Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 782 · 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.If a + b = 8 and ab = 12, what is a² + b²?
2. 2.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
3. 3.A cuboid is 8 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.What is the value of 7⁴? =
5. 5.A town has 35200 people. The population grows by 5% every year. What will the population be after 1 year?
6. 6.Which of these is a perfect square? (a) 141 (b) 143 (c) 121
7. 7.Solve: 3m + 2 = 2m + 11. What is m?
8. 8.What amount will ₹35000 grow to in 2 years at 8% per year compound interest (in ₹)?
9. 9.What is ∛1000? =
10. 10.Find the value of x² + 2xy + y² when x = 11 and y = 10.
11. 11.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
13. 13.What is the value of 5⁴? =
14. 14.The sum of two consecutive whole numbers is 33. What is the smallest of them?
15. 15.What is the value of 3² × 3⁻⁵? =
16. 16.What is the difference between the compound interest and the simple interest on ₹57100 at 10% per year for 2 years (in ₹)?
17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
18. 18.Write (2⁹)⁵ as a single power 2ⁿ. What is n?
19. 19.The diagonals of a rhombus are 10 cm and 28 cm. What is its area (in square cm)?
20. 20.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
21. 21.Write 440 in standard form as 4.4 × 10ⁿ. What is n?
22. 22.9.1 × 10³ =
23. 23.What is the smallest whole number by which 1053 must be multiplied to get a perfect square?
24. 24.What is the smallest whole number by which 832 must be multiplied to get a perfect square?
25. 25.What is the value of 5⁶? =
26. 26.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
27. 27.A trapezium has parallel sides of 4 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
28. 28.What amount will ₹43100 grow to in 1 year at 25% per year compound interest (in ₹)?
29. 29.What is the smallest whole number by which 60 must be multiplied to get a perfect square?
30. 30.What is the value of 3¹⁰? =
31. 31.What is 77²? =
32. 32.What is the smallest whole number by which 52 must be divided to get a perfect square?
33. 33.Write 8⁵ × 8⁹ as a single power 8ⁿ. What is n?
34. 34.What is ∛2744? =
35. 35.How many whole numbers lie between 40² and 41²?
36. 36.Which of these is a perfect square? (a) 1400 (b) 1369 (c) 1372
37. 37.Write 4⁸ × 4⁶ as a single power 4ⁿ. What is n?
38. 38.If a + b = 14 and ab = 48, what is a² + b²?
39. 39.The sum of two consecutive whole numbers is 29. What is the smallest of them?
40. 40.What is the value of 3²? =

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