Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 700 · 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 smallest whole number by which 56 must be divided to get a perfect cube?
2. 2.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
3. 3.Which of these is a perfect square? (a) 124 (b) 123 (c) 121
4. 4.Which of these is a perfect square? (a) 154 (b) 163 (c) 144
5. 5.What is the value of 10¹ × 10⁻⁶? =
6. 6.What is the value of 5⁴ × 5⁻³? =
7. 7.If a + b = 8 and ab = 12, what is a² + b²?
8. 8.Write 2¹⁴ ÷ 2⁸ as a single power 2ⁿ. What is n?
9. 9.What is ∛6859? =
10. 10.How many whole numbers lie between 48² and 49²?
11. 11.The sum of four consecutive whole numbers is 182. What is the smallest of them?
12. 12.Solve: 7p + 14 = 3p + 26. What is p?
13. 13.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.Use a² − b² = (a + b)(a − b) to find 77² − 51².
16. 16.A trapezium has an area of 180 square cm. Its parallel sides are 16 cm and 4 cm. What is the distance between them (in cm)?
17. 17.A scooter is worth ₹49200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
18. 18.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
19. 19.What is 14²? =
20. 20.A trapezium has an area of 126 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?
21. 21.Write 1.6 × 10⁻³ as a decimal. =
22. 22.Which of these is a perfect cube? (a) 888 (b) 729 (c) 877
23. 23.Solve: 6(x − 2) = x + 33. What is x?
24. 24.What is 3³? =
25. 25.Use (a + b)(a − b) = a² − b² to find 106 × 94.
26. 26.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
27. 27.Use (a − b)² = a² − 2ab + b² to find 54².
28. 28.What is the value of 3⁷? =
29. 29.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
30. 30.A square garden has an area of 441 square m. How long is each side (in m)?
31. 31.Solve: t/2 + t/4 = 24. What is t?
32. 32.What is the smallest whole number by which 640 must be divided to get a perfect square?
33. 33.What amount will ₹33300 grow to in 2 years at 10% per year compound interest (in ₹)?
34. 34.Use a² − b² = (a + b)(a − b) to find 86² − 38².
35. 35.Which of these is a perfect square? (a) 313 (b) 289 (c) 290
36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
37. 37.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
38. 38.A cuboid is 11 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
40. 40.A cuboid is 10 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?

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