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§° āĻ¸ā§āĻĨāĻžāύāĻŽā§‚āĻ˛ā§āϝ āϞāĻŋāĻ–āĻž)


Ans / āωāĻ¤ā§āϤ⧰: 6000


2. Write the Roman numeral for 59. (59 ā§° ā§°ā§‹āĻŽāĻžāύ āϏāĻ‚āĻ–ā§āϝāĻž āϞāĻŋāĻ–āĻž)
Ans / āωāĻ¤ā§āϤ⧰: LIX


3. Convert 2.5 km to meters. (2.5 āĻ•āĻŋāϞ⧋āĻŽāĻŋāϟāĻžā§°āĻ• āĻŽāĻŋāϟāĻžā§°āϤ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āϕ⧰āĻž)
Ans / āωāĻ¤ā§āϤ⧰: 2500 m


4. Simplify: 325 + 178. (āϏāĻšāϜ āϕ⧰āĻž: 325 + 178)
Ans / āωāĻ¤ā§āϤ⧰: 503


5. Find HCF of 12 and 18. (12 āφ⧰⧁ 18 ā§° āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāĻ• āωāϞāĻŋāϝāĻŧāĻžāĻ“āĻ•)
Ans / āωāĻ¤ā§āϤ⧰: 6


6. Convert 4500 g to kg. (4500 āĻ—ā§ā§°āĻžāĻŽāĻ• āϕ⧇āϜāĻŋāϤ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āϕ⧰āĻž)
Ans / āωāĻ¤ā§āϤ⧰: 4.5 kg


7. Multiply: 34 × 20. (āϗ⧁āĻŖ āϕ⧰āĻž: 34 × 20)
Ans / āωāĻ¤ā§āϤ⧰: 680


8. Divide: 96 ÷ 12. (āĻ­āĻžāĻ— āϕ⧰āĻž: 96 ÷ 12)
Ans / āωāĻ¤ā§āϤ⧰: 8


9. Write the fraction of shaded part if 2 out of 5 parts are shaded. (5 āϟāĻž āĻ…āĻ‚āĻļā§° āĻ­āĻŋāϤ⧰āϤ 2 āϟāĻž ā§°āϙ⧀āύ āϕ⧰āĻž āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āϞāĻŋāĻ–āĻž)
Ans / āωāĻ¤ā§āϤ⧰: 2/5


10. Convert ½ to decimal. (½ āĻ• āĻĻāĻļāĻŽāĻŋāĻ•āϞ⧈ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āϕ⧰āĻž)
Ans / āωāĻ¤ā§āϤ⧰: 0.5


Section B – Short Answers (8 × 3 = 24 marks)


11. Add: 3548 + 4675. (āϝ⧋āĻ— āϕ⧰āĻž: 3548 + 4675)
Ans / āωāĻ¤ā§āϤ⧰: 8223


12. Subtract: 8000 − 5789. (āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻž: 8000 − 5789)
Ans / āωāĻ¤ā§āϤ⧰: 2211


13. Multiply: 248 × 7. (āϗ⧁āĻŖ āϕ⧰āĻž: 248 × 7)
Ans / āωāĻ¤ā§āϤ⧰: 1736


14. Divide: 575 ÷ 25. (āĻ­āĻžāĻ— āϕ⧰āĻž: 575 ÷ 25)
Ans / āωāĻ¤ā§āϤ⧰: 23


15. Convert 3.75 L to mL. (3.75 āϞāĻŋāϟāĻžā§°āĻ• āĻŽāĻŋāϞāĻŋāϞāĻŋāϟāĻžā§°āϤ āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āϕ⧰āĻž)
Ans / āωāĻ¤ā§āϤ⧰: 3750 mL (3750 āĻŽāĻŋāϞāĻŋāϞāĻŋāϟāĻžā§°)


16. Draw and measure an angle of 45°. (45° āϕ⧋āĻŖ āφāρāĻ•āĻŋ āĻŽāĻžāĻĒ āĻ˛ā§‹ā§ąāĻž)
Ans / āωāĻ¤ā§āϤ⧰: 45° angle (45° āϕ⧋āĻŖ)


17. Find the area of a rectangle: l = 9 cm, b = 6 cm. (āĻĻā§ˆā§°ā§āĻ˜ā§āϝ 9 āϛ⧇āĻŽāĻŋ āφ⧰⧁ āĻĒā§ā§°āĻ¸ā§āĻĨ 6 āϛ⧇āĻŽāĻŋ āĻĨāĻ•āĻž āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§ā§°ā§° āĻ•ā§āώ⧇āĻ¤ā§ā§°āĻĢāϞ āĻ•āĻŋāĻŽāĻžāύ?)
Ans / āωāĻ¤ā§āϤ⧰: 54 cm² (54 āĻŦā§°ā§āĻ— āϛ⧇āĻŽāĻŋ)


18. A car travels 48 km in 1 hour. How much distance in 5 hours ? (āĻāĻ–āύ āĻ—āĻžāĻĄāĻŧā§€āϝāĻŧ⧇ 1 āϘāĻŖā§āϟāĻžāϤ 48 āĻ•āĻŋāĻŽāĻŋ āϝāĻžāϝāĻŧāĨ¤ 5 āϘāĻŖā§āϟāĻžāϤ āĻ•āĻŋāĻŽāĻžāύ āϝāĻžāĻŦ ?)
Ans / āωāĻ¤ā§āϤ⧰: 240 km (240 āĻ•āĻŋāϞ⧋āĻŽāĻŋāϟāĻžā§°)


Section C – Long Answers (3 × 7 = 21 marks)


19. Solve using distributive property: 35 × 17.
(āĻŦāĻŋāϤ⧰āĻŖ āϏ⧂āĻ¤ā§ā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϕ⧰āĻŋ āϏāĻŽāĻžāϧāĻžāύ āϕ⧰āĻž)
Ans / āωāĻ¤ā§āϤ⧰: 595


20. A shopkeeper had 1250 notebooks. He sold 485. Later he bought 360 more. How many notebooks does he have now? (āĻāϜāύ āĻĻā§‹āĻ•āĻžāύ⧀āϝāĻŧ⧇ 1250 āϟāĻž āύ⧋āϟāĻŦ⧁āĻ• āφāĻ›āĻŋāϞāĨ¤ 485 āϟāĻž āĻŦāĻŋāĻ•ā§ā§°ā§€ āϕ⧰āĻŋāϞ⧇āĨ¤ āĻĒāĻžāĻ›āϤ 360 āϟāĻž āφ⧰⧁ āĻ•āĻŋāύāĻŋāϞ⧇āĨ¤ āĻāϤāĻŋāϝāĻŧāĻž āĻ•āĻŋāĻŽāĻžāύ āφāϛ⧇ ?)


Ans / āωāĻ¤ā§āϤ⧰: 1125 notebooks (1125 āϟāĻž āύ⧋āϟāĻŦ⧁āĻ•)


21. Convert: (āĻĒā§°āĻŋā§ąā§°ā§āϤāύ āϕ⧰āĻž)


a) 5 kg 750 g to grams (5 āϕ⧇āϜāĻŋ 750 āĻ—ā§ā§°āĻžāĻŽāĻ• āĻ—ā§ā§°āĻžāĻŽāϤ)
Ans / āωāĻ¤ā§āϤ⧰: 5750 g


b) 4.25 m into cm (4.25 āĻŽāĻŋāϟāĻžā§°āĻ• āϛ⧇āĻŽāĻŋāϤ)
Ans / āωāĻ¤ā§āϤ⧰: 425 cm


Section C: Calculation & Word Problems (15 marks)


11. Solve: 345 × 12


Soln:
   345 × 12
= 345 × (10 + 2)
= 3450 + 690
= 4140


Ans / āωāĻ¤ā§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  āĻ–ā§°āϚ
= 12.50 + 3.75
= 16.25


Ans / āωāĻ¤ā§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§°āϤāĻŋāĻŸā§‹ āϟ⧁āϕ⧁⧰āĻžā§° āĻĻā§ˆā§°ā§āĻ˜ā§āϝ
= 240 ÷ 6
= 40 cm āϛ⧇āĻŽāĻŋ


Ans / āωāĻ¤ā§āϤ⧰: 40 cm (40 āϛ⧇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° āϤāĻ•ā§ˆ āϏ⧰⧁ āϕ⧋āĻŖāĨ¤ (āωāĻĻāĻžāĻšā§°āĻŖ: 45° āϕ⧋āĻŖ)