**2022/2023 KPSEA Knec Examinations per Subject; Mathematics Grade 6 KPSEA 2022 **

**2022 KPSEA Mathematics Grade 6**

**1. There were sixty five thousand and fifty people who attended an agricultural show. What is the number of people in symbols?**

**A. 60550**

**B. 65550**

**C. 60505**

**D. 65050**

**2. At the beginning of the year, there were 1204 learners in a school. By the end of the year, 132 learners left the school. At the beginning of the following year, 214 joined the school.**

**How many learners are there in the school now?**

**A. 1550**

**B. 1286**

**C. 1122**

**D. 858**

**3. A teacher displayed the following number cards to the learners.**

**A learner rounded off each number in the cards to the nearest hundreds. What was the sum of the rounded numbers?**

**A. 76990**

**B. 77000**

**C. 77010**

**D. 77100**

**4. A factory produced 7435 pieces of soap. The workers packed 1263 pieces of the soap. How many pieces of soap were not packed?**

**A. 6172**

**B. 6232**

**C. 6272**

**D. 8698**

**5. A lorry carried 452 cartons of books. Each carton had 24 books. How many books did the lorry carry altogether?**

**A. 11848**

**B. 10848**

**C. 9648**

**D. 2712**

**6. Work out**

**64 ÷ 4 × 2 + 8**

**A. 160**

**B. 40**

**C. 16**

**D. 4**

**7. Musa divided his piece of land as shown.**

**Maize covered 1/3 land was left for grazing?**

**A. 2/3**

**B. 4/9**

**C. 5/9**

**D. 7/9**

**8. Arrange the fractions 2/3,3/4,1/2 from the smallest to the largest. Which one of the following is the correct arrangement?**

**A. 1/2,3/4,2/3**

**B. 2/3,1/2,3/4**

**C. 3/4,1/2,2/3**

**D. 1/2,2/3,3/4**

**9. A trader arranged her green grocery for sale as shown.**

**What portion was covered by cabbages, tomatoes and onions?**

**A. 0.825**

**B. 0.700**

**C. 0.575**

**D. 0.175**

**10. Arrange the following decimals 0.75, 1.25, 0.8, 1.135 from the largest to the smallest. Which one of the following is the correct arrangement?**

**A. 0.75, 0.8, 1.135, 1.25**

**B. 0.75, 1.135, 1.25, 0.8**

**C. 1.135, 1.25, 0.8, 0.75**

**D. 1.25, 1.135, 0.8, 0.75**

**11. The track shown measures 21 m 45 cm.Neema ran on the track three times. What distance did she cover?**

**A. 7 m 15 cm**

**B. 42 m 90 cm**

**C. 64 m 35 cm**

**D. 128 m 70 cm**

**12. A block of wood is 3 metres long. What is the length of the block of wood in centimetres?**

**A. 30**

**B. 300**

**C. 3000**

**D. 30000**

**13. Find the perimeter of the shape shown.**

**A. 20 cm**

**B. 25 cm**

**C. 30 cm**

**D. 35 cm**

**6**

**14. The figure shows a rectangle divided into unit squares.**

**What is the area of the rectangle?**

**A. 35**

**B. 20**

**C. 12**

**D. 5**

**15. Patel had a sh 1000 note. He changed the money into different denominations. Which one of the following represents the correct change?**

**A. sh 500 + sh 200 + sh 100 + sh 50 + sh 50**

**B. sh 200 + sh 200 + sh 200 + sh 200 + sh 100 + sh 50**

**C. sh 500 + sh 200 + sh 100 + sh 100 + sh 50**

**D. sh 500 + sh 200 + sh 200 + sh 100**

**16. A construction worker bought 175 kg of cement, 473 kg of sand and 282 kg of ballast. What is the total mass of the materials bought?**

**A. 930 kg**

**B. 755 kg**

**C. 648 kg**

**D. 457 kg**

**17. What is the next missing number in the pattern?**

**10, 12, 16, 24, 40, ________**

**A. 32**

**B. 42**

**C. 64**

**D. 72**

**18. The beam balance shown was used to measure the mass of unga.What is the mass of unga in kilograms?**

**A. 5**

**B. 2¼**

**C. 2**

**D. 1¼**

**19. A trader bought 260 kg of sugar. He then sold 175 kg of the sugar. Later, the trader bought 195 kg to add to the remainder. How many kilograms of sugar does the trader have now?**

**A. 20**

**B. 85**

**C. 280**

**D. 455**

**20. The figure shows a number on a place value chart.What is the place value of digit 5 in the number?**

**A. Tenths**

**B. Hundredths**

**C. Ones**

**D. Thousandths**

**21. At a construction site, building blocks were arranged to form the stack as shown.**

**How many blocks are in the stack?**

**A. 18**

**B. 24**

**C. 54**

**D. 72**

**22. Jeru visited the grandmother for 13 days. How many weeks and days did Jeru take?**

**A. 1 week 3 days**

**B. 1 week 6 days**

**C. 2 weeks 0 days**

**D. 2 weeks 3 days**

**23. Asha started reading a story book in the morning as shown on the digital clock.**

**She read the storybook for 1½ hours. What time did Asha stop reading the storybook?**

**A. 11.45 a.m**

**B. 11.45 p.m**

**C. 12.45 a.m**

**D. 12.45 p.m**

**24. The two clock faces shows the starting time and finishing time of a football match.**

**How long did the football match take?**

**A. 70 minutes**

**B. 120 minutes**

**C. 130 minutes**

**D. 190 minutes**

**25. Which one of the following lists shows money paid by the public to a county government of Kenya?**

**A. Land fees, school fees, parking fee, cess**

**B. Market fees, cess, business permit, security fee**

**C. Market fees, business permit,cess, parking fee**

**D. Land fees, security fee, business permit, parking fee**

**26. To get to school, Musa walks straight and then turns to the left. What kind of turn does Musa make?**

**A. ¼turn**

**B. ½turn**

**C. ¾turn**

**D. Full turn**

**27. The following is the price list for Furaha shop.**

**ITEM PRICE**

**ITEM PRICE**

**A packet of milk sh.55**

**A loaf of bread sh.50**

**A packet of tea leaves sh.45Masudi bought 2 packets of milk, a loaf of bread and a packet of tea leaves. He gave the shopkeeper a sh 500 note. What was his balance?**

**A. sh 350**

**B. sh 295**

**C. sh 255**

**D. sh 205**

**28. Ann has some bananas. Tom has the same number of bananas as Ann. Tesse has 3 bananas. Represent the number of bananas Ann has as x. Form an expression to show the number of bananas they have altogether.**

**A. x + x + 3**

**B. x + 3**

**C. 3x + 3**

**D. 3x**

**29. The following are properties of some shapes.**

**(i) All angles are equal.**

**(ii) Has 4 lines of symmetry.**

**(iii) All sides are equal.**

**Which shape is represented by the above properties?**

**A. A right angled triangle**

**B. An equilateral triangle**

**C. A square**

**D. A rectangle**

**30. The table represents the number of new COVID-19 cases in various counties on a certain day. The cases for Nairobi county is not shown.**

**County Frequency**

**Nairobi –**

**Nakuru 135**

**Garissa 17**

**Kwale 8**

**Kisii 10**

**The total number of COVID-19 cases on that day was 656. What was the number of cases in Nairobi county on that day?**

**A. 170**

**B. 386**

**C. 486**

**D. 1142**

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