Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 669 · 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 (a + b)² = a² + 2ab + b² to find 104².
2. 2.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
3. 3.Write 2.9 × 10⁻³ as a decimal. =
4. 4.A trapezium has parallel sides of 21 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
5. 5.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
6. 6.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
7. 7.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
8. 8.What amount will ₹27200 grow to in 1 year at 20% per year compound interest (in ₹)?
9. 9.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
10. 10.Which of these is a perfect square? (a) 1225 (b) 1245 (c) 1236
11. 11.Find the compound interest on ₹45000 at 8% per year for 1 year, compounded every year (in ₹).
12. 12.What is ∛2744? =
13. 13.A trapezium has an area of 325 square cm. Its parallel sides are 26 cm and 24 cm. What is the distance between them (in cm)?
14. 14.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
15. 15.Which of these is a perfect square? (a) 142 (b) 133 (c) 121
16. 16.If a − b = 1 and ab = 90, what is a² + b²?
17. 17.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
18. 18.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
19. 19.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
20. 20.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
21. 21.What is ∛2197? =
22. 22.What is the smallest whole number by which 48 must be divided to get a perfect square?
23. 23.Which of these is a perfect cube? (a) 2515 (b) 2197 (c) 2252
24. 24.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
26. 26.What is 76²? =
27. 27.Use (a + b)(a − b) = a² − b² to find 63 × 57.
28. 28.Use a² − b² = (a + b)(a − b) to find 50² − 21².
29. 29.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 10 cm. What is its area (in square cm)?
30. 30.A scooter is worth ₹50800. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
31. 31.What is √4225? =
32. 32.What is √400? =
33. 33.Use (a + b)² = a² + 2ab + b² to find 99².
34. 34.Use (a + b)(a − b) = a² − b² to find 32 × 28.
35. 35.The sum of two consecutive whole numbers is 85. What is the largest of them?
36. 36.What is the value of 4⁵? =
37. 37.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
38. 38.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
39. 39.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
40. 40.A scooter is worth ₹4500. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?

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