Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 609 · 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 father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
2. 2.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
3. 3.Which of these is a perfect square? (a) 135 (b) 122 (c) 121
4. 4.Write (3⁷)² as a single power 3ⁿ. What is n?
5. 5.What is the difference between the compound interest and the simple interest on ₹55600 at 25% per year for 2 years (in ₹)?
6. 6.9 × 10² =
7. 7.Use (a + b)² = a² + 2ab + b² to find 94².
8. 8.What is the value of 10³ × 10⁻¹? =
9. 9.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
10. 10.What amount will ₹49600 grow to in 3 years at 25% per year compound interest (in ₹)?
11. 11.What is ∛10648? =
12. 12.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
13. 13.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
14. 14.Write 8³ × 8² as a single power 8ⁿ. What is n?
15. 15.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
16. 16.A trapezium has an area of 145 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
17. 17.What is the value of 2³? =
18. 18.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
19. 19.Find the value of x² + 2xy + y² when x = 12 and y = 5.
20. 20.What amount will ₹32500 grow to in 2 years at 8% per year compound interest (in ₹)?
21. 21.What is the difference between the compound interest and the simple interest on ₹17500 at 4% per year for 2 years (in ₹)?
22. 22.Write 7.7 × 10⁻² as a decimal. =
23. 23.What is √9801? =
24. 24.What is the difference between the compound interest and the simple interest on ₹54500 at 10% per year for 2 years (in ₹)?
25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
26. 26.Use (a + b)(a − b) = a² − b² to find 34 × 26.
27. 27.Which of these is a perfect square? (a) 676 (b) 682 (c) 718
28. 28.The sum of two consecutive whole numbers is 69. What is the smallest of them?
29. 29.If a + b = 4 and ab = 3, what is a² + b²?
30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
31. 31.A town has 57400 people. The population grows by 25% every year. What will the population be after 1 year?
32. 32.What is √1089? =
33. 33.A town has 32900 people. The population grows by 5% every year. What will the population be after 1 year?
34. 34.What is the value of 5³? =
35. 35.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
36. 36.The diagonals of a rhombus are 10 cm and 17 cm. What is its area (in square cm)?
37. 37.What is the value of 2²? =
38. 38.A scooter is worth ₹36000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
39. 39.Solve: p/2 + p/6 = 24. What is p?
40. 40.Use (a + b)² = a² + 2ab + b² to find 56².

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