Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 772 · 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.A trapezium has parallel sides of 23 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
2. 2.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
3. 3.A father is 24 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?
4. 4.A scooter is worth ₹15200. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
5. 5.A cuboid is 7 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
6. 6.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
7. 7.What is the difference between the compound interest and the simple interest on ₹4500 at 10% per year for 2 years (in ₹)?
8. 8.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
9. 9.What amount will ₹33800 grow to in 2 years at 10% per year compound interest (in ₹)?
10. 10.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.What is the value of 8⁴? =
12. 12.What is √1089? =
13. 13.Which of these is a perfect cube? (a) 125 (b) 155 (c) 192
14. 14.What is √2209? =
15. 15.What is ∛12167? =
16. 16.Write 7 × 10⁻¹ as a decimal. =
17. 17.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
18. 18.A trapezium has an area of 266 square cm. Its parallel sides are 5 cm and 23 cm. What is the distance between them (in cm)?
19. 19.Use (a + b)² = a² + 2ab + b² to find 41².
20. 20.What is the difference between the compound interest and the simple interest on ₹44000 at 25% per year for 2 years (in ₹)?
21. 21.If a − b = 1 and ab = 2, what is a² + b²?
22. 22.A square garden has an area of 1521 square m. How long is each side (in m)?
23. 23.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
25. 25.What is ∛64? =
26. 26.A square garden has an area of 100 square m. How long is each side (in m)?
27. 27.What amount will ₹51200 grow to in 2 years at 10% per year compound interest (in ₹)?
28. 28.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
29. 29.Use a² − b² = (a + b)(a − b) to find 69² − 58².
30. 30.A trapezium has parallel sides of 16 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
31. 31.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
32. 32.What is √3844? =
33. 33.If a + b = 10 and ab = 21, what is a² + b²?
34. 34.Find the compound interest on ₹51900 at 12% per year for 1 year, compounded every year (in ₹).
35. 35.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
36. 36.What is the value of (1/4)⁻²? =
37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
38. 38.Which of these is a perfect cube? (a) 43 (b) 28 (c) 27
39. 39.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
40. 40.What is the smallest whole number by which 640 must be divided to get a perfect square?

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