Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 303 · 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 smallest whole number by which 125 must be divided to get a perfect square?
2. 2.If a + b = 4 and ab = 3, what is a² + b²?
3. 3.Find the value of x² − y² when x = 5 and y = 2.
4. 4.What is the value of 3⁸? =
5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
6. 6.Solve: t/6 + t/3 = 3. What is t?
7. 7.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
8. 8.The sum of four consecutive whole numbers is 114. What is the largest of them?
9. 9.If a − b = 2 and ab = 8, what is a² + b²?
10. 10.Which of these is a perfect cube? (a) 343 (b) 411 (c) 457
11. 11.What is the value of 2³ × 2⁻²? =
12. 12.A scooter is worth ₹44400. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
13. 13.Which of these is a perfect cube? (a) 172 (b) 143 (c) 125
14. 14.Write 4.8 × 10⁻⁴ as a decimal. =
15. 15.A father is 22 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?
16. 16.What amount will ₹6800 grow to in 2 years at 15% per year compound interest (in ₹)?
17. 17.A cuboid is 6 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
18. 18.What is ∛216? =
19. 19.A cuboid is 4 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
20. 20.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
21. 21.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
22. 22.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
23. 23.Solve: 5(x − 1) = 4x + 11. What is x?
24. 24.2 × 10⁴ =
25. 25.Find the value of x² − 2xy + y² when x = 13 and y = 2.
26. 26.Solve: 9n + 10 = 7n + 34. What is n?
27. 27.What amount will ₹48000 grow to in 3 years at 10% per year compound interest (in ₹)?
28. 28.How many whole numbers lie between 7² and 8²?
29. 29.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
30. 30.What amount will ₹34000 grow to in 1 year at 15% per year compound interest (in ₹)?
31. 31.A town has 54000 people. The population grows by 20% every year. What will the population be after 2 years?
32. 32.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
33. 33.Write 3¹⁴ ÷ 3⁹ as a single power 3ⁿ. What is n?
34. 34.What is ∛6859? =
35. 35.Which of these is a perfect cube? (a) 1732 (b) 2013 (c) 1728
36. 36.Write 8.3 × 10⁻⁴ as a decimal. =
37. 37.A town has 7500 people. The population grows by 12% every year. What will the population be after 2 years?
38. 38.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
39. 39.Use (a + b)² = a² + 2ab + b² to find 18².
40. 40.What is the value of (2/7)⁻²? =

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