Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 409 · 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.How many whole numbers lie between 42² and 43²?
2. 2.If a + b = 6 and ab = 8, what is a² + b²?
3. 3.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
4. 4.What is √3969? =
5. 5.Find the value of x² − 2xy + y² when x = 13 and y = 4.
6. 6.A town has 17500 people. The population grows by 4% every year. What will the population be after 2 years?
7. 7.What is 12³? =
8. 8.Use (a − b)² = a² − 2ab + b² to find 17².
9. 9.Write 4,300 in standard form as 4.3 × 10ⁿ. What is n?
10. 10.What is the value of 3³ × 3⁻³? =
11. 11.What is the smallest whole number by which 176 must be multiplied to get a perfect square?
12. 12.The sum of three consecutive whole numbers is 75. What is the smallest of them?
13. 13.What amount will ₹8800 grow to in 1 year at 25% per year compound interest (in ₹)?
14. 14.The sum of four consecutive whole numbers is 114. What is the smallest of them?
15. 15.A father is 16 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 is the value of 2³ × 2⁻²? =
17. 17.What is the value of (3/7)⁻²? =
18. 18.A trapezium has parallel sides of 7 cm and 3 cm, and the distance between them is 5 cm. What is its area (in square cm)?
19. 19.What is √5041? =
20. 20.Write 71,000 in standard form as 7.1 × 10ⁿ. What is n?
21. 21.A scooter is worth ₹10000. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
22. 22.The diagonals of a rhombus are 22 cm and 10 cm. What is its area (in square cm)?
23. 23.What amount will ₹33000 grow to in 3 years at 10% per year compound interest (in ₹)?
24. 24.Solve: 6(y − 5) = 3y + 27. What is y?
25. 25.8.7 × 10⁴ =
26. 26.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
27. 27.Write (8⁸)⁸ as a single power 8ⁿ. What is n?
28. 28.Use a² − b² = (a + b)(a − b) to find 42² − 11².
29. 29.Use (a + b)(a − b) = a² − b² to find 51 × 49.
30. 30.Which of these is a perfect cube? (a) 596 (b) 512 (c) 637
31. 31.A cuboid is 13 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
32. 32.5 × 10⁵ =
33. 33.If a − b = 4 and ab = 96, what is a² + b²?
34. 34.Solve: n/3 + n/2 = 15. What is n?
35. 35.Write 1.5 × 10⁻¹ as a decimal. =
36. 36.How many whole numbers lie between 33² and 34²?
37. 37.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
38. 38.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
39. 39.Solve: p/3 + p/5 = 56. What is p?
40. 40.How many whole numbers lie between 41² and 42²?

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