Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 191 · 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.Find the compound interest on ₹9000 at 10% per year for 3 years, compounded every year (in ₹).
2. 2.What is the value of 10⁵ × 10⁻⁴? =
3. 3.Use a² − b² = (a + b)(a − b) to find 20² − 3².
4. 4.If a − b = 2 and ab = 3, what is a² + b²?
5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
6. 6.Use (a + b)(a − b) = a² − b² to find 26 × 14.
7. 7.Use (a + b)(a − b) = a² − b² to find 33 × 27.
8. 8.Find the compound interest on ₹41800 at 20% per year for 1 year, compounded every year (in ₹).
9. 9.What amount will ₹45100 grow to in 2 years at 20% per year compound interest (in ₹)?
10. 10.What is the value of 7⁻² (as a fraction)? =
11. 11.The sum of three consecutive whole numbers is 75. What is the smallest of them?
12. 12.Write 8.9 × 10⁻⁴ as a decimal. =
13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
14. 14.Write 3,600 in standard form as 3.6 × 10ⁿ. What is n?
15. 15.A town has 18100 people. The population grows by 5% every year. What will the population be after 1 year?
16. 16.Write 5,90,000 in standard form as 5.9 × 10ⁿ. What is n?
17. 17.A trapezium has parallel sides of 18 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
18. 18.Which of these is a perfect cube? (a) 77 (b) 109 (c) 64
19. 19.What is √8464? =
20. 20.What is 18³? =
21. 21.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
22. 22.Use (a + b)² = a² + 2ab + b² to find 87².
23. 23.Find the compound interest on ₹47500 at 8% per year for 2 years, compounded every year (in ₹).
24. 24.How many whole numbers lie between 11² and 12²?
25. 25.How many whole numbers lie between 35² and 36²?
26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
27. 27.The diagonals of a rhombus are 20 cm and 29 cm. What is its area (in square cm)?
28. 28.What is √400? =
29. 29.A square garden has an area of 1156 square m. How long is each side (in m)?
30. 30.Solve: x/2 + x/5 = 49. What is x?
31. 31.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
32. 32.If a + b = 5 and ab = 4, what is a² + b²?
33. 33.Write (3²)⁸ as a single power 3ⁿ. What is n?
34. 34.Solve: 6(y − 4) = 2y + 52. What is y?
35. 35.Write 2.7 × 10⁻² as a decimal. =
36. 36.A father is 18 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
37. 37.A trapezium has parallel sides of 20 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
38. 38.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
39. 39.What amount will ₹33500 grow to in 3 years at 20% per year compound interest (in ₹)?
40. 40.What is the value of 6⁻³ (as a fraction)? =

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