Math Exam Grade 5 : Sample Paper
Section A – Very Short Answers (10 × 2 = 20 marks)
1. Write the place value of 6 in 56,381. (56,381 āϤ 6 ā§° āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ āϞāĻŋāĻāĻž)
Ans / āĻāϤā§āϤ⧰: 6000
2. Write the Roman numeral for 59. (59 ā§° ā§°ā§āĻŽāĻžāύ āϏāĻāĻā§āϝāĻž āϞāĻŋāĻāĻž)
Ans / āĻāϤā§āϤ⧰: LIX
3. Convert 2.5 km to meters. (2.5 āĻāĻŋāϞā§āĻŽāĻŋāĻāĻžā§°āĻ āĻŽāĻŋāĻāĻžā§°āϤ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āĻā§°āĻž)
Ans / āĻāϤā§āϤ⧰: 2500 m
4. Simplify: 325 + 178. (āϏāĻšāĻ āĻā§°āĻž: 325 + 178)
Ans / āĻāϤā§āϤ⧰: 503
5. Find HCF of 12 and 18. (12 āĻā§°ā§ 18 ā§° āϏ⧰ā§āĻŦāĻžāϧāĻŋāĻ āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāĻ āĻāϞāĻŋāϝāĻŧāĻžāĻāĻ)
Ans / āĻāϤā§āϤ⧰: 6
6. Convert 4500 g to kg. (4500 āĻā§ā§°āĻžāĻŽāĻ āĻā§āĻāĻŋāϤ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āĻā§°āĻž)
Ans / āĻāϤā§āϤ⧰: 4.5 kg
7. Multiply: 34 × 20. (āĻā§āĻŖ āĻā§°āĻž: 34 × 20)
Ans / āĻāϤā§āϤ⧰: 680
8. Divide: 96 ÷ 12. (āĻāĻžāĻ āĻā§°āĻž: 96 ÷ 12)
Ans / āĻāϤā§āϤ⧰: 8
9. Write the fraction of shaded part if 2 out of 5 parts are shaded. (5 āĻāĻž āĻ
āĻāĻļā§° āĻāĻŋāϤ⧰āϤ 2 āĻāĻž ā§°āĻā§āύ āĻā§°āĻž āĻĨāĻžāĻāĻŋāϞ⧠āĻāĻā§āύāĻžāĻāĻļ āϞāĻŋāĻāĻž)
Ans / āĻāϤā§āϤ⧰: 2/5
10. Convert ½ to decimal. (½ āĻ āĻĻāĻļāĻŽāĻŋāĻāϞ⧠āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āĻā§°āĻž)
Ans / āĻāϤā§āϤ⧰: 0.5
Section B – Short Answers (8 × 3 = 24 marks)
11. Add: 3548 + 4675. (āϝā§āĻ āĻā§°āĻž: 3548 + 4675)
Ans / āĻāϤā§āϤ⧰: 8223
12. Subtract: 8000 − 5789. (āĻŦāĻŋāϝāĻŧā§āĻ āĻā§°āĻž: 8000 − 5789)
Ans / āĻāϤā§āϤ⧰: 2211
13. Multiply: 248 × 7. (āĻā§āĻŖ āĻā§°āĻž: 248 × 7)
Ans / āĻāϤā§āϤ⧰: 1736
14. Divide: 575 ÷ 25. (āĻāĻžāĻ āĻā§°āĻž: 575 ÷ 25)
Ans / āĻāϤā§āϤ⧰: 23
15. Convert 3.75 L to mL. (3.75 āϞāĻŋāĻāĻžā§°āĻ āĻŽāĻŋāϞāĻŋāϞāĻŋāĻāĻžā§°āϤ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āĻā§°āĻž)
Ans / āĻāϤā§āϤ⧰: 3750 mL (3750 āĻŽāĻŋāϞāĻŋāϞāĻŋāĻāĻžā§°)
16. Draw and measure an angle of 45°. (45° āĻā§āĻŖ āĻāĻāĻāĻŋ āĻŽāĻžāĻĒ āϞā§ā§ąāĻž)
Ans / āĻāϤā§āϤ⧰: 45° angle (45° āĻā§āĻŖ)
17. Find the area of a rectangle: l = 9 cm, b = 6 cm. (āĻĻā§ā§°ā§āĻā§āϝ 9 āĻā§āĻŽāĻŋ āĻā§°ā§ āĻĒā§ā§°āϏā§āĻĨ 6 āĻā§āĻŽāĻŋ āĻĨāĻāĻž āĻāϝāĻŧāϤāĻā§āώā§āϤā§ā§°ā§° āĻā§āώā§āϤā§ā§°āĻĢāϞ āĻāĻŋāĻŽāĻžāύ?)
Ans / āĻāϤā§āϤ⧰: 54 cm² (54 āĻŦā§°ā§āĻ āĻā§āĻŽāĻŋ)
18. A car travels 48 km in 1 hour. How much distance in 5 hours ? (āĻāĻāύ āĻāĻžāĻĄāĻŧā§āϝāĻŧā§ 1 āĻāĻŖā§āĻāĻžāϤ 48 āĻāĻŋāĻŽāĻŋ āϝāĻžāϝāĻŧāĨ¤ 5 āĻāĻŖā§āĻāĻžāϤ āĻāĻŋāĻŽāĻžāύ āϝāĻžāĻŦ ?)
Ans / āĻāϤā§āϤ⧰: 240 km (240 āĻāĻŋāϞā§āĻŽāĻŋāĻāĻžā§°)
Section C – Long Answers (3 × 7 = 21 marks)
19. Solve using distributive property: 35 × 17.
(āĻŦāĻŋāϤ⧰āĻŖ āϏā§āϤā§ā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻā§°āĻŋ āϏāĻŽāĻžāϧāĻžāύ āĻā§°āĻž)
Ans / āĻāϤā§āϤ⧰: 595
20. A shopkeeper had 1250 notebooks. He sold 485. Later he bought 360 more. How many notebooks does he have now? (āĻāĻāύ āĻĻā§āĻāĻžāύā§āϝāĻŧā§ 1250 āĻāĻž āύā§āĻāĻŦā§āĻ āĻāĻāĻŋāϞāĨ¤ 485 āĻāĻž āĻŦāĻŋāĻā§ā§°ā§ āĻā§°āĻŋāϞā§āĨ¤ āĻĒāĻžāĻāϤ 360 āĻāĻž āĻā§°ā§ āĻāĻŋāύāĻŋāϞā§āĨ¤ āĻāϤāĻŋāϝāĻŧāĻž āĻāĻŋāĻŽāĻžāύ āĻāĻā§ ?)
Ans / āĻāϤā§āϤ⧰: 1125 notebooks (1125 āĻāĻž āύā§āĻāĻŦā§āĻ)
21. Convert: (āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āĻā§°āĻž)
a) 5 kg 750 g to grams (5 āĻā§āĻāĻŋ 750 āĻā§ā§°āĻžāĻŽāĻ āĻā§ā§°āĻžāĻŽāϤ)
Ans / āĻāϤā§āϤ⧰: 5750 g
b) 4.25 m into cm (4.25 āĻŽāĻŋāĻāĻžā§°āĻ āĻā§āĻŽāĻŋāϤ)
Ans / āĻāϤā§āϤ⧰: 425 cm
Section C: Calculation & Word Problems (15 marks)
11. Solve: 345 × 12
Soln:
345 × 12
= 345 × (10 + 2)
= 3450 + 690
= 4140
Ans / āĻāϤā§āϤ⧰: 4140
12. Sarah bought a book for $12.50 and a pen for $3.75. How much did she spend in total ?
Soln:
Total money spent, āĻŽā§āĻ āĻā§°āĻ
= 12.50 + 3.75
= 16.25
Ans / āĻāϤā§āϤ⧰: $16.25
13. A ribbon is 240 cm long. It is cut into 6 equal pieces. What is the length of each piece ?
Soln:
Length of each piece, āĻĒā§ā§°āϤāĻŋāĻā§ āĻā§āĻā§ā§°āĻžā§° āĻĻā§ā§°ā§āĻā§āϝ
= 240 ÷ 6
= 40 cm āĻā§āĻŽāĻŋ
Ans / āĻāϤā§āϤ⧰: 40 cm (40 āĻā§āĻŽāĻŋ)
Section D: Geometry & Data (10 marks)
14. Draw an acute angle in the space below.
Ans: An acute angle is an angle less than 90°.(Example: 45° angle). Acute angle āĻŽāĻžāύ⧠90° āϤāĻā§ āϏ⧰⧠āĻā§āĻŖāĨ¤ (āĻāĻĻāĻžāĻšā§°āĻŖ: 45° āĻā§āĻŖ)