Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 512 · 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.The diagonals of a rhombus are 14 cm and 27 cm. What is its area (in square cm)?
2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
3. 3.Solve: 3(y − 2) = y + 8. What is y?
4. 4.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
5. 5.What is 79²? =
6. 6.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.What is the smallest whole number by which 245 must be divided to get a perfect square?
8. 8.What is the value of 5³? =
9. 9.What is 88²? =
10. 10.Use (a + b)(a − b) = a² − b² to find 81 × 79.
11. 11.A town has 25800 people. The population grows by 15% every year. What will the population be after 1 year?
12. 12.What is the value of 2⁵ × 2⁻⁴? =
13. 13.What is 39²? =
14. 14.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
15. 15.Use a² − b² = (a + b)(a − b) to find 89² − 88².
16. 16.A room is 7 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
18. 18.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
19. 19.What is the smallest whole number by which 240 must be multiplied to get a perfect square?
20. 20.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
21. 21.Which of these is a perfect square? (a) 343 (b) 324 (c) 331
22. 22.A cuboid is 7 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
23. 23.Use (a − b)² = a² − 2ab + b² to find 52².
24. 24.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
25. 25.If a − b = 6 and ab = 27, what is a² + b²?
26. 26.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
27. 27.What is the value of (2/7)⁻²? =
28. 28.What is ∛1728? =
29. 29.How many whole numbers lie between 47² and 48²?
30. 30.A trapezium has an area of 290 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
31. 31.What is the value of 2⁶? =
32. 32.What is √2704? =
33. 33.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?
34. 34.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
35. 35.Use (a + b)(a − b) = a² − b² to find 47 × 33.
36. 36.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
37. 37.What is the smallest whole number by which 375 must be divided to get a perfect square?
38. 38.A scooter is worth ₹37600. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
39. 39.What is the value of 3¹⁰? =
40. 40.What is the difference between the compound interest and the simple interest on ₹17100 at 10% per year for 2 years (in ₹)?

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