Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 300 · 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.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
3. 3.Solve: 3(m − 1) = 2m + 9. What is m?
4. 4.What is the smallest whole number by which 504 must be multiplied to get a perfect square?
5. 5.A father is 18 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
6. 6.Use (a + b)(a − b) = a² − b² to find 51 × 49.
7. 7.What is the value of 2⁶? =
8. 8.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
9. 9.What is √2601? =
10. 10.Find the value of x² + 2xy + y² when x = 5 and y = 2.
11. 11.Solve: t/5 + t/4 = 54. What is t?
12. 12.The sum of two consecutive whole numbers is 121. What is the largest of them?
13. 13.What is the value of 10⁴ × 10⁻¹? =
14. 14.A town has 6000 people. The population grows by 20% every year. What will the population be after 3 years?
15. 15.What is the value of 2⁶ × 2⁻³? =
16. 16.A town has 57600 people. The population grows by 25% every year. What will the population be after 3 years?
17. 17.Solve: 3(y − 5) = 2y + 11. What is y?
18. 18.If a + b = 10 and ab = 21, what is a² + b²?
19. 19.Find the compound interest on ₹18400 at 5% per year for 2 years, compounded every year (in ₹).
20. 20.What is the value of 5⁴ × 5⁻¹? =
21. 21.What is √3025? =
22. 22.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
23. 23.What is the difference between the compound interest and the simple interest on ₹58100 at 20% per year for 2 years (in ₹)?
24. 24.What is ∛27? =
25. 25.What is the difference between the compound interest and the simple interest on ₹4000 at 20% per year for 2 years (in ₹)?
26. 26.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
27. 27.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
29. 29.Solve: m/6 + m/3 = 18. What is m?
30. 30.3.6 × 10³ =
31. 31.What is the value of 2⁷? =
32. 32.Find the value of x² − 2xy + y² when x = 4 and y = 3.
33. 33.A cuboid is 5 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
34. 34.A town has 20000 people. The population grows by 4% every year. What will the population be after 2 years?
35. 35.Find the compound interest on ₹12800 at 15% per year for 1 year, compounded every year (in ₹).
36. 36.What amount will ₹48000 grow to in 3 years at 15% per year compound interest (in ₹)?
37. 37.What is the smallest whole number by which 320 must be divided to get a perfect cube?
38. 38.What amount will ₹25000 grow to in 2 years at 12% per year compound interest (in ₹)?
39. 39.Which of these is a perfect cube? (a) 412 (b) 432 (c) 343
40. 40.What is 19³? =

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