Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 411 · 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.What is the smallest whole number by which 117 must be divided to get a perfect square?
2. 2.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 61².
4. 4.How many whole numbers lie between 25² and 26²?
5. 5.How many whole numbers lie between 41² and 42²?
6. 6.Find the compound interest on ₹38200 at 10% per year for 2 years, compounded every year (in ₹).
7. 7.Write 4¹⁶ ÷ 4⁸ as a single power 4ⁿ. What is n?
8. 8.What is 60²? =
9. 9.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.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?
12. 12.A trapezium has an area of 360 square cm. Its parallel sides are 12 cm and 28 cm. What is the distance between them (in cm)?
13. 13.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
14. 14.What is the value of 2¹¹? =
15. 15.A trapezium has an area of 143 square cm. Its parallel sides are 9 cm and 17 cm. What is the distance between them (in cm)?
16. 16.How many whole numbers lie between 46² and 47²?
17. 17.What is the value of (8/9)⁻¹? =
18. 18.What amount will ₹4400 grow to in 1 year at 20% per year compound interest (in ₹)?
19. 19.What is ∛125? =
20. 20.A town has 58300 people. The population grows by 4% every year. What will the population be after 1 year?
21. 21.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
22. 22.9.3 × 10² =
23. 23.What is √4624? =
24. 24.How many whole numbers lie between 44² and 45²?
25. 25.What amount will ₹19600 grow to in 2 years at 20% per year compound interest (in ₹)?
26. 26.Which of these is a perfect square? (a) 208 (b) 196 (c) 202
27. 27.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
28. 28.Use (a + b)² = a² + 2ab + b² to find 15².
29. 29.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
30. 30.Use (a + b)(a − b) = a² − b² to find 38 × 22.
31. 31.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
32. 32.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
33. 33.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
34. 34.What is the value of 3⁸? =
35. 35.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
36. 36.What is ∛729? =
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
38. 38.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
39. 39.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
40. 40.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?

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