Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 614 · 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.If a − b = 1 and ab = 2, what is a² + b²?
2. 2.Use a² − b² = (a + b)(a − b) to find 82² − 56².
3. 3.The sum of two consecutive whole numbers is 15. What is the smallest of them?
4. 4.A scooter is worth ₹39400. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
5. 5.What amount will ₹42500 grow to in 2 years at 12% per year compound interest (in ₹)?
6. 6.Use (a − b)² = a² − 2ab + b² to find 16².
7. 7.1.2 × 10² =
8. 8.If a + b = 19 and ab = 84, what is a² + b²?
9. 9.What is ∛12167? =
10. 10.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
11. 11.What is ∛125? =
12. 12.What is the value of 2⁻⁹ (as a fraction)? =
13. 13.Solve: 5t + 18 = 2t + 24. What is t?
14. 14.What is √2916? =
15. 15.Use a² − b² = (a + b)(a − b) to find 28² − 15².
16. 16.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
17. 17.Write 8.1 × 10⁻⁴ as a decimal. =
18. 18.The sum of three consecutive whole numbers is 66. What is the smallest of them?
19. 19.What is the value of 5⁴? =
20. 20.What is 16³? =
21. 21.A cuboid is 8 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.Write 62,00,000 in standard form as 6.2 × 10ⁿ. What is n?
23. 23.What is 14³? =
24. 24.A cuboid is 13 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 55².
26. 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
27. 27.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has an area of 96 square cm. Its parallel sides are 24 cm and 8 cm. What is the distance between them (in cm)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 74².
30. 30.Write 6² × 6³ as a single power 6ⁿ. What is n?
31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
33. 33.Find the compound interest on ₹30500 at 5% per year for 1 year, compounded every year (in ₹).
34. 34.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.Solve: p/3 + p/5 = 8. What is p?
36. 36.Find the value of x² + 2xy + y² when x = 3 and y = 1.
37. 37.What is the difference between the compound interest and the simple interest on ₹2800 at 15% per year for 2 years (in ₹)?
38. 38.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
39. 39.What is the smallest whole number by which 960 must be divided to get a perfect square?
40. 40.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?

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