1. A company made a profit of 2,473,273.07 shillings.
What is the total profit rounded to the nearest whole number?

2. What is 2734.998 rounded off to two decimal places?

3. How many days are there between 9th September and 25th December?

4. What is the total value of digit 8 in the product of 144 and 2975?

5. What is the value of 7(4² + 2) − 4 × 6 ÷ 3?

6. John bought:

2½ kg sugar @ 160 per kg

50 g tea for 50

2 packets milk @ 60

2 bars soap @ 250

How much did he pay in total?

7. What is the sum of the square of 0.25 and the square of 1.4?

8. State the next number in the pattern:
2, 4.5, 7, 9.5, ___

9. Simplify:
6x + 1/3 (18x − 12y).

Give answer in form ax + by (no spaces)

10. A bus travelled for 2.5 hours at 80 km/h.

Find the distance covered.

11. Evaluate:
1/5 + 3/8

Give your answer as a fraction.

12. Mutua paid 11,500 for a TV after a 20% discount.
If the dealer normally makes 15% profit,
how much profit would he have made if no discount was given?

13. Measure angle XZY from the triangle below.

14. Calculate:
0.124 × 3.84 × 1.1

15. Find the difference between:

LCM of 24, 36 and 108

and

GCD of 72 and 90

16. A cylindrical tank has a diameter of 3.5 m.
It holds water up to height 1.2 m.
How many litres does it hold?
(Take π = ²²⁄₇)

17. Arrange the following fractions in ascending order:

²⁄₅,
³⁄₇,
³⁄₈
and
⁵⁄₉

Write your answer separated by commas.

18. In the table below shows the number of crates of soda sold
in a supermarket in one week:

Draw a bar graph to represent the data.

Calculate the mean number of crates sold.

19. Construct triangle ABC such that
AB = 7.2 cm, BC = 6.0 cm and AC = 6.5 cm.
Measure angle ABC.

20. Solve for x in the equation:

¹⁄₂(2x + 2)
+
¹⁄₄(4x − 2)
= 5

21. A packet of milk is in form of a cuboid.
What is the sum of the number of edges and vertices?

22. The measurements below are the lengths of sides of triangles:

a) 10 cm, 24 cm and 26 cm
b) 0.15 cm, 3.6 cm and 3.9 cm
c) 16 cm, 30 cm and 34 cm
d) 0.7 cm, 2.4 cm and 2.5 cm

Which of the following measurements form a right angled triangle?

Write your answers separated by commas (e.g., a,c).

23. A lorry is loaded with 24 cartons each holding 6 — 2 kg tins of cooking oil,
100 bales of unga each holding 12 — 2 kg packets and 30 cartons each holding
120 — 250 g of spaghetti. What was the total mass of the loaded lorry in tonnes
if its empty mass is 4.5 tonnes?

24. Mugo bought a piece of land for sh. 2 million.
He subdivided the land into 12 plots and sold each plot at sh. 300 000.
What percentage profit did he make?

25. The area of a trapezium is 290 cm².
One of its parallel sides is 24.8 cm and the perpendicular distance
between the parallel sides is 10 cm.
Calculate the length of the other parallel side.

26. A meeting had 600 men. The number of girls was 4 times that of men
and 270 more than that of women. The number of boys was 150 more than that of girls.
What was the total number of people that attended the meeting?

27. A rectangle measuring 32 cm by 60.5 cm has the same area as a square.
What is the perimeter of the square?

28. What is the value of 0.72 + 0.5 + 0.36?

29. A sales person earns a basic salary of sh. 18 500.
He is also paid a commission of 5% on the sale of goods above sh. 80 000.
How much money did he earn in a month that he sold goods worth sh. 530 000?

30. Three boys Tonny, Teddy and Tom got a total of sh. 1650.
Tonny gets sh. 80 more than Teddy while Tom got half of what Tonny and Teddy got.
If Tonny got sh. x, find the value of x.

31. In the year 2021, Tumaini school had 3 200 students of whom 55% were boys.
At the end of the year, the number of girls increased by 25% and that of boys decreased by 10%.
What was the total number of students at the end of the year?

32. The height of an isosceles triangle is 8 cm.
Each of the two equal sides measure 10 cm.
Calculate the perimeter of the triangle.

33. Jane had sh. 15 000. She gave ¹⁄₅ of the money to her son and ¹⁄₃ to the daughter.
She then divided the remainder equally between the son and the daughter.
How much did the daughter receive?

34. The perimeter of a rectangular plot of land is 240 m.
The length of the rectangle is 20 m more than the width.
What is the area of the plot?

35. A cyclist took 45 minutes to travel from his home to the market at a speed of 36 km/h.
He took 1 hour 12 minutes to cycle back.
What was his speed in the return journey?

36. A rectangular water tank has a base measuring 3 m by 1.5 m.
How many 20-litre jerrycans can be used to fill the tank up to 160 cm?

37. A clock gains 30 seconds every hour.
If the watch was right on Saturday 11.30 am,
what day and time will it show after 10 hours?

38. The interior angles of a polygon are x, 2x, 3x, 4x and 5x.
Calculate the value of x.

39. Convert 27°C to Kelvins.

40. Janet earns a total of sh. 15 750 after working for 21 days.
What does she earn if she works for 9 days?

41. The perimeter of the figure below is 1120 metres.

Calculate the area of the figure in hectares.

42. Write in symbols,
two million and thirty five thousand and eight thousandths.

43. A train moving at a speed of 60 km/h leaves Nairobi at 9.15 am.
At what time does it arrive at Mombasa if the distance from Nairobi to Mombasa is 500 km?

44. Wakesho collects 150 eggs daily from her poultry.
She sells the eggs at sh. 9 each.
How much money did she make in the month of February 2020?

45. Mogaka pays sh. 300 for his transport, sh. 400 for his two sons
and sh. 100 for his sister daily.
If the fare went up by 15%, how much will he spend in six days?

46. The number of registered voters in a county was 35 940.
Three candidates, Hekima, Bidii and Tajiri vied for a seat.
Hekima obtained 16 048, Bidii garnered 14 353 votes while Tajiri 3 439 votes.
The number of spoilt votes was twice as many as that of non voters.
If all the spoilt votes were added to those obtained by Tajiri how many votes would he have got?

47. The pie chart below shows how Demu spends his monthly salary
on food, clothing, fees, transport and savings.

If he spends sh. 6000 on clothing, how much more money does he spend on food than on fees?

48. The figure below represents a farm.

What is the area of the farm in square metres?

49. What is the place value of digit 7 in
16.05 ÷ 15?

50. The figure below shows a circle inscribed inside a semicircle.

If O is the centre of the circle and the diameter of the semicircle is 4 m,
calculate the area of the shaded part.
(Take π = 3.14)

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