Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 570 · 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 difference between the compound interest and the simple interest on ₹56800 at 5% per year for 2 years (in ₹)?
2. 2.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
3. 3.Which of these is a perfect square? (a) 145 (b) 155 (c) 144
4. 4.Which of these is a perfect square? (a) 1488 (b) 1444 (c) 1449
5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
6. 6.Find the value of x² + 2xy + y² when x = 11 and y = 1.
7. 7.A trapezium has an area of 231 square cm. Its parallel sides are 20 cm and 22 cm. What is the distance between them (in cm)?
8. 8.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
9. 9.What amount will ₹26000 grow to in 3 years at 10% per year compound interest (in ₹)?
10. 10.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.Write 3.3 × 10⁻³ as a decimal. =
12. 12.What is the value of 10⁶ × 10⁻²? =
13. 13.Use (a + b)(a − b) = a² − b² to find 85 × 75.
14. 14.What amount will ₹27200 grow to in 2 years at 25% per year compound interest (in ₹)?
15. 15.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
16. 16.What is √361? =
17. 17.Solve: p/3 + p/4 = 21. What is p?
18. 18.A trapezium has an area of 216 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
19. 19.A square garden has an area of 2601 square m. How long is each side (in m)?
20. 20.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
21. 21.Find the value of x² − y² when x = 8 and y = 7.
22. 22.Find the value of x² + 2xy + y² when x = 6 and y = 3.
23. 23.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
24. 24.What is √6400? =
25. 25.Find the compound interest on ₹27700 at 20% per year for 2 years, compounded every year (in ₹).
26. 26.A trapezium has an area of 200 square cm. Its parallel sides are 18 cm and 2 cm. What is the distance between them (in cm)?
27. 27.What is the value of 8⁵? =
28. 28.A town has 35500 people. The population grows by 20% every year. What will the population be after 3 years?
29. 29.What is √1024? =
30. 30.A cuboid is 14 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
31. 31.What is the difference between the compound interest and the simple interest on ₹51200 at 5% per year for 2 years (in ₹)?
32. 32.Use (a + b)² = a² + 2ab + b² to find 28².
33. 33.Solve: 6t + 10 = 3t + 52. What is t?
34. 34.A trapezium has parallel sides of 4 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
35. 35.Write 9¹² ÷ 9⁷ as a single power 9ⁿ. What is n?
36. 36.Which of these is a perfect square? (a) 1225 (b) 1227 (c) 1270
37. 37.What is ∛64? =
38. 38.What is the value of 10⁵ × 10⁻⁴? =
39. 39.A scooter is worth ₹57600. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
40. 40.Write 6.4 × 10⁻² as a decimal. =

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