Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 547 · 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: 3(m − 3) = m + 3. What is m?
2. 2.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
3. 3.Use a² − b² = (a + b)(a − b) to find 64² − 56².
4. 4.A cuboid is 7 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
5. 5.Find the value of x² − y² when x = 3 and y = 2.
6. 6.Write 9⁹ ÷ 9² as a single power 9ⁿ. What is n?
7. 7.What is 9³? =
8. 8.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
9. 9.What is the difference between the compound interest and the simple interest on ₹36400 at 25% per year for 2 years (in ₹)?
10. 10.Which of these is a perfect square? (a) 676 (b) 713 (c) 716
11. 11.Solve: p/4 + p/5 = 9. What is p?
12. 12.The length of a rectangle is 10 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
13. 13.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
15. 15.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
16. 16.Write 2⁶ × 2⁸ as a single power 2ⁿ. What is n?
17. 17.What is √3025? =
18. 18.What is the value of 2⁴ × 2⁻²? =
19. 19.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
20. 20.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
21. 21.How many whole numbers lie between 42² and 43²?
22. 22.Which of these is a perfect square? (a) 1342 (b) 1296 (c) 1361
23. 23.What is the value of 3²? =
24. 24.What is 74²? =
25. 25.A trapezium has an area of 315 square cm. Its parallel sides are 25 cm and 10 cm. What is the distance between them (in cm)?
26. 26.What is 12³? =
27. 27.What is 15³? =
28. 28.Which of these is a perfect square? (a) 400 (b) 425 (c) 433
29. 29.A trapezium has an area of 145 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
30. 30.Find the value of x² + 2xy + y² when x = 8 and y = 6.
31. 31.What amount will ₹24000 grow to in 3 years at 15% per year compound interest (in ₹)?
32. 32.Find the compound interest on ₹26000 at 12% per year for 1 year, compounded every year (in ₹).
33. 33.A trapezium has an area of 494 square cm. Its parallel sides are 28 cm and 24 cm. What is the distance between them (in cm)?
34. 34.If a − b = 5 and ab = 24, what is a² + b²?
35. 35.Solve: n/2 + n/5 = 56. What is n?
36. 36.A trapezium has an area of 288 square cm. Its parallel sides are 6 cm and 26 cm. What is the distance between them (in cm)?
37. 37.The sum of three consecutive whole numbers is 39. What is the largest of them?
38. 38.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.If a − b = 10 and ab = 11, what is a² + b²?
40. 40.What is 13³? =

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