Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 688 · 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 256 must be divided to get a perfect cube?
2. 2.What is the difference between the compound interest and the simple interest on ₹7600 at 5% per year for 2 years (in ₹)?
3. 3.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
4. 4.Solve: p/2 + p/5 = 7. What is p?
5. 5.Find the value of x² − 2xy + y² when x = 7 and y = 1.
6. 6.What is 86²? =
7. 7.Solve: 6(x − 4) = 3x + 9. What is x?
8. 8.A trapezium has an area of 99 square cm. Its parallel sides are 25 cm and 8 cm. What is the distance between them (in cm)?
9. 9.Use (a + b)(a − b) = a² − b² to find 83 × 77.
10. 10.Write 4.9 × 10⁻⁴ as a decimal. =
11. 11.What is the smallest whole number by which 75 must be divided to get a perfect square?
12. 12.What is ∛4096? =
13. 13.Write 5.2 × 10⁻¹ as a decimal. =
14. 14.Write 41,00,000 in standard form as 4.1 × 10ⁿ. What is n?
15. 15.Find the value of x² + 2xy + y² when x = 15 and y = 3.
16. 16.A trapezium has an area of 252 square cm. Its parallel sides are 27 cm and 15 cm. What is the distance between them (in cm)?
17. 17.What is the smallest whole number by which 896 must be multiplied to get a perfect square?
18. 18.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
19. 19.Find the compound interest on ₹38400 at 25% per year for 3 years, compounded every year (in ₹).
20. 20.What is 11³? =
21. 21.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
22. 22.If a − b = 7 and ab = 44, what is a² + b²?
23. 23.A trapezium has an area of 170 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
24. 24.What is the value of 4⁶? =
25. 25.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
26. 26.A square garden has an area of 400 square m. How long is each side (in m)?
27. 27.What is the value of 2⁻⁷ (as a fraction)? =
28. 28.Use (a + b)(a − b) = a² − b² to find 27 × 13.
29. 29.A cuboid is 15 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
30. 30.Which of these is a perfect square? (a) 254 (b) 230 (c) 225
31. 31.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
32. 32.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.What is ∛125? =
34. 34.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
35. 35.Use (a + b)(a − b) = a² − b² to find 72 × 68.
36. 36.Write (7²)⁴ as a single power 7ⁿ. What is n?
37. 37.The sum of four consecutive whole numbers is 242. What is the smallest of them?
38. 38.A cuboid is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.What is the difference between the compound interest and the simple interest on ₹40000 at 25% per year for 2 years (in ₹)?
40. 40.The sum of three consecutive whole numbers is 90. What is the smallest of them?

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