Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 413 · 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.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
2. 2.A square garden has an area of 841 square m. How long is each side (in m)?
3. 3.What is the value of 2⁷? =
4. 4.Use a² − b² = (a + b)(a − b) to find 42² − 20².
5. 5.Which of these is a perfect cube? (a) 3011 (b) 3164 (c) 2744
6. 6.Which of these is a perfect square? (a) 861 (b) 872 (c) 841
7. 7.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
8. 8.Write 9.7 × 10⁻⁴ as a decimal. =
9. 9.What is √1225? =
10. 10.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
11. 11.The diagonals of a rhombus are 14 cm and 25 cm. What is its area (in square cm)?
12. 12.Find the compound interest on ₹59000 at 10% per year for 1 year, compounded every year (in ₹).
13. 13.A scooter is worth ₹14400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
14. 14.Use a² − b² = (a + b)(a − b) to find 81² − 55².
15. 15.Use (a + b)(a − b) = a² − b² to find 83 × 77.
16. 16.What is the smallest whole number by which 90 must be divided to get a perfect square?
17. 17.What is the smallest whole number by which 16 must be divided to get a perfect cube?
18. 18.What is the value of 5⁷? =
19. 19.A trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
20. 20.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
21. 21.What amount will ₹10800 grow to in 1 year at 25% per year compound interest (in ₹)?
22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
23. 23.What is the value of 3⁴? =
24. 24.Use a² − b² = (a + b)(a − b) to find 78² − 37².
25. 25.Find the value of x² + 2xy + y² when x = 8 and y = 7.
26. 26.Use (a + b)² = a² + 2ab + b² to find 11².
27. 27.A cuboid is 9 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
29. 29.What is the value of 3⁶ × 3⁻¹? =
30. 30.What is the value of 3⁷? =
31. 31.A trapezium has parallel sides of 11 cm and 22 cm, and the distance between them is 6 cm. What is its area (in square cm)?
32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.What is the value of 3⁴ × 3⁻¹? =
34. 34.What is ∛216? =
35. 35.Use a² − b² = (a + b)(a − b) to find 89² − 61².
36. 36.What is the value of 5⁴ × 5⁻³? =
37. 37.What is the difference between the compound interest and the simple interest on ₹11100 at 10% per year for 2 years (in ₹)?
38. 38.Solve: 4(n − 2) = 3n + 13. What is n?
39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
40. 40.What is the value of (1/7)⁻¹? =

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