Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 884 · 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 cuboid is 7 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
2. 2.Solve: n/6 + n/2 = 32. What is n?
3. 3.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
4. 4.Use (a + b)(a − b) = a² − b² to find 99 × 81.
5. 5.What is 10³? =
6. 6.Which of these is a perfect square? (a) 122 (b) 131 (c) 121
7. 7.A square garden has an area of 3136 square m. How long is each side (in m)?
8. 8.Solve: 5(y − 1) = 2y + 4. What is y?
9. 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
10. 10.Write 7⁷ × 7⁴ as a single power 7ⁿ. What is n?
11. 11.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
12. 12.Use (a + b)(a − b) = a² − b² to find 27 × 13.
13. 13.A trapezium has an area of 222 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
14. 14.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
15. 15.Solve: 5(p − 5) = 4p + 10. What is p?
16. 16.Find the value of x² − 2xy + y² when x = 3 and y = 1.
17. 17.What is ∛216? =
18. 18.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
19. 19.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
20. 20.Write (9⁶)⁷ as a single power 9ⁿ. What is n?
21. 21.A square garden has an area of 169 square m. How long is each side (in m)?
22. 22.Which of these is a perfect cube? (a) 1493 (b) 1662 (c) 1331
23. 23.What is the value of 5⁶ × 5⁻²? =
24. 24.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
25. 25.What is the value of 5⁻³ (as a fraction)? =
26. 26.Use (a − b)² = a² − 2ab + b² to find 55².
27. 27.Solve: 5(t − 3) = t + 13. What is t?
28. 28.A scooter is worth ₹39000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
29. 29.Write 8.8 × 10⁻³ as a decimal. =
30. 30.What is √5625? =
31. 31.What is the value of (4/7)⁻¹? =
32. 32.What is 16³? =
33. 33.Write 5.9 × 10⁻² as a decimal. =
34. 34.Use a² − b² = (a + b)(a − b) to find 28² − 1².
35. 35.The length of a rectangle is 9 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
36. 36.What is the value of (1/4)⁻²? =
37. 37.What is the value of 9²? =
38. 38.What is 61²? =
39. 39.A father is 30 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
40. 40.What is 20³? =

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