Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 652 · 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.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
2. 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
3. 3.What is the value of 10⁴ × 10⁻⁴? =
4. 4.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
5. 5.Which of these is a perfect square? (a) 914 (b) 900 (c) 922
6. 6.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
7. 7.Write 2,30,000 in standard form as 2.3 × 10ⁿ. What is n?
8. 8.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
9. 9.Use (a + b)² = a² + 2ab + b² to find 96².
10. 10.If a + b = 12 and ab = 27, what is a² + b²?
11. 11.A square garden has an area of 1849 square m. How long is each side (in m)?
12. 12.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
13. 13.Which of these is a perfect cube? (a) 697 (b) 512 (c) 607
14. 14.Use (a + b)(a − b) = a² − b² to find 49 × 31.
15. 15.Use (a + b)(a − b) = a² − b² to find 28 × 12.
16. 16.Solve: 6(m − 5) = 5m + 2. What is m?
17. 17.What is ∛8? =
18. 18.A square garden has an area of 2916 square m. How long is each side (in m)?
19. 19.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 15 cm. What is its area (in square cm)?
20. 20.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
21. 21.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
22. 22.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
23. 23.What is the value of 3⁸? =
24. 24.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 72².
26. 26.The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
27. 27.What is the value of 2⁻³ (as a fraction)? =
28. 28.What is the value of 3⁷? =
29. 29.What is the value of (3/7)⁻¹? =
30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
31. 31.Write 3.4 × 10⁻² as a decimal. =
32. 32.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
33. 33.A trapezium has an area of 450 square cm. Its parallel sides are 28 cm and 17 cm. What is the distance between them (in cm)?
34. 34.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
35. 35.Find the value of x² + 2xy + y² when x = 11 and y = 5.
36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
37. 37.What is ∛64? =
38. 38.What is 48²? =
39. 39.A trapezium has an area of 234 square cm. Its parallel sides are 11 cm and 28 cm. What is the distance between them (in cm)?
40. 40.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?

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