Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 78 · 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 3⁷? =
2. 2.A father is 27 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
3. 3.What is the value of 9⁻³ (as a fraction)? =
4. 4.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?
5. 5.Find the compound interest on ₹58200 at 10% per year for 1 year, compounded every year (in ₹).
6. 6.Use (a + b)² = a² + 2ab + b² to find 13².
7. 7.A scooter is worth ₹48700. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
8. 8.What is 12³? =
9. 9.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
10. 10.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.Use (a + b)(a − b) = a² − b² to find 39 × 21.
12. 12.Use (a − b)² = a² − 2ab + b² to find 94².
13. 13.The sum of three consecutive whole numbers is 18. What is the smallest of them?
14. 14.Which of these is a perfect cube? (a) 557 (b) 512 (c) 647
15. 15.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
16. 16.What is 21²? =
17. 17.A square garden has an area of 1936 square m. How long is each side (in m)?
18. 18.What is the smallest whole number by which 176 must be multiplied to get a perfect square?
19. 19.A cuboid is 14 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
20. 20.What is the value of 5⁴ × 5⁻³? =
21. 21.A town has 57600 people. The population grows by 25% every year. What will the population be after 3 years?
22. 22.Use (a − b)² = a² − 2ab + b² to find 14².
23. 23.Solve: x/3 + x/4 = 28. What is x?
24. 24.Write 1.1 × 10⁻² as a decimal. =
25. 25.A square garden has an area of 841 square m. How long is each side (in m)?
26. 26.A scooter is worth ₹10000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
27. 27.Write 2.6 × 10⁻³ as a decimal. =
28. 28.Solve: 5(x − 2) = 2x + 2. What is x?
29. 29.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.Solve: 3(m − 2) = m + 6. What is m?
31. 31.What amount will ₹50000 grow to in 2 years at 8% per year compound interest (in ₹)?
32. 32.A town has 45600 people. The population grows by 20% every year. What will the population be after 2 years?
33. 33.A trapezium has an area of 245 square cm. Its parallel sides are 6 cm and 29 cm. What is the distance between them (in cm)?
34. 34.What amount will ₹3400 grow to in 1 year at 4% per year compound interest (in ₹)?
35. 35.What is the value of 8⁻¹ (as a fraction)? =
36. 36.A trapezium has parallel sides of 22 cm and 14 cm, and the distance between them is 19 cm. What is its area (in square cm)?
37. 37.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
39. 39.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
40. 40.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?

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