Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 694 · 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.Find the compound interest on ₹58600 at 8% per year for 1 year, compounded every year (in ₹).
2. 2.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
3. 3.Write 4 × 10⁻¹ as a decimal. =
4. 4.If a − b = 3 and ab = 4, what is a² + b²?
5. 5.Find the compound interest on ₹41600 at 8% per year for 1 year, compounded every year (in ₹).
6. 6.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
7. 7.A cuboid is 8 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
8. 8.Solve: 6y + 5 = y + 30. What is y?
9. 9.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
10. 10.What is ∛8? =
11. 11.What is the difference between the compound interest and the simple interest on ₹42400 at 15% per year for 2 years (in ₹)?
12. 12.Use (a + b)(a − b) = a² − b² to find 64 × 56.
13. 13.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
14. 14.What is the smallest whole number by which 240 must be divided to get a perfect square?
15. 15.What amount will ₹56800 grow to in 1 year at 5% per year compound interest (in ₹)?
16. 16.Solve: m/3 + m/6 = 18. What is m?
17. 17.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
18. 18.Write 2.6 × 10⁻⁴ as a decimal. =
19. 19.Which of these is a perfect square? (a) 831 (b) 801 (c) 784
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.Use (a + b)² = a² + 2ab + b² to find 14².
22. 22.Find the compound interest on ₹30200 at 4% per year for 1 year, compounded every year (in ₹).
23. 23.Solve: y/3 + y/2 = 10. What is y?
24. 24.What is 63²? =
25. 25.Find the value of x² − y² when x = 4 and y = 2.
26. 26.A trapezium has an area of 231 square cm. Its parallel sides are 7 cm and 26 cm. What is the distance between them (in cm)?
27. 27.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
28. 28.Use (a + b)(a − b) = a² − b² to find 69 × 51.
29. 29.Solve: 5(y − 4) = 3y + 4. What is y?
30. 30.Solve: 5(t − 5) = 3t + 7. What is t?
31. 31.Which of these is a perfect cube? (a) 98 (b) 86 (c) 64
32. 32.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.Use (a + b)(a − b) = a² − b² to find 32 × 28.
34. 34.What amount will ₹11800 grow to in 1 year at 10% per year compound interest (in ₹)?
35. 35.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
36. 36.What is the value of 7³? =
37. 37.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
38. 38.Use (a + b)² = a² + 2ab + b² to find 97².
39. 39.What is the smallest whole number by which 396 must be multiplied to get a perfect square?
40. 40.Which of these is a perfect square? (a) 121 (b) 129 (c) 135

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