KPSEA Math Exam 2024
Time Remaining: 60:00
1. Jackson read the following number on a chalkboard: 76859. What is the number in words?
2. A bakery sold 4297653 loaves of bread in a year. What is the total value of digit 7 in the number?
3. A teacher wrote square root numbers on a chalkboard which formed a pattern as shown: √121 √144 √169 √196. What is the next square root number in the pattern?
4. A lorry stopped on a weighing scale. The reading on the weighing scale was 8501. What is the number rounded off to the nearest thousands?
5. There were 52 classrooms in a school. Each classroom had 36 learners. How many learners were in the school?
6. A shoemaker joined two pieces of leather as shown in Figure I. What is the area of the combined pieces of leather?
7. During a race, the recorded times for three runners were 9.587 seconds, 9.558 seconds, and 9.578 seconds. Arrange the decimal numbers in descending order.
8. A women's group had 1055 goats in a ranch. They shared the goats equally among 24 members. How many goats remained after sharing?
9. A tailor had a piece of cloth measuring 17m 50cm. He cut the cloth into 5 equal pieces to make trousers. What was the length of each piece in centimeters?
10. Ali and Baraza shared a loaf of bread. Ali ate 2/5 while Baraza ate ¼ of the bread. What fraction of the bread remained?
11. Sheila had 0.2kg of tea leaves in the cupboard. She used 0.06kg of the tea leaves to make tea. She calculated the fraction of the tea leaves used as follows:
0.06kg/0.2kg = 0.3
What is the answer as a percentage?
12. A salesman travelled 2/5 of his journey by rail, 1/3 of the journey by matatu and 4/15 of the journey on foot. What fraction of the journey was travelled by rail and by matatu?
13. A jeweller measured the diameter of a wedding ring and found it to be 20 millimeters. What is the diameter of the ring in centimeters?
14. A cuboid of length 30cm, width 15cm and height 40cm is full of a liquid detergent. How many liters of detergent are in the container?
15. A cement factory had 8 tonnes of cement. They packed the cement in 50-kilogram bags. How many bags of cement were packed?
16. Rukia bought a dress for sh 700 from a supermarket. She gave the cashier a sh 1000 note. She received the balance in several notes of sh. 50 each. How many sh 50 notes did she receive as balance?
17. A cooperative society imported 4 tonnes 500 kilograms of fertilizer. It distributed 2 tonnes 900 kilograms to farmers. How many kilograms of fertilizers remained?
18. A group of learners spent sh 6450 to cultivate cabbages. They sold all the cabbages for sh 9380. How much profit did they make?
19. Figure II shows the travels timetable for a bus company from Mombasa to Nairobi. How long does the journey take?
20. John feeds his rabbits at daytime by the time shown on the clock face in Figure III. What is the time in a 24-hour system?
21. Timothy drew some angles. He compared the angles using a right angle cut out. He noted that some angles were greater than a right angle but less than an angle on a straight line. What is the given to such angles?
22. A self help youth group collected the following amount of garbage for recycling.
2 tonnes 200 kilograms of plastic waste
3 tonnes 400 kilograms of scrap metal
4 tonnes 350 kilograms of organic waste
How many tonnes and kilograms of garbage did the group collect altogether?
23. A welder had a metal bar of length 93cm 3mm. He cut 85cm 6mm of the metal bar to make a window frame. What length of the metal bar remained?
24. Loise and her daughter Beatrice fetched a total of 16 jerrycans of water from a river. Loise fetched 4 more jerrycans of water than Beatrice. Let the number of jerrycans that Beatrice fetched be represented by x. Which of the following equations correctly represents the information?
25. Jane picked an empty packet of milk in the school compound during a cleaning exercise. She observed that the packet had 4 faces and was in a shape of a pyramid. How many edges did the packet have?
26. Abdul drew an isosceles triangle. Which of the following statements is a correct property of the triangle he drew?
27. A tourist company carried learners using 2 buses and several vans to a game park. The number of buses and vans were less than 8. Let the number of vans be represented by x. Which of the following inequalities correctly represents the given information?
28. A carpenter joined pieces of wood to make a door as shown in Figure IV. Which of the following pairs of wood are perpendicular?
29. A nurse in a clinic recorded the number of children vaccinated between Monday and Friday of a given week as shown in Figure V. What is the difference between the highest and the lowest number of children vaccinated?
30. A security officer in a school recorded the modes of transport used by learners while arriving at the school in the morning. Figure VI shows the data that was collected. What is the least popular mode of transport used by learners?
