Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 180 · 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.Solve: n/2 + n/3 = 10. What is n?
2. 2.What is √5929? =
3. 3.A father is 24 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
4. 4.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
5. 5.Use (a − b)² = a² − 2ab + b² to find 97².
6. 6.Solve: 4x + 15 = 2x + 25. What is x?
7. 7.Write 3¹¹ ÷ 3² as a single power 3ⁿ. What is n?
8. 8.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
9. 9.Solve: 5(t − 4) = t + 16. What is t?
10. 10.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
11. 11.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
12. 12.Find the compound interest on ₹55000 at 8% per year for 2 years, compounded every year (in ₹).
13. 13.A trapezium has parallel sides of 13 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
15. 15.Find the compound interest on ₹42000 at 10% per year for 3 years, compounded every year (in ₹).
16. 16.Use (a − b)² = a² − 2ab + b² to find 14².
17. 17.Which of these is a perfect square? (a) 169 (b) 187 (c) 177
18. 18.If a + b = 10 and ab = 9, what is a² + b²?
19. 19.What is the value of 2⁻⁵ (as a fraction)? =
20. 20.Which of these is a perfect cube? (a) 1422 (b) 1331 (c) 1676
21. 21.Which of these is a perfect square? (a) 469 (b) 441 (c) 472
22. 22.A room is 4 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A scooter is worth ₹55000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
24. 24.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
25. 25.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
27. 27.What amount will ₹13800 grow to in 1 year at 8% per year compound interest (in ₹)?
28. 28.Write 9.8 × 10⁻² as a decimal. =
29. 29.What amount will ₹25500 grow to in 3 years at 20% per year compound interest (in ₹)?
30. 30.Which of these is a perfect cube? (a) 607 (b) 520 (c) 512
31. 31.Which of these is a perfect square? (a) 1271 (b) 1225 (c) 1263
32. 32.Use (a + b)² = a² + 2ab + b² to find 61².
33. 33.What is the difference between the compound interest and the simple interest on ₹46300 at 10% per year for 2 years (in ₹)?
34. 34.Find the compound interest on ₹4000 at 8% per year for 1 year, compounded every year (in ₹).
35. 35.Use (a + b)(a − b) = a² − b² to find 42 × 38.
36. 36.A square garden has an area of 1156 square m. How long is each side (in m)?
37. 37.What is the smallest whole number by which 20 must be multiplied to get a perfect square?
38. 38.A cuboid is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.4.7 × 10² =
40. 40.What is the smallest whole number by which 98 must be divided to get a perfect square?

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