Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 130 · 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 67²? =
2. 2.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
3. 3.Which of these is a perfect square? (a) 499 (b) 484 (c) 504
4. 4.Find the compound interest on ₹40400 at 25% per year for 1 year, compounded every year (in ₹).
5. 5.How many whole numbers lie between 49² and 50²?
6. 6.How many whole numbers lie between 20² and 21²?
7. 7.What is the value of 2⁵ × 2⁻³? =
8. 8.If a − b = 6 and ab = 7, what is a² + b²?
9. 9.The length of a rectangle is 11 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
10. 10.5.9 × 10³ =
11. 11.A square garden has an area of 2500 square m. How long is each side (in m)?
12. 12.Find the compound interest on ₹29400 at 10% per year for 2 years, compounded every year (in ₹).
13. 13.Which of these is a perfect cube? (a) 2085 (b) 1728 (c) 1739
14. 14.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
15. 15.What is √361? =
16. 16.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
17. 17.Use a² − b² = (a + b)(a − b) to find 61² − 44².
18. 18.What is 58²? =
19. 19.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
20. 20.What is the value of 10² × 10⁻⁴? =
21. 21.Find the value of x² − 2xy + y² when x = 10 and y = 3.
22. 22.Use (a − b)² = a² − 2ab + b² to find 57².
23. 23.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.Use (a + b)² = a² + 2ab + b² to find 38².
25. 25.A cuboid is 15 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
26. 26.A cuboid is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
27. 27.A cuboid is 15 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
28. 28.Solve: 5(t − 2) = t + 18. What is t?
29. 29.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
30. 30.A cuboid is 3 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
31. 31.5.6 × 10⁶ =
32. 32.What is √1156? =
33. 33.Use (a − b)² = a² − 2ab + b² to find 35².
34. 34.Write 9.2 × 10⁻¹ as a decimal. =
35. 35.A cuboid is 3 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
36. 36.A trapezium has an area of 169 square cm. Its parallel sides are 16 cm and 10 cm. What is the distance between them (in cm)?
37. 37.Use (a + b)(a − b) = a² − b² to find 69 × 51.
38. 38.Use (a + b)² = a² + 2ab + b² to find 102².
39. 39.Write 2.4 × 10⁻¹ as a decimal. =
40. 40.Find the compound interest on ₹51100 at 10% per year for 1 year, compounded every year (in ₹).

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