Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 126 · 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.What amount will ₹28100 grow to in 2 years at 10% per year compound interest (in ₹)?
2. 2.Which of these is a perfect cube? (a) 2197 (b) 2307 (c) 2539
3. 3.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
4. 4.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.What is the difference between the compound interest and the simple interest on ₹50000 at 8% per year for 2 years (in ₹)?
6. 6.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
7. 7.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
8. 8.Write 8.3 × 10⁻² as a decimal. =
9. 9.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?
11. 11.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
12. 12.Find the compound interest on ₹41800 at 15% per year for 1 year, compounded every year (in ₹).
13. 13.Use (a + b)(a − b) = a² − b² to find 33 × 27.
14. 14.Use (a + b)(a − b) = a² − b² to find 48 × 32.
15. 15.A scooter is worth ₹50100. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
16. 16.Find the compound interest on ₹32000 at 10% per year for 2 years, compounded every year (in ₹).
17. 17.What is the difference between the compound interest and the simple interest on ₹15000 at 12% per year for 2 years (in ₹)?
18. 18.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
19. 19.A trapezium has an area of 120 square cm. Its parallel sides are 17 cm and 7 cm. What is the distance between them (in cm)?
20. 20.Solve: 6y + 3 = 5y + 13. What is y?
21. 21.What is the value of (3/5)⁻¹? =
22. 22.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
23. 23.What is √8281? =
24. 24.What is 40²? =
25. 25.Use a² − b² = (a + b)(a − b) to find 24² − 1².
26. 26.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
27. 27.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
28. 28.What is the value of 2⁴ × 2⁻¹? =
29. 29.Which of these is a perfect square? (a) 437 (b) 428 (c) 400
30. 30.What is the value of 10⁶ × 10⁻¹? =
31. 31.Which of these is a perfect cube? (a) 27 (b) 51 (c) 29
32. 32.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
33. 33.Write (4²)⁸ as a single power 4ⁿ. What is n?
34. 34.A trapezium has an area of 315 square cm. Its parallel sides are 16 cm and 19 cm. What is the distance between them (in cm)?
35. 35.Solve: m/4 + m/5 = 36. What is m?
36. 36.Use (a + b)² = a² + 2ab + b² to find 38².
37. 37.Write 6,90,00,000 in standard form as 6.9 × 10ⁿ. What is n?
38. 38.Which of these is a perfect square? (a) 1521 (b) 1574 (c) 1590
39. 39.What is the value of 2¹ × 2⁻²? =
40. 40.How many whole numbers lie between 37² and 38²?

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