Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 448 · 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.A cuboid is 6 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
2. 2.What amount will ₹56800 grow to in 2 years at 20% per year compound interest (in ₹)?
3. 3.What is 17³? =
4. 4.A trapezium has an area of 162 square cm. Its parallel sides are 11 cm and 7 cm. What is the distance between them (in cm)?
5. 5.What is 36²? =
6. 6.Which of these is a perfect square? (a) 576 (b) 598 (c) 590
7. 7.Solve: x/5 + x/2 = 28. What is x?
8. 8.The sum of four consecutive whole numbers is 118. What is the smallest of them?
9. 9.What is the value of 5⁴ × 5⁻²? =
10. 10.Use (a + b)² = a² + 2ab + b² to find 25².
11. 11.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
12. 12.A trapezium has parallel sides of 10 cm and 24 cm, and the distance between them is 5 cm. What is its area (in square cm)?
13. 13.Use (a + b)(a − b) = a² − b² to find 89 × 71.
14. 14.Write (4⁹)⁴ as a single power 4ⁿ. What is n?
15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
16. 16.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
18. 18.What is ∛15625? =
19. 19.A square garden has an area of 900 square m. How long is each side (in m)?
20. 20.What is the smallest whole number by which 125 must be divided to get a perfect square?
21. 21.The diagonals of a rhombus are 8 cm and 18 cm. What is its area (in square cm)?
22. 22.A scooter is worth ₹21900. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
23. 23.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
24. 24.Find the compound interest on ₹18400 at 25% per year for 1 year, compounded every year (in ₹).
25. 25.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
26. 26.How many whole numbers lie between 42² and 43²?
27. 27.Write (6⁵)⁵ as a single power 6ⁿ. What is n?
28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
29. 29.What is the value of 2²? =
30. 30.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
31. 31.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
32. 32.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.What is the value of (4/5)⁻²? =
34. 34.What amount will ₹38300 grow to in 1 year at 12% per year compound interest (in ₹)?
35. 35.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
36. 36.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
37. 37.Use (a − b)² = a² − 2ab + b² to find 22².
38. 38.A trapezium has parallel sides of 12 cm and 20 cm, and the distance between them is 15 cm. What is its area (in square cm)?
39. 39.Use (a − b)² = a² − 2ab + b² to find 98².
40. 40.What amount will ₹13700 grow to in 2 years at 10% per year compound interest (in ₹)?

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