Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 340 · 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.Use (a + b)² = a² + 2ab + b² to find 109².
2. 2.The sum of two consecutive whole numbers is 55. What is the smallest of them?
3. 3.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
4. 4.What is the value of 2² × 2⁻⁴? =
5. 5.What is the smallest whole number by which 250 must be divided to get a perfect cube?
6. 6.What is the value of 3² × 3⁻¹? =
7. 7.Find the compound interest on ₹2500 at 20% per year for 3 years, compounded every year (in ₹).
8. 8.A square garden has an area of 676 square m. How long is each side (in m)?
9. 9.Solve: 9p + 18 = 4p + 43. What is p?
10. 10.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
11. 11.Solve: 5y + 18 = 3y + 30. What is y?
12. 12.If a − b = 3 and ab = 4, what is a² + b²?
13. 13.What is the smallest whole number by which 567 must be divided to get a perfect square?
14. 14.What is the value of 7³? =
15. 15.Use (a − b)² = a² − 2ab + b² to find 13².
16. 16.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
17. 17.What is 18³? =
18. 18.Solve: 7m + 5 = 4m + 41. What is m?
19. 19.What amount will ₹15000 grow to in 3 years at 10% per year compound interest (in ₹)?
20. 20.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
21. 21.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
22. 22.Write 52,00,000 in standard form as 5.2 × 10ⁿ. What is n?
23. 23.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: 4m + 1 = 2m + 27. What is m?
25. 25.What is the value of 5⁷? =
26. 26.What is the smallest whole number by which 80 must be divided to get a perfect square?
27. 27.Use (a + b)(a − b) = a² − b² to find 72 × 68.
28. 28.What is the difference between the compound interest and the simple interest on ₹17200 at 25% per year for 2 years (in ₹)?
29. 29.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
30. 30.Find the value of x² − 2xy + y² when x = 9 and y = 6.
31. 31.Use (a + b)(a − b) = a² − b² to find 92 × 88.
32. 32.A scooter is worth ₹13800. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
33. 33.Find the value of x² + 2xy + y² when x = 15 and y = 6.
34. 34.What is ∛15625? =
35. 35.Write 2,20,00,000 in standard form as 2.2 × 10ⁿ. What is n?
36. 36.Solve: p/6 + p/2 = 24. What is p?
37. 37.Which of these is a perfect cube? (a) 1829 (b) 2046 (c) 1728
38. 38.Solve: 3(p − 1) = 2p + 9. What is p?
39. 39.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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