Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 816 · 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.Solve: n/3 + n/4 = 49. What is n?
2. 2.What is ∛2197? =
3. 3.What is 7³? =
4. 4.If a + b = 13 and ab = 22, what is a² + b²?
5. 5.Find the value of x² + 2xy + y² when x = 12 and y = 1.
6. 6.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
7. 7.A cuboid is 11 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
8. 8.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
9. 9.Use a² − b² = (a + b)(a − b) to find 82² − 4².
10. 10.What is the smallest whole number by which 243 must be divided to get a perfect square?
11. 11.What amount will ₹57000 grow to in 2 years at 10% per year compound interest (in ₹)?
12. 12.Solve: x/6 + x/5 = 88. What is x?
13. 13.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.What is 90²? =
15. 15.Solve: 3(n − 3) = n + 23. What is n?
16. 16.Write 9⁷ × 9⁵ as a single power 9ⁿ. What is n?
17. 17.Use (a − b)² = a² − 2ab + b² to find 74².
18. 18.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.What is the smallest whole number by which 448 must be divided to get a perfect cube?
20. 20.Use (a + b)² = a² + 2ab + b² to find 13².
21. 21.What amount will ₹55700 grow to in 1 year at 15% per year compound interest (in ₹)?
22. 22.What is the value of 2² × 2⁻¹? =
23. 23.Use (a − b)² = a² − 2ab + b² to find 37².
24. 24.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
25. 25.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
26. 26.A trapezium has parallel sides of 9 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
27. 27.What is 2³? =
28. 28.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
29. 29.What amount will ₹5700 grow to in 1 year at 20% per year compound interest (in ₹)?
30. 30.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
32. 32.What is ∛6859? =
33. 33.Which of these is a perfect cube? (a) 3525 (b) 3472 (c) 3375
34. 34.A cuboid is 10 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
36. 36.A scooter is worth ₹21700. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
37. 37.If a − b = 5 and ab = 66, what is a² + b²?
38. 38.Write 250 in standard form as 2.5 × 10ⁿ. What is n?
39. 39.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
40. 40.What is √441? =

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