Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 515 · 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.Use (a − b)² = a² − 2ab + b² to find 26².
2. 2.Use (a + b)² = a² + 2ab + b² to find 107².
3. 3.Which of these is a perfect cube? (a) 3822 (b) 3867 (c) 3375
4. 4.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
5. 5.How many whole numbers lie between 14² and 15²?
6. 6.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
7. 7.Solve: p/6 + p/2 = 24. What is p?
8. 8.Write 5.1 × 10⁻⁴ as a decimal. =
9. 9.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
10. 10.What amount will ₹36000 grow to in 2 years at 25% per year compound interest (in ₹)?
11. 11.A cuboid is 14 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
12. 12.Solve: 3(t − 2) = t + 12. What is t?
13. 13.Which of these is a perfect square? (a) 970 (b) 961 (c) 1002
14. 14.Find the compound interest on ₹38000 at 15% per year for 2 years, compounded every year (in ₹).
15. 15.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
16. 16.What is the value of 10⁶ × 10⁻³? =
17. 17.A room is 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.What is √2401? =
19. 19.What is the value of 2⁶ × 2⁻⁵? =
20. 20.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
21. 21.Which of these is a perfect cube? (a) 27 (b) 28 (c) 49
22. 22.A town has 56500 people. The population grows by 20% every year. What will the population be after 2 years?
23. 23.Write 5⁷ × 5⁷ as a single power 5ⁿ. What is n?
24. 24.What is √784? =
25. 25.What is the value of 3⁵ × 3⁻⁴? =
26. 26.A square garden has an area of 169 square m. How long is each side (in m)?
27. 27.3.5 × 10⁷ =
28. 28.What is 7³? =
29. 29.Which of these is a perfect cube? (a) 2144 (b) 1973 (c) 1728
30. 30.Find the compound interest on ₹47600 at 15% per year for 2 years, compounded every year (in ₹).
31. 31.Use (a + b)² = a² + 2ab + b² to find 72².
32. 32.A square garden has an area of 2500 square m. How long is each side (in m)?
33. 33.Which of these is a perfect square? (a) 789 (b) 785 (c) 784
34. 34.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
35. 35.5.3 × 10⁴ =
36. 36.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
37. 37.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
38. 38.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
39. 39.Use a² − b² = (a + b)(a − b) to find 31² − 9².
40. 40.A trapezium has parallel sides of 7 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?

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