Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 924 · 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 value of 7⁵? =
2. 2.If a − b = 2 and ab = 35, what is a² + b²?
3. 3.What is the value of 3³ × 3⁻¹? =
4. 4.What is the difference between the compound interest and the simple interest on ₹34400 at 5% per year for 2 years (in ₹)?
5. 5.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
6. 6.What is the value of 10⁴ × 10⁻⁶? =
7. 7.What is the smallest whole number by which 20 must be divided to get a perfect square?
8. 8.What is the difference between the compound interest and the simple interest on ₹26000 at 25% per year for 2 years (in ₹)?
9. 9.A father is 28 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?
10. 10.Use (a + b)(a − b) = a² − b² to find 98 × 82.
11. 11.What is ∛27? =
12. 12.A town has 35300 people. The population grows by 15% every year. What will the population be after 1 year?
13. 13.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
14. 14.Write 4.7 × 10⁻⁴ as a decimal. =
15. 15.A scooter is worth ₹10400. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
16. 16.What is the difference between the compound interest and the simple interest on ₹48400 at 25% per year for 2 years (in ₹)?
17. 17.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
18. 18.Use a² − b² = (a + b)(a − b) to find 29² − 18².
19. 19.Find the value of x² + 2xy + y² when x = 8 and y = 6.
20. 20.What is √6084? =
21. 21.A cuboid is 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
22. 22.The diagonals of a rhombus are 18 cm and 26 cm. What is its area (in square cm)?
23. 23.Use (a + b)(a − b) = a² − b² to find 28 × 12.
24. 24.What amount will ₹8100 grow to in 1 year at 15% per year compound interest (in ₹)?
25. 25.What is 20³? =
26. 26.Find the compound interest on ₹14600 at 12% per year for 1 year, compounded every year (in ₹).
27. 27.The diagonals of a rhombus are 16 cm and 17 cm. What is its area (in square cm)?
28. 28.Find the compound interest on ₹25000 at 5% per year for 1 year, compounded every year (in ₹).
29. 29.What is the value of 8³? =
30. 30.What amount will ₹8600 grow to in 2 years at 20% per year compound interest (in ₹)?
31. 31.Write 95,000 in standard form as 9.5 × 10ⁿ. What is n?
32. 32.A trapezium has an area of 13 square cm. Its parallel sides are 7 cm and 6 cm. What is the distance between them (in cm)?
33. 33.Use (a − b)² = a² − 2ab + b² to find 48².
34. 34.A square garden has an area of 484 square m. How long is each side (in m)?
35. 35.What is the difference between the compound interest and the simple interest on ₹23600 at 5% per year for 2 years (in ₹)?
36. 36.What is ∛512? =
37. 37.What is the value of 5⁻⁴ (as a fraction)? =
38. 38.A town has 26900 people. The population grows by 10% every year. What will the population be after 1 year?
39. 39.Use a² − b² = (a + b)(a − b) to find 84² − 80².
40. 40.A square garden has an area of 25 square m. How long is each side (in m)?

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