Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 276 · 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.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
2. 2.The sum of two consecutive whole numbers is 75. What is the largest of them?
3. 3.If a − b = 1 and ab = 2, what is a² + b²?
4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
5. 5.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
6. 6.4.2 × 10³ =
7. 7.What is the value of 9⁻³ (as a fraction)? =
8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
9. 9.A square garden has an area of 2809 square m. How long is each side (in m)?
10. 10.Write 6¹¹ ÷ 6⁸ as a single power 6ⁿ. What is n?
11. 11.Find the compound interest on ₹5800 at 20% per year for 2 years, compounded every year (in ₹).
12. 12.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
14. 14.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
15. 15.Find the value of x² + 2xy + y² when x = 15 and y = 1.
16. 16.What is √441? =
17. 17.If a − b = 1 and ab = 6, what is a² + b²?
18. 18.A trapezium has an area of 69 square cm. Its parallel sides are 6 cm and 17 cm. What is the distance between them (in cm)?
19. 19.A trapezium has parallel sides of 4 cm and 22 cm, and the distance between them is 7 cm. What is its area (in square cm)?
20. 20.What is the value of 5² × 5⁻⁵? =
21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
22. 22.Write (8⁹)³ as a single power 8ⁿ. What is n?
23. 23.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
24. 24.A trapezium has parallel sides of 10 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
25. 25.Find the compound interest on ₹45300 at 20% per year for 1 year, compounded every year (in ₹).
26. 26.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
27. 27.What is the value of 6²? =
28. 28.What is the value of (2/5)⁻¹? =
29. 29.What is √4489? =
30. 30.Use (a + b)² = a² + 2ab + b² to find 85².
31. 31.Use (a + b)(a − b) = a² − b² to find 92 × 88.
32. 32.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
33. 33.The sum of three consecutive whole numbers is 120. What is the largest of them?
34. 34.What is √961? =
35. 35.A trapezium has parallel sides of 17 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
36. 36.What amount will ₹46000 grow to in 1 year at 5% per year compound interest (in ₹)?
37. 37.Find the value of x² − 2xy + y² when x = 3 and y = 1.
38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
39. 39.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
40. 40.What is ∛8000? =

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