KPSEA Math Exam 2023

Time Remaining: 60:00

1. Lorries delivered 84072 bags of maize to a refugee camp. What is the number of bags of maize in words?

Eight thousand four hundred and seventy-two Eighty four thousand seven hundred and two Eighty four thousand and seventy two Eighty four thousand seven hundred and twenty

2. In a hospital, 436587 children were vaccinated against polio in a certain year. What is the total value of digit 6 in the number?

600 6000 60000 600000

3. A tree nursery had 368593 seedlings. Customers bought 27364 tree seedlings in a day. How many tree seedlings remained?

395957 341239 341229 94953

4. A milk processing factory produced 19468 packets of milk. How many packets of milk to the nearest thousands were produced?

20000 19500 19470 19000

5. What is the next number in the pattern? 8, 24, 72, 216, --------------

232 264 360 648

6. Work out 24 ÷ 3 + 9 x 6 – 4

8 26 58 98

7. Musa spent 2/5 of his salary on food. He also spent ¼ of the salary on rent. What is the total fraction of the salary that Musa spent on food and rent.

13/20 9/20 7/20 3/20

8. What is the value of 9 5/6 -1 1/3?

11 1/6 9 1/6 8 2/3 8 ½

9. Wangeci made a necklace using red and green beads. The red beads used were 25% while the rest were green. Which of the following decimals represents the green beads?

7.5 0.75 0.075 0.0075

10. A tailor bought a fabric material. He used 0.263 of the fabric to make a pair of shorts, 0.287 to make a shirt and 0.45 to make a dress. How much of the fabric was used to make both the dress and the shirt?

0.332 0.637 0.713 0.737

11. The height of water in a dam increased by 5 cm after it rained. What is the increase in the height of water in millimeters?

50 500 5000 50000

12. A teacher drew the following shape as shown in Figure A on the board. What is the perimeter of the shape?
Figure A: Shape drawn by teacher

43cm 48cm 50cm 58cm

13. A ribbon is 31 cm 6 mm long. Rehema cut 5 cm 3 mm of the ribbon to make a flower. What length of the ribbon remained?

26 cm 3mm 34 cm 3mm 36 cm 9mm 36cm 3mm

14. A wall of a rabbit hutch in Figure B is in the shape of a rectangle and a triangle as shown. What is the area of the wall?
Figure B: Wall of rabbit hutch

6370 cm2 5590 cm2 4810 cm2 3185 cm2

15. Kimeto drinks 3.7 litres of water every day. How many millilitres of water does he drink?

37 370 3700 37000

16. A road construction company mixed sand and small stones. The mass of sand was 18 tonnes 481 kilograms. The mass of small stones was 12 tonnes 394 kilograms. What is the total mass of the mixture?

30 tonnes 875 kilograms 30 tonnes 775 kilograms 20 tonnes 875 kilograms 6 tonnes 87 kilograms

17. A tea processing factory distributed fertilizer to farmers using 4 lorries. Each lorry carried 24 tonnes 235 kilograms of fertilizer. What was the total mass of the fertilizer distributed?

96 tonnes 940 kilograms 96 tonnes 920 kilograms 96 tonnes 840 kilograms 86 tonnes 940 kilograms

18. A flower company exported 4850000 kilograms of fresh flowers. How many tonnes of fresh flowers did the company export?

485000 48500 4850 485

19. Wambua represented his school in a music festival. He began his performance in the afternoon at the time shown on the clock face in Figure C. At what time did Wambua begin his performance?
Figure C: Clock showing time

2:07 PM 2:35 AM 2:35 PM 3:35 PM

20. Figure D shows a travel time table for a train from Manga station to Pate through Nanga. A tourist travelled from Manga station to Pate using a train. How long did the journey take?
Figure D: Travel time table

5 hours 39 minutes 3 hours 24 minutes 3 hours 14 minutes 2 hours 15 minutes

21. Ndemo assists his father to sell clothes in their shop. He sold a dress for sh. 1675. He made a profit of sh 390 after selling the dress. What was the buying price of the dress?

Sh 2065 Sh 1385 Sh 1325 Sh 1285

22. The area of a rectangular piece of paper is 72 cm². The length of the paper is 9cm. What is the width of the paper in millimeters?

0.8 8 80 800

23. Omondi drew accurately the triangle shown in Figure E Triangle Figure E

. Measure angle LMN using a protractor. What is the size of angle LMN?

100° 80° 60° 40°

24. While picking litter in the school compound, Munya picked a 3-D object as shown under Figure F 3D Object Figure F

. How many edges does the object have?

6 8 9 12

25. A carpenter joined five pieces of timber to make a window frame as shown in Figure G below Window Frame Figure G

. Which of the following pieces of timber are parallel?

R and P M and N N and Q R and Q

26. Grade 6 learners harvested potatoes from their agriculture project. The bar graph under Figure H Bar Graph Figure H

shows the amount of money received from Monday to Friday after selling the tomatoes. How much money did the learners receive on Wednesday?

Sh 2250 Sh 2000 Sh 1750 Sh 1500

27. During a geometry lesson, learners were asked to describe the faces of a cylinder, pyramid, cube, and cuboid. Which of the following descriptions was correct?

A cylinder has a square face A pyramid has a triangular face A cube has a rectangular face A cuboid has a circular face

28. Figure I shows the number of patients who were treated for various diseases in a dispensary. Some information is missing in the table. How many patients were treated altogether?
Figure I: Number of patients treated for various diseases

Figure I: Number of patients treated for various diseases

30 20 29 10

29. Ngei had some oranges. He gave out 4 oranges to his friends. He remained with more than 6 oranges. Use letter P to represent the number of oranges that Ngei originally had. Which of the following inequalities correctly represents this information?

P - 4 < 6 6 - P > 4 P - 4 > 6 P - 6 < 4

30. A self-help group shared some money among 50 women. Each woman in the group got sh 8500. Use letter X to represent the amount of money shared. Which of the following equations correctly represents this information?

50x = 8500 50/x = 8500 X + 50 = 8500 x/50 = 8500

KPSEA Math Exam 2023

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