Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 265 · 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 23 odd numbers (1 + 3 + 5 + …)?
2. 2.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
3. 3.What is ∛5832? =
4. 4.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
5. 5.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.A trapezium has an area of 301 square cm. Its parallel sides are 17 cm and 26 cm. What is the distance between them (in cm)?
7. 7.A trapezium has parallel sides of 30 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
8. 8.A scooter is worth ₹37700. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
9. 9.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
10. 10.What is the smallest whole number by which 735 must be multiplied to get a perfect square?
11. 11.A cuboid is 4 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
12. 12.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
13. 13.Use (a + b)² = a² + 2ab + b² to find 78².
14. 14.Which of these is a perfect cube? (a) 613 (b) 512 (c) 702
15. 15.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
16. 16.Use (a + b)(a − b) = a² − b² to find 92 × 88.
17. 17.What is the value of 2¹²? =
18. 18.What is the difference between the compound interest and the simple interest on ₹16000 at 5% per year for 2 years (in ₹)?
19. 19.The sum of three consecutive whole numbers is 156. What is the largest of them?
20. 20.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
21. 21.A square garden has an area of 81 square m. How long is each side (in m)?
22. 22.A trapezium has an area of 54 square cm. Its parallel sides are 6 cm and 30 cm. What is the distance between them (in cm)?
23. 23.Use a² − b² = (a + b)(a − b) to find 71² − 52².
24. 24.Use (a − b)² = a² − 2ab + b² to find 65².
25. 25.Find the compound interest on ₹19200 at 25% per year for 3 years, compounded every year (in ₹).
26. 26.What is the smallest whole number by which 18 must be divided to get a perfect square?
27. 27.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
28. 28.Write 8¹³ ÷ 8⁷ as a single power 8ⁿ. What is n?
29. 29.Find the value of x² − 2xy + y² when x = 9 and y = 1.
30. 30.9.7 × 10² =
31. 31.The sum of three consecutive whole numbers is 81. What is the largest of them?
32. 32.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
33. 33.What is 10³? =
34. 34.What is 60²? =
35. 35.Use (a + b)(a − b) = a² − b² to find 41 × 39.
36. 36.A cuboid is 8 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.What is the value of 3⁴ × 3⁻²? =
38. 38.How many whole numbers lie between 12² and 13²?
39. 39.How many whole numbers lie between 34² and 35²?
40. 40.Write 6⁴ ÷ 6² as a single power 6ⁿ. What is n?

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