Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 699 · 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.What is the value of (2/7)⁻¹? =
2. 2.What is the smallest whole number by which 12 must be divided to get a perfect square?
3. 3.How many whole numbers lie between 14² and 15²?
4. 4.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
5. 5.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
6. 6.Write 6.8 × 10⁻³ as a decimal. =
7. 7.Solve: 4(x − 1) = 3x + 1. What is x?
8. 8.What is the value of 9⁴? =
9. 9.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
10. 10.What amount will ₹7600 grow to in 2 years at 25% per year compound interest (in ₹)?
11. 11.If a − b = 4 and ab = 45, what is a² + b²?
12. 12.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
13. 13.Use (a + b)² = a² + 2ab + b² to find 24².
14. 14.What is ∛8000? =
15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
16. 16.Write 2 × 10⁻¹ as a decimal. =
17. 17.Find the compound interest on ₹56800 at 5% per year for 1 year, compounded every year (in ₹).
18. 18.A scooter is worth ₹11200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
19. 19.Which of these is a perfect square? (a) 738 (b) 729 (c) 782
20. 20.Use (a + b)² = a² + 2ab + b² to find 51².
21. 21.How many whole numbers lie between 31² and 32²?
22. 22.A scooter is worth ₹37500. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
23. 23.A town has 48000 people. The population grows by 5% every year. What will the population be after 3 years?
24. 24.A town has 4700 people. The population grows by 25% every year. What will the population be after 1 year?
25. 25.Solve: 7n + 5 = n + 17. What is n?
26. 26.What amount will ₹12100 grow to in 1 year at 25% per year compound interest (in ₹)?
27. 27.Write 4.2 × 10⁻³ as a decimal. =
28. 28.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
29. 29.A trapezium has parallel sides of 15 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
30. 30.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
31. 31.What is √5476? =
32. 32.Use a² − b² = (a + b)(a − b) to find 97² − 67².
33. 33.What is the value of (2/3)⁻¹? =
34. 34.What is √729? =
35. 35.Write 8 × 10⁻¹ as a decimal. =
36. 36.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
37. 37.What is the difference between the compound interest and the simple interest on ₹37200 at 25% per year for 2 years (in ₹)?
38. 38.Find the value of x² − 2xy + y² when x = 15 and y = 6.
39. 39.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
40. 40.Use (a − b)² = a² − 2ab + b² to find 87².

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