Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 883 · 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 amount will ₹32200 grow to in 2 years at 20% per year compound interest (in ₹)?
2. 2.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
3. 3.Use (a + b)² = a² + 2ab + b² to find 79².
4. 4.What is 18³? =
5. 5.Solve: 6t + 6 = 5t + 19. What is t?
6. 6.A scooter is worth ₹18300. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
7. 7.What is the smallest whole number by which 52 must be multiplied to get a perfect square?
8. 8.What is 84²? =
9. 9.A town has 12400 people. The population grows by 10% every year. What will the population be after 1 year?
10. 10.If a + b = 11 and ab = 10, what is a² + b²?
11. 11.What is the value of 2⁶ × 2⁻³? =
12. 12.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
13. 13.Use (a + b)(a − b) = a² − b² to find 83 × 77.
14. 14.Solve: p/5 + p/2 = 7. What is p?
15. 15.Solve: 6y + 16 = 5y + 27. What is y?
16. 16.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
17. 17.What is the value of 10⁴ × 10⁻⁵? =
18. 18.What is the smallest whole number by which 360 must be multiplied to get a perfect square?
19. 19.Use (a − b)² = a² − 2ab + b² to find 19².
20. 20.What amount will ₹36200 grow to in 1 year at 5% per year compound interest (in ₹)?
21. 21.Solve: x/2 + x/6 = 12. What is x?
22. 22.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
23. 23.What is the difference between the compound interest and the simple interest on ₹29600 at 20% per year for 2 years (in ₹)?
24. 24.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.Solve: 4m + 14 = 2m + 28. What is m?
26. 26.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
27. 27.Find the compound interest on ₹29600 at 15% per year for 2 years, compounded every year (in ₹).
28. 28.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
29. 29.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
30. 30.Solve: 6x + 7 = x + 17. What is x?
31. 31.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
32. 32.What is the value of 2²? =
33. 33.Find the compound interest on ₹17500 at 8% per year for 2 years, compounded every year (in ₹).
34. 34.What amount will ₹28600 grow to in 1 year at 12% per year compound interest (in ₹)?
35. 35.The sum of two consecutive whole numbers is 117. What is the largest of them?
36. 36.Use (a − b)² = a² − 2ab + b² to find 23².
37. 37.Which of these is a perfect cube? (a) 178 (b) 125 (c) 181
38. 38.Which of these is a perfect square? (a) 1441 (b) 1369 (c) 1370
39. 39.Which of these is a perfect square? (a) 841 (b) 896 (c) 844
40. 40.If a − b = 4 and ab = 12, what is a² + b²?

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