Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 718 · 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.Write 1.9 × 10⁻¹ as a decimal. =
2. 2.Solve: 3y + 6 = y + 30. What is y?
3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
4. 4.Use (a + b)² = a² + 2ab + b² to find 49².
5. 5.A trapezium has an area of 204 square cm. Its parallel sides are 4 cm and 20 cm. What is the distance between them (in cm)?
6. 6.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.Find the value of x² − y² when x = 4 and y = 1.
8. 8.A cuboid is 12 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
9. 9.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
10. 10.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
11. 11.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
12. 12.Solve: 6(m − 2) = 4m + 2. What is m?
13. 13.Use a² − b² = (a + b)(a − b) to find 20² − 13².
14. 14.Use (a + b)² = a² + 2ab + b² to find 19².
15. 15.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
16. 16.Solve: 6(x − 3) = 5x + 8. What is x?
17. 17.What is 11³? =
18. 18.The diagonals of a rhombus are 26 cm and 17 cm. What is its area (in square cm)?
19. 19.What amount will ₹11200 grow to in 2 years at 15% per year compound interest (in ₹)?
20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
21. 21.What amount will ₹5400 grow to in 2 years at 20% per year compound interest (in ₹)?
22. 22.Which of these is a perfect square? (a) 841 (b) 897 (c) 845
23. 23.Use (a − b)² = a² − 2ab + b² to find 37².
24. 24.Solve: 4y + 18 = 3y + 32. What is y?
25. 25.A square garden has an area of 1444 square m. How long is each side (in m)?
26. 26.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
27. 27.Find the compound interest on ₹55700 at 25% per year for 1 year, compounded every year (in ₹).
28. 28.Find the compound interest on ₹55000 at 8% per year for 2 years, compounded every year (in ₹).
29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
30. 30.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
31. 31.Find the value of x² − 2xy + y² when x = 7 and y = 3.
32. 32.Find the value of x² − 2xy + y² when x = 5 and y = 2.
33. 33.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
35. 35.A cuboid is 14 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
36. 36.Solve: 6t + 10 = 5t + 22. What is t?
37. 37.What is √8649? =
38. 38.What is the value of 3⁶? =
39. 39.What amount will ₹3000 grow to in 3 years at 20% per year compound interest (in ₹)?
40. 40.Use (a − b)² = a² − 2ab + b² to find 38².

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