Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 808 · 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: 4n + 19 = 2n + 33. What is n?
2. 2.Use (a + b)² = a² + 2ab + b² to find 44².
3. 3.Find the compound interest on ₹30700 at 15% per year for 1 year, compounded every year (in ₹).
4. 4.Which of these is a perfect square? (a) 275 (b) 286 (c) 256
5. 5.Which of these is a perfect square? (a) 900 (b) 928 (c) 957
6. 6.A trapezium has an area of 87 square cm. Its parallel sides are 15 cm and 14 cm. What is the distance between them (in cm)?
7. 7.What amount will ₹47200 grow to in 2 years at 5% per year compound interest (in ₹)?
8. 8.Use (a − b)² = a² − 2ab + b² to find 81².
9. 9.Use a² − b² = (a + b)(a − b) to find 38² − 8².
10. 10.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
11. 11.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
12. 12.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
13. 13.What is the value of 2⁻¹ (as a fraction)? =
14. 14.Solve: 4p + 8 = 2p + 26. What is p?
15. 15.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
16. 16.A cuboid is 12 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
17. 17.What is ∛12167? =
18. 18.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
19. 19.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.A trapezium has an area of 60 square cm. Its parallel sides are 17 cm and 23 cm. What is the distance between them (in cm)?
21. 21.What is the smallest whole number by which 256 must be divided to get a perfect cube?
22. 22.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
23. 23.What is 33²? =
24. 24.A cuboid is 15 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
25. 25.Write 5.4 × 10⁻² as a decimal. =
26. 26.What is the smallest whole number by which 392 must be divided to get a perfect cube?
27. 27.Solve: 4(n − 5) = n + 31. What is n?
28. 28.What is √3249? =
29. 29.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
30. 30.A cuboid is 12 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.What is 28²? =
32. 32.A trapezium has an area of 54 square cm. Its parallel sides are 10 cm and 17 cm. What is the distance between them (in cm)?
33. 33.Solve: 6(t − 1) = t + 4. What is t?
34. 34.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
35. 35.Solve: x/2 + x/6 = 8. What is x?
36. 36.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.The sum of four consecutive whole numbers is 126. What is the largest of them?
38. 38.The length of a rectangle is 13 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
39. 39.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
40. 40.What is the difference between the compound interest and the simple interest on ₹56900 at 10% per year for 2 years (in ₹)?

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