Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 374 · 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 is 3³? =
2. 2.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
3. 3.What is the value of 10²? =
4. 4.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.Solve: m/3 + m/4 = 21. What is m?
6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
7. 7.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
8. 8.What is the smallest whole number by which 98 must be multiplied to get a perfect square?
9. 9.3.5 × 10⁶ =
10. 10.If a − b = 11 and ab = 12, what is a² + b²?
11. 11.Find the value of x² − y² when x = 12 and y = 10.
12. 12.Find the compound interest on ₹15000 at 10% per year for 3 years, compounded every year (in ₹).
13. 13.A scooter is worth ₹47600. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
14. 14.Solve: 4(p − 1) = 3p + 7. What is p?
15. 15.A father is 34 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
16. 16.What is the value of 3⁵ × 3⁻⁵? =
17. 17.Use (a + b)² = a² + 2ab + b² to find 76².
18. 18.Find the value of x² − y² when x = 12 and y = 3.
19. 19.Find the compound interest on ₹31400 at 12% per year for 1 year, compounded every year (in ₹).
20. 20.A trapezium has an area of 75 square cm. Its parallel sides are 25 cm and 5 cm. What is the distance between them (in cm)?
21. 21.A trapezium has an area of 200 square cm. Its parallel sides are 7 cm and 13 cm. What is the distance between them (in cm)?
22. 22.Use (a + b)(a − b) = a² − b² to find 32 × 28.
23. 23.Use (a + b)(a − b) = a² − b² to find 77 × 63.
24. 24.What is the smallest whole number by which 735 must be divided to get a perfect square?
25. 25.What is the smallest whole number by which 8 must be divided to get a perfect square?
26. 26.The sum of three consecutive whole numbers is 87. What is the largest of them?
27. 27.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
28. 28.Use a² − b² = (a + b)(a − b) to find 32² − 19².
29. 29.A square garden has an area of 225 square m. How long is each side (in m)?
30. 30.The diagonals of a rhombus are 16 cm and 14 cm. What is its area (in square cm)?
31. 31.Which of these is a perfect square? (a) 1024 (b) 1049 (c) 1087
32. 32.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
33. 33.4.8 × 10² =
34. 34.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
35. 35.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
36. 36.A trapezium has parallel sides of 4 cm and 15 cm, and the distance between them is 20 cm. What is its area (in square cm)?
37. 37.What is 28²? =
38. 38.What is the difference between the compound interest and the simple interest on ₹44400 at 5% per year for 2 years (in ₹)?
39. 39.Use (a − b)² = a² − 2ab + b² to find 84².
40. 40.3.5 × 10⁴ =

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