Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 682 · 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.Which of these is a perfect cube? (a) 589 (b) 670 (c) 512
2. 2.A cuboid is 13 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
3. 3.If a + b = 6 and ab = 8, what is a² + b²?
4. 4.A trapezium has parallel sides of 24 cm and 19 cm, and the distance between them is 12 cm. What is its area (in square cm)?
5. 5.Use (a + b)² = a² + 2ab + b² to find 95².
6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
7. 7.Solve: p/3 + p/2 = 20. What is p?
8. 8.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
9. 9.Use (a + b)² = a² + 2ab + b² to find 101².
10. 10.Find the compound interest on ₹22000 at 25% per year for 2 years, compounded every year (in ₹).
11. 11.Which of these is a perfect cube? (a) 31 (b) 27 (c) 44
12. 12.Use (a − b)² = a² − 2ab + b² to find 58².
13. 13.Use (a − b)² = a² − 2ab + b² to find 92².
14. 14.What is the smallest whole number by which 48 must be multiplied to get a perfect square?
15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
16. 16.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.What is 9³? =
18. 18.What is the difference between the compound interest and the simple interest on ₹60000 at 5% per year for 2 years (in ₹)?
19. 19.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
20. 20.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
21. 21.Write 5 × 10⁻² as a decimal. =
22. 22.A trapezium has parallel sides of 22 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
23. 23.What is the value of 2⁻⁶ (as a fraction)? =
24. 24.A trapezium has parallel sides of 19 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
25. 25.Write (5⁴)⁴ as a single power 5ⁿ. What is n?
26. 26.Find the compound interest on ₹32800 at 15% per year for 2 years, compounded every year (in ₹).
27. 27.A town has 16300 people. The population grows by 5% every year. What will the population be after 1 year?
28. 28.What amount will ₹48000 grow to in 3 years at 20% per year compound interest (in ₹)?
29. 29.What is √225? =
30. 30.Use (a + b)(a − b) = a² − b² to find 84 × 76.
31. 31.What is 5³? =
32. 32.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
33. 33.A square garden has an area of 25 square m. How long is each side (in m)?
34. 34.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
35. 35.Solve: 9t + 16 = 8t + 23. What is t?
36. 36.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.A trapezium has parallel sides of 23 cm and 17 cm, and the distance between them is 17 cm. What is its area (in square cm)?
38. 38.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
39. 39.Find the compound interest on ₹22200 at 15% per year for 1 year, compounded every year (in ₹).
40. 40.Solve: x/3 + x/2 = 10. What is x?

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