Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 366 · 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.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
2. 2.The sum of four consecutive whole numbers is 102. What is the largest of them?
3. 3.Use (a + b)² = a² + 2ab + b² to find 77².
4. 4.Solve: 6(t − 2) = 5t + 1. What is t?
5. 5.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
6. 6.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
7. 7.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
8. 8.A trapezium has an area of 54 square cm. Its parallel sides are 18 cm and 9 cm. What is the distance between them (in cm)?
9. 9.How many whole numbers lie between 31² and 32²?
10. 10.A trapezium has parallel sides of 29 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
11. 11.Write 4.3 × 10⁻² as a decimal. =
12. 12.A scooter is worth ₹32000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
13. 13.Use a² − b² = (a + b)(a − b) to find 24² − 14².
14. 14.What is ∛9261? =
15. 15.Find the value of x² − y² when x = 8 and y = 2.
16. 16.Write 9¹² ÷ 9⁹ as a single power 9ⁿ. What is n?
17. 17.What amount will ₹52300 grow to in 1 year at 5% per year compound interest (in ₹)?
18. 18.The sum of four consecutive whole numbers is 138. What is the smallest of them?
19. 19.Use (a − b)² = a² − 2ab + b² to find 68².
20. 20.What is ∛64? =
21. 21.A square garden has an area of 324 square m. How long is each side (in m)?
22. 22.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
23. 23.What is the value of 2⁶ × 2⁻⁵? =
24. 24.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 17².
26. 26.What is the smallest whole number by which 48 must be divided to get a perfect square?
27. 27.Solve: 3(m − 3) = 2m + 13. What is m?
28. 28.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
29. 29.Find the compound interest on ₹17300 at 15% per year for 1 year, compounded every year (in ₹).
30. 30.Solve: 5(m − 5) = 2m + 17. What is m?
31. 31.Solve: 6n + 7 = 5n + 22. What is n?
32. 32.Write 3.3 × 10⁻⁴ as a decimal. =
33. 33.A cuboid is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
34. 34.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
35. 35.Use (a + b)(a − b) = a² − b² to find 99 × 81.
36. 36.Which of these is a perfect square? (a) 1241 (b) 1267 (c) 1225
37. 37.Which of these is a perfect square? (a) 961 (b) 990 (c) 964
38. 38.A trapezium has parallel sides of 19 cm and 25 cm, and the distance between them is 9 cm. What is its area (in square cm)?
39. 39.What is 5³? =
40. 40.What is ∛4096? =

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