Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 854 · 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 5⁵ × 5² as a single power 5ⁿ. What is n?
2. 2.A cuboid is 5 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
3. 3.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
4. 4.Solve: 3(y − 5) = 2y + 7. What is y?
5. 5.Find the compound interest on ₹6400 at 5% per year for 2 years, compounded every year (in ₹).
6. 6.What is the value of 2²? =
7. 7.What is the difference between the compound interest and the simple interest on ₹60000 at 8% per year for 2 years (in ₹)?
8. 8.Solve: 3m + 6 = m + 14. What is m?
9. 9.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
10. 10.A cuboid is 4 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.What is ∛5832? =
12. 12.Write 2.4 × 10⁻³ as a decimal. =
13. 13.If a − b = 10 and ab = 24, what is a² + b²?
14. 14.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
15. 15.A father is 6 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?
16. 16.Write 91,00,000 in standard form as 9.1 × 10ⁿ. What is n?
17. 17.A trapezium has parallel sides of 28 cm and 2 cm, and the distance between them is 20 cm. What is its area (in square cm)?
18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
19. 19.What amount will ₹32100 grow to in 1 year at 5% per year compound interest (in ₹)?
20. 20.A square garden has an area of 256 square m. How long is each side (in m)?
21. 21.What is the difference between the compound interest and the simple interest on ₹36800 at 25% per year for 2 years (in ₹)?
22. 22.Find the compound interest on ₹14400 at 25% per year for 3 years, compounded every year (in ₹).
23. 23.Write 3,80,000 in standard form as 3.8 × 10ⁿ. What is n?
24. 24.Write 1.9 × 10⁻³ as a decimal. =
25. 25.Find the compound interest on ₹10000 at 12% per year for 2 years, compounded every year (in ₹).
26. 26.Use a² − b² = (a + b)(a − b) to find 69² − 45².
27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
28. 28.Use a² − b² = (a + b)(a − b) to find 56² − 42².
29. 29.How many whole numbers lie between 11² and 12²?
30. 30.What is √4900? =
31. 31.Which of these is a perfect cube? (a) 1728 (b) 2089 (c) 1731
32. 32.What amount will ₹35700 grow to in 1 year at 10% per year compound interest (in ₹)?
33. 33.What is the value of 6⁻³ (as a fraction)? =
34. 34.Which of these is a perfect square? (a) 1221 (b) 1208 (c) 1156
35. 35.What is the smallest whole number by which 27 must be divided to get a perfect square?
36. 36.What is the difference between the compound interest and the simple interest on ₹48900 at 10% per year for 2 years (in ₹)?
37. 37.7 × 10² =
38. 38.What is the smallest whole number by which 48 must be multiplied to get a perfect square?
39. 39.Use (a + b)(a − b) = a² − b² to find 91 × 89.
40. 40.What is √5329? =

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