Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 437 · 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: 5m + 4 = 2m + 34. What is m?
2. 2.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
3. 3.What is √144? =
4. 4.Write (7⁴)⁶ as a single power 7ⁿ. What is n?
5. 5.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
6. 6.Write (3⁴)⁹ as a single power 3ⁿ. What is n?
7. 7.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
8. 8.5.2 × 10³ =
9. 9.What is the smallest whole number by which 539 must be divided to get a perfect square?
10. 10.The sum of three consecutive whole numbers is 81. What is the largest of them?
11. 11.What is ∛729? =
12. 12.Use (a + b)² = a² + 2ab + b² to find 63².
13. 13.Use (a + b)² = a² + 2ab + b² to find 85².
14. 14.What is 26²? =
15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
16. 16.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
17. 17.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
18. 18.What is the value of (4/7)⁻¹? =
19. 19.The sum of two consecutive whole numbers is 105. What is the smallest of them?
20. 20.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
21. 21.A cuboid is 10 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
22. 22.What amount will ₹10100 grow to in 1 year at 25% per year compound interest (in ₹)?
23. 23.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
24. 24.Write 68,00,000 in standard form as 6.8 × 10ⁿ. What is n?
25. 25.What amount will ₹4800 grow to in 2 years at 5% per year compound interest (in ₹)?
26. 26.What is the value of 5⁴ × 5⁻¹? =
27. 27.What is ∛8? =
28. 28.Use (a + b)(a − b) = a² − b² to find 42 × 38.
29. 29.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
30. 30.Solve: y/3 + y/2 = 15. What is y?
31. 31.What is ∛12167? =
32. 32.What amount will ₹2600 grow to in 1 year at 15% per year compound interest (in ₹)?
33. 33.A cuboid is 9 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
34. 34.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
35. 35.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
36. 36.Which of these is a perfect cube? (a) 3687 (b) 3375 (c) 3772
37. 37.What amount will ₹46300 grow to in 1 year at 25% per year compound interest (in ₹)?
38. 38.What amount will ₹38100 grow to in 1 year at 8% per year compound interest (in ₹)?
39. 39.Solve: 6n + 10 = 5n + 15. What is n?
40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?

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