Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 672 · 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.Use a² − b² = (a + b)(a − b) to find 85² − 20².
2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
3. 3.Use (a + b)(a − b) = a² − b² to find 107 × 93.
4. 4.Use (a − b)² = a² − 2ab + b² to find 15².
5. 5.A cuboid is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
6. 6.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
7. 7.Write 2.8 × 10⁻² as a decimal. =
8. 8.Use (a − b)² = a² − 2ab + b² to find 65².
9. 9.Write 2.4 × 10⁻³ as a decimal. =
10. 10.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
11. 11.Write 2⁶ × 2⁴ as a single power 2ⁿ. What is n?
12. 12.A cuboid is 3 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
14. 14.What is the smallest whole number by which 20 must be divided to get a perfect square?
15. 15.What is the value of 2⁴ × 2⁻³? =
16. 16.Solve: t/3 + t/4 = 28. What is t?
17. 17.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
19. 19.Find the value of x² + 2xy + y² when x = 12 and y = 6.
20. 20.A trapezium has an area of 182 square cm. Its parallel sides are 21 cm and 7 cm. What is the distance between them (in cm)?
21. 21.What is the value of (2/5)⁻²? =
22. 22.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
23. 23.A trapezium has an area of 370 square cm. Its parallel sides are 16 cm and 21 cm. What is the distance between them (in cm)?
24. 24.Which of these is a perfect square? (a) 906 (b) 954 (c) 900
25. 25.A town has 57600 people. The population grows by 25% every year. What will the population be after 3 years?
26. 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
27. 27.A scooter is worth ₹13700. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
28. 28.Use (a + b)(a − b) = a² − b² to find 72 × 68.
29. 29.Which of these is a perfect cube? (a) 125 (b) 197 (c) 137
30. 30.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
31. 31.Use (a + b)² = a² + 2ab + b² to find 34².
32. 32.Find the value of x² − y² when x = 5 and y = 1.
33. 33.What is the value of 4⁶? =
34. 34.Solve: 3m + 6 = 2m + 20. What is m?
35. 35.What is √2809? =
36. 36.What is 8³? =
37. 37.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
38. 38.What is 67²? =
39. 39.What is 47²? =
40. 40.A trapezium has an area of 27 square cm. Its parallel sides are 10 cm and 8 cm. What is the distance between them (in cm)?

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