Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 8 · 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.Solve: 6y + 6 = 3y + 45. What is y?
2. 2.A father is 34 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
3. 3.The sum of four consecutive whole numbers is 134. What is the smallest of them?
4. 4.What is 15³? =
5. 5.Find the value of x² − y² when x = 12 and y = 2.
6. 6.What is the difference between the compound interest and the simple interest on ₹50700 at 10% per year for 2 years (in ₹)?
7. 7.What is ∛9261? =
8. 8.Find the compound interest on ₹32000 at 25% per year for 3 years, compounded every year (in ₹).
9. 9.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
10. 10.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
11. 11.What is the value of 10⁴? =
12. 12.A scooter is worth ₹19000. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
13. 13.What is √5329? =
14. 14.The sum of three consecutive whole numbers is 123. What is the smallest of them?
15. 15.What is the difference between the compound interest and the simple interest on ₹52900 at 20% per year for 2 years (in ₹)?
16. 16.Use (a + b)² = a² + 2ab + b² to find 82².
17. 17.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
18. 18.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
19. 19.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
20. 20.Solve: 4(t − 4) = 2t + 24. What is t?
21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
22. 22.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
23. 23.Use (a + b)² = a² + 2ab + b² to find 19².
24. 24.A trapezium has an area of 132 square cm. Its parallel sides are 18 cm and 15 cm. What is the distance between them (in cm)?
25. 25.A scooter is worth ₹48000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
26. 26.What is the value of 6³? =
27. 27.Solve: 5p + 16 = 4p + 23. What is p?
28. 28.Write 3,00,00,000 in standard form as 3 × 10ⁿ. What is n?
29. 29.The sum of four consecutive whole numbers is 94. What is the smallest of them?
30. 30.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
31. 31.Use (a + b)(a − b) = a² − b² to find 21 × 19.
32. 32.Solve: n/3 + n/5 = 16. What is n?
33. 33.Use a² − b² = (a + b)(a − b) to find 60² − 56².
34. 34.What is 54²? =
35. 35.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
37. 37.Solve: 6m + 12 = 4m + 36. What is m?
38. 38.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
39. 39.Write 6.8 × 10⁻¹ as a decimal. =
40. 40.Solve: 6t + 4 = 2t + 16. What is t?

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