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A battery of four cells connected in series produces an emf of 4.8V. Determine the emf of a battery of five such cells. 1mk 4. Figure 3 shows a bar magnet AB suspended by a thread. When the North pole of hand held bar magnet is brought close to end B, there is repulsion. State with a reason the observation made when a ... |
A State one similarity between the working of the human eye and the camera. 1mk b State one possible cause of short sight. 1mk 13. Arrange the following electromagnetic waves in order of decreasing frequency. Red light, X-rays, Infrared, radio waves. 1mk Draw a ray diagram showing how the image is formed. 2mks Soft iro... |
1mk b Figure 10 shows some parts of a cathode ray oscilloscope. C.R.O i Explain how the electrons are produced in the tube. 2mks ii State the function of part C1. 1mk www.freekcsepastpapers.com7 iii Give the collective name for parts A, B, C1 and C2 1mk c Figure 11 shows the output signal on a C.R.O when an a.c signal ... |
All working must be clearly shown. Non programmable silent electronic calculators and KNEC mathematical tables may be used. Question 1 A You are provided with the following apparatus: Concave mirror and a holder Metre rule Candle about 7cm White screen a i Determine the focal length of the mirror by focusing a distant ... |
Time 20 oscillations and obtain t1.t1 ..s 1mk iii Find the periodic time T1.T1 ..s 1mk iv Use the equation pe2T to find the value of P1. 3mks Question 2 You are provided with the following. A micrometer screw gauge to be shared Nichrome wire mounted on a mm scale labeled AB A voltmeter 0-3V or 0-5V Ammeter 0-1A A switc... |
127K.C.S.E. GEOGRAPHY P22012 QUESTIONSSECTION AAnswer all the questions in this section.1 a What is mining? 2 marks b State four benefits of Soda Ash mining to the economy of Kenya. 4 marks 2. A Name two methods used in deep sea fishing. 2marks b State three ways in which the government of Kenya is promotingthe fishing... |
Study the photograph below and answer question Source: Internet a i Identify the type of photograph shown above. 1mark ii Draw a rectangle measuring 15 cm by 10 cm to represent the area coveredby the photograph. 1 mark For More Free KCSE past papers visit www.freekcsepastpapers.com129 iii On the rectangle, sketch and l... |
3 marks b Compare wheat farming in Kenya and Canada under the followingsubheadings: i research; 2 marks ii government policy; 2 marks ii transport. 2 marks b Explain four problems that affect wheat farming in Canada. 8 marks c Your Geography class intends to carry out a field study on wheatharvesting in a farm. I State... |
SECTION A 25 marks Answer all the questions in this section n the spaces provided, A drug manufacturer gives the mass of the active ingredient in a tablet as 5 mg. Express this quantity in kilogramme and in standard form, 1 mark The masses of equal volumes of certain liquid and of water were found to be my andrespectiv... |
Theatmospheric pressure of the surrounding is 8.4 x 10 Pa FiguresDetermine the pressure atthe point marked X, atthe bottom of the flask marks Explain the difference between a liquid and a gas in terms of intermolecular distances andforces. 2 tnarks Fig. 5 shows a toy resting on top ofa closed bottle. Use the informatio... |
Mark b A matatu starts from rest and accelerates to cover a distance of 49m in 7seconds. Determine: i itsacceleration; 3 marks Gi its velocity after 7seconds. 2 marks Atrolley moving on a horizontal bench of height 1.2m, strikes a barrie atthe edgeof the bench. The brass mass on the top ofthe toley flies off on impact ... |
Co b State two conditions necessary forthe process to take place marks o State what happens othe end-products ofthe process. S marks Give thee reason in ach case why support i necessary i plans 5 marks Gi animals 6 marks Whyismovement necessary in animals? Marks 'A freshly obtained dandelion stem measuring Sem long was... |
Marks b At what time ofthe day was the amount of ws the same for transpiration andabsorption? Mark Account for the shape of the graphs of transpiration; marks Gi absorption, G marks 4 What would happen to transpiration and absorption of water ifthe experiment wascontinued till 05 00 hours? 2 marks Name two factors that... |
KCSE 2011 HISTORY PAPER 1QUESTIONSSECTION A 25marks Answer all the question in this section in the answer booklet provided.1Give two unwritten sources of information on History and Government. 2marks 2What was the main reason for the migration of the Eastern Bantu fromShungwaya during the pre-colonial period? 1 mark 3G... |
KCSE 2011 HISTORY PAPER 1QUESTIONSSECTION A 25marks Answer all the question in this section in the answer booklet provided.1Give two unwritten sources of information on History and Government. 2marks 2What was the main reason for the migration of the Eastern Bantu fromShungwaya during the pre-colonial period? 1 mark 3G... |
2marks 2What was the main reason for the migration of the Eastern Bantu fromShungwaya during the pre-colonial period? 1 mark 3Give two reasons why Kenyan communities fought against each other during thepre Colonial period. 2 marks 4Identify the two main items of trade from the interior of Kenya during the longdistance ... |
285 FORM IV MOCK EXAMINATION, 2023 121 1 MATHEMATICS ALT A TERM 2 2023 C TIME: HRS SECTION I 50 marks Answer all questions in this section. 1. All odd numbers from 1 10 are arranged in descending order to form a number. I Write the number 1 mark ii Write the total value of the second digit of the number formed in a i 1... |
3 marks www.freekcsepastpapers.com286 9. Simplify 275 2 marks 10. Given the inequalities 29xxx a Solve the inequality 3 marks b Represent on a number line 1 mark 11. The diagram below represents a right rectangular based pyramid of 5 cm by 4 cm. The slant edge of the pyramid is 6 cm. Draw and label the net of the pyram... |
Hence state the y intercept. 4 marks 18. The marks scored by 30 students in test were recorded as follows a Starting with the class 18 22 , make a frequency distribution table for the data. 2 marks b Using the frequency distribution in a above calculate : i the mean 2 marks ii the median 3 marks c Draw a frequency poly... |
3 marks ii The acceleration of the bus 2 marks c A van left Nairobi at 8.30 a.m and travelled towards Mombasa at an average speed of 80 km h . At 8.30 am a car left Nairobi and travelled along the same road at an average speed of 120 km h . I Calculate the distance covered by the car to catch up with the van. 4 marks i... |
Without using tables or calculator, evaluate and simplify 4 marks sin 300 sin 450cos 600 1 4. Given the position vectors 4 8 2 and 3 2 . Point C divides vector AB in the ratio of 3:-1. Find the magnitude of . Give your answer to 2dp 3 marks 5. Given that the values P 8.2 cm, A 4.1cm and B 7.0 cm were measured to 1dp. F... |
The total number of both vaccines should be more than 600 boxes. The number of boxes of Johnson and Johnson should be less than 500 boxes and more or equal to twice the number of Astrazenica. Letting x to represent the number of Johnson and Johnson boxes and y to represent the number of boxes of Astrazenica. A i Form a... |
Calculate the radius of the circle. 3 marks 7. When a shopkeeper sells articles at Ksh 24.05, he makes a 30 profit on the cost price. During a sale, he reduced the price of each article to Ksh 22.95 . Calculate the percentage profit on an article sold at the sale price. 3 marks 8. The size of one interior angle of an i... |
3 marks www.freekcsepastpapers.com269 8. The figure below represents a plot of land ABCD such that AB 85m, BC 75m, CD 60m, DA 50m and angle ACB 900. Not drawn to scale . Determine the area of the plot, in hectares, correct to two decimal places. 3marks 9. A rectangular tank has a hole in it such that 11cm3 of water lea... |
Water and ethanol are mixed such that the ratio of the volume of water to that of ethanol is 3: 1. Taking the density of water as 1 g cm3 and that of ethanol as 1.2g cm3, find the mass in grams of 2.5 litres of the mixture. 3 marks 15. A Kenyan bureau buys and sells foreign currencies as shown below Buying Selling In K... |
It is folded to form a cone. Calculate to 1 decimal place: use a The curved surface area of the cone. 2 marks b The base radius of the cone. 3 marks c The vertical height of the cone. 2 marks d If 12 cm of the cone is chopped off to form a frustum as shown below. Calculate the volume of the frustum formed. 3 marks 19. ... |
3marks 12cmwww.freekcsepastpapers.com271 21. A Given that the matrix 2A , find A-1, the inverse of A. 2 marks b Kariuki bought 400 goats and 600 sheep for a total of Kshs 1,700,000. Maina bought 180 goats and 240 sheep for a total of Kshs 720,000. If the price of a goat is sh. X and that of a sheep is shs y, i Form two... |
Each day Sh. 6000 is used to cover running costs and wages. A Calculate their net profit per day. 2 marks b The matatu works for 25 days per month and is serviced every month at a cost of KSh. 10,000. Calculate their monthly profit in June. 1 mark c The three partners agreed to save 40 of the profit, 24 is shared equal... |
PXRT and QXS are straight lines. PX 6cm, RT 8cm, QX 4.8cm and XS 5cm. Find the length of QT 3 marks 4. Use the trapezium rule with seven ordinates to find the area bounded by the curve 2 1 lines x -2, x 4 and x axis 3 marks 5. Given that 2 make the subject of the formula 3 marks 6. A Construct triangle PQR such that PQ... |
I Expand and simplify 1-3x 5 upto the term in x3 2 marks ii Hence use your expansion to estimate 0.97 5 correct to 4d.p. 2 marks 11. Solve for x in the equation: 2 4 1 for 00 x 1800 3 marks 12. Wanjiku pays for a car on hire purchase in 15 monthly instalments. The cash price of the car is Ksh.300, 000 and the interest ... |
Tax rate 0 9860 10 9861 19720 15 19721 29580 20 29581 39440 25 39441 49300 30 49301 59160 35 over 59160 40 Maina earns a basic salary of Ksh.42000 and a monthly house allowance of sh.13000. He contributes 7.5 of his basic salary to pension scheme. This contribution is exempted from taxation. He is entitled to a persona... |
Find i The distance between P and Q to the nearest kilometres. 3 marks ii The local time of arrival at T if the plane flew at 470km hr. 2 marks 20. The probability that a student goes to school by a boda-boda is 23 and by a matatu is 14 . If he uses a bodaboda the probability that he is late is 25 and if he uses matatu... |
3marks b the first three terms of the G.P and the 10th term of the G.P. 4marks c The sum of the first 10 terms of the G.P. 3marks 23. In the triangle PQR below L and M are points on PQ and QR respectively such that PL:LQ 1:3 and QM:MR 1:2, PM and RL intersect at X, given that PQ b and PR c a Express the following vecto... |
2marks b. Use the graph to solve the equation 2 sin 2x 3cos x 450 0 for 00 x 1800 2marks www.freekcsepastpapers.com255 MUMIAS WEST FORM 4 JOINT EXAMINATIONS, 2023 121 1 MATHEMATICS PAPER 1 Section I 50 marks Answer all the questions in this section. 1. Without using calculators evaluate 1 3 of 52 2 marks 2. Use the met... |
Find the value of x in the following equation. 3 marks 9x 32x 1 53 8. The first and the last terms of an AP are 2 and 59 respectively. If the sum of the series is 610, find the number of terms in the series and the common difference. 4 mks 9. All prime numbers less than ten are arranged in descending order to form a nu... |
2 marks www.freekcsepastpapers.com257 20. Bujumba Boys Secondary School. Intends to buy a certain number of chairs For Ksh. 16,200. The supplier agreed to offer a discount of Ksh. 60 per chair which will enable the school to get 3 chairs more. Taking y as the originally intended number of chairs: - a Write an expressio... |
A On the grid provided plot the triangle ABC. 2 marks b A1B1C1 is the image of ABC under a translation 2 5 . Plot A1B1C1 and state its coordinates. 2 marks c Plot A11B11C11 the image of A1B1C1 after a rotation about the origin through a negative quarter turn. State its coordinates. 3 marks d A111B111C111 is the image o... |
3mks 3. The heights, in centimeters of 7 students were; 143, 139, 145, 154, 159, 147,156. Find the mean absolute deviation of the data. 3mks 4. Triangle ABC has vertices A 4, 1 , B 6, 1 and C 8, 3 . The image of ABC under a transformation N is A 2, 1 , B 4, 1 and C 2, 3 . Find the matrix N. 3mks 5. State the amplitude,... |
3mks 12. A die and a coin are cast simultaneously. I Draw a table to show all possible outcomes. 2mks ii What is the probability of a tail and a number less than 4 showing up. 1mk 13. Calculate the percentage error in the area of the triangle below given the included angle is exactly 50o. 3mks 14. Use binomial expansio... |
The figure below is a right pyramid on a rectangle base. TC TB TA 17cm and TO 15cm. AB is twice BC Calculate; i The length AB 4mks ii The angle between TC and plane ABCD. 2mks iii The angle between TO and plane TAB. 2mks iv The angle between TAD and ABCD. 2mks www.freekcsepastpapers.com261 20. A In mathematics, the sco... |
A The first term of an arithmetic progression AP is 6. The sum of the first 7 terms of the AP is 126. I Find the common difference of the AP 2mks ii Find the 19th term of the AP. 1mk b The 2nd, 3rd and 11th terms of an increasing arithmetic progression AP form the first 3 terms of a geometric progression GP . The first... |
Two brands of tea costing Sh. 160 and Sh. 140 per kilogram respectively are mixed in the ration 2: 3 by mass. The mixture is sold at Sh. 240 per kilogram. Find the percentage profit made. 3 marks 14. Triangle is the image of triangle ABC under transformation represented by the matrix 3154 . If the area of triangle is 1... |
2 marks iii A test tube is broken by a right handed student. 2 marks iv A test tube is not broken in any session 2 marks 18. In a triangle ABC, E is the midpoint of BC, D is a point on AC such that AD: DC 3: 2 and F is the point of intersection of AE and BD. Vectors and a Express the following vectors in terms of and o... |
15 . Calculate to 2 d.p. A Height VO. 3 marks b The inclination of VAB to ABC. 2 marks c The inclination of VB to ABC. 3 marks d The volume of the pyramid. 2 marks www.freekcsepastpapers.com244 23. A small-scale farmer wishes to buy some sheep and goats for rearing. Sheep cost Sh 400 and a goat cost Sh.300.The farmer h... |
Wasike starts cycling from his home at 8.00a.m toward s Wanjala s house at 16km h. Wanjala stars cycling towards Wasike s house 30 minutes later at 8km h. what time did they meet. 3mks 11. The line which joins the point A 3, K and B -2, 5 is parallel to the line whose equation is 5y 2x-7 0. Find the value of K. 3mks 12... |
A Calculate: i The area of one end of the roof. 4mks ii The area of the curve surface of the roof. 2mks b What would be cost to the nearest shilling of covering the two ends and the curved surface with galvanized iron sheet costing sh.80 per square meter? 4mks 18. A rectangular tank whose internal dimensions are 1.7m b... |
A straight line passes through the points 8, -2 and 4,-4 . A Write its equation in the form ax by c 0, where a, b and c are integers. 3 Marks b If the line in a above cuts the x-axis at point P, determine the coordinates of P. 2 Marks c Another line, which is perpendicular to the line in a above passes through point P ... |
3 marks b Given that a point M is on LN such that LM : MN 3:4, find the coordinate of M. 2 marks c If line OM is produced to T such that OM : MT 6:1 i Find the position vector of T. 1 mark ii Show that points L, T and B are collinear. 4 marks 23. A Complete the table below for the functions xforxxy 2 mks x -2 -1 0 1 2 ... |
The height and radius of a cone are measured as 21 cm and 14.0 cm respectively. Taking 3.142, find the percentage error in the volume of the cone. 3mks 4. Express the following in surd form and simplify by rationalizing the denominator without using a calculator and leave your answer in the form a 3mks 1 3001 600 5. So... |
And a premium relief of 10 on her insurance premium of K 800 p.a. The table of tax rate is as below. Taxable income K p.a. Rate 1 2100 10 2101 4200 15 4201 6300 20 6301 8400 25 Over 8400 30 Calculate; a Calculate the net tax per annum. 7mks b Other deductions includes W.C.P.S Shs 600 per month, NHIF Shs. 500 per month.... |
O, A, B, C is the image of OABC under transformation matrix. 2 00 2 a Find the coordinates of O1A1B1C1 2mks ii On the grid provided, draw OABC and O1A1B1C1 2mks b Find O11A11B11C11, the image of O1A1B1C1 under transformation matrix 1 00 2 2mks ii On the same grid draw O11A11B11C 11 1mk c Find a single matrix that maps ... |
I A retailer bought 10 kg of blend A rice. To this blend, the retailer added some Tamu rice to prepare a new mixture blend X. The .ratio of Refu rice to Tamu rice in blend X was 1:2. Determine the amount of Tamu rice that was added. 3marks ii The retailer sold blend X rice making a profit of 20 . Determine the selling ... |
Find the value of y in the equation 3 marks 21 yy 7. Mwangi spends one-third of his salary on food, one quarter on rent, three-fifth of the remainder on transport and saves the rest. If he spends Ksh. 8400 on transport, find how much money he saves. 3 marks 8. A Kenyan bureau buys and sells foreign currencies as shown ... |
If it took 51 2 hours at a speed of 910km hr, find the position of A. Take 22 7, R 6370km 3marks 13. Object A of area 10cm2 is mapped onto its image B of area 60cm2 by a transformation whose matrix is given by 4xP. Find the positive values of x. 3marks 14. Simplify 216a4b8a8ab6b 3 Marks 15. Solve the following simultan... |
4 marks ii the mass of the box in kg correct to 1 decimal place. 2 marks b Identical cylindrical tins of diameter 10cm, height 20cm with a mass of 120 grams each were packed in the box. Calculate the: i maximum number of tins that were packed. 2 marks ii total mass of the box with the tins in kilograms. 2 marks 19. The... |
John is a civil servant who earns a basic salary of Ksh. 38,300, house allowance of Ksh. 12,000 and a medical allowance of Ksh. 3600 every month. He claims a family relief of Ksh. 1172 and insurance relief of 3 of the premium paid. Using tax table below; calculate; Taxable Income Tax rates K p.a Ksh. Per pound 1 8800 2... |
The bus traveled at 100km h while the Nissan at 120km h. After 30 minutes, the Nissan had a puncture which took 30 minutes to mend. A How far from Nairobi did the Nissan catch up with the bus? 5 marks b At what time of the day did the Nissan catch up with the bus? 2 marks c At what time did the bus reach Cheptiret? 3 m... |
3 marks 9. In the figure below, BT is a tangent to the circle at B. AXCT and BXD are straight lines. AX 8cm, CT 8cm, BX 4cm and XD 5cm Calculate the length i XC 2 marks ii BT 1 mark 10. Solve for x in the equation Cos 3x -300 0.5 where 0 x 3600. 3 marks 11. Given that OA 2i 3j and OB 3i -2j. Find the magnitude of AB to... |
2 marks f Calculate the angle between planes GFEH and DAFG. 2 marks 20. A matrix 1 represents the transformation T, where the triangle ABC with A 1, 1 , B 5, 1 and C 2, 4 is transformed by T onto A1B1C1 a i Find the coordinates fo the image A1B1C1 of ABC under transformation T. 2 marks ii Draw the triangle A1B1C1 and A... |
3 marks ii the variance 3 marks iii the standard deviation to 4 decimal places, 1 mark b Estimate the medium of the distribution to 4significant figures 3 marks 22. An Arithmetic Progression A.P has its first term as a and a common difference d. a Find in terms of a and d, the first, third and eleventh terms of the AP.... |
Detemine:- a The distance PQ in nautical miles 2 marks b The position of town R. 4 marks c The local time at R in 24-hour system if the local time at Q is 3.12 pm. 2 marks d The distance moved from P to R in km. Take 1nm 1.853 km 2 marks P N X O M Q p q www.freekcsepastpapers.com183 MBORANU II FORM FOUR JOINT EVALUATIO... |
The Submarine at D on realizing that the ship was heading to the Island P, decides to head straight for the Island to intercept the ship. Using a scale of 1 cm to represent 10 km, make a scale drawing showing the relative positions of A, B, D and P. 4 marks Hence find: b The distance from A to D. 2 marks c The bearing ... |
Find the total cost of oranges and mangoes that each businesswoman bought after the percentage change. 3mks 24. The displacement, s metres, of a moving particle from a point O, after t seconds is given by, s a Find s when t 2 2mks b Determine: i the velocity of the particle when t 5 seconds; 3mks ii the value of t when... |
Make w the subject of the formula 3mks P 7. Given that y 3 sin x 60 0 find, amplitude, period and the phase angle of the function. 3mks 8. A ship sails due North from latitude 200 S for a distance of 1440nm. Find the latitude of the point it reaches 2mks 9. The equation of a circle is given by 32 3y2 3 42y 30 0. Determ... |
Calculate the difference between the cash price and the hire purchase price and express it as a percentage of the cash price. 3mks www.freekcsepastpapers.com190 23. In the figure below OPQ is a triangle in which OS OP and PR: RQ 2:1. Lines OR and SQ meet at T. a Given that OP p and OQ q. Express the following vectors i... |
3 marks Section II 50 marks Answer only five questions in the spaces provided. 17. A truck left Embu at 8.45 a.m and travelled toward Yala at an average speed of 50 km hr. A car left town Embu at 11.1 5 a.m on the same day and travelled along the same road at an average speed of 90 km h. The distance between the two to... |
The vertices of quadrilateral OABC are O 0, 0 , A 2, 0 B 4, 2 and C 0, 3 . The vertices of its image under a rotation are O 1, -1 , A 1, -3 B 3, -5 and C 4, -1 . A On a grid, draw OABC and its image O A B C. 2 marks b By construction, determine the centre and angle of rotation. 3 marks c On the same grid as a above, dr... |
3 marks ii. Its displacement by the time it comes to rest momentarily. 2 marks c Calculate the maximum velocity attained. 2 marks www.freekcsepastpapers.com165 KIHARU KAHURO FORM 4 JOINT EXAMINATION KENYA CERTIFICATE OF SECONDARY EDUCATION 121 2 MATHEMATICS PAPER 2 TIME: 2 HOURS SECTION I 50 MARKS Answer all questions ... |
3 marks 15. Solve for x in the equation 3 marks Log3 4 log3x 1 log35 log3 2 16. The table below shows the relationship between two variable x and y. x 0 1 2 3 4 5 6 y 3.0 3.6 4.3 4.7 5.4 6.0 6.6 a Draw a line of best fit for the above values. 2marks b Find the formula connecting x and y. 1mark SECTION II 50 MARKS Answe... |
A ship left points P 100 S, 1610 W and sailed to a point Q 100S, 1420 E using the shorter route along parallel of latitude at a speed of 20 knots. A Taking 227 , R 6370 km and 1nm 1.853 km, calculate to 2 decimal places. I The distance travelled by the ship in kilometres. 3 marks ii Time taken from P and Q 2 marks b Af... |
The perpendicular height of the pyramid VABCD. 2 marks c The pyramid VABCD was cut off. Find the volume of the frustum ABCDEFGH correct to 2 decimal places. 4 marks 24. Kamau has at least 50 acres of land on which he plans to plant potatoes and cabbages. Each acre of potatoes requires 6 men and each acre of cabbages re... |
3 marks 4. Two athletes were running 10,000m. Mboga was running at a constant speed of 200m per minute while Sukuma was running at a constant speed of 150m in half a minute. For how long did Sukuma wait for mboga also to finish? 3 marks 5. Simplify completely 82x4xx32 3 marks 6. Find the area of the quadrilateral ABCD ... |
She has four times as many twenty shilling coins as one hundred-shilling notes. Altogether she has sh 2160. How many one hundred-shilling notes does she have? 3marks 13. Given that 2A , find matrix B such that A2 A B 3 marks 14. The heights of two similar containers are 21cm and 28cm respectively. If the larger contain... |
3 marks 18. A solid frustum has a base radius of 21 cm and a top radius of 14cm. The frustum is 22.5 cm high and is made of a metal whose density is 3g cm3. Take 22 7 a Calculate i The volume of the metal in the Frustum. 5 marks ii The mass of the Frustum in kg. 2 marks b The Frustum is melted down and recast into a so... |
3 marks c Draw a histogram to represent the information above. 3 marks d Use the histogram to determine the median amount of money spent. 3 marks 22. A Sketch the curve y x 5 x and the line y x. 5 marks b Use integration method to determine the area bound by the curve y x 5 x and the line y x. 5 marks 23. A room measur... |
Calculate the time it would take certain borrowed amount to double. Give your answer to one decimal place. 3 marks 5. A Expand 1 2x 5 to the fourth term. 1 mark b Hence evaluate 1.02 5 correct to 3 d.p. 2 marks 6. A uniform distributor is required to supply two sizes of skirts to a school; medium and large sizes, she w... |
2 marks 13. In the figure below BT is a tangent to the circle at B. AXCT and BXD are straight lines XC 4cm, CT 8cm, BX 9.6cm and XD 2.5cm. Find the length of: a AX 1 mark A B D X T Cwww.freekcsepastpapers.com148 b BT 2 marks 14. Tap A can fill a bath in 4 min. Tap B can fill the same bath in 6 min and Tap C can empty t... |
Time Min 0 2 4 6 8 10 12 14 16 Temp 0C 80 60 46 35 26 20 16 14 12 a Draw the temperature time graph. 2 marks b Use the graph to determine the average rate of cooling of the liquid between the 5th and 13th minutes. 2 marks SECTION II: 50 Marks Answer only FIVE questions in this section. 19. The table below shows income ... |
2 marks iv Volume of the pyramid. 2 marks 19. A Complete the table below given y x3 4x2 x 6. For -2 x 4 2 marks x -2 -1 0 1 2 3 4 y 6 0 b On the gird provided draw the graph of y x3 4x2 x 6 for -2 x 4. Use the scale of 1 cm represent 5 units on the y- axis and 2 cm represent 1 unit on the x axis. 3 marks c Use your gra... |
2 marks d The total distance moved from P to R in KM. Take 1 nautical mile 1.853 Km 2 marks V C D 10cm 6cm O A Bwww.freekcsepastpapers.com150 22. A Complete the table below, giving the values correct to 2 decimal places. 2 marks x 0 30 60 90 120 150 180 210 240 270 300 330 360 Sin 2x 0 -0.87 0 3 Cos x 2 1 -3.5 -4.60 c ... |
Calculate the perimeter of the rhombus. 3marks SECTION II 50 marks Answer 5 questions only in this section 17. Three business partners Abila, Bwire and Chirchir contributed Ksh120,000, Ksh 180,000 and Ksh 240,000 respectively to boost their business. They agreed to put 20 of the profit accrued back into the business an... |
Find the equation of L3 in the form y mx c, where m and c are constants. 3 marks c Another line L4 is parallel to L1 and passes through -2, 3 . Find the x and y intercepts of L4 4 marks 20. The mases to the nearest kilogram of some student were recorded in table below Mass kg 41-50 51-55 56-65 66-70 71-85 Frequency 8 1... |
Www.freekcsepastpapers.com127 a Given that the distance between the two stations is 5225 m. Calculate i maximum speed in km h attained by the bus. 3 marks ii the acceleration of the bus 2 marks b A van left Nairobi at 8.00 a.m and travelled towards Mombasa at an average speed of 80 km h . At 8.30 am a car left Nairobi ... |
ABCD is a rectangle. Points E and F are directly below C and B respectively. M is the mid-point of CD. AB 8 cm, BC 10 cm and CE 4.5 cm. Calculate the Angle CAE makes with the plane ADEF 3marks SECTION II: 50 MARKS ANSWER ANY 5 QUESTIONS IN THIS SECTION 17. In the figure below, . 23 3: 1 a Express the following vectors ... |
Using a ruler and compasses only. I Construct a parallelogram ABCD such that AB 10cm, BC 7cm and angle ABC 105 . 3 marks ii Construct the loci of P and Q within the parallelogram such that 6cm. 4 and 6 3 marks iii Calculate the area within the parallelogram but outside regions bounded by the loci of P and Q. 4 marks 22... |
Use the graph to obtain the number of machines of each type that should be installed to obtain maximum profit. Calculate the maximum profit. 3marks www.freekcsepastpapers.com106 CEKENAS PREMOCK EXAMINATION, 2023 121 1 MATHEMATICS ALT. A Paper 1 Time: 2 Hours SECTION I 50MKS ANSWER ALL THE QUESTIONS IN THE SECTION 1. Tw... |
Calculate the surface area of the material used to make the lampshade. 4mks 9. Simplify xxx 2mk 10. A translation vector yyx2maps a point A 4,6 onto A1 9,12 . Find the value of x and y. 3mks 11. In the figure below A 62 42 , bc 8.4 cm and CN is a bisector of angle ACB. Calculate to 1dp the length of CN. 3mks www.freekc... |
3mks 3,4,9,5,4,7,6,2,1,6,7,8,9 SECTION II 50MARKS Answer any five questions in this section. 17. A straight line L1 has a gradient- 21 and passes through the p -1,3 . Another line l 2 Passes through the points Q 1,-3 and R 4,5 Find: a i The equation of l1 in the form y mx c, where m and c are constants. 2mks ii Hence f... |
The distance between Nairobi is 300km. Calculate a The time the bus arrived at Eldoret. 2mks b The time of the day two met. 4mks c The distance of the bus from Eldoret when the car arrived in Nairobi 2mks d The distance from Nairobi when two met. 2mks www.freekcsepastpapers.com108 20. Two equal circles with centres P a... |
Given that the sum of the first three terms of the progression is 76,find the whole number value of x and hence the first term. 5mks 18. A Complete the table below. 2mks b On the graph provided below on the same axis draw the graph of y 2cox and y sin 2x 300 for 1800 x take the scale 1cm for300 on the x axis and 2cm fo... |
4marks b The probability of the three horses X, Y and Z jumping over a fence are 0.5.,. 0.2 and 0.3 respectively i Draw a tree diagram to represent the information 1mark ii Find the probability that all the horses jump successfully 1mark iii Find the probability that only one horse jumps successfully 2marks iv Find the... |
3marks c If the pass mark is 55 how many students passed? 3marks d Find the range of marks scored by the middle 50 of the students 3marks 22. Karuku, Jaoko and Ezra contributed a total of Ksh.3, 579,000 to purchase a van. The ratio of Karuku s contribution to Jaoko s contribution was 4:3 while Ezra s contribution to Ka... |
Type X and type Y. Type X can carry 70 passengers and type Y can carry 40 passengers. They have to use at least 10 buses of each type must not be less than 3. A Form all linear inequalities to represent the above equation 3marks b On the grid provided draw the inequalities and shade the unwanted region 3marks c If the ... |
Find the equation of l in the form y mx c where m and c are constants. 3 marks 16. Mercy bought the following goods from supermarket 3kgs of sugar Ksh 160.00, 2 loaves of bread Ksh 120.00, 6 packets of milk Ksh 65.00www.freekcsepastpapers.com 87 a How much did she pay for the goods 2 marks b How much money did she rece... |
Two circles of radii 3.5cm and 4.2 cm with centres O1 and O2 respectively intersect at points A and B as shown in the figure below. The distance between the two centres is 6cm. 4.2cm3.5cmABO1O2 Calculate: a The size of AO1B 3 marks b The size of AO2B 3 marks c The area of quadrilateral O1AO2B to 2 dp 2 marks d The area... |
The lorry starts from rest and accelerated uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200 seconds. 650Speed m s Time in seconds Given that the distant between the two stations is 10450m, calculate the a Maximum speed in m s attained by the lorry ... |
Make u the subject of the formula z w u2 v2 3 marks 2. Betty withdrew sh 84,528 from a financial institution which included both the principal and compound interest that had accrued within two and half years. If the compound interest rate was 18 per annum calculate the principal 3 marks 3. Expand 1 3x 9 in ascending po... |
A In a geometrical progression the sum of the second and third and fourth term is -36. Find the first term and the common ratio. 4 marks b In an arithmetic progression the 12th term is 25 and the 7th term is three times the second term. Find i The first term and the common difference 4 marks ii The sum of the first 10 ... |
V is the vertex of the pyramid and VA VB VC VD 26cm. M and N are the midpoints of BC and AC respectively. AB 24cm and BC 18cm. ABCODV24cm18cm Calculate a The length of line AC 2 marks b The length of projection of VA on the plane ABCD 1 mark c The angle between line VA and the plane ABCD 2 marks d The vertical height o... |
Two inlet taps P and Q opened at the same time can fill a tank in 2 hours. The two taps were opened together at the same time and after 1 hour 10 minutes tap Q was closed and P continued alone and filled the tank after a further 4 hours. Find; a The fractions of the tank filled by both taps for 1 hour. 1 mark b The fra... |
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