Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 713 · 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 27 must be multiplied to get a perfect square?
2. 2.What is √3025? =
3. 3.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
4. 4.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
6. 6.Solve: 9y + 4 = 2y + 109. What is y?
7. 7.A square garden has an area of 2500 square m. How long is each side (in m)?
8. 8.Find the compound interest on ₹59200 at 25% per year for 3 years, compounded every year (in ₹).
9. 9.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
10. 10.A town has 2000 people. The population grows by 8% every year. What will the population be after 1 year?
11. 11.What is 18²? =
12. 12.Solve: 3y + 1 = y + 21. What is y?
13. 13.Find the value of x² + 2xy + y² when x = 6 and y = 3.
14. 14.Find the value of x² − 2xy + y² when x = 3 and y = 1.
15. 15.How many whole numbers lie between 19² and 20²?
16. 16.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?
17. 17.What is the value of (1/2)⁻¹? =
18. 18.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 19 cm. What is its area (in square cm)?
19. 19.What is 4³? =
20. 20.Use a² − b² = (a + b)(a − b) to find 47² − 32².
21. 21.If a + b = 13 and ab = 30, what is a² + b²?
22. 22.What is the value of 10²? =
23. 23.Use (a + b)(a − b) = a² − b² to find 27 × 13.
24. 24.Find the value of x² + 2xy + y² when x = 3 and y = 2.
25. 25.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
26. 26.Solve: 6(n − 2) = n + 33. What is n?
27. 27.Write 6.5 × 10⁻⁴ as a decimal. =
28. 28.What is ∛1728? =
29. 29.What is the difference between the compound interest and the simple interest on ₹10400 at 20% per year for 2 years (in ₹)?
30. 30.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
31. 31.Which of these is a perfect cube? (a) 1415 (b) 1482 (c) 1331
32. 32.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
33. 33.Solve: x/3 + x/6 = 12. What is x?
34. 34.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
35. 35.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
36. 36.Solve: 3m + 14 = 2m + 27. What is m?
37. 37.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
38. 38.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
40. 40.Use (a − b)² = a² − 2ab + b² to find 83².

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