Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 618 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.Which of these is a perfect square? (a) 1663 (b) 1600 (c) 1640
2. 2.A cuboid is 9 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 133 square cm. Its parallel sides are 14 cm and 5 cm. What is the distance between them (in cm)?
4. 4.Use a² − b² = (a + b)(a − b) to find 31² − 26².
5. 5.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
6. 6.Which of these is a perfect square? (a) 1013 (b) 1023 (c) 961
7. 7.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
8. 8.A cuboid is 6 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
9. 9.A scooter is worth ₹15500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
10. 10.Write 9⁴ × 9² as a single power 9ⁿ. What is n?
11. 11.A town has 56200 people. The population grows by 20% every year. What will the population be after 1 year?
12. 12.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
13. 13.Write 8.6 × 10⁻² as a decimal. =
14. 14.Which of these is a perfect square? (a) 536 (b) 529 (c) 545
15. 15.What is 40²? =
16. 16.A square garden has an area of 256 square m. How long is each side (in m)?
17. 17.Write 7 × 10⁻¹ as a decimal. =
18. 18.The sum of three consecutive whole numbers is 144. What is the smallest of them?
19. 19.What is the smallest whole number by which 343 must be divided to get a perfect square?
20. 20.What is the value of 7³? =
21. 21.Solve: 3(y − 1) = y + 5. What is y?
22. 22.Write (7⁶)⁴ as a single power 7ⁿ. What is n?
23. 23.What is the value of 9⁻³ (as a fraction)? =
24. 24.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
25. 25.Use a² − b² = (a + b)(a − b) to find 28² − 2².
26. 26.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
27. 27.A trapezium has parallel sides of 24 cm and 14 cm, and the distance between them is 18 cm. What is its area (in square cm)?
28. 28.What is the value of 4⁸? =
29. 29.A square garden has an area of 144 square m. How long is each side (in m)?
30. 30.What is ∛1331? =
31. 31.Find the compound interest on ₹57800 at 12% per year for 1 year, compounded every year (in ₹).
32. 32.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
33. 33.What is the value of 10¹ × 10⁻⁴? =
34. 34.Use (a − b)² = a² − 2ab + b² to find 48².
35. 35.Which of these is a perfect square? (a) 1442 (b) 1369 (c) 1397
36. 36.Use (a + b)(a − b) = a² − b² to find 37 × 23.
37. 37.What is the value of 10³ × 10⁻¹? =
38. 38.A town has 28000 people. The population grows by 5% every year. What will the population be after 2 years?
39. 39.What is 9³? =
40. 40.If a − b = 3 and ab = 4, what is a² + b²?

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