Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 88 · 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 square? (a) 1204 (b) 1191 (c) 1156
2. 2.What is the difference between the compound interest and the simple interest on ₹45900 at 20% per year for 2 years (in ₹)?
3. 3.A father is 30 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
4. 4.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
5. 5.A father is 16 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
6. 6.If a + b = 3 and ab = 2, what is a² + b²?
7. 7.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
8. 8.A square garden has an area of 400 square m. How long is each side (in m)?
9. 9.What is the value of 5² × 5⁻²? =
10. 10.Solve: 4p + 5 = p + 47. What is p?
11. 11.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
13. 13.Which of these is a perfect square? (a) 138 (b) 121 (c) 143
14. 14.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
15. 15.What is 11³? =
16. 16.Use a² − b² = (a + b)(a − b) to find 86² − 81².
17. 17.Write 3.2 × 10⁻¹ as a decimal. =
18. 18.A father is 12 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
19. 19.Solve: 5(t − 1) = 2t + 4. What is t?
20. 20.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
21. 21.Solve: 5(m − 2) = 3m + 2. What is m?
22. 22.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
23. 23.What is 5³? =
24. 24.Write 9.5 × 10⁻¹ as a decimal. =
25. 25.A trapezium has an area of 90 square cm. Its parallel sides are 18 cm and 2 cm. What is the distance between them (in cm)?
26. 26.What is the difference between the compound interest and the simple interest on ₹32400 at 10% per year for 2 years (in ₹)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 56².
28. 28.Write 2.4 × 10⁻² as a decimal. =
29. 29.What is the value of 10⁵ × 10⁻¹? =
30. 30.What is ∛8? =
31. 31.A trapezium has parallel sides of 28 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
32. 32.Solve: m/6 + m/3 = 9. What is m?
33. 33.Find the compound interest on ₹24800 at 5% per year for 2 years, compounded every year (in ₹).
34. 34.If a − b = 2 and ab = 120, what is a² + b²?
35. 35.Use (a − b)² = a² − 2ab + b² to find 12².
36. 36.Solve: 7y + 20 = y + 62. What is y?
37. 37.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
38. 38.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
39. 39.A father is 26 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
40. 40.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?

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