Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 900 · 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 square garden has an area of 121 square m. How long is each side (in m)?
2. 2.If a − b = 1 and ab = 2, what is a² + b²?
3. 3.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
4. 4.Use (a + b)(a − b) = a² − b² to find 83 × 77.
5. 5.What is the smallest whole number by which 704 must be multiplied to get a perfect square?
6. 6.What is the value of 8⁴? =
7. 7.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
8. 8.What is 78²? =
9. 9.A cuboid is 12 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
10. 10.What is 34²? =
11. 11.Use (a − b)² = a² − 2ab + b² to find 65².
12. 12.What amount will ₹25000 grow to in 2 years at 8% per year compound interest (in ₹)?
13. 13.The diagonals of a rhombus are 24 cm and 15 cm. What is its area (in square cm)?
14. 14.Use (a + b)(a − b) = a² − b² to find 94 × 86.
15. 15.Which of these is a perfect cube? (a) 196 (b) 125 (c) 194
16. 16.Use (a − b)² = a² − 2ab + b² to find 21².
17. 17.A trapezium has an area of 14 square cm. Its parallel sides are 6 cm and 8 cm. What is the distance between them (in cm)?
18. 18.A town has 12500 people. The population grows by 12% every year. What will the population be after 2 years?
19. 19.A square garden has an area of 1936 square m. How long is each side (in m)?
20. 20.What is the value of 10¹ × 10⁻²? =
21. 21.Solve: n/5 + n/2 = 7. What is n?
22. 22.Use (a + b)² = a² + 2ab + b² to find 77².
23. 23.Which of these is a perfect cube? (a) 40 (b) 27 (c) 43
24. 24.A scooter is worth ₹46000. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
25. 25.Write 5² × 5⁴ as a single power 5ⁿ. What is n?
26. 26.The sum of four consecutive whole numbers is 202. What is the largest of them?
27. 27.Use (a − b)² = a² − 2ab + b² to find 18².
28. 28.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
29. 29.Which of these is a perfect square? (a) 174 (b) 169 (c) 175
30. 30.Which of these is a perfect square? (a) 131 (b) 136 (c) 121
31. 31.Use (a + b)² = a² + 2ab + b² to find 43².
32. 32.A trapezium has an area of 296 square cm. Its parallel sides are 21 cm and 16 cm. What is the distance between them (in cm)?
33. 33.A cuboid is 14 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
34. 34.A town has 32000 people. The population grows by 5% every year. What will the population be after 2 years?
35. 35.Which of these is a perfect cube? (a) 1074 (b) 1020 (c) 1000
36. 36.Which of these is a perfect square? (a) 100 (b) 115 (c) 106
37. 37.What amount will ₹25000 grow to in 2 years at 12% per year compound interest (in ₹)?
38. 38.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
39. 39.What is 16²? =
40. 40.Solve: y/5 + y/2 = 21. What is y?

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