Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 326 · 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.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
2. 2.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
3. 3.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.Solve: 4p + 7 = p + 34. What is p?
5. 5.A scooter is worth ₹30700. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
6. 6.What amount will ₹5500 grow to in 1 year at 25% per year compound interest (in ₹)?
7. 7.What is the value of (2/9)⁻¹? =
8. 8.If a − b = 8 and ab = 48, what is a² + b²?
9. 9.A trapezium has parallel sides of 10 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
10. 10.Use a² − b² = (a + b)(a − b) to find 87² − 9².
11. 11.Write 2.3 × 10⁻² as a decimal. =
12. 12.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
13. 13.What is 53²? =
14. 14.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
15. 15.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
16. 16.A father is 18 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
17. 17.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
18. 18.What is the value of (1/4)⁻²? =
19. 19.Find the compound interest on ₹23500 at 25% per year for 1 year, compounded every year (in ₹).
20. 20.A cuboid is 8 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
21. 21.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
23. 23.What is the value of 10²? =
24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
25. 25.A trapezium has parallel sides of 10 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
26. 26.Write 3.5 × 10⁻³ as a decimal. =
27. 27.A cuboid is 8 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
28. 28.What is the value of (1/9)⁻¹? =
29. 29.What is 18²? =
30. 30.Solve: 4t + 2 = t + 11. What is t?
31. 31.Use (a − b)² = a² − 2ab + b² to find 49².
32. 32.A town has 2800 people. The population grows by 20% every year. What will the population be after 2 years?
33. 33.A scooter is worth ₹18200. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
34. 34.Write 3 × 10⁻³ as a decimal. =
35. 35.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
36. 36.Write 2 × 10⁻⁴ as a decimal. =
37. 37.A trapezium has parallel sides of 20 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
38. 38.Find the compound interest on ₹11000 at 25% per year for 1 year, compounded every year (in ₹).
39. 39.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
40. 40.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

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