Class 8 Maths Final Test Worksheet
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.
NameDateTime takenScore ___ / 40
- 1.What is the value of 7⁻² (as a fraction)? =
- 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 3.A trapezium has parallel sides of 15 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 4.What is the difference between the compound interest and the simple interest on ₹14400 at 15% per year for 2 years (in ₹)?
- 5.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 7.Solve: 6x + 11 = 4x + 15. What is x?
- 8.Which of these is a perfect square? (a) 1139 (b) 1127 (c) 1089
- 9.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
- 10.Write 4.7 × 10⁻³ as a decimal. =
- 11.What is 85²? =
- 12.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
- 13.What is the value of 10¹ × 10⁻³? =
- 14.What is √4096? =
- 15.How many whole numbers lie between 28² and 29²?
- 16.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
- 17.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
- 18.Solve: 5p + 8 = 3p + 14. What is p?
- 19.How many whole numbers lie between 30² and 31²?
- 20.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
- 21.Find the compound interest on ₹45900 at 25% per year for 1 year, compounded every year (in ₹).
- 22.What is the smallest whole number by which 16 must be divided to get a perfect cube?
- 23.What is the smallest whole number by which 250 must be divided to get a perfect cube?
- 24.Which of these is a perfect square? (a) 361 (b) 376 (c) 364
- 25.Find the compound interest on ₹50000 at 4% per year for 2 years, compounded every year (in ₹).
- 26.What is the value of 5⁵? =
- 27.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
- 28.8 × 10⁶ =
- 29.If a + b = 12 and ab = 11, what is a² + b²?
- 30.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
- 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 32.Which of these is a perfect cube? (a) 3033 (b) 2744 (c) 2988
- 33.Solve: 6(m − 4) = 2m + 28. What is m?
- 34.The diagonals of a rhombus are 12 cm and 7 cm. What is its area (in square cm)?
- 35.A square garden has an area of 100 square m. How long is each side (in m)?
- 36.Which of these is a perfect cube? (a) 3375 (b) 3642 (c) 3510
- 37.What is the value of 2⁻⁹ (as a fraction)? =
- 38.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
- 39.How many whole numbers lie between 9² and 10²?
- 40.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
Answer key
- 1/49
- 216
- 180
- 324
- 7
- 8
- 2
- 1089
- 9826
- 0.0047
- 7225
- 1014
- 1/100
- 64
- 56
- 60
- 2
- 3
- 60
- 64
- 11475
- 2
- 2
- 361
- 4080
- 3125
- 10
- 8000000
- 122
- 10
- 8
- 2744
- 13
- 42
- 10
- 3375
- 1/512
- 9
- 18
- 3783
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