Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 735 · 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 9,70,000 in standard form as 9.7 × 10ⁿ. What is n?
2. 2.What is the difference between the compound interest and the simple interest on ₹47500 at 20% per year for 2 years (in ₹)?
3. 3.Solve: 5x + 13 = 3x + 27. What is x?
4. 4.What is the smallest whole number by which 135 must be multiplied to get a perfect square?
5. 5.Which of these is a perfect cube? (a) 64 (b) 109 (c) 88
6. 6.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
7. 7.What is the value of (7/8)⁻¹? =
8. 8.What is the smallest whole number by which 448 must be divided to get a perfect cube?
9. 9.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.What is the difference between the compound interest and the simple interest on ₹18300 at 10% per year for 2 years (in ₹)?
11. 11.A square garden has an area of 3025 square m. How long is each side (in m)?
12. 12.A trapezium has an area of 248 square cm. Its parallel sides are 5 cm and 26 cm. What is the distance between them (in cm)?
13. 13.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
14. 14.Solve: 3m + 16 = m + 22. What is m?
15. 15.A trapezium has parallel sides of 25 cm and 17 cm, and the distance between them is 9 cm. What is its area (in square cm)?
16. 16.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
17. 17.The sum of two consecutive whole numbers is 43. What is the smallest of them?
18. 18.Write 49,000 in standard form as 4.9 × 10ⁿ. What is n?
19. 19.Solve: y/3 + y/5 = 24. What is y?
20. 20.If a − b = 6 and ab = 16, what is a² + b²?
21. 21.Use (a − b)² = a² − 2ab + b² to find 25².
22. 22.Which of these is a perfect square? (a) 1117 (b) 1154 (c) 1089
23. 23.What amount will ₹11200 grow to in 3 years at 25% per year compound interest (in ₹)?
24. 24.Find the value of x² − 2xy + y² when x = 4 and y = 2.
25. 25.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
26. 26.Find the compound interest on ₹50000 at 12% per year for 2 years, compounded every year (in ₹).
27. 27.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
28. 28.Which of these is a perfect square? (a) 913 (b) 900 (c) 944
29. 29.The sum of three consecutive whole numbers is 123. What is the largest of them?
30. 30.Find the value of x² + 2xy + y² when x = 12 and y = 8.
31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
32. 32.A trapezium has an area of 234 square cm. Its parallel sides are 24 cm and 15 cm. What is the distance between them (in cm)?
33. 33.The sum of two consecutive whole numbers is 33. What is the largest of them?
34. 34.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
35. 35.A scooter is worth ₹3000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
36. 36.If a + b = 9 and ab = 20, what is a² + b²?
37. 37.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
38. 38.If a + b = 6 and ab = 8, what is a² + b²?
39. 39.Write 3.7 × 10⁻¹ as a decimal. =
40. 40.What is the value of 2³ × 2⁻⁴? =

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