Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 285 · 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 an area of 76 square cm. Its parallel sides are 28 cm and 10 cm. What is the distance between them (in cm)?
2. 2.Which of these is a perfect cube? (a) 928 (b) 729 (c) 779
3. 3.What is √256? =
4. 4.A town has 3200 people. The population grows by 25% every year. What will the population be after 3 years?
5. 5.What is the smallest whole number by which 54 must be divided to get a perfect cube?
6. 6.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
7. 7.Write 9¹⁶ ÷ 9⁸ as a single power 9ⁿ. What is n?
8. 8.What is the smallest whole number by which 1215 must be multiplied to get a perfect square?
9. 9.A cuboid is 6 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.Use (a + b)(a − b) = a² − b² to find 106 × 94.
11. 11.Solve: x/6 + x/5 = 88. What is x?
12. 12.Use a² − b² = (a + b)(a − b) to find 27² − 25².
13. 13.2.4 × 10³ =
14. 14.The diagonals of a rhombus are 30 cm and 26 cm. What is its area (in square cm)?
15. 15.Use (a − b)² = a² − 2ab + b² to find 44².
16. 16.A trapezium has parallel sides of 20 cm and 16 cm, and the distance between them is 3 cm. What is its area (in square cm)?
17. 17.Write 5.4 × 10⁻⁴ as a decimal. =
18. 18.The diagonals of a rhombus are 16 cm and 18 cm. What is its area (in square cm)?
19. 19.Write (7⁷)² as a single power 7ⁿ. What is n?
20. 20.Solve: 9x + 1 = 8x + 8. What is x?
21. 21.What amount will ₹19000 grow to in 3 years at 10% per year compound interest (in ₹)?
22. 22.Find the value of x² − 2xy + y² when x = 14 and y = 4.
23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
24. 24.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
25. 25.Use a² − b² = (a + b)(a − b) to find 77² − 57².
26. 26.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
27. 27.Write 4.6 × 10⁻⁴ as a decimal. =
28. 28.Use a² − b² = (a + b)(a − b) to find 61² − 39².
29. 29.Write 2.2 × 10⁻⁴ as a decimal. =
30. 30.Use (a + b)² = a² + 2ab + b² to find 47².
31. 31.What amount will ₹48500 grow to in 1 year at 20% per year compound interest (in ₹)?
32. 32.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
33. 33.What is ∛15625? =
34. 34.A square garden has an area of 324 square m. How long is each side (in m)?
35. 35.Solve: m/6 + m/4 = 5. What is m?
36. 36.What is √3249? =
37. 37.Write 2.9 × 10⁻³ as a decimal. =
38. 38.What is the value of 8⁻¹ (as a fraction)? =
39. 39.A trapezium has an area of 234 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
40. 40.Use (a + b)² = a² + 2ab + b² to find 78².

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