Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 170 · 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 diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
2. 2.What is 12³? =
3. 3.What amount will ₹17500 grow to in 2 years at 12% per year compound interest (in ₹)?
4. 4.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
5. 5.Write 1.4 × 10⁻⁴ as a decimal. =
6. 6.Write 6¹⁰ ÷ 6² as a single power 6ⁿ. What is n?
7. 7.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
8. 8.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
9. 9.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
10. 10.A father is 57 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
11. 11.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
12. 12.What is the difference between the compound interest and the simple interest on ₹56700 at 10% per year for 2 years (in ₹)?
13. 13.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
14. 14.Which of these is a perfect square? (a) 361 (b) 367 (c) 388
15. 15.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
16. 16.If a + b = 3 and ab = 2, what is a² + b²?
17. 17.Find the compound interest on ₹44600 at 5% per year for 1 year, compounded every year (in ₹).
18. 18.What is the smallest whole number by which 32 must be multiplied to get a perfect square?
19. 19.Solve: 7n + 20 = 4n + 23. What is n?
20. 20.Use a² − b² = (a + b)(a − b) to find 67² − 6².
21. 21.What is the difference between the compound interest and the simple interest on ₹40800 at 5% per year for 2 years (in ₹)?
22. 22.Solve: 6(m − 1) = 2m + 34. What is m?
23. 23.What is 30²? =
24. 24.How many whole numbers lie between 41² and 42²?
25. 25.How many whole numbers lie between 13² and 14²?
26. 26.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
27. 27.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
28. 28.What amount will ₹28800 grow to in 3 years at 25% per year compound interest (in ₹)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 99².
30. 30.A father is 36 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?
31. 31.Find the compound interest on ₹19900 at 10% per year for 1 year, compounded every year (in ₹).
32. 32.Find the compound interest on ₹55100 at 5% per year for 1 year, compounded every year (in ₹).
33. 33.What amount will ₹2500 grow to in 2 years at 8% per year compound interest (in ₹)?
34. 34.Write 7.5 × 10⁻³ as a decimal. =
35. 35.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
36. 36.Write (2⁸)² as a single power 2ⁿ. What is n?
37. 37.Find the compound interest on ₹39200 at 5% per year for 2 years, compounded every year (in ₹).
38. 38.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).
39. 39.If a + b = 7 and ab = 12, what is a² + b²?
40. 40.Which of these is a perfect cube? (a) 1000 (b) 1252 (c) 1157

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets