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 ∛216? =
- 2.Solve: n/2 + n/3 = 30. What is n?
- 3.Find the value of x² + 2xy + y² when x = 13 and y = 12.
- 4.Which of these is a perfect cube? (a) 1511 (b) 1448 (c) 1331
- 5.Solve: 5p + 18 = p + 42. What is p?
- 6.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
- 7.A cuboid is 6 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 8.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 9.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 10.Write (3³)⁸ as a single power 3ⁿ. What is n?
- 11.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 12.Solve: 5(m − 2) = 2m + 35. What is m?
- 13.What is 6³? =
- 14.Solve: 8x + 7 = 6x + 15. What is x?
- 15.What is 14³? =
- 16.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
- 17.3.8 × 10⁵ =
- 18.A town has 4000 people. The population grows by 5% every year. What will the population be after 2 years?
- 19.Write (3⁸)⁹ as a single power 3ⁿ. What is n?
- 20.Write 4¹⁶ ÷ 4⁹ as a single power 4ⁿ. What is n?
- 21.What is the smallest whole number by which 117 must be divided to get a perfect square?
- 22.What is 12³? =
- 23.What is the value of 2⁶ × 2⁻¹? =
- 24.Solve: 6t + 19 = 5t + 33. What is t?
- 25.What is the value of 2⁸? =
- 26.A trapezium has parallel sides of 6 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 27.A square garden has an area of 64 square m. How long is each side (in m)?
- 28.Use (a + b)² = a² + 2ab + b² to find 25².
- 29.What is the smallest whole number by which 49 must be divided to get a perfect cube?
- 30.Find the value of x² − y² when x = 13 and y = 11.
- 31.What is the value of 2³? =
- 32.What is 30²? =
- 33.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 34.What is the value of 3⁴ × 3⁻¹? =
- 35.6.8 × 10⁶ =
- 36.A square garden has an area of 1936 square m. How long is each side (in m)?
- 37.What is 16²? =
- 38.9.4 × 10⁵ =
- 39.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
- 40.Use a² − b² = (a + b)(a − b) to find 98² − 5².
Answer key
- 6
- 36
- 625
- 1331
- 6
- 6305
- 504
- 8
- 150
- 24
- 600
- 15
- 216
- 4
- 2744
- 7
- 380000
- 4410
- 72
- 7
- 13
- 1728
- 32
- 14
- 256
- 105
- 8
- 625
- 49
- 48
- 8
- 900
- 8
- 27
- 6800000
- 44
- 256
- 940000
- 11
- 9579
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