Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 26 · 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.If a + b = 5 and ab = 6, what is a² + b²?
2. 2.What is the value of 10³ × 10⁻⁵? =
3. 3.Use (a + b)² = a² + 2ab + b² to find 89².
4. 4.What is √1936? =
5. 5.What is the value of 2¹⁵? =
6. 6.Which of these is a perfect square? (a) 1428 (b) 1370 (c) 1369
7. 7.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
8. 8.Which of these is a perfect square? (a) 1645 (b) 1658 (c) 1600
9. 9.What is ∛1000? =
10. 10.What amount will ₹45000 grow to in 2 years at 12% per year compound interest (in ₹)?
11. 11.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
13. 13.Solve: m/3 + m/2 = 5. What is m?
14. 14.What is 14²? =
15. 15.How many whole numbers lie between 23² and 24²?
16. 16.What is 84²? =
17. 17.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
18. 18.What is 40²? =
19. 19.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
20. 20.If a + b = 18 and ab = 72, what is a² + b²?
21. 21.Use (a + b)(a − b) = a² − b² to find 82 × 78.
22. 22.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
23. 23.Write 7.6 × 10⁻⁴ as a decimal. =
24. 24.Solve: y/5 + y/6 = 11. What is y?
25. 25.A square garden has an area of 361 square m. How long is each side (in m)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 49².
27. 27.What is 6³? =
28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
29. 29.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
30. 30.What amount will ₹23200 grow to in 1 year at 8% per year compound interest (in ₹)?
31. 31.A trapezium has an area of 143 square cm. Its parallel sides are 18 cm and 4 cm. What is the distance between them (in cm)?
32. 32.What amount will ₹30800 grow to in 2 years at 10% per year compound interest (in ₹)?
33. 33.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
34. 34.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
35. 35.The sum of four consecutive whole numbers is 166. What is the largest of them?
36. 36.2.4 × 10³ =
37. 37.Which of these is a perfect cube? (a) 1728 (b) 2128 (c) 2016
38. 38.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
39. 39.A trapezium has an area of 74 square cm. Its parallel sides are 13 cm and 24 cm. What is the distance between them (in cm)?
40. 40.Write 6¹⁴ ÷ 6⁶ as a single power 6ⁿ. What is n?

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