Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 812 · 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.The sum of four consecutive whole numbers is 98. What is the smallest of them?
2. 2.A trapezium has an area of 136 square cm. Its parallel sides are 6 cm and 11 cm. What is the distance between them (in cm)?
3. 3.Find the compound interest on ₹39800 at 20% per year for 1 year, compounded every year (in ₹).
4. 4.What is √841? =
5. 5.If a + b = 5 and ab = 4, what is a² + b²?
6. 6.Use (a − b)² = a² − 2ab + b² to find 29².
7. 7.Use (a + b)² = a² + 2ab + b² to find 51².
8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
9. 9.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
10. 10.What is the value of 3⁵ × 3⁻³? =
11. 11.Write 2.3 × 10⁻² as a decimal. =
12. 12.What is 89²? =
13. 13.A town has 15000 people. The population grows by 20% every year. What will the population be after 1 year?
14. 14.Write 9⁷ × 9⁵ as a single power 9ⁿ. What is n?
15. 15.What is 70²? =
16. 16.Write 6⁹ × 6⁵ as a single power 6ⁿ. What is n?
17. 17.What is the smallest whole number by which 32 must be divided to get a perfect square?
18. 18.Solve: 5y + 14 = 2y + 35. What is y?
19. 19.Write (7⁸)² as a single power 7ⁿ. What is n?
20. 20.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
21. 21.What is the value of 4⁶? =
22. 22.What is the smallest whole number by which 54 must be divided to get a perfect square?
23. 23.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
24. 24.What is the value of 2¹⁵? =
25. 25.What is √484? =
26. 26.What is the value of 2⁴ × 2⁻⁴? =
27. 27.What is the value of 4⁸? =
28. 28.What is the value of 2⁴? =
29. 29.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?
30. 30.A town has 5600 people. The population grows by 25% every year. What will the population be after 2 years?
31. 31.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
32. 32.A square garden has an area of 81 square m. How long is each side (in m)?
33. 33.What is the difference between the compound interest and the simple interest on ₹52500 at 12% per year for 2 years (in ₹)?
34. 34.Use (a + b)² = a² + 2ab + b² to find 54².
35. 35.What is 77²? =
36. 36.Write 2.6 × 10⁻² as a decimal. =
37. 37.The sum of three consecutive whole numbers is 18. What is the largest of them?
38. 38.Write 7,60,00,000 in standard form as 7.6 × 10ⁿ. What is n?
39. 39.Find the compound interest on ₹12000 at 10% per year for 3 years, compounded every year (in ₹).
40. 40.Write 5.8 × 10⁻² as a decimal. =

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