Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 16 · 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.Find the value of x² + 2xy + y² when x = 15 and y = 6.
2. 2.How many whole numbers lie between 36² and 37²?
3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
4. 4.4.4 × 10⁷ =
5. 5.Find the compound interest on ₹50200 at 20% per year for 2 years, compounded every year (in ₹).
6. 6.A trapezium has an area of 105 square cm. Its parallel sides are 18 cm and 12 cm. What is the distance between them (in cm)?
7. 7.Use a² − b² = (a + b)(a − b) to find 93² − 16².
8. 8.What is 7³? =
9. 9.What is the value of 2¹¹? =
10. 10.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
11. 11.Solve: n/5 + n/6 = 55. What is n?
12. 12.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
13. 13.A square garden has an area of 169 square m. How long is each side (in m)?
14. 14.A father is 36 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
15. 15.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
16. 16.What is the value of 8⁵? =
17. 17.What is ∛2744? =
18. 18.Use (a − b)² = a² − 2ab + b² to find 86².
19. 19.A cuboid is 5 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
20. 20.What is the value of 2⁵ × 2⁻⁵? =
21. 21.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.What is the value of 3⁵? =
23. 23.A square garden has an area of 196 square m. How long is each side (in m)?
24. 24.What amount will ₹10000 grow to in 1 year at 20% per year compound interest (in ₹)?
25. 25.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
26. 26.What is the smallest whole number by which 72 must be multiplied to get a perfect square?
27. 27.Use a² − b² = (a + b)(a − b) to find 35² − 23².
28. 28.A trapezium has parallel sides of 21 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
29. 29.Find the compound interest on ₹15500 at 12% per year for 1 year, compounded every year (in ₹).
30. 30.Solve: 6(m − 3) = 3m + 21. What is m?
31. 31.The diagonals of a rhombus are 14 cm and 13 cm. What is its area (in square cm)?
32. 32.A town has 28700 people. The population grows by 20% every year. What will the population be after 2 years?
33. 33.How many whole numbers lie between 34² and 35²?
34. 34.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
35. 35.What amount will ₹53000 grow to in 3 years at 10% per year compound interest (in ₹)?
36. 36.What is the value of 3³? =
37. 37.What is the smallest whole number by which 200 must be divided to get a perfect cube?
38. 38.Which of these is a perfect cube? (a) 37 (b) 47 (c) 27
39. 39.Solve: 5(p − 4) = 4p + 4. What is p?
40. 40.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?

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