Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 127 · 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.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
2. 2.Find the compound interest on ₹54800 at 5% per year for 2 years, compounded every year (in ₹).
3. 3.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
4. 4.A trapezium has an area of 550 square cm. Its parallel sides are 26 cm and 29 cm. What is the distance between them (in cm)?
5. 5.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.Find the value of x² + 2xy + y² when x = 6 and y = 1.
7. 7.A trapezium has parallel sides of 7 cm and 17 cm, and the distance between them is 3 cm. What is its area (in square cm)?
8. 8.What is ∛8? =
9. 9.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A trapezium has an area of 228 square cm. Its parallel sides are 14 cm and 10 cm. What is the distance between them (in cm)?
11. 11.The sum of three consecutive whole numbers is 174. What is the largest of them?
12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
14. 14.What is 18³? =
15. 15.A cuboid is 10 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
16. 16.What is the value of 7⁴? =
17. 17.What is the value of (1/7)⁻²? =
18. 18.5.8 × 10⁴ =
19. 19.What amount will ₹55500 grow to in 1 year at 4% per year compound interest (in ₹)?
20. 20.A square garden has an area of 1296 square m. How long is each side (in m)?
21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
22. 22.Use (a + b)² = a² + 2ab + b² to find 25².
23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
24. 24.A town has 19000 people. The population grows by 10% every year. What will the population be after 3 years?
25. 25.Solve: m/2 + m/3 = 35. What is m?
26. 26.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 26².
28. 28.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
29. 29.What is the value of 2⁵ × 2⁻³? =
30. 30.The sum of four consecutive whole numbers is 146. What is the largest of them?
31. 31.If a − b = 1 and ab = 2, what is a² + b²?
32. 32.What is 86²? =
33. 33.What is the value of 3⁶ × 3⁻⁶? =
34. 34.Find the compound interest on ₹46300 at 25% per year for 1 year, compounded every year (in ₹).
35. 35.What is √6084? =
36. 36.Find the value of x² − 2xy + y² when x = 5 and y = 1.
37. 37.Which of these is a perfect cube? (a) 125 (b) 131 (c) 152
38. 38.Use (a + b)(a − b) = a² − b² to find 79 × 61.
39. 39.A square garden has an area of 36 square m. How long is each side (in m)?
40. 40.The sum of three consecutive whole numbers is 33. What is the smallest of them?

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