Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 945 · 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 scooter is worth ₹46000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
2. 2.Use (a + b)(a − b) = a² − b² to find 78 × 62.
3. 3.Find the value of x² − 2xy + y² when x = 8 and y = 5.
4. 4.Use (a − b)² = a² − 2ab + b² to find 27².
5. 5.How many whole numbers lie between 32² and 33²?
6. 6.Use (a + b)² = a² + 2ab + b² to find 26².
7. 7.Find the value of x² − y² when x = 3 and y = 1.
8. 8.Write 9.4 × 10⁻¹ as a decimal. =
9. 9.What amount will ₹34100 grow to in 2 years at 10% per year compound interest (in ₹)?
10. 10.How many whole numbers lie between 18² and 19²?
11. 11.Which of these is a perfect cube? (a) 53 (b) 44 (c) 27
12. 12.A cuboid is 11 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
13. 13.A trapezium has parallel sides of 28 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
14. 14.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
15. 15.What is √1444? =
16. 16.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
17. 17.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
18. 18.A cuboid is 11 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
19. 19.Write 3¹³ ÷ 3⁷ as a single power 3ⁿ. What is n?
20. 20.A scooter is worth ₹17600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
21. 21.Solve: 3(y − 1) = 2y + 9. What is y?
22. 22.How many whole numbers lie between 35² and 36²?
23. 23.What is ∛9261? =
24. 24.Write (2⁴)² as a single power 2ⁿ. What is n?
25. 25.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
26. 26.Use a² − b² = (a + b)(a − b) to find 44² − 39².
27. 27.Write 4⁴ × 4⁴ as a single power 4ⁿ. What is n?
28. 28.Solve: 5(m − 1) = 2m + 37. What is m?
29. 29.If a + b = 4 and ab = 3, what is a² + b²?
30. 30.Solve: y/3 + y/5 = 40. What is y?
31. 31.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.A cuboid is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.What is the difference between the compound interest and the simple interest on ₹52400 at 25% per year for 2 years (in ₹)?
34. 34.What amount will ₹23400 grow to in 1 year at 20% per year compound interest (in ₹)?
35. 35.Use (a − b)² = a² − 2ab + b² to find 59².
36. 36.Use (a + b)² = a² + 2ab + b² to find 32².
37. 37.Solve: x/2 + x/3 = 15. What is x?
38. 38.What is 14³? =
39. 39.The sum of three consecutive whole numbers is 33. What is the smallest of them?
40. 40.Which of these is a perfect cube? (a) 216 (b) 311 (c) 285

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