Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 13 · 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.What is the value of 9³? =
2. 2.If a − b = 3 and ab = 70, what is a² + b²?
3. 3.A trapezium has parallel sides of 16 cm and 8 cm, and the distance between them is 16 cm. What is its area (in square cm)?
4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
5. 5.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
6. 6.Which of these is a perfect cube? (a) 2026 (b) 2064 (c) 1728
7. 7.Use (a + b)(a − b) = a² − b² to find 86 × 74.
8. 8.What is the value of 10⁴? =
9. 9.What is the value of 2¹⁰? =
10. 10.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
11. 11.Write 6.8 × 10⁻⁴ as a decimal. =
12. 12.How many whole numbers lie between 12² and 13²?
13. 13.Find the compound interest on ₹40000 at 15% per year for 3 years, compounded every year (in ₹).
14. 14.The sum of four consecutive whole numbers is 74. What is the smallest of them?
15. 15.How many whole numbers lie between 47² and 48²?
16. 16.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.The sum of two consecutive whole numbers is 101. What is the smallest of them?
18. 18.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
19. 19.Use (a − b)² = a² − 2ab + b² to find 17².
20. 20.Use (a + b)² = a² + 2ab + b² to find 38².
21. 21.A trapezium has an area of 190 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
22. 22.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
23. 23.Find the value of x² − y² when x = 7 and y = 6.
24. 24.What is the value of 8⁵? =
25. 25.Use (a + b)(a − b) = a² − b² to find 43 × 37.
26. 26.What is the value of (3/4)⁻¹? =
27. 27.1.4 × 10⁶ =
28. 28.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
29. 29.What is the value of 5³ × 5⁻¹? =
30. 30.Which of these is a perfect cube? (a) 2530 (b) 2495 (c) 2197
31. 31.Write 9⁵ ÷ 9³ as a single power 9ⁿ. What is n?
32. 32.A town has 4000 people. The population grows by 10% every year. What will the population be after 3 years?
33. 33.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
34. 34.What is the value of 2² × 2⁻¹? =
35. 35.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.What is the value of (4/9)⁻²? =
37. 37.Use (a + b)² = a² + 2ab + b² to find 11².
38. 38.What is √784? =
39. 39.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
40. 40.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?

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