1. What is 20075803 written in words?

2. In the number 14205, what is the difference between the total values of the digits 4 and 2?

3. What is 4689.99975 rounded off to the nearest thousandths?

4. What is the value of  (16905 – 1500 +  1025 – 1225) + 5?

5. Which one  of the  following expressions  is correct?

6. What is the value of 3/5 + 1/8 – (1/4 )  / 1/2 ?

7. What is the next number in the pattern below? 2, 6, 12, 20, 30,….

8.  What is the square root of the number obtained when 196 is multiplied by 4?

9. What is the value of 2b (a + c) + ac  when a = b – 3 and c = 2?

10. Andona bought 50 pineapples at sh 30 each and paid sh 100 for transport to the market. During transportation 5 pineapples got spoilt. She sold the rest at sh 50 each. What percentage profit  did she make?

11. Interschool Soccer Competition  started  at Working Space 3.15 p.m.  After 45  minutes,  players  went for a 15 minutes break. The game then took 55 minutes to end. At what time in the 24 hour system did the game end?

12. The table below shows the number of people who attended an agricultural show.

Male Adults            Female Adults                Children

 986                        3145                               5807

How many more children than adults attended the show?

13. A kiosk owner bought 10 litres of milk on Monday. On Tuesday and Wednesday, a total of 50 litres were bought. Equal numbers of litres were bought on Thursday and Friday. Altogether 120 litres were bought during the five days. In a Pie chart, what angle would represent the amount of milk bought on Friday?

16. Two pickups were used to collect garbage from a market. Each pickup carried 2 tonnes 300 kg of garbage per trip. Each pickup was to make f i ve trips. After the fourth trip one of the pickups broke down and did not carry the garbage. What was the total mass of garbage collected?

15. A company gives a commission on sales above Ksh 100 000. In a certain month a  salesgirl received a commission of Ksh36000 after selling goods worth Ksh 800000. What was the percentage commission offered?

16. Paint was stored in three containers of 48 litres, 72 litres and 30 litres. The paint in each container was then repacked into smaller containers. The amount of paint in each of the smaller containers was the same. What was the capacity of the  largest container used to repack the paint?

17.Jane gave money to her three children. She gave  1/3 of the total amount to the first child and 2/5 of the remainder to the second child. She was then left  with sh 2 400 which she gave to the third child. How much money did she give out altogether?

18. The mean mass of four pupils was  49.5 kg. When the masses of another pupil and a teacher were included, the mean mass became 53 kg. If the mass of the pupil was 16 kg less than that of the teacher, what was the teacher’s mass?

19. In the year 2008, there were 850 pupils in a school of whom 3/5 were boys. In the year 2009, ten girls joined the school and twenty boys transferred to another school. What was the ratio of boys to girls in the school in the year 2009?

20. A farmer harvested 900 bags of maize. She sold 0.7 of the bags and gave 0.1 of the remainder to a charitable organization. She then kept the rest. How many bags of maize were kept?

21. What is the value of x in 3(x + 4) – 10 = 32?

22. In a right-angled triangle the length of the hypotenuse is 40 cm. Which one of the following pairs are the possible lengths of the two shorter sides? 

23. Mull obtained a total score of 180 marks in English, Mathematics and Science. His score in English was half the score obtained in Mathematics. The score in Mathematics was 10 more than the score obtained in Science. If the score obtained in Science is represented by x, which one of the equations  below can be used to get the value of x?

24. The table below shows inland postal charges for letters.

Weight of letter                      sh           ct

Up to 20g                                25          00

Over 20g up to 50 g                30          00

Over 50 g up to 100g              35          00

Over 100 g up to 250 g           50          00

Over 250 g up to 500 g           85          00

Over 500 g up to 1 kg             135         00

Over 1 kg up to 2 kg               190         00

Wamu posted two letters each weighing 95 g and another one weighing 450 g.

How much money did he pay at the post office?

25. A trader deposited sh 300 000 at a bank that paid compound interest at the rate of 5% p.a. How much money was in her account in the bank, at the end of two years?

26. On a map of scale 1:100 000 a rectangular plot  of land measures 7 cm by 4 cm. What are the actual lengths of the plot in kilometres?

27. The number of tree seedlings planted in a certain  season increased by 20%. If there were 24 000 seedlings planted in that season, how many seedlings were there before the increase?

28. Which quadrilateral has all the properties listed below?

All sides are equal

All angles are right angles Diagonals are equal

Diagonals bisect each other at right angles

29. Kioko bought the following items to donate to a charitable organization:

2 bags of cabbage @ sh 2 500

4 bags ofp otatoes @ sh 2 000

20 kg of cooking oil for sh 2 000 100 kg of sugar @ sh 96

50 loaves of bread @ sh 35

He was given a  10%  discount for all his purchases. How much did he pay for the items?

30. Musa and Kayai left town P for town Q at the same time. Musa drove at an average speed of 80 km/h and reached town Q after 3 hours. Kayai drove at an average speed of 50 km/h for 11 h and then continued with the journey at an average speed of 70 km/h. How many kilometres had Kayai to cover at the time Musa reached town Q?

31. Fifteen painters can paint a number of houses in 12 days. If the number of painters is increased by 5, how many days less would it take the painters working at the same rate to paint the houses?

32. A cylindrical water tank has a diameter of 1.4 m and a height of 3m. What is the volume of the tank in m³ ? (Take π = 22/7)

33.  A baby woke up at 5.30 a.m after sleeping for 7 hours 45 minutes. At what time in a.m./p.m. did the baby sleep?

34.The table below shows the distance in kilometres from Avedi’s Home to School, Health Centre and Market.

 Home

3        School 

4            5        Health Centre

7           6            4        Market

One day Avedi left Home for the Market but   passed through the Health Centre. Later, Avedi left the Market and went Home directly. How many kilometres did Avedi travel that day?

35.  A factory packs water in half litre, one litre, two litre and five litre bottles. On a certain day, the factory packed 20 840 bottles of water. Out of these, 8 120 were half litre bottles and 3 960 were two litre bottles. One litre bottles were 2 000 more than the two litre bottles. The rest were five litre bottles. How many five litre bottles were there?

36. At a school prize giving day the number of men was half that of women. The number of children was three times that of women. The number of  women who attended was 3x. What was the sum of men and children?

37. The cash price of a radio is sh8000. The hire purchase price is 50% more than the cash price. Amina bought a radio  on hire purchase  paying a deposit of sh 2 400 and equal monthly instalments of sh800. In how many months did she pay the instalments? 

38. Mumbi paid sh 1 800 for a chair after 10% discount was allowed. How much would she have paid for the chair had she been allowed a 12% discount?

39,  Safi packed 15 cartons each containing 20 bottles of juice. The amount of juice in each bottle was 500 ml. What was the total amount of the juice, in litres, packed by Safi?

40. Mull obtained a total score of 180 marks in English, Mathematics and Science. His score in English was half the score obtained in Mathematics. The score in Mathematics was 10 more than the score obtained in Science. If the score obtained in Science is represented by x, which one of the equations  below can be used to get the value of x?