Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 941 · 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.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
2. 2.A square garden has an area of 2401 square m. How long is each side (in m)?
3. 3.What is 6³? =
4. 4.What is the smallest whole number by which 468 must be divided to get a perfect square?
5. 5.What is 3³? =
6. 6.Find the compound interest on ₹40000 at 8% per year for 2 years, compounded every year (in ₹).
7. 7.What is the value of 2⁹? =
8. 8.Which of these is a perfect cube? (a) 361 (b) 343 (c) 369
9. 9.Use a² − b² = (a + b)(a − b) to find 39² − 27².
10. 10.Which of these is a perfect square? (a) 142 (b) 121 (c) 133
11. 11.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
12. 12.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
13. 13.The sum of two consecutive whole numbers is 17. What is the largest of them?
14. 14.What is the value of 5⁵? =
15. 15.Solve: m/6 + m/2 = 16. What is m?
16. 16.Use (a + b)² = a² + 2ab + b² to find 103².
17. 17.Solve: x/3 + x/4 = 14. What is x?
18. 18.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
19. 19.The diagonals of a rhombus are 6 cm and 23 cm. What is its area (in square cm)?
20. 20.How many whole numbers lie between 13² and 14²?
21. 21.What is the smallest whole number by which 128 must be divided to get a perfect square?
22. 22.Find the compound interest on ₹24000 at 10% per year for 3 years, compounded every year (in ₹).
23. 23.Find the compound interest on ₹16800 at 5% per year for 2 years, compounded every year (in ₹).
24. 24.What is ∛8000? =
25. 25.What is √676? =
26. 26.Solve: x/5 + x/2 = 28. What is x?
27. 27.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
28. 28.What is the smallest whole number by which 896 must be multiplied to get a perfect square?
29. 29.What is √3249? =
30. 30.Which of these is a perfect square? (a) 961 (b) 977 (c) 967
31. 31.The length of a rectangle is 10 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
32. 32.What is the value of (1/3)⁻²? =
33. 33.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
34. 34.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
35. 35.If a + b = 3 and ab = 2, what is a² + b²?
36. 36.Solve: 5t + 20 = t + 36. What is t?
37. 37.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
38. 38.What is 45²? =
39. 39.Use a² − b² = (a + b)(a − b) to find 69² − 68².
40. 40.What amount will ₹19000 grow to in 3 years at 20% per year compound interest (in ₹)?

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