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.A cuboid is 6 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 2.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 3.What is the value of 2⁻⁴ (as a fraction)? =
- 4.What is 14³? =
- 5.The sum of four consecutive whole numbers is 162. What is the largest of them?
- 6.Which of these is a perfect cube? (a) 282 (b) 273 (c) 216
- 7.What is the value of 5⁶ × 5⁻¹? =
- 8.Find the compound interest on ₹13900 at 4% per year for 1 year, compounded every year (in ₹).
- 9.Solve: 4(m − 3) = m + 30. What is m?
- 10.What is the value of (4/7)⁻²? =
- 11.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
- 12.Write 9⁸ × 9⁶ as a single power 9ⁿ. What is n?
- 13.A scooter is worth ₹12100. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
- 14.What is √676? =
- 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 16.Use a² − b² = (a + b)(a − b) to find 46² − 38².
- 17.Solve: n/5 + n/2 = 14. What is n?
- 18.What is the value of 3³ × 3⁻¹? =
- 19.What is √1681? =
- 20.A cuboid is 11 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 21.What amount will ₹45000 grow to in 2 years at 8% per year compound interest (in ₹)?
- 22.What is 12³? =
- 23.A cuboid is 11 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 25.Use (a + b)² = a² + 2ab + b² to find 105².
- 26.What is the difference between the compound interest and the simple interest on ₹22100 at 10% per year for 2 years (in ₹)?
- 27.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
- 28.What is ∛1331? =
- 29.3.5 × 10⁴ =
- 30.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 31.Solve: 7y + 2 = y + 14. What is y?
- 32.Which of these is a perfect cube? (a) 187 (b) 159 (c) 125
- 33.What is the value of 2⁶ × 2⁻²? =
- 34.Solve: 6x + 5 = 2x + 37. What is x?
- 35.Solve: 4(n − 5) = 2n + 6. What is n?
- 36.Solve: 4(y − 3) = y + 30. What is y?
- 37.What is the smallest whole number by which 832 must be multiplied to get a perfect square?
- 38.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
- 39.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
- 40.A father is 20 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
Answer key
- 268
- 600
- 1/16
- 2744
- 42
- 216
- 3125
- 556
- 14
- 49/16
- 120
- 14
- 11495
- 26
- 4
- 672
- 20
- 9
- 41
- 290
- 52488
- 1728
- 330
- 64
- 11025
- 221
- 17
- 11
- 35000
- 27
- 2
- 125
- 16
- 8
- 13
- 14
- 13
- 2
- 7
- 3
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