Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 597 · 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.Write 360 in standard form as 3.6 × 10ⁿ. What is n?
2. 2.Write (5⁸)³ as a single power 5ⁿ. What is n?
3. 3.Use (a + b)² = a² + 2ab + b² to find 97².
4. 4.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
5. 5.What is ∛27? =
6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
7. 7.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
8. 8.A town has 40000 people. The population grows by 15% every year. What will the population be after 3 years?
9. 9.A town has 42600 people. The population grows by 10% every year. What will the population be after 1 year?
10. 10.A town has 11200 people. The population grows by 15% every year. What will the population be after 2 years?
11. 11.What is ∛729? =
12. 12.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
13. 13.The sum of two consecutive whole numbers is 79. What is the largest of them?
14. 14.What is the value of 3⁵ × 3⁻⁴? =
15. 15.Which of these is a perfect cube? (a) 446 (b) 343 (c) 411
16. 16.7.4 × 10⁷ =
17. 17.How many whole numbers lie between 33² and 34²?
18. 18.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
19. 19.How many whole numbers lie between 7² and 8²?
20. 20.What is the smallest whole number by which 735 must be divided to get a perfect square?
21. 21.Use (a − b)² = a² − 2ab + b² to find 34².
22. 22.If a + b = 18 and ab = 72, what is a² + b²?
23. 23.Solve: 9x + 4 = 3x + 64. What is x?
24. 24.What is 15³? =
25. 25.Which of these is a perfect square? (a) 1089 (b) 1126 (c) 1148
26. 26.Solve: p/2 + p/5 = 21. What is p?
27. 27.What amount will ₹22100 grow to in 1 year at 15% per year compound interest (in ₹)?
28. 28.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
30. 30.Use (a − b)² = a² − 2ab + b² to find 12².
31. 31.Which of these is a perfect cube? (a) 132 (b) 185 (c) 125
32. 32.Solve: x/3 + x/2 = 15. What is x?
33. 33.Solve: 6(n − 5) = 5n + 11. What is n?
34. 34.Solve: 8t + 1 = 7t + 7. What is t?
35. 35.A trapezium has parallel sides of 22 cm and 29 cm, and the distance between them is 8 cm. What is its area (in square cm)?
36. 36.A trapezium has an area of 150 square cm. Its parallel sides are 19 cm and 6 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 12 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
38. 38.Solve: 4p + 9 = 3p + 21. What is p?
39. 39.What is the value of 2⁶ × 2⁻⁵? =
40. 40.A square garden has an area of 784 square m. How long is each side (in m)?

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