Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 645 · 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.What is 14³? =
2. 2.Find the value of x² − y² when x = 10 and y = 2.
3. 3.Write 3.5 × 10⁻¹ as a decimal. =
4. 4.Use (a + b)² = a² + 2ab + b² to find 79².
5. 5.A trapezium has an area of 189 square cm. Its parallel sides are 10 cm and 11 cm. What is the distance between them (in cm)?
6. 6.Solve: n/6 + n/2 = 4. What is n?
7. 7.What is the value of (1/8)⁻²? =
8. 8.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
10. 10.How many whole numbers lie between 28² and 29²?
11. 11.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
12. 12.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
13. 13.How many whole numbers lie between 19² and 20²?
14. 14.What is 15³? =
15. 15.What is the smallest whole number by which 90 must be divided to get a perfect square?
16. 16.Write (7⁶)⁵ as a single power 7ⁿ. What is n?
17. 17.A room is 6 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.Find the compound interest on ₹37500 at 12% per year for 2 years, compounded every year (in ₹).
19. 19.Write 3¹² ÷ 3⁷ as a single power 3ⁿ. What is n?
20. 20.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
21. 21.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
22. 22.What is √3969? =
23. 23.Use (a + b)² = a² + 2ab + b² to find 25².
24. 24.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
25. 25.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
26. 26.A square garden has an area of 3481 square m. How long is each side (in m)?
27. 27.Which of these is a perfect square? (a) 148 (b) 144 (c) 150
28. 28.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
29. 29.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
30. 30.Solve: y/6 + y/3 = 3. What is y?
31. 31.Which of these is a perfect square? (a) 1296 (b) 1315 (c) 1313
32. 32.A trapezium has an area of 304 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
33. 33.5.4 × 10⁷ =
34. 34.Find the compound interest on ₹57500 at 12% per year for 2 years, compounded every year (in ₹).
35. 35.3.3 × 10² =
36. 36.Solve: p/6 + p/5 = 44. What is p?
37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
38. 38.What is √1089? =
39. 39.What is the value of 10⁴? =
40. 40.Use a² − b² = (a + b)(a − b) to find 99² − 54².

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