Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 557 · 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 trapezium has parallel sides of 23 cm and 29 cm, and the distance between them is 19 cm. What is its area (in square cm)?
2. 2.What is 3³? =
3. 3.What amount will ₹40400 grow to in 2 years at 25% per year compound interest (in ₹)?
4. 4.Solve: 3(y − 5) = 2y + 6. What is y?
5. 5.A father is 57 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
6. 6.What is the value of (1/5)⁻²? =
7. 7.Find the compound interest on ₹40800 at 25% per year for 2 years, compounded every year (in ₹).
8. 8.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
9. 9.Which of these is a perfect cube? (a) 3153 (b) 3283 (c) 2744
10. 10.A square garden has an area of 529 square m. How long is each side (in m)?
11. 11.What is 45²? =
12. 12.What is the smallest whole number by which 24 must be divided to get a perfect square?
13. 13.Solve: 5(m − 2) = 3m + 20. What is m?
14. 14.Use (a + b)² = a² + 2ab + b² to find 78².
15. 15.A cuboid is 4 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
16. 16.How many whole numbers lie between 14² and 15²?
17. 17.What is the value of 3⁵ × 3⁻⁵? =
18. 18.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?
19. 19.Solve: 6y + 17 = 5y + 26. What is y?
20. 20.The sum of three consecutive whole numbers is 72. What is the largest of them?
21. 21.If a − b = 5 and ab = 36, what is a² + b²?
22. 22.Solve: x/5 + x/4 = 72. What is x?
23. 23.Use (a − b)² = a² − 2ab + b² to find 87².
24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
25. 25.Use (a + b)(a − b) = a² − b² to find 63 × 57.
26. 26.What is ∛8? =
27. 27.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
28. 28.What amount will ₹19000 grow to in 3 years at 10% per year compound interest (in ₹)?
29. 29.What is the value of 3⁸? =
30. 30.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
31. 31.What is √3721? =
32. 32.A square garden has an area of 2304 square m. How long is each side (in m)?
33. 33.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
34. 34.The sum of two consecutive whole numbers is 89. What is the largest of them?
35. 35.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
36. 36.What is √576? =
37. 37.What is √5625? =
38. 38.What is the value of 4⁵? =
39. 39.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
40. 40.1.9 × 10³ =

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