Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 915 · 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.A trapezium has an area of 66 square cm. Its parallel sides are 8 cm and 3 cm. What is the distance between them (in cm)?
2. 2.Which of these is a perfect cube? (a) 359 (b) 343 (c) 442
3. 3.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
4. 4.A father is 32 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
5. 5.Solve: x/5 + x/6 = 44. What is x?
6. 6.Write (7²)⁸ as a single power 7ⁿ. What is n?
7. 7.Solve: t/4 + t/2 = 15. What is t?
8. 8.What is the difference between the compound interest and the simple interest on ₹36200 at 10% per year for 2 years (in ₹)?
9. 9.Use (a + b)(a − b) = a² − b² to find 87 × 73.
10. 10.What is √2500? =
11. 11.Use (a − b)² = a² − 2ab + b² to find 39².
12. 12.Write 6⁹ × 6⁵ as a single power 6ⁿ. What is n?
13. 13.What is 38²? =
14. 14.Use (a + b)(a − b) = a² − b² to find 22 × 18.
15. 15.A town has 34200 people. The population grows by 4% every year. What will the population be after 1 year?
16. 16.What is the value of 4⁶? =
17. 17.The sum of four consecutive whole numbers is 238. What is the largest of them?
18. 18.Solve: 9t + 3 = 2t + 87. What is t?
19. 19.What is the difference between the compound interest and the simple interest on ₹25600 at 15% per year for 2 years (in ₹)?
20. 20.A trapezium has an area of 33 square cm. Its parallel sides are 7 cm and 15 cm. What is the distance between them (in cm)?
21. 21.What is the value of 3⁷? =
22. 22.Solve: m/5 + m/2 = 28. What is m?
23. 23.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
24. 24.Find the compound interest on ₹20000 at 12% per year for 2 years, compounded every year (in ₹).
25. 25.A cuboid is 10 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
26. 26.Use a² − b² = (a + b)(a − b) to find 32² − 27².
27. 27.Write 8.8 × 10⁻² as a decimal. =
28. 28.What is 39²? =
29. 29.Write 8.5 × 10⁻³ as a decimal. =
30. 30.Solve: 4y + 5 = y + 17. What is y?
31. 31.A square garden has an area of 169 square m. How long is each side (in m)?
32. 32.Write 2.6 × 10⁻² as a decimal. =
33. 33.Solve: 3x + 4 = x + 28. What is x?
34. 34.What is the difference between the compound interest and the simple interest on ₹46400 at 10% per year for 2 years (in ₹)?
35. 35.If a − b = 1 and ab = 2, what is a² + b²?
36. 36.What is the value of (1/6)⁻¹? =
37. 37.Use (a + b)² = a² + 2ab + b² to find 63².
38. 38.Write 9.2 × 10⁻⁴ as a decimal. =
39. 39.Solve: 5(t − 3) = t + 5. What is t?
40. 40.What is the value of (5/7)⁻²? =

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