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 17³? =
- 2.Find the compound interest on ₹15000 at 4% per year for 2 years, compounded every year (in ₹).
- 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 4.What is the value of 5⁶? =
- 5.A trapezium has parallel sides of 28 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
- 6.Solve: t/4 + t/3 = 56. What is t?
- 7.What is 14³? =
- 8.What is the value of 4⁴? =
- 9.Find the compound interest on ₹12900 at 8% per year for 1 year, compounded every year (in ₹).
- 10.Find the compound interest on ₹2800 at 12% per year for 1 year, compounded every year (in ₹).
- 11.Find the compound interest on ₹58800 at 25% per year for 2 years, compounded every year (in ₹).
- 12.A scooter is worth ₹37400. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
- 13.What is the value of 3⁵ × 3⁻²? =
- 14.What is 7³? =
- 15.Use (a + b)² = a² + 2ab + b² to find 59².
- 16.Solve: 4(m − 1) = 3m + 4. What is m?
- 17.What is the value of 5⁵ × 5⁻³? =
- 18.Use a² − b² = (a + b)(a − b) to find 63² − 18².
- 19.What is the value of 8⁴? =
- 20.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
- 21.Find the compound interest on ₹9600 at 5% per year for 2 years, compounded every year (in ₹).
- 22.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
- 23.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 24.A scooter is worth ₹35000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
- 25.Find the compound interest on ₹3600 at 5% per year for 2 years, compounded every year (in ₹).
- 26.What amount will ₹47800 grow to in 1 year at 25% per year compound interest (in ₹)?
- 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
- 28.A trapezium has parallel sides of 16 cm and 28 cm, and the distance between them is 5 cm. What is its area (in square cm)?
- 29.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
- 30.What is √900? =
- 31.What is 15³? =
- 32.Solve: 5(y − 2) = y + 14. What is y?
- 33.Write 6.6 × 10⁻² as a decimal. =
- 34.Find the compound interest on ₹59600 at 5% per year for 2 years, compounded every year (in ₹).
- 35.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
- 36.How many whole numbers lie between 27² and 28²?
- 37.Use (a − b)² = a² − 2ab + b² to find 77².
- 38.Find the value of x² + 2xy + y² when x = 3 and y = 1.
- 39.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 40.What amount will ₹12000 grow to in 3 years at 10% per year compound interest (in ₹)?
Answer key
- 4913
- 1224
- 14
- 15625
- 165
- 96
- 2744
- 256
- 1032
- 336
- 33075
- 28050
- 27
- 343
- 3481
- 8
- 25
- 3645
- 4096
- 182
- 984
- 6
- 170
- 27104
- 369
- 59750
- 2
- 110
- 9
- 30
- 3375
- 6
- 0.066
- 6109
- 4
- 54
- 5929
- 16
- 2646
- 15972
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