PLE P.7 Maths paper 1

2026 · Mock

Questions

150

Minutes

Answer ALL questions. Section A carries 40 marks (2 marks each) and Section B carries 60 marks. The marks for each Section B question are shown in brackets. Show all working. Calculators are NOT allowed. Where π is needed, its value is given in the question.

Time Remaining 00:00

Question 1 of 45

1 1. Write four hundred seven thousand, ninety in figures.

Marks: 2 points

2 2. Round 48,672 to the nearest thousand.

Marks: 2 points

3 3. Write 49 in Roman numerals.

Marks: 2 points

4 4. Use the correct sign to fill the gap: ⁻5 ____ ⁻2

< = >

5 5. Find the next number in the sequence: 5, 10, 20, 40, ____

Marks: 2 points

6 6. Find the Lowest Common Multiple (LCM) of 6 and 8.

Marks: 2 points

7 7. Work out: (17 × 25) + (25 × 3)

Marks: 2 points

8 8. Find n(P ∩ Q).

Set P = {1, 2, 3, 4, 6, 12} and Set Q = {2, 4, 6, 8}.

Marks: 2 points

9 9. Convert 3.5 kilograms to grams.

Marks: 2 points

10 10. What is ⅗ of 45 mangoes?

Marks: 2 points

11 11. A shirt costs sh 20,000. Find 15% of sh 20,000.

Marks: 2 points

12 12. If a = ½ and b = 8, find the value of 6a + ab.

Marks: 2 points

13 13. Musa is twice as old as Ali. The sum of their ages is 27 years. How old is Ali?

Marks: 2 points

14 14. 5 exercise books cost sh 3,500. Find the cost of 8 exercise books.

Marks: 2 points

15 15. A fair die is thrown once. Find the probability of getting an even number.

Marks: 2 points

16 16. Find the median of: 12, 7, 9, 15, 11

Marks: 2 points

17 17. Change 2:45 p.m. to the 24-hour clock.

Marks: 2 points

18 18. A figure is divided into 8 equal parts. How many parts must be shaded to show ¾?

Marks: 2 points

19. Study the diagram below and answer the question that follows.

In the triangle below, side BC has been extended to D. The angle at B is 55° and the angle at C (inside the triangle) is 65°.

19 Find the size of the exterior angle marked x (angle ACD).

Marks: 2 points

20 20. A rectangular garden is 15 m long and 9 m wide. Find its perimeter.

Marks: 2 points

21. Answer the questions that follow.

Work out the following.

21 (a) Add: 23₅ + 14₅ (give your answer in base five).

Marks: 3 points

21. Answer the questions that follow.

Work out the following.

22 (b) Write 4,608 in expanded form using powers of ten.

Marks: 2 points

22. Study the information below and answer the questions that follow.

Nakato went to the market and bought:

3 kg of sugar at sh 3,600 per kg
2 loaves of bread at sh 2,500 each
1 litre of cooking oil at sh 7,500

23 (a) Find the total cost of her shopping.

Marks: 3 points

22. Study the information below and answer the questions that follow.

Nakato went to the market and bought:

3 kg of sugar at sh 3,600 per kg
2 loaves of bread at sh 2,500 each
1 litre of cooking oil at sh 7,500

24 (b) She paid with a sh 50,000 note. How much change did she receive?

Marks: 2 points

23. Study the information below and answer the questions that follow.

A trader bought a bicycle at sh 240,000. He later sold it at a profit of 25%.

25 (a) Find the profit he made.

Marks: 2 points

23. Study the information below and answer the questions that follow.

A trader bought a bicycle at sh 240,000. He later sold it at a profit of 25%.

26 (b) Find the price at which he sold the bicycle.

Marks: 2 points

27 24. Three pupils shared a cake. Aisha took ⅖, Bob took ¼, and Cathy took the rest. Who took the largest share? Show your working. (04 marks)

Marks: 4 points

25. Answer the questions that follow.

Consider the inequality 8 − 2x ≥ 2, where x is a whole number.

28 (a) Solve the inequality 8 − 2x ≥ 2.

Marks: 3 points

25. Answer the questions that follow.

Consider the inequality 8 − 2x ≥ 2, where x is a whole number.

29 (b) List all the values of the solution set.

Marks: 2 points

26. Study the information below and answer the questions that follow.

A father is 4 times as old as his son. In 5 years' time, the father will be 3 times as old as his son.

30 (a) Taking the son's present age as x, write an expression for the father's present age.

Marks: 2 points

26. Study the information below and answer the questions that follow.

A father is 4 times as old as his son. In 5 years' time, the father will be 3 times as old as his son.

31 (b) Form an equation and solve for x.

Marks: 2 points

26. Study the information below and answer the questions that follow.

A father is 4 times as old as his son. In 5 years' time, the father will be 3 times as old as his son.

32 (c) How old is the father now?

Marks: 1 points

27. Study the information below and answer the questions that follow.

In a class of 40 pupils, 25 play football (F), 18 play netball (N), and 5 play neither game.

33 (a) Which of the diagrams below correctly represents this information? (2 marks)

Diagram A Diagram B Diagram C Diagram D

27. Study the information below and answer the questions that follow.

In a class of 40 pupils, 25 play football (F), 18 play netball (N), and 5 play neither game.

34 (b) How many pupils play both football and netball?

Marks: 3 points

28. Study the information below and answer the questions that follow.

A motorist left Kampala at 7:00 a.m. and drove 100 km to Masaka, arriving at 9:00 a.m. He rested for 1 hour, then drove 120 km, reaching Mbarara at 12:00 noon.

35 (a) Find his average speed from Kampala to Masaka.

Marks: 3 points

28. Study the information below and answer the questions that follow.

A motorist left Kampala at 7:00 a.m. and drove 100 km to Masaka, arriving at 9:00 a.m. He rested for 1 hour, then drove 120 km, reaching Mbarara at 12:00 noon.

36 (b) Find his average speed for the whole journey.

Marks: 3 points

29. Study the pie chart below and answer the questions that follow.

The pie chart shows how 720 pupils travel to school.

37 (a) What fraction of the pupils walk to school?

Marks: 2 points

29. Study the pie chart below and answer the questions that follow.

The pie chart shows how 720 pupils travel to school.

38 (b) How many pupils use a boda-boda?

Marks: 3 points

30. Study the travel graph below and answer the questions that follow.

The distance-time graph shows a cyclist's journey.

39 (a) How far had the cyclist travelled after 2 hours?

Marks: 2 points

30. Study the travel graph below and answer the questions that follow.

The distance-time graph shows a cyclist's journey.

40 (b) Find the cyclist's speed during the last part of the journey (from 3 to 5 hours).

Marks: 3 points

31. Study the figure below and answer the questions that follow. (Use π = 3.14)

A right-angled triangle RST was cut out of a circular piece of paper. The longest side RT = 20 cm passes through the centre of the circle. The other two sides are RS = 16 cm and ST = 12 cm.

41 (a) Find the area of the circular paper.

Marks: 2 points

31. Study the figure below and answer the questions that follow. (Use π = 3.14)

A right-angled triangle RST was cut out of a circular piece of paper. The longest side RT = 20 cm passes through the centre of the circle. The other two sides are RS = 16 cm and ST = 12 cm.

42 (b) Find the area of the triangle RST.

Marks: 2 points

31. Study the figure below and answer the questions that follow. (Use π = 3.14)

A right-angled triangle RST was cut out of a circular piece of paper. The longest side RT = 20 cm passes through the centre of the circle. The other two sides are RS = 16 cm and ST = 12 cm.

43 (c) Find the area of the paper that remained after cutting out the triangle.

Marks: 2 points

32. Study the diagram below and answer the questions that follow.

The diagram shows two towns A and B. The bearing of B from A is 060°. On the map, AB = 6 cm and the scale is 1 cm represents 50 m.

44 (a) Find the bearing of A from B.

Marks: 2 points

32. Study the diagram below and answer the questions that follow.

The diagram shows two towns A and B. The bearing of B from A is 060°. On the map, AB = 6 cm and the scale is 1 cm represents 50 m.

45 (b) Find the actual distance AB, in metres.

Marks: 3 points

PLE P.7 Maths paper 1