Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 771 · 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 72² − 48².
2. 2.If a − b = 2 and ab = 63, what is a² + b²?
3. 3.A father is 16 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?
4. 4.A trapezium has parallel sides of 5 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
5. 5.Find the compound interest on ₹3600 at 4% per year for 1 year, compounded every year (in ₹).
6. 6.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
7. 7.What amount will ₹56100 grow to in 1 year at 10% per year compound interest (in ₹)?
8. 8.Find the compound interest on ₹15900 at 10% per year for 2 years, compounded every year (in ₹).
9. 9.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
10. 10.Write 7.7 × 10⁻⁴ as a decimal. =
11. 11.Write 4,60,00,000 in standard form as 4.6 × 10ⁿ. What is n?
12. 12.What is the value of 5¹ × 5⁻⁴? =
13. 13.Solve: 5y + 14 = 3y + 42. What is y?
14. 14.What is ∛2197? =
15. 15.The sum of three consecutive whole numbers is 78. What is the largest of them?
16. 16.Use (a + b)² = a² + 2ab + b² to find 19².
17. 17.What is √289? =
18. 18.The sum of three consecutive whole numbers is 69. What is the smallest of them?
19. 19.A square garden has an area of 81 square m. How long is each side (in m)?
20. 20.Use (a + b)² = a² + 2ab + b² to find 75².
21. 21.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
22. 22.Use (a + b)² = a² + 2ab + b² to find 58².
23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
24. 24.Solve: 4x + 1 = 3x + 14. What is x?
25. 25.What is 2³? =
26. 26.What amount will ₹12200 grow to in 1 year at 20% per year compound interest (in ₹)?
27. 27.What is the value of (6/7)⁻¹? =
28. 28.A scooter is worth ₹49600. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
29. 29.Solve: 3(p − 2) = 2p + 5. What is p?
30. 30.Which of these is a perfect cube? (a) 198 (b) 125 (c) 137
31. 31.What is 90²? =
32. 32.Solve: 9t + 1 = 7t + 27. What is t?
33. 33.If a − b = 2 and ab = 3, what is a² + b²?
34. 34.Use a² − b² = (a + b)(a − b) to find 82² − 46².
35. 35.Find the value of x² + 2xy + y² when x = 12 and y = 1.
36. 36.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.What is the smallest whole number by which 40 must be divided to get a perfect cube?
38. 38.What is √961? =
39. 39.A square garden has an area of 1681 square m. How long is each side (in m)?
40. 40.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

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