KPSEA Math Exam 2022

2. The number of loaves of bread produced by a factory in a certain year was 3,624,817. What is the place value of digit 6 in the number?

3. A bookshop received 648,205 exercise books from a supplier. A school bought 76,102 of the exercise books. How many books remained in the bookshop?

4. At the beginning of the year, there were 1,204 girls and 816 boys in a school. During the year, 88 more girls joined the school and 12 boys left the school. What was the total number of learners in the school at the end of the year?

5. A lorry carried 1,452 cartons of textbooks. Each carton had 24 textbooks. How many textbooks did the lorry carry altogether?

6. A carpenter made a drawing as shown in Figure 1. The drawing consists of a rectangle and a triangle. What is the area of the drawing?

7. The teacher wrote on the blackboard the following pattern.
30, 32, 36, 44, 60, _.
What is the next number in the pattern?

8. 4K club had 2156 chicks. The chicks were distributed equally among 15 members. How many more chicks will the 4K club add for all the members to get an equal share?

9. Musa drew a rectangle and a square. The rectangle had a length of 24 cm and width of 6 cm. The rectangle had the same area as the square. What was the perimeter of the square?

10. Mugambi and Kioko contributed some money to buy a piece of land. Mugambi contributed 3/8 of the total cost of the land. Kioko contributed 4/5 of the total cost.
What fraction of the cost of land was not contributed?

11. A farmer divided his shamba into four portions. He planted cabbages on 0.25 of the shamba, tomatoes on 0.125, and onions on 0.45. He planted maize on the remaining portion.
What percentage of the shamba was used for planting maize?

12. Ann bought 84.20kg of kales from a grocer. She also bought 45.48kg of kales from another grocer. She later used 15.93kg of kales to prepare lunch.
What mass, in kilograms, of kales did she remain with?

13. A learner drew the following line. In Figure 2, measure the length AB in cm using a ruler. What is the length of the line in millimeters?

14. Linda has 15 cartons. She packed 30 bottles of fruit juice in each carton. Each bottle contained 300ml of juice. What was the total amount, in liters, of the juice packed?

15. A butcher had 1.4 tons of meat in a butchery. He cut the meat into pieces of 500 g each. He sold each piece for sh. 110. How much money did he get from the sale of all the meat?

16. Two farmers delivered wheat to a factory. One farmer delivered 40 tons 800 kilograms of wheat and the other farmer delivered 15 tons 520 kilograms of wheat. How many tons and kilograms of wheat was delivered altogether?

17. An empty truck has a mass of 12 tons. The truck carried 500 bags of maize. Each bag of maize had a mass of 90kg. What was the total mass, in tons, of the loaded truck?

18. A farmer bought a cow for sh. 35 000. He spent sh. 10 500 in taking care of it. He later sold the cow for sh. 65 000. How much profit did he make?

19. The table shown in Figure 3 below shows the travel timetable for a bus company from town P to R. Halima travelled from town P to R using the bus. How long did the journey take?

20. Ali closes his shop daily at thirty-five minutes past six in the evening. What time in a 24-hour clock system does he close the shop?

21. A given number of lorries collected 28 tonnes 685 kilograms of garbage from the market. The garbage was loaded equally onto 5 similar lorries. How many kilograms of garbage did each lorry carry?

22. The price list for a shop is as shown below under Figure 4. Nyaboke bought 3kg sugar, 1 litre of cooking oil, and 4 packets of maize flour from the shop. She gave the shopkeeper 3 five hundred shilling notes. What was the balance?

23. Sandra requires 40m 20cm of barbed wire to fence the garden. She had two pieces of barbed wire measuring 11m 85cm and 8m 90cm. How much more length of barbed wire does Sandra require?

24. A salesperson had 24 litres of milk. She packed the milk in 500ml and 250ml bottles. She packed three quarters of the milk in 500ml bottles and the rest in 250ml bottles. What was the total number of bottles she used?

25. Figure 5 below shows two triangles drawn accurately. Measure the angle SQR using a protractor. What is the size of the angle SQR?

26. Kigen bought goods worth sh. 400. He gave the shopkeeper a sh. 1000 note. He received the balance in equal number of sh. 200 and sh. 100 notes. What was the total number of notes that he received?

27. A bus and a matatu were to transport 128 guests to a wedding ceremony. The bus can carry 24 guests and the matatu 8 guests. Both vehicles made the same number of trips. How many trips did the matatu make?

28. The bar graph shown in Figure 6 below represents the number of trees planted by learners of a school in four years. What is the difference between the highest and the lowest number of trees that were planted in the four years?

29. Charo and Akinyi have some bananas. Charo has 3 times as many bananas as Akinyi. They have 36 bananas altogether. Let the number of bananas that Akinyi has be represented by y. Which of the following equation correctly represents the information given?

30. Mwakio had 18 cubes with the same shape and size. He made a stack using all the cubes. Which of the following represents the correct stack that he made as shown in Figure 7 below?