Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 811 · 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.Which of these is a perfect square? (a) 169 (b) 183 (c) 191
2. 2.A father is 27 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?
3. 3.What is 52²? =
4. 4.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
5. 5.If a + b = 23 and ab = 132, what is a² + b²?
6. 6.What is 10³? =
7. 7.Use (a − b)² = a² − 2ab + b² to find 23².
8. 8.A square garden has an area of 1296 square m. How long is each side (in m)?
9. 9.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
10. 10.What amount will ₹15900 grow to in 1 year at 20% per year compound interest (in ₹)?
11. 11.What is the smallest whole number by which 810 must be multiplied to get a perfect square?
12. 12.What is the difference between the compound interest and the simple interest on ₹54100 at 10% per year for 2 years (in ₹)?
13. 13.A trapezium has an area of 111 square cm. Its parallel sides are 10 cm and 27 cm. What is the distance between them (in cm)?
14. 14.Which of these is a perfect square? (a) 1521 (b) 1565 (c) 1545
15. 15.A trapezium has parallel sides of 5 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
16. 16.Which of these is a perfect square? (a) 337 (b) 334 (c) 324
17. 17.What is the value of (2/9)⁻²? =
18. 18.What is √529? =
19. 19.What is ∛125? =
20. 20.Solve: n/4 + n/2 = 15. What is n?
21. 21.The sum of three consecutive whole numbers is 150. What is the largest of them?
22. 22.What is ∛2744? =
23. 23.Use (a + b)² = a² + 2ab + b² to find 65².
24. 24.What is 71²? =
25. 25.Use (a − b)² = a² − 2ab + b² to find 87².
26. 26.Write 1.9 × 10⁻¹ as a decimal. =
27. 27.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
29. 29.A trapezium has parallel sides of 25 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
30. 30.Find the compound interest on ₹8000 at 25% per year for 2 years, compounded every year (in ₹).
31. 31.What is √5776? =
32. 32.What amount will ₹44900 grow to in 1 year at 5% per year compound interest (in ₹)?
33. 33.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
34. 34.Solve: 8p + 4 = 4p + 24. What is p?
35. 35.Write 850 in standard form as 8.5 × 10ⁿ. What is n?
36. 36.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
37. 37.What is 20³? =
38. 38.Write 5 × 10⁻² as a decimal. =
39. 39.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
40. 40.A cuboid is 15 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?

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