Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 756 · 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.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
2. 2.What is √1936? =
3. 3.Find the value of x² − 2xy + y² when x = 4 and y = 2.
4. 4.What is √729? =
5. 5.A cuboid is 15 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
6. 6.What is the difference between the compound interest and the simple interest on ₹40400 at 5% per year for 2 years (in ₹)?
7. 7.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
8. 8.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
9. 9.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
10. 10.A trapezium has an area of 176 square cm. Its parallel sides are 19 cm and 25 cm. What is the distance between them (in cm)?
11. 11.Use (a + b)² = a² + 2ab + b² to find 18².
12. 12.Solve: 6(m − 4) = 2m + 36. What is m?
13. 13.What amount will ₹47500 grow to in 2 years at 10% per year compound interest (in ₹)?
14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
15. 15.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
16. 16.Find the value of x² − 2xy + y² when x = 11 and y = 4.
17. 17.What amount will ₹40000 grow to in 2 years at 12% per year compound interest (in ₹)?
18. 18.Use (a + b)(a − b) = a² − b² to find 101 × 99.
19. 19.If a − b = 1 and ab = 90, what is a² + b²?
20. 20.What amount will ₹59200 grow to in 1 year at 8% per year compound interest (in ₹)?
21. 21.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
22. 22.The sum of three consecutive whole numbers is 162. What is the smallest of them?
23. 23.Solve: 5n + 8 = 4n + 19. What is n?
24. 24.What amount will ₹38800 grow to in 1 year at 10% per year compound interest (in ₹)?
25. 25.Write (4⁷)⁵ as a single power 4ⁿ. What is n?
26. 26.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
27. 27.Which of these is a perfect cube? (a) 2936 (b) 2841 (c) 2744
28. 28.What is the value of 3² × 3⁻²? =
29. 29.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
30. 30.Use (a + b)(a − b) = a² − b² to find 45 × 35.
31. 31.What is the value of 2⁸? =
32. 32.Use a² − b² = (a + b)(a − b) to find 43² − 12².
33. 33.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.If a + b = 4 and ab = 3, what is a² + b²?
35. 35.Use (a + b)² = a² + 2ab + b² to find 101².
36. 36.Solve: 6x + 5 = x + 70. What is x?
37. 37.Write (9²)³ as a single power 9ⁿ. What is n?
38. 38.If a − b = 4 and ab = 32, what is a² + b²?
39. 39.A cuboid is 5 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
40. 40.Solve: 9m + 6 = 5m + 14. What is m?

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