Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 540 · 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 3⁴ × 3⁻⁴? =
2. 2.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.Find the compound interest on ₹41800 at 4% per year for 1 year, compounded every year (in ₹).
4. 4.Write 7 × 10⁻³ as a decimal. =
5. 5.What is the smallest whole number by which 675 must be divided to get a perfect cube?
6. 6.Which of these is a perfect cube? (a) 1728 (b) 1839 (c) 1763
7. 7.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.Use (a + b)(a − b) = a² − b² to find 78 × 62.
9. 9.Use (a − b)² = a² − 2ab + b² to find 25².
10. 10.What amount will ₹47000 grow to in 3 years at 10% per year compound interest (in ₹)?
11. 11.What is √256? =
12. 12.Write 1.7 × 10⁻¹ as a decimal. =
13. 13.Which of these is a perfect square? (a) 188 (b) 173 (c) 169
14. 14.What is the smallest whole number by which 891 must be multiplied to get a perfect square?
15. 15.3.8 × 10⁶ =
16. 16.What is ∛6859? =
17. 17.How many whole numbers lie between 27² and 28²?
18. 18.Write 2.5 × 10⁻³ as a decimal. =
19. 19.What is ∛64? =
20. 20.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.Use (a − b)² = a² − 2ab + b² to find 32².
22. 22.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.Solve: p/5 + p/2 = 56. What is p?
24. 24.What amount will ₹17600 grow to in 3 years at 25% per year compound interest (in ₹)?
25. 25.Find the compound interest on ₹6400 at 25% per year for 2 years, compounded every year (in ₹).
26. 26.Write 2.4 × 10⁻¹ as a decimal. =
27. 27.A trapezium has parallel sides of 10 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
28. 28.What is the value of 10⁻¹ (as a fraction)? =
29. 29.What amount will ₹38500 grow to in 1 year at 5% per year compound interest (in ₹)?
30. 30.What is the smallest whole number by which 98 must be divided to get a perfect square?
31. 31.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
32. 32.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.What is 6³? =
34. 34.A scooter is worth ₹19500. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
35. 35.What is ∛729? =
36. 36.A trapezium has an area of 34 square cm. Its parallel sides are 22 cm and 12 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 5 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
39. 39.Use (a + b)(a − b) = a² − b² to find 88 × 72.
40. 40.Use a² − b² = (a + b)(a − b) to find 88² − 22².

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