Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 825 · 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)(a − b) = a² − b² to find 103 × 97.
2. 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
3. 3.Use a² − b² = (a + b)(a − b) to find 97² − 74².
4. 4.A scooter is worth ₹54700. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
6. 6.Find the compound interest on ₹29000 at 4% per year for 1 year, compounded every year (in ₹).
7. 7.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
8. 8.The sum of four consecutive whole numbers is 46. What is the largest of them?
9. 9.Use (a − b)² = a² − 2ab + b² to find 73².
10. 10.9.5 × 10² =
11. 11.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
12. 12.Use a² − b² = (a + b)(a − b) to find 71² − 61².
13. 13.Use (a − b)² = a² − 2ab + b² to find 27².
14. 14.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
15. 15.Write 8.1 × 10⁻¹ as a decimal. =
16. 16.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
17. 17.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
18. 18.Solve: 3(n − 5) = 2n + 3. What is n?
19. 19.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
20. 20.Write 620 in standard form as 6.2 × 10ⁿ. What is n?
21. 21.What is the value of 10¹ × 10⁻⁶? =
22. 22.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
23. 23.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
24. 24.Write 6³ × 6⁶ as a single power 6ⁿ. What is n?
25. 25.Find the compound interest on ₹28800 at 20% per year for 2 years, compounded every year (in ₹).
26. 26.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
27. 27.Find the compound interest on ₹5000 at 8% per year for 2 years, compounded every year (in ₹).
28. 28.Which of these is a perfect cube? (a) 248 (b) 216 (c) 241
29. 29.What is the smallest whole number by which 126 must be divided to get a perfect square?
30. 30.What is the value of 7⁻¹ (as a fraction)? =
31. 31.Solve: 5t + 10 = t + 42. What is t?
32. 32.A square garden has an area of 625 square m. How long is each side (in m)?
33. 33.A room is 10 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.What is 74²? =
35. 35.The sum of three consecutive whole numbers is 60. What is the largest of them?
36. 36.What is 55²? =
37. 37.What is the smallest whole number by which 392 must be divided to get a perfect cube?
38. 38.A trapezium has parallel sides of 11 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
39. 39.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
40. 40.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?

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