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Class 8 Mathematics revision questions and answers

Class 8 Mathematics revision questions and answers. In this session, we are going to solve KCPE exam standard questions. The questions are suitable for exam preparation and revision.

Lessons (49)

• 1.    Which of the following numbers below is twenty million twenty thousand and twenty? A. 20202020 B. 20220020 C. 20020202 D. 20020020
  4m 47s

• 2.    What is the value of 1.507+3.841-0.0564 correct to 2 decimal places? A. 4.39 B. 5.292 C. 5.29 D. 4.29
  3m 36s

• 3.    What is the value of 9.9306#div# 0.18 to the nearest one tenth? A. 55.1 B. 55.2 C. 60.0 D. 55.17
  3m 38s

• 4.    Pencils are sold in packets each containing 1#frac{1}{2}# dozen pencils. Ruth bought 6 packets of pencils at sh 30 per packet. She sold all the pencils at sh 10 for every 4 pencils. What percentage profit did she make? A. 75% B. 150% C. 33% D. 50%
  6m 41s

• 5.    What is the next number in the sequence below? 5, 12, 19, 26….. A. 39 B. 33 C. 40 D. 35
  1m 34s

• 6.    Simiyu, Wafula and Muhati shared some money in the ratio 2:3:5. Simiyu and Wafula received a total of sh 1200. How much money did Wafula and Muhati get altogether? A. Sh 1680 B. Sh 1920 C. Sh 1200 D. Sh 2400
  5m 50s

• 7.    What is the value of m#n^(2)#(#h^(2)#-mn)# div# #frac{2}{3}##m^(2)# when m=3, n=2 and h=4? A. 38 B. 20 C. 28 D. 24
  5m 8s

• 8.    A man deposited sh 30000 in a bank which paid compound interest at 12% per annum. At the end of the first year he withdrew sh 5600 from his account and left the balance in the account for another year. How much money was in his account at the end of the second year? A. Sh 33600 B. Sh 37632 C. Sh 28000 D. Sh 31360
  7m 6s

• 9.    What is 3(x+2y+8)+2(x+3y- 8)+5(x+2y-1) in its simplest form? A. 10x+13y+3 B. 10x+3y+3 C. 10x-3y+3 D. 10x+22y+3
  4m 59s

• 10.    In the figure alongside, ABCD is a rectangle in which BC=15cm and CD=20cm. BCN and CDM are right angled triangles. M and N are points on AD and AB such that AM=8cm and AN=14cm. What is the area of the shaded part in square centimetres? A. 185 B. 115
  8m 36s

• 11.    The average height of a group of 16 pupils was 125cm. When another 4 pupils joined the group, the new average height is 124cm. What was the average height of the 4 new pupils? A. 155cm B. 124.5cm C. 120cm D. 130cm
  6m 21s

• 12.    A cylindrical tank whose diameter is 1.4m and height 1m is #frac{3}{5}# full of water. How many litres of water are there in the tank? A. 616 B. 924 C. 1540 D. 1232
  4m 18s

• 13.    In a certain district there were two million five hundred and sixteen thousand four hundred and nine women, one million seven hundred and forty eighty thousand and eighty five men and three million one hundred and one thousand three hundred and two children. How many people were there in the district altogether? A. 7365796 B. 5365796 C. 7355796 D. 736576
  4m 9s

• 14.    The marked price of a car is sh 600000. A dealer bought the car at a 20% discount and later sold it at its marked price. What percentage profit did he make? A. 25% B. 20% C. 30% D. 35%
  5m 16s

• 15.    What is the value of #frac{1}{2}# of (4#frac{7}{10}#-1#frac{1}{2}#)#div# #frac{4}{5}#+1#frac{1}{3}##times# 1#frac{1}{2}# ? A. #frac{4}{7}# B. #1frac{3}{4}# C. 4 D. 3
  6m 1s

• 16.    The diagonal of a rectangle is 15cm long. If the length of the rectangle is 12cm, what is the perimeter of the rectangle in centimetres. A. 54 B. 48 C. 46 D. 42
  4m 50s

• 17.    In the figure alongside line AB is parallel to line CD. PQR is a triangle in which PQ=PR and angle PQC=#110^(0)#. QPT and RPS are straight lines. What is the size of angle RPT? A.# 140^(0)# B. #70^(0)# C. #110^(0)# D. #125^(0)#
  4m 57s

• 18.    The marked price of a refrigerator is sh 20000. On cash payment a 10% discount is given. On hire purchase a customer pays a deposit of sh 7600 and 8 equal monthly installments of sh 2250. Karimi bought the refrigerator cash while Asego bought it by hire purchase. Who paid more money and by how much? A. Asego by sh 5600 B. Karimi by sh 5600 C. Asego by sh 7600 D. Karimi by sh 7600
  6m 44s

• 19.    A businesswoman bought two bag 90kg bags of maize at sh 1350 per bag. She sold all the maize in 2kg tins at sh 45 per tin. How much profit did she make? A. Sh 675 B. Sh 1800 C. Sh 1350 D. Sh 900
  5m 47s

• 20.    What is the value of #frac{0.42 times1.84}{0.46 times0.14}# A. 120 B. 12 C. 1.2 D. 0.12
  2m 44s

• 21.    What is the place value of digit 7 obtained after working out the division 3.4175#div# 0.25 A. Tenths B. Hundredths C. Ones D. Thousands
  2m 50s

• 22.    What is the value of 5.145- 7.843+4.6247 rounded off to 3 decimal places? A. 1.93 B. 1.926 C. 1.9267 D. 1.927
  3m 46s

• 23.    Wanjiku bought 400 litres of milk at sh 16 per litre. She also spent sh 2600 to pay her workers and transport the milk to her kiosk. She packed the milk in 5 decilitre packets and sold each packet at sh 18. What percentage profit did she make? A. 25% B. 60% C. 54% D. 125%
  7m 35s

• 24.    Mercy is now five times as old as her son. In six years’ time she will be three times as old as her son. If her son is x years old now, which one of the following equations represents their ages in six years time? A. 5x+6=3x-18 B. 5x+6=3x+16 C. 5x+6=3x+18 D. 5x+6=3x+12
  4m 26s

• 25.    A salesman earns a basic salary of sh 7500 per month. He earns no commission on the first sh 30000 worth of goods he sells each month. He paid a commission of 5% on all sales above sh 30000. In a certain month he earned a total income of sh 14250. What was his total sales for that month? A. Sh 135000 B. Sh 285000 C. Sh 165000 D. Sh 315000
  9m 57s

• 26.    Eighteen masons can build a wall in 45 days. How many days would 15 masons take to build the wall? A. 9 B. #7frac{1}{1}# C. 25 D. 54
  2m 17s

• 27.    When a pie chart is drawn to an angle of #140^(0)# represents the number of goats, #120^(0)# represents the number of sheep, #60^(0)# represents the number of cows and the rest represents the number of pigs. If there are 36 pigs, what is the total number of animals? A. 356 B. 324 C. 234 D. 288
  4m 12s

• 28.    A rectangular shamba measures 60 m long by 40m wide. The shamba was planted with tea bushes so that the distance from one tea bush to the next is 2m. How many tea bushes were planted to fill the shamba? A. 651 B. 600 C. 640 D. 620
  6m 27s

• 29.    What is the value of x in the equation #frac{3}{2}#(x+5)-x=9? A. 4 B. 2 C. 3 D. 5
  6m 10s

• 30.    Nyaboke used a chain 15 metres long 24 times to cover the length of a shamba. Onsembe used a chain of different length 20 times to cover the same length and 16 times to cover the breadth of the shamba. What is the size of the shamba to the nearest one hundredth of a hectare? A. 11.66 B. 11.02 C. 10.37 D. 10.3
  9m 26s

• 31.    The figure alongside shows a parallelogram ABCD combined with a right angled triangle BCE so that ABE is a straight line and AE=29cm. side AD =15cm and DC=20cm. What is the area of quadrilateral AECD? A. #240cm^(2)# B. #294cm^(2)# C. #348cm^(2)# D.# 402cm^(2)#
  6m 25s

• 32.    Initially a tank contained 55 litres of water. Water started to flow into the tank at the rate of 0.8 litres per second and to leak out at the rate of 0.25 litres per second at the same time. How many litres of water will be in the tank after 5 minutes? A. 165 B. 220 C. 240 D. 210
  5m 27s

• 33.    Odeny sold a car to Mware at a profit of 10%. Mware later sold the car to a customer at a profit of 15%. If the customer paid sh. 404 800,how much more did Mware get than Odeny from the sale of the car? A. Sh 52800 B. Sh 20240 C. Sh 32000 D. Sh 20800
  9m 1s

• 34.    A bus company dispatches its buses from Nairobi to various destinations at intervals of 3, 4, 6 and 8 hours respectively. The company dispatched its buses together on Monday at 9.30am. when did the company dispatch its buses together? A. Monday 2130h B. Tuesday 0930h C. Tuesday 2130h D. Wednesday 0930h
  5m 47s

• 35.    On a day when#frac{ 1}{6}#of pupils in a class were absent, #frac{3}{5}# pupils were present. How many pupils were present when of the pupils in the class were absent? A. 42 B. 28 C. 35 D. 36
  5m 16s

• 36.    The distance between towns S and T is 150km. Kamau drove from town S starting at 9.30 am and reached town T at 11.00 am. He completed his business in town T at 12.50 pm and started driving back to town S reaching there at 2.30 pm. What was Kamau’s average speed for the whole journey? A. 90km/h B. 100km/h C. 60km/h D. 50km/h
  5m 39s

• 37.    The table below shows the number of crates of soda sold by a distributor in one week. A pie chart was drawn representing the sales for that week. What angle represented the highest number of crates sold in any 2 consecutive days? A. #144^(0)# B. #75^(0)# C. #189^(0)# D. #195^(0)#
  5m 2s

• 38.    What is the difference between the mean and the sum of the mode and median of the following numbers. 23, 27, 28, 22, 31, 20, 23,25, 40, 33, 36? A. 32 B. 22 C. 21 D. 24
  5m 57s

• 39.    If Waithera sold a skirt for sh 600 she would make a profit, but if she sold it for sh 450 she would make a loss. If the profit is two times the loss, what is the cost price of the skirt? A. Sh 480 B. Sh 600 C. Sh 500 D. Sh 400
  6m 42s

• 40.    A closed cylindrical tin has a total surface area of #924cm^(2)#. It’s height is twice its radius. What is the capacity of the tin to the nearest one hundredth of a litre? (#Take pi# #frac{22}{7}#) A. 2.156 B. 2.15 C. 2.2 D. 2.16
  8m 48s

• 41.    Jedidah had 10 litres 3 decilitre of fruit juice for her birthday party. Each guest in the party drank 2.5 decilitres of fruit juice. If there were 30 guests, how much juice remained? A. 7 litres 5 decilitres B. 6 litres 5 decilitres C. 3 litres 8 delicilitres D. 2 litres 8 decilitres
  4m 10s

• 42.    The price of a ball decreased from sh 500 to sh 400. What was the percentage decrease in the price of the ball? A. 25% B. 20% C. 125% D. 80%
  2m 10s

• 43.    Last year the marked price of a water pump was sh 30000. This year the marked price of the pump has increased by 15%. A customer paid sh 30360 for the pump after he was allowed a certain discount on the new marked price of the pump. What was the percentage discount allowed? A. 12% B. 13.8% C. 10% D. 15%
  5m 33s

• 44.    The table below shows railway fares from Nairobi to Mombasa A group comprising of 45 pupils travelled from Nairobi to Mombasa to visit historical sites. Each pupil chose the class he or she wanted to travel in and had to pay for his or her fare. Eight pupils chose first class, fifteen chose second class and the rest chose to travel third class. How much money altogether was collected from the
  8m 20s

• 45.    The stack shown in the figure below is made of one centimetre cubes glued together as shown How many more cubes are required to complete the stack? A. 168 B. 252 C. 84 D. 42
  7m 14s

• 46.    The distance between two towns is 125km. This distance is represented by a line which is 2.5cm long on a certain map. What is the scale of the map? A. 1:50 B. 1:5000 C. 1:5 000 000 D. 1:500 000
  3m 58s

• 47.    A lorry carried 300 cartons of cooking fat. Each carton contains 150 sachets and each sachet has a mass of 100grams. An empty carton has a mass of 800 grams. How many tonnes was the lorry carrying? A. 4.5 B. 4.74 C. 4.24 D. 4.84
  6m 33s

• 48.    A bus conductor spent sh 1500 on diesel, sh 400 on repairs and sh 150 on lunch. He remained with sh 6950 from the amount he had collected from his passangers. The bus carried 60 passangers and each passenger paid the same amount as fare for the journey. How much fare did each passenger pay? A. Sh 150 B. Sh 115.80 C. Sh 140.80 D. Sh 125
  5m 28s

• 49.    Study the following pattern. Which one of the following figures below is next in the above pattern?
  2m 3s