Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 375 · 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.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
2. 2.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.What is the value of 6⁵? =
4. 4.Use (a + b)² = a² + 2ab + b² to find 102².
5. 5.Write 3.7 × 10⁻² as a decimal. =
6. 6.Solve: t/4 + t/2 = 6. What is t?
7. 7.Find the value of x² + 2xy + y² when x = 3 and y = 1.
8. 8.What is the value of 7³? =
9. 9.A square garden has an area of 225 square m. How long is each side (in m)?
10. 10.Use (a + b)² = a² + 2ab + b² to find 29².
11. 11.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
12. 12.What is 56²? =
13. 13.What is √7569? =
14. 14.A scooter is worth ₹51200. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
15. 15.A room is 8 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.Write 6.6 × 10⁻¹ as a decimal. =
17. 17.What is the value of 3⁷? =
18. 18.What is ∛1000? =
19. 19.How many whole numbers lie between 17² and 18²?
20. 20.A trapezium has an area of 33 square cm. Its parallel sides are 5 cm and 28 cm. What is the distance between them (in cm)?
21. 21.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
22. 22.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
23. 23.Write 9.2 × 10⁻⁴ as a decimal. =
24. 24.What is the difference between the compound interest and the simple interest on ₹48000 at 5% per year for 2 years (in ₹)?
25. 25.Use (a − b)² = a² − 2ab + b² to find 46².
26. 26.What is the value of 2⁻⁹ (as a fraction)? =
27. 27.Use a² − b² = (a + b)(a − b) to find 94² − 51².
28. 28.What amount will ₹16100 grow to in 1 year at 4% per year compound interest (in ₹)?
29. 29.Find the compound interest on ₹2500 at 8% per year for 2 years, compounded every year (in ₹).
30. 30.A town has 54400 people. The population grows by 25% every year. What will the population be after 3 years?
31. 31.Find the value of x² − 2xy + y² when x = 8 and y = 5.
32. 32.Solve: x/3 + x/2 = 5. What is x?
33. 33.Solve: 8m + 20 = 5m + 32. What is m?
34. 34.What is √4761? =
35. 35.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
36. 36.If a + b = 8 and ab = 7, what is a² + b²?
37. 37.Which of these is a perfect cube? (a) 64 (b) 75 (c) 82
38. 38.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
39. 39.Which of these is a perfect square? (a) 258 (b) 256 (c) 270
40. 40.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?

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