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 5 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 2.What is the value of 7⁵? =
- 3.What is 15³? =
- 4.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
- 5.Solve: 4(p − 3) = p + 39. What is p?
- 6.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
- 7.What is the difference between the compound interest and the simple interest on ₹55000 at 8% per year for 2 years (in ₹)?
- 8.Find the compound interest on ₹52500 at 8% per year for 2 years, compounded every year (in ₹).
- 9.Use (a + b)² = a² + 2ab + b² to find 55².
- 10.Use a² − b² = (a + b)(a − b) to find 47² − 1².
- 11.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
- 12.Find the compound interest on ₹38300 at 10% per year for 2 years, compounded every year (in ₹).
- 13.What is 58²? =
- 14.What is the difference between the compound interest and the simple interest on ₹26000 at 5% per year for 2 years (in ₹)?
- 15.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
- 16.How many whole numbers lie between 21² and 22²?
- 17.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
- 18.Write 540 in standard form as 5.4 × 10ⁿ. What is n?
- 19.A trapezium has parallel sides of 6 cm and 4 cm, and the distance between them is 7 cm. What is its area (in square cm)?
- 20.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 21.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
- 22.What is the value of (8/9)⁻¹? =
- 23.What is ∛4913? =
- 24.Write (4⁶)⁴ as a single power 4ⁿ. What is n?
- 25.What is the value of 10⁶ × 10⁻¹? =
- 26.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
- 27.What is the difference between the compound interest and the simple interest on ₹46400 at 25% per year for 2 years (in ₹)?
- 28.Solve: 5(n − 2) = 3n + 6. What is n?
- 29.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
- 30.What is the value of 3⁹? =
- 31.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
- 32.Which of these is a perfect square? (a) 220 (b) 196 (c) 222
- 33.Find the compound interest on ₹36400 at 12% per year for 1 year, compounded every year (in ₹).
- 34.Solve: 6n + 10 = 4n + 28. What is n?
- 35.What amount will ₹15000 grow to in 2 years at 4% per year compound interest (in ₹)?
- 36.What is the value of 2²? =
- 37.What is the value of 2¹⁰? =
- 38.A square garden has an area of 121 square m. How long is each side (in m)?
- 39.A square garden has an area of 400 square m. How long is each side (in m)?
- 40.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
Answer key
- 460
- 16807
- 3375
- 36
- 17
- 1350
- 352
- 8736
- 3025
- 2208
- 9
- 8043
- 3364
- 65
- 35
- 42
- 18
- 2
- 35
- 8
- 2
- 9/8
- 17
- 24
- 100000
- 13
- 2900
- 8
- 84
- 19683
- 18
- 196
- 4368
- 9
- 16224
- 4
- 1024
- 11
- 20
- 21
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