Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 960 · 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.Solve: 6(y − 1) = 5y + 1. What is y?
2. 2.Which of these is a perfect square? (a) 854 (b) 867 (c) 841
3. 3.A scooter is worth ₹16000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
4. 4.Write 6.4 × 10⁻³ as a decimal. =
5. 5.What is the value of 5⁷? =
6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
7. 7.What is the value of 9⁻¹ (as a fraction)? =
8. 8.A father is 33 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?
9. 9.Solve: y/5 + y/3 = 48. What is y?
10. 10.A scooter is worth ₹52500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
11. 11.What amount will ₹8500 grow to in 3 years at 20% per year compound interest (in ₹)?
12. 12.Find the value of x² + 2xy + y² when x = 4 and y = 3.
13. 13.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
14. 14.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
15. 15.What is the difference between the compound interest and the simple interest on ₹29600 at 25% per year for 2 years (in ₹)?
16. 16.What amount will ₹38000 grow to in 2 years at 10% per year compound interest (in ₹)?
17. 17.Find the compound interest on ₹50500 at 20% per year for 3 years, compounded every year (in ₹).
18. 18.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
19. 19.What amount will ₹6000 grow to in 2 years at 15% per year compound interest (in ₹)?
20. 20.What is the value of 2⁶ × 2⁻²? =
21. 21.What is the value of 2⁴ × 2⁻⁵? =
22. 22.The sum of four consecutive whole numbers is 194. What is the largest of them?
23. 23.If a + b = 10 and ab = 9, what is a² + b²?
24. 24.Solve: n/2 + n/3 = 5. What is n?
25. 25.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
26. 26.A father is 57 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?
27. 27.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
28. 28.Which of these is a perfect square? (a) 400 (b) 433 (c) 403
29. 29.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
30. 30.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
31. 31.What amount will ₹51700 grow to in 1 year at 20% per year compound interest (in ₹)?
32. 32.A room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.A room is 8 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.1.4 × 10⁷ =
35. 35.Use a² − b² = (a + b)(a − b) to find 96² − 43².
36. 36.Use a² − b² = (a + b)(a − b) to find 21² − 16².
37. 37.Find the compound interest on ₹24500 at 5% per year for 1 year, compounded every year (in ₹).
38. 38.What is the value of (1/9)⁻¹? =
39. 39.What is the value of 5⁴? =
40. 40.Find the compound interest on ₹56600 at 4% per year for 1 year, compounded every year (in ₹).

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