Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 588 · 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 smallest whole number by which 375 must be divided to get a perfect cube?
2. 2.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
3. 3.Solve: 6p + 6 = 5p + 10. What is p?
4. 4.A square garden has an area of 1444 square m. How long is each side (in m)?
5. 5.What is the smallest whole number by which 704 must be multiplied to get a perfect square?
6. 6.Use (a + b)² = a² + 2ab + b² to find 51².
7. 7.What is the value of 5² × 5⁻²? =
8. 8.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
9. 9.What amount will ₹57000 grow to in 1 year at 15% per year compound interest (in ₹)?
10. 10.A scooter is worth ₹53300. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
11. 11.Use (a + b)(a − b) = a² − b² to find 45 × 35.
12. 12.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
13. 13.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
14. 14.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
15. 15.What is the value of 5⁴ × 5⁻¹? =
16. 16.Solve: 3y + 15 = 2y + 28. What is y?
17. 17.A square garden has an area of 144 square m. How long is each side (in m)?
18. 18.Write 4.7 × 10⁻² as a decimal. =
19. 19.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
20. 20.What is the value of 5⁵ × 5⁻⁴? =
21. 21.What is the value of 2⁶? =
22. 22.Which of these is a perfect cube? (a) 375 (b) 343 (c) 490
23. 23.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
24. 24.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
25. 25.What is 4³? =
26. 26.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
27. 27.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
28. 28.A trapezium has an area of 31 square cm. Its parallel sides are 10 cm and 21 cm. What is the distance between them (in cm)?
29. 29.What is √5476? =
30. 30.Solve: t/5 + t/2 = 21. What is t?
31. 31.A scooter is worth ₹33700. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
32. 32.Solve: p/3 + p/6 = 15. What is p?
33. 33.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
34. 34.Solve: 4t + 6 = 2t + 32. What is t?
35. 35.Use a² − b² = (a + b)(a − b) to find 93² − 53².
36. 36.Find the value of x² + 2xy + y² when x = 5 and y = 1.
37. 37.8.4 × 10⁶ =
38. 38.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
39. 39.A trapezium has an area of 80 square cm. Its parallel sides are 7 cm and 9 cm. What is the distance between them (in cm)?
40. 40.Solve: x/6 + x/2 = 8. What is x?

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