Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 206 · 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.What is the difference between the compound interest and the simple interest on ₹51600 at 15% per year for 2 years (in ₹)?
2. 2.A father is 8 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
3. 3.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
4. 4.3.3 × 10² =
5. 5.Use (a + b)² = a² + 2ab + b² to find 61².
6. 6.A trapezium has an area of 75 square cm. Its parallel sides are 20 cm and 5 cm. What is the distance between them (in cm)?
7. 7.The sum of four consecutive whole numbers is 98. What is the smallest of them?
8. 8.Write 4.5 × 10⁻³ as a decimal. =
9. 9.What is the value of 2² × 2⁻¹? =
10. 10.What is √4096? =
11. 11.What is the value of 3¹⁰? =
12. 12.What is the value of 2⁻⁸ (as a fraction)? =
13. 13.A trapezium has an area of 64 square cm. Its parallel sides are 6 cm and 10 cm. What is the distance between them (in cm)?
14. 14.Use (a + b)(a − b) = a² − b² to find 52 × 48.
15. 15.What is the smallest whole number by which 864 must be divided to get a perfect cube?
16. 16.Write 280 in standard form as 2.8 × 10ⁿ. What is n?
17. 17.What is 8³? =
18. 18.What is the difference between the compound interest and the simple interest on ₹36300 at 10% per year for 2 years (in ₹)?
19. 19.Find the compound interest on ₹55000 at 20% per year for 3 years, compounded every year (in ₹).
20. 20.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
21. 21.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
22. 22.How many whole numbers lie between 12² and 13²?
23. 23.The diagonals of a rhombus are 14 cm and 18 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 28 cm and 26 cm. What is its area (in square cm)?
25. 25.How many whole numbers lie between 8² and 9²?
26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
27. 27.A scooter is worth ₹24000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
28. 28.What is the value of 3⁻¹ (as a fraction)? =
29. 29.Find the compound interest on ₹59200 at 25% per year for 1 year, compounded every year (in ₹).
30. 30.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
31. 31.Solve: p/5 + p/2 = 49. What is p?
32. 32.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
33. 33.A square garden has an area of 841 square m. How long is each side (in m)?
34. 34.What is ∛216? =
35. 35.A town has 16000 people. The population grows by 15% every year. What will the population be after 3 years?
36. 36.Solve: 5n + 2 = n + 14. What is n?
37. 37.Find the value of x² − 2xy + y² when x = 9 and y = 6.
38. 38.Use a² − b² = (a + b)(a − b) to find 42² − 22².
39. 39.What is the difference between the compound interest and the simple interest on ₹10000 at 4% per year for 2 years (in ₹)?
40. 40.Solve: p/5 + p/2 = 21. What is p?

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