Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 188 · 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.Solve: 4y + 9 = y + 48. What is y?
2. 2.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
3. 3.What is √2304? =
4. 4.Use (a − b)² = a² − 2ab + b² to find 73².
5. 5.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
6. 6.Which of these is a perfect square? (a) 166 (b) 146 (c) 144
7. 7.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
8. 8.A cuboid is 7 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
9. 9.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
10. 10.A trapezium has an area of 185 square cm. Its parallel sides are 19 cm and 18 cm. What is the distance between them (in cm)?
11. 11.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
12. 12.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
13. 13.What is the difference between the compound interest and the simple interest on ₹53400 at 20% per year for 2 years (in ₹)?
14. 14.Solve: 4x + 19 = x + 34. What is x?
15. 15.What is ∛2744? =
16. 16.Write 9⁵ × 9⁹ as a single power 9ⁿ. What is n?
17. 17.Write 2.8 × 10⁻³ as a decimal. =
18. 18.What is ∛8? =
19. 19.Write 9⁹ × 9⁶ as a single power 9ⁿ. What is n?
20. 20.A town has 12500 people. The population grows by 12% every year. What will the population be after 2 years?
21. 21.Solve: 3n + 18 = 2n + 33. What is n?
22. 22.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
23. 23.Use (a + b)² = a² + 2ab + b² to find 16².
24. 24.Write 1.7 × 10⁻³ as a decimal. =
25. 25.A cuboid is 3 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
26. 26.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
27. 27.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
28. 28.What is 18³? =
29. 29.A scooter is worth ₹13900. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
30. 30.Use a² − b² = (a + b)(a − b) to find 29² − 20².
31. 31.What is 94²? =
32. 32.Use (a + b)(a − b) = a² − b² to find 29 × 11.
33. 33.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?
34. 34.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
35. 35.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
36. 36.What is the difference between the compound interest and the simple interest on ₹34400 at 25% per year for 2 years (in ₹)?
37. 37.What is the value of 10¹ × 10⁻³? =
38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
39. 39.What amount will ₹29500 grow to in 3 years at 20% per year compound interest (in ₹)?
40. 40.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?

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