Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 511 · 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 = 2 and ab = 48, what is a² + b²?
2. 2.Solve: 6(m − 1) = 4m + 6. What is m?
3. 3.What is 9³? =
4. 4.A cuboid is 13 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
5. 5.The sum of four consecutive whole numbers is 110. What is the largest of them?
6. 6.If a − b = 6 and ab = 7, what is a² + b²?
7. 7.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
8. 8.What is the value of 3⁻² (as a fraction)? =
9. 9.Use a² − b² = (a + b)(a − b) to find 37² − 8².
10. 10.A trapezium has an area of 198 square cm. Its parallel sides are 22 cm and 14 cm. What is the distance between them (in cm)?
11. 11.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
12. 12.Which of these is a perfect cube? (a) 52 (b) 27 (c) 29
13. 13.Use (a + b)² = a² + 2ab + b² to find 109².
14. 14.A scooter is worth ₹35900. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
15. 15.What amount will ₹30200 grow to in 1 year at 20% per year compound interest (in ₹)?
16. 16.A trapezium has an area of 182 square cm. Its parallel sides are 11 cm and 17 cm. What is the distance between them (in cm)?
17. 17.What is the value of 3⁵ × 3⁻⁴? =
18. 18.2.8 × 10⁶ =
19. 19.What is the value of 8⁻² (as a fraction)? =
20. 20.Find the value of x² − y² when x = 10 and y = 1.
21. 21.Which of these is a perfect square? (a) 221 (b) 196 (c) 208
22. 22.Write 6⁴ × 6⁹ as a single power 6ⁿ. What is n?
23. 23.A square garden has an area of 169 square m. How long is each side (in m)?
24. 24.If a − b = 2 and ab = 8, what is a² + b²?
25. 25.Write 7¹¹ ÷ 7⁶ as a single power 7ⁿ. What is n?
26. 26.Solve: 4y + 14 = 2y + 34. What is y?
27. 27.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
28. 28.If a + b = 4 and ab = 3, what is a² + b²?
29. 29.Use (a + b)(a − b) = a² − b² to find 52 × 48.
30. 30.Use a² − b² = (a + b)(a − b) to find 70² − 30².
31. 31.A town has 51900 people. The population grows by 4% every year. What will the population be after 1 year?
32. 32.What is ∛1000? =
33. 33.Use (a + b)² = a² + 2ab + b² to find 16².
34. 34.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
35. 35.What is √8100? =
36. 36.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?
37. 37.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
38. 38.Which of these is a perfect square? (a) 676 (b) 678 (c) 717
39. 39.Use (a + b)(a − b) = a² − b² to find 62 × 58.
40. 40.Use (a + b)(a − b) = a² − b² to find 22 × 18.

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