Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 174 · 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.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
2. 2.What is √7225? =
3. 3.What is the smallest whole number by which 135 must be divided to get a perfect cube?
4. 4.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
5. 5.Write (7⁷)⁸ as a single power 7ⁿ. What is n?
6. 6.If a − b = 5 and ab = 6, what is a² + b²?
7. 7.A father is 39 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
8. 8.Write 5.1 × 10⁻² as a decimal. =
9. 9.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
10. 10.What is the value of 2⁻⁸ (as a fraction)? =
11. 11.What is √9604? =
12. 12.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
13. 13.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
14. 14.Use (a + b)² = a² + 2ab + b² to find 13².
15. 15.A cuboid is 8 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
16. 16.What is the difference between the compound interest and the simple interest on ₹45200 at 15% per year for 2 years (in ₹)?
17. 17.A scooter is worth ₹18800. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
18. 18.A scooter is worth ₹8000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
19. 19.A scooter is worth ₹14400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
20. 20.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
21. 21.Write 6.3 × 10⁻³ as a decimal. =
22. 22.A scooter is worth ₹13500. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
23. 23.The diagonals of a rhombus are 30 cm and 9 cm. What is its area (in square cm)?
24. 24.What is the value of (5/8)⁻¹? =
25. 25.What is ∛8? =
26. 26.Write 3.3 × 10⁻³ as a decimal. =
27. 27.What is the value of 2⁻¹ (as a fraction)? =
28. 28.A cuboid is 7 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
30. 30.If a − b = 1 and ab = 6, what is a² + b²?
31. 31.What is 13³? =
32. 32.What is the smallest whole number by which 810 must be divided to get a perfect square?
33. 33.A cuboid is 11 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
34. 34.A cuboid is 10 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
35. 35.Use (a + b)(a − b) = a² − b² to find 45 × 35.
36. 36.Which of these is a perfect square? (a) 205 (b) 202 (c) 196
37. 37.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
38. 38.Find the compound interest on ₹45000 at 4% per year for 2 years, compounded every year (in ₹).
39. 39.A square garden has an area of 324 square m. How long is each side (in m)?
40. 40.What amount will ₹25700 grow to in 1 year at 4% per year compound interest (in ₹)?

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