of the female cats hav...
The number of points scored by a basketball team is shown below: 1st quarter - 16 points, 2nd quarter - 1 point, 3rd quarter - 2 points, 4th quarter - 11 points. What was the average number of points scored per quarter? Answer: The total number of points scored is 16 + 1 + 2 + 11 = <<16+1+2+11=30>>30 The average numb...
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high? Answer: The volume of the peanut butter jar is 3.14*1.5*1.5*4 = <<3.14*1.5*1.5*4=28.26>>28.26 cubic inches. The price of the ja...
When Bob's father was 35 years old, Bob was 7 years old. Now, Bob's father is three times as old as Bob is. How old is Bob now? Answer: Bob's father is 35-7=28 years older than Bob. Let Bob's age be x. Then Bob's father's age is 3x. Since Bob's father is 28 years older, we have 3x-x=28. This simplifies to 2x=28. Di...
A 12 inch pizza is cut into 6 equal slices. A 14 inch pizza is cut into 8 equal slices. A 16 inch pizza is cut into 10 equal slices. A 20 inch pizza is cut into 12 equal slices. How many pieces of pizza are there? Answer: There are 6 + 8 + 10 + 12 = <<6+8+10+12=36>>36 pieces of pizza. #### 36 Question: When Bob was 2...
If 4 people can make a total of 8 paper airplanes in 6 hours, at what rate are they making paper airplanes per hour? Answer: If 4 people can make 8 paper airplanes in 6 hours, then 4 people can make 8/6 = <<8/6=1.3333333333333333>>1.3333333333333333 paper airplanes per hour. #### 1.3333333333333333 Question: If 6 kil...
A restaurant has a fish tank that contains 62 pounds of water. The tank itself weighs 30 pounds. The tank is square, 4 feet long, and 6 feet tall. What is the density of the water in pounds per cubic foot? Answer: The volume of the tank is 4*4*6 = 96 cubic feet. The total weight is 30 + 62 = 92 pounds The density is ...
A square and equilateral triangle have the same perimeter. If the area of the triangle is 12, what is the area of the square? Answer: The area of the triangle is 12, and the formula for the area of an equilateral triangle is (sqrt(3)/4)*s^2, where s is the side length. So, we have (sqrt(3)/4)*s^2 = 12 Solving for s^2...
A farmer has 5 rows of apple trees in his orchard. Each row has 12 apple trees. If each tree produces 20 apples, how many apples does the farmer get in total? Answer: The number of apple trees is 5 x 12 = <<5*12=60>>60 The total number of apples is 60 x 20 = <<60*20=1200>>1200 #### 1200 Question: The city is holding ...
50% of 40 is 25% of what number? Answer: 50% of 40 is 20, because 50% = 1/2 and 1/2 of 40 is 20. So 25% of a number is 20. 25% = 1/4, so 1/4 of a number is 20. 4*20 = 80, so the number is 80. #### 80 Question: What is 1/4 of 1/2 of 1/5 of 200? Answer: 1/2 of 200 is 100 because 1/2 of 200 is 100. 1/5 of 100 is 20 bec...
A pizza shop sells small pizzas for $2 each, medium pizzas for $4 each, and large pizzas for $8 each. They sold 20 small pizzas and 15 medium pizzas. If they made $120 off the sales of pizzas, how many large pizzas did they sell? Answer: The small pizzas cost 20 * $2 = $40. The medium pizzas cost 15 * $4 = $60. Tog...
A pizza shop sells small pizzas for $6 each, medium pizzas for $9 each, and large pizzas for $12 each. If you order two small pizzas and one large pizza, what is the total cost of your order? Answer: The total cost is 2*$6 + $12 = $12 + $12 = $24. #### 24 Question: Timmy is building a rectangular box with length 5 f...
A traffic light is red for 38 seconds, yellow for 10 seconds, and green for 1 minute and 40 seconds. In a 24 hour period, how many minutes does the traffic light spend showing a green light? Answer: The total time for the traffic light cycle is 38 + 10 + 100 = 148 seconds. The total time for a 24 hour period is 24 * 6...
A square pizza measuring 8 inches by 8 inches that is one inch thick is cut into 4 pieces by making one vertical and one horizontal cut through the center. What is the total combined surface area of the pieces, including the two cut surfaces? Express your answer as a whole number. Answer: The total surface area of th...
Frank is shopping for a new TV. His new TV must have a width of 48 inches, width:height ratio is 16:9. If Frank has a 10 foot tall shelf to put the TV on, does it fit? Answer: The height is 48*9/16 = <<48*9/16=27>>27 inches. The shelf is 10 feet tall, which is 10*12 = <<10*12=120>>120 inches. The TV fits because 27 <...
A realloc() call allocates 100 bytes of memory for an array. The array is initially filled with zeros. The code then writes 15 to the first byte, 25 to the second, and 18 to the third. If the code subtracts 5 from the last byte, what is the sum of the bytes? Answer: The sum of the first 3 bytes is 15 + 25 + 18 = <...
A 12 foot by 12 foot dance floor is completely tiled with square tiles that are each 1 foot by 1 foot. Two opposite corners of the dance floor are connected by a diagonal. This diagonal passes through the interior of exactly how many tiles? Answer: A diagonal line connecting two opposite corners of a 12 by 12 square ...
4 kids are running a race. 2 are boys and 2 are girls. What is the number of possible orders they could finish in if only their gender is considered? Answer: If only the gender is considered, then there are two options for the first place: boy or girl. If the first place is a boy, then the second place must be a gir...
8/9 of the animals in a rescue center are cats and the rest are dogs. If there are 30 more cats than dogs, how many animals are there in the rescue center? Answer: If 8/9 of the animals are cats, then 1/9 of the animals are dogs. Let x be the total number of animals. Then 8/9*x = 30 + 1/9*x Solve for x: 8/9*x - 1/9*x...
In a group of 120 people, 1/4 are men, 1/3 of the remainder are women, and the rest are children. How many people are children? Answer: There are 120 people total in the group. 1/4 of them are men, so 120 * 1/4 = 30 are men. The remainder after removing the men is 120 - 30 = 90. 1/3 of the remainder are women, so 90 ...
There are 40 students in the 6th grade. Two-fifths of the students are girls. Three-quarters of the girls and one-third of the boys signed up to compete in the NHTS. How many students in the 6th grade did not sign up to compete in the NHTS? Answer: There are 40 students in total, and two-fifths of them are girls, ...
The number of fish in a school increased by 50% in the first year and by 30% in the second year. At the end of the second year, there were 350 fish. How many fish were there in the school at the beginning of the first year? Answer: Let's work backwards. If there were 350 fish at the end of the second year and the popu...
What is the area of a square with a side length of 12 inches? Answer: The area of a square is side length squared, so 12*12 = <<12*12=144>>144 square inches. #### 144 Question: The area of a square is 144 inches squared. What is the side length of the square? Answer: The area of a square is side length squared, so ...
A circle has a diameter of 10 inches. A second circle has a diameter of 20 inches. What is the ratio of the area of the smaller circle to the area of the larger circle? Express your answer as a common fraction. Answer: The radius of the smaller circle is 10/2 = 5 inches. The radius of the larger circle is 20/2 = 10 i...
The city of Jackson has a public park. The park has 7 trees for every 28 houses. If there are 140 houses in the city, how many trees are in the public park? Answer: First, find the ratio of trees to houses, which is 7 trees / 28 houses = 1 tree / 4 houses. Then, find the number of trees in the park for 140 houses, wh...
A pizza shop sells small pizzas for $10 each, medium pizzas for $14 each, and large pizzas for $18 each. One night the shop sells 16 pizzas and makes $236. If 3 of those were small pizzas, how many large pizzas did they sell? Answer: Let the number of medium pizzas be m and the number of large pizzas be l. The tota...
200 students are in a school. 40% are boys. How many students are girls? Answer: The total number of students is 200. If 40% are boys, then 60% are girls because 100% - 40% = 60%. The number of girls is 200*0.6 = <<200*0.6=120>>120 #### 120 Question: 200 students are in a school. 40% are boys. Then, 80 students leave...
If the profit on a pair of pants is $100 and the pair of pants sells for $1100, what percentage of the selling price is the profit? Answer: To find the percentage of the selling price that is the profit, we need to divide the profit by the selling price and multiply by 100. So, the percentage is (100 / 1100) * 100 = ...
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$$0.60. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high? Answer: To find the price for the larger jar, we can compare the volumes of the two jars. The volume of a cylinder is given by ...
9 students run in a laps race. 5 of them ran 5, 0, 5, 4, 5, 4, 5, 7, 5. The other 4 ran 8, 6, 3, 6. What was the mean number of laps run by the students? Answer: To find the mean number of laps, add up the total number of laps run by all students and divide by the number of students. The first group of students ran 5...
A jar of marbles contains 4 red, 10 blue, 1 white, and 5 green marbles. What is the probability of picking a marble that is not red? Answer: There are 4 red + 10 blue + 1 white + 5 green = 20 marbles in total. The number of marbles that are not red is 10 blue + 1 white + 5 green = 16 marbles. The probability of picki...
A 12 foot by 16 foot floor is covered by 1 foot by 1 foot square tiles. How many tiles are there? Answer: There are 12*16 = <<12*16=192>>192 tiles on the floor. #### 192 Question: The number of online customers increased from 200 to 240. By what percentage did the number of online customers increase? Answer: First f...
There are 40 students in the 6th grade. Two-fifths of the students are girls. One-fourth of the girls are in a math club. How many girls are in the math club? Answer: There are 40 students in the 6th grade. Two-fifths of the students are girls, so there are 40 * 2/5 = 16 girls. One-fourth of the girls are in a mat...
It takes 42 minutes for 2 people to paint 6 walls. How many minutes does it take 3 people to paint 9 walls? Answer: First find the number of minutes it takes 1 person to paint 1 wall. Since it takes 2 people 42 minutes to paint 6 walls, it takes 42*2 = 84 minutes for 1 person to paint 6 walls. It takes 84/6 = 14 minu...
80% of the kids like Princess Charlotte, 64% like Princess Meghan, and 10% like neither. What percentage likes both Princess Charlotte and Princess Meghan? Answer: Let the number of kids that like both Princess Charlotte and Princess Meghan be x. Then the number of kids that like Princess Charlotte is x + (80 - x) ...
What is the area of the shape below? Answer: The area of the shape is 3 * 6 = 18 square units. #### 18 Question: What is the area of the shape below? Answer: The area of the shape is 2 * 7 = 14 square units. #### 14 Question: What is the area of the shape below? Answer: The area of the shape is 3 * 6 = 18 square un...
Two years ago, it costs $100 to fence 100 feet of your garden. Today, it costs $140 to fence 140 feet of your garden. What is the percentage increase in the length of the fence for the same price? Answer: If it costs $100 to fence 100 feet, the price per foot is $100 / 100 = $1 per foot. If it costs $140 to fence 140...
What is the area of a triangle with a base of 4 and a height of 2? Answer: The area of a triangle is 1/2 the base times the height. So, 1/2 * 4 * 2 = 4 #### 4 Question: What is the sum of the first 100 odd numbers? Answer: The sum of the first n odd numbers is n^2. So, 100^2 = 10000 #### 10000 Question: What is the ...
In Kaydence's class, 70% of the students' cats are male and the rest are female. Of the female cats, 1/3 have long fur and the rest have short fur. If there are 15 female cats with short fur, how many cats are in Kaydence's class? Answer: Let x be the total number of cats. 70% of x are male, so 30% of x are female....
A square has a side length of 8 inches. What is the area of the square, in square inches? Answer: The area of a square is the side length squared: 8*8 = <<8*8=64>>64 square inches. #### 64 Question: A piece of paper is cut in half. Each subsequent cut is half the size of the previous cut. After 4 cuts, what is the p...
Each purple book has 230 pages. Each orange book contains 510 pages. If there are 4 purple books and 2 orange books, how many more orange pages than purple pages are there? Answer: First find the total number of pages in the purple books: 4 purple books * 230 pages = 920 pages Then find the total number of pages in t...
5 years ago, Rango was 24 years old. In 6 years, Rango will be 34 years old. How old is Rango now? Answer: 5 years ago, Rango was 24 years old. So, he is 24+5 = 29 years old now. In 6 years, Rango will be 34 years old. So, he is 34-6 = 28 years old now. Since both calculations should give the same age, let's check: R...
In Kaydence's class, 70% of the students' cats are black. The remaining students have grey cats or no cats at all. 40% of those with grey cats also have a dog. If 45% of the students have cats and dogs, what percentage of the students have no cats or dogs? Answer: 45% of the students have cats and dogs, so 55% of the...
On Kaydence's street, there are a total of 6 houses along her side of the street. The house numbers are consecutive odd numbers. If the first house is number 3, what is the house number of the last house on Kaydence's side of the street? Answer: The house numbers are consecutive odd numbers starting from 3. The secon...
The number of visitors to a website in the first week is 20. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 5 weeks? Answer: In the first week, there are 20 visitors. In the second week, there are 20*2 = 40 visitors...
A jar of marbles contains 4 red marbles, 5 green marbles, 10 white marbles and no other marbles. One marble is randomly drawn and then put back in the jar before drawing another marble. What is the probability that both marbles drawn are the same color? Express your answer as a common fraction. Answer: To solve th...
A scientist collects 0.08 milligrams of a substance. She uses 0.05 of it in an experiment. She needs 0.06 milligrams of it for another experiment. How much of the substance does she have now? Answer: 0.08 - 0.05 - 0.06 = 0.08 - 0.11 = -0.03 #### -0.03 Question: A farmer has 40 chickens. Each chicken lays 6 eggs. He...
A rectangular garden has a perimeter of 24 yards and is 4 yards wide. How many square yards does Alice have to tend to? Answer: The perimeter of a rectangle is 2 times the length plus 2 times the width. So if the perimeter is 24 and the width is 4, then the length is (24 - 2*4) / 2 = <<(24 - 2*4) / 2=8>>8 yards. The ...
A square has a side length of 8 inches. What is the area of the square, in square inches? Answer: The area of a square is the side length squared. Therefore, the area of this square is 8*8 = 64 square inches. #### 64 Question: There are 30 students in the class. One-third of them are in the play at school. Of tho...
57,962,318 is how many more than 57,962,308? Answer: 57,962,318 - 57,962,308 = <<57962318-57962308=10>>10 #### 10 Question: 7,802 + 43,006 + 358 + 2,980 + 20,004 + 512 + 2,400 is the same as how many more than 80,000? Answer: 7,802 + 43,006 + 358 + 2,980 + 20,004 + 512 + 2,400 = 80,062 80,062 - 80,000 = 62 #### 62 Q...
The number of points scored by a basketball team is 100. The team's 2-point shot is 40% of the total shots taken, the 3-point shot is 50% of the 2-point shot, and the 1-point free throw is 50% of the 3-point shot. How many of each shot did the team make? Answer: The team made 100/2 = <<100/2=50>>50 2-point shots. The...
A malt shop needs to hire 5 front of house staff and 6 back of house staff. If they need to pay them all $8 an hour, how much is their total payroll? Answer: There are 5+6=<<5+6=11>>11 staff members total. If each of them is paid $8 an hour, then the total payroll is 11*8=<<11*8=88>>$88. #### 88 Question: A bathtub ...
A pizza has 8 pieces. You eat three of them. Your friend eats 1/4 of the pizza. How many pieces are left? Answer: You ate 3 pieces, and your friend ate 1/4 of 8 = 2 pieces. In total, you and your friend ate 3+2 = <<3+2=5>>5 pieces. The pizza has 8 pieces originally, so there are 8-5 = <<8-5=3>>3 pieces left. #### 3 Q...
A square has a side length of 8 inches. What is the perimeter of the square? Answer: The perimeter of a square is equal to 4 times the length of one side. 4 * 8 = 32 inches #### 32 Question: A cube has a side length of 4 inches. What is the volume of the cube? Answer: The volume of a cube is equal to the length of ...
If 20 kids were initially on the field and 1/4 of them got sent home in the first 20 minutes, then 1/4 of those remaining got sent home 20 minutes later, how many kids were left on the field? Answer: If 20 kids were initially on the field, then 1/4 of 20 kids is 20/4 = 5 kids. So, 5 kids got sent home in the first 20...
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high? Answer: The volume of the first jar is π*(3/2)^2*4 = π*2.25*4 = 9π cubic inches. The volume of the second jar is π*(6/2)^2*6 = ...
A pizza shop offers 3 sizes of pizza, 2 types of crust, and 12 varieties of toppings. How many different custom pizza orders can be placed? Answer: There are 3 sizes of pizza to choose from, 2 types of crust to choose from, and 12 varieties of toppings to choose from. To find the total number of custom pizza orders t...
What is the area of a square with a side length of 12 inches? Answer: The area of a square is side length squared, so 12*12 = 144 #### 144 Question: What is the least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? Answer: The volume of a rectangular prism is length times wid...
Jack is 28 years old and Mike is 72 years old. How old is Mike when he is three times as old as Jack? Answer: Let's set up an equation where x is the number of years until Mike is three times as old as Jack. We know that 28+x = (1/3)(72+x). Multiply both sides by 3 to get 84+3x = 72+x. Subtract x from both sides to...
In Kaydence's class, 70% of the students' pets are cats. 20% are dogs. There are 24 pets in all. How many are cats? Answer: To find the number of cats, you multiply the total number of pets by the percentage that are cats. So, 24 pets * 70% = 24 * 0.7 = <<24*0.7=16.8>>16.8 Since you can't have a fraction of a pet, ro...
It is 2021 and technology is starting to fail. Every year, computers fail at a rate of 3%, cell phones fail at a rate of 5%, game consoles fail at a rate of 4%, and refrigerators fail at a rate of 10%. If Lydia's family has 7 computers, 12 cell phones, 4 game consoles, and 3 refrigerators, how many of these gadgets ...
A malt shop charges $4 for cake fries. They sell 500 of them every day. How much money do they make in a year? Answer: To find the total money made in a year, first calculate the daily earnings. The malt shop charges $4 for each cake fry and sells 500 of them every day. Therefore, the daily earnings are $4 * 500 = ...
25% of 600 is 15% of x. Find x. Answer: 25% of 600 is 150. So, 150 = 15% of x. To find x, we can set up the equation 150 = 0.15 * x. Solving for x, we get x = 150 / 0.15 = 1000. #### 1000 Question: The hypotenuse of a 45-45-90 triangle is 6. What is the length of one of the legs? Answer: In a 45-45-90 triangle, the ...
There are 40 kids in a class. On Monday, 2/5 of them were absent. On Tuesday, 2/5 of the students that were present on Monday were absent. How many students were absent on Tuesday? Answer: On Monday, 2/5 of the 40 kids were absent, so 40 * 2/5 = 16 kids were absent. Therefore, 40 - 16 = 24 kids were present. On Tuesd...
90% of the birds in a park are geese and 30% of those geese are swans. 25% of the swans have a blue tail while 40% of the remaining geese have a blue tail. There are 12 blue-tailed geese and swans in total. How many geese are not swans? Answer: Let's assume the total number of birds is 100. Then, 90% of them are gees...
10 years ago, Ann's mother was 4 times older than Ann. After 10 years, she is only twice as old as Ann. How old is Ann now? Answer: Let Ann's age 10 years ago be a, then her mother's age 10 years ago was 4a. After 10 years, Ann's age is a+10, and her mother's age is 4a+10. 4a+10 = 2(a+10) 4a+10 = 2a+20 2a = 10 a = 5 ...
A malt shop charges $2.20 for a burger and $0.80 for each additional topping. How much does a burger with 6 toppings cost? Answer: The total cost is $2.20 for the burger plus 6 * $0.80 for the toppings. 6 * $0.80 = $4.80 $2.20 + $4.80 = $7.00 #### 7.00 Question: A malt shop uses 2.1 pounds of flour to make one pizza...
A square is inscribed in a circle. A smaller square has one side coinciding with a side of the larger square and has two vertices on the circle. What is the ratio of the area of the smaller square to the area of the larger square? Answer: Let the radius of the circle be r. The diagonal of the larger square is the d...
The average age of the people in Kaydence's family is 25. If Kaydence's father is 60 years old, Kaydence's mother 2 years younger than Kaydence's father, Kaydence's brother 1/2 the age of Kaydence's father, and Kaydence's sister 40 years old, how many people live in Kaydence's family? Answer: If Kaydence's father is ...
12 is 150% of what number? Answer: To find the number, you can set up the equation 12 = 150% * x, where x is the number you're looking for. To solve for x, you can divide both sides of the equation by 150% (or 1.5 in decimal form): x = 12 / 1.5 = <<12/1.5=8>>8. #### 8 Question: 27 is what percent of 81? Answer: To f...
In one day, an airplane can fly 500 miles with the wind or 400 miles against the wind. How fast is the airplane flying and how fast is the wind blowing if the wind speed is the same as the airplane's speed? Answer: If the wind speed is the same as the airplane's speed, then the airplane is flying 500 miles in the dir...
A square has a side length of 8 inches. What is the area of the square, in square inches? Answer: The area of a square is the side length squared, so 8*8 = <<8*8=64>>64 square inches #### 64 Question: There are 640 ounces in 5 gallons. How many ounces are in 3 gallons? Answer: First, find how many ounces are in 1 ...
A square has a side length of 8 inches. What is the area of the square, in square inches? Answer: The area of a square is calculated by squaring the length of one of its sides. Given that the side length is 8 inches, the area is 8^2 = <<8^2=64>>64 square inches. #### 64 Question: Each purple book has 230 pages. Eac...
The hypotenuse of a 45-45-90 triangle is 10sqrt(2). What is the area of the triangle? Answer: In a 45-45-90 triangle, the hypotenuse is sqrt(2) times the length of each leg. So each leg is 10 units long. The area of a triangle is (1/2)bh, so the area of the triangle is (1/2)(10)(10) = 50 #### 50 Question: The numbe...
The Lischwitz family is building a house of cards. The overhang of the house is 10 cards. The height of the house is 3 times the overhang. How many cards do they need to build the house of cards? Answer: The height is 3*10 = <<3*10=30>>30 cards The total number of cards needed is 30+10 = <<30+10=40>>40 cards #### ...
In Kaydence's class, there are 20 students. Their teacher told them they could pay $45 to get sushi for the entire month. If they paid that amount and then Kaydence accidentally paid an extra $78, how much did each student effectively overpay? Answer: The total amount paid by the students is 20 x $45 = <<20*45=900>>9...
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high? Answer: First, calculate the volume of the first jar of peanut butter. Since it is cylindrical, the volume is given by the for...
A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler? Answer: There are 120-30=<<120-30=90>>90 grams that are not filler. To find the percentage, divide 90 by 120 and multiply by 100: 90/120 * 100 = 75% #### 75 Question: There are 150 students in a school. 1...
In a group of 90 kids, 1/5 like to eat ice cream, 3/10 like to eat cake, and the remaining 49 like to eat cookies. How many kids like to eat cookies? Answer: There are 90 kids in total. 1/5 of the kids like to eat ice cream, so 90 * 1/5 = 18 kids like to eat ice cream. 3/10 of the kids like to eat cake, so 90 * 3/10 ...
Frank is shopping for a new TV. His old TV has a diagonal measurement of 40 inches. If he buys a TV that has double the area of his old TV, what is the diagonal measurement of his new TV? Answer: The area of the old TV is 40*40/2 = <<40*40/2=800>>800 square inches. The area of the new TV is 800*2 = <<800*2=1600>>1600...
The city wants to replace all the floor tiles in each apartment building. Three buildings need to be replaced. One apartment has 5 floors, each floor has 6 rooms, and each room needs 100 square feet covered. The second and third building is the same price per square foot, but each floor in the second and third buildin...
100 people were asked if they dog or cat. 65 people said they like dogs and 45 people said they like cats. What is the maximum number of people who like both dogs and cats? Answer: The number of people who like dogs or cats is 65+45 = 110 people. However, there are only 100 people in the group. Therefore, the maximum...
A 12 foot by 12 foot dance floor is being built. The border of the floor is to be built with 4-foot square tiles. The inside of the dance floor will be made with 6-foot square tiles. How many tiles will be used? Answer: The border will be 4 tiles wide (12 - 4 - 4 = 4). The total number of border tiles is 4*12+4*12+4*...
The hypotenuse of a 45-45-90 triangle is 6. What is the area of the triangle? Answer: The legs of the 45-45-90 triangle are each 6/sqrt(2) = <<6/sqrt(2)=4.242640687119285>>4.242640687119285 units long. The area of the triangle is 1/2 * base * height = 1/2 * 4.242640687119285 * 4.242640687119285 = 9 #### 9 Question: W...
The number of people that can be seated at a table varies directly with the area of the table. If 10 people can be seated at a rectangular table measuring 4 feet by 7 feet, how many people can be seated at another rectangular table that measures 3 feet by 9 feet? Answer: The area of the first table is 4 x 7 = 28 squa...
A square has a side length of 8 inches. What is the area of the square, in square inches? Answer: The area of a square is the side length squared. Since the side length of the square is 8 inches, the area is 8^2 = 64 square inches. #### 64 Question: The volume of a cube is 512 cubic centimeters. What is the length of...
If there are 50 floats in the annual Mischief Marching Mania parade, each float is 20 feet long, and each float is 10 feet apart from the next, how long is the entire parade? Answer: There are 49 gaps between the floats, so the total length of the gaps is 49*10 = <<49*10=490>>490 feet. The total length of the floats ...
A 150-page book has pages numbered 1 through 150. How many more 1's are printed in the page numbers than 0's? Answer: There are 19 ones because 1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 31, 41, 51, 61, 71, 81, 91 There are 10 zeros because 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 The difference is 19-10= <<19-10=...
There are 40 kids in a preschool, 30% of them are likely to enroll in elementary school. How many kids are likely to enroll in elementary school? Answer: To find 30% of 40 kids, we can multiply 40 by 0.30 (which is the decimal equivalent of 30%): 40 * 0.30 = 12 #### 12 Question: The area of a square is 64. What is t...
A pizza shop offers 3 sizes of pizza: small, medium, and large. A small pizza is 10 inches in diameter, a medium pizza is 12 inches in diameter, and a large pizza is 14 inches in diameter. On Fridays, the pizza shop offers a 20% discount on medium pizzas. If they sold 5 small pizzas, 10 medium pizzas, and 4 large pizz...
What is the sum of the first 5 multiples of 5? Answer: The first 5 multiples of 5 are 5, 10, 15, 20, 25. Their sum is 5+10+15+20+25 = 75 #### 75 Question: What is the sum of the first 10 odd numbers? Answer: The first 10 odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19. Their sum is 1+3+5+7+9+11+13+15+17+19 = 100 ...
How many seconds is one day? Answer: One day is 24 hours. Each hour is 60 minutes. Each minute is 60 seconds. So one day is 24*60*60 = 86400 seconds. #### 86400 Question: An orphanage has 16 kittens. Each kitten has 16 whiskers. How many whiskers are there? Answer: 16 kittens with 16 whiskers each means 16*16 = 25...
A pizza shop sells pizzas with a diameter of 14 inches. If the pizza parlor decides to switch to medium pizzas with a diameter of 12 inches, what percent of the area of the original pizza will the new medium pizza be? Answer: The area of the original pizza with a diameter of 14 inches is π*(14/2)^2 = π*7^2 = 49π squa...
A 12 inch high by 12 inch deep by 48 inch long tank is half full. If 127 cubic inches of water is added how many inches taller will the water level be? Answer: The tank is 12 inches high, 12 inches deep, and 48 inches long. Since it is half full, the water level is 6 inches high. When 127 cubic inches of water is add...
A square pizza with side length 12 inches is cut into 2 equal-sized rectangles. What is the perimeter of each rectangle? Answer: The original square pizza has a perimeter of 12*4 = <<12*4=48>>48 inches. When it is cut in half, it becomes a rectangle that is 12 inches by 6 inches. The perimeter of this rectangle is 12...
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$$0.60. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high? Answer: The volume of the first jar is 3*3*3.14*4 = 113.04 cubic inches The volume of the second jar is 6*6*3.14*6 = 678.24 cub...
10 years ago, James was 1/4 the age in years of the person who was at that time 3 times as old as James is. In 15 years, James will be 3/5 the age of that person who will at that time be 4 years older than James is currently. How old will the person be who is currently 3 times as old as James? Answer: Let's call the ...
A scientist collects 0.08 grams of a substance. She uses 0.02 grams in one experiment and 0.03 grams in another experiment. How many grams of the substance does she have left? Answer: 0.08 - 0.02 - 0.03 = 0.08 - 0.05 = 0.03 #### 0.03 Question: The volume of a cube is 27,000 cm³. What is the area of one face of the c...