Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 789 · 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: 3(n − 2) = 2n + 5. What is n?
2. 2.What is the value of 2⁻² (as a fraction)? =
3. 3.A square garden has an area of 400 square m. How long is each side (in m)?
4. 4.What is √2025? =
5. 5.What is the difference between the compound interest and the simple interest on ₹14800 at 15% per year for 2 years (in ₹)?
6. 6.What is 58²? =
7. 7.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
8. 8.Use (a + b)² = a² + 2ab + b² to find 13².
9. 9.The length of a rectangle is 7 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
10. 10.What amount will ₹4800 grow to in 3 years at 25% per year compound interest (in ₹)?
11. 11.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
12. 12.Write 9.7 × 10⁻¹ as a decimal. =
13. 13.What is 52²? =
14. 14.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
15. 15.A cuboid is 14 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
16. 16.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
17. 17.A square garden has an area of 121 square m. How long is each side (in m)?
18. 18.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
19. 19.A cuboid is 8 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
20. 20.Use a² − b² = (a + b)(a − b) to find 92² − 23².
21. 21.What is the value of 2⁵ × 2⁻⁶? =
22. 22.A trapezium has an area of 35 square cm. Its parallel sides are 8 cm and 27 cm. What is the distance between them (in cm)?
23. 23.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 15 cm. What is its area (in square cm)?
24. 24.Write 8⁴ × 8⁴ as a single power 8ⁿ. What is n?
25. 25.Find the value of x² − y² when x = 9 and y = 2.
26. 26.Write 14,00,000 in standard form as 1.4 × 10ⁿ. What is n?
27. 27.What is the value of 7²? =
28. 28.Find the value of x² − 2xy + y² when x = 4 and y = 1.
29. 29.A town has 59200 people. The population grows by 15% every year. What will the population be after 2 years?
30. 30.Use a² − b² = (a + b)(a − b) to find 91² − 1².
31. 31.What is the smallest whole number by which 160 must be divided to get a perfect square?
32. 32.Which of these is a perfect cube? (a) 313 (b) 216 (c) 225
33. 33.The sum of three consecutive whole numbers is 93. What is the smallest of them?
34. 34.What is 27²? =
35. 35.A square garden has an area of 324 square m. How long is each side (in m)?
36. 36.Write 1.3 × 10⁻³ as a decimal. =
37. 37.Solve: 3t + 16 = t + 20. What is t?
38. 38.A trapezium has an area of 310 square cm. Its parallel sides are 12 cm and 19 cm. What is the distance between them (in cm)?
39. 39.Use (a − b)² = a² − 2ab + b² to find 75².
40. 40.A trapezium has an area of 27 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?

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