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.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
- 2.Use (a − b)² = a² − 2ab + b² to find 47².
- 3.What is √1156? =
- 4.Which of these is a perfect square? (a) 1015 (b) 961 (c) 993
- 5.Find the compound interest on ₹4600 at 5% per year for 1 year, compounded every year (in ₹).
- 6.What is the difference between the compound interest and the simple interest on ₹36000 at 10% per year for 2 years (in ₹)?
- 7.What is the value of 5⁷? =
- 8.5.8 × 10⁴ =
- 9.What is 14³? =
- 10.A trapezium has parallel sides of 22 cm and 10 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 11.What is 13³? =
- 12.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 13.What is the smallest whole number by which 8 must be divided to get a perfect square?
- 14.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
- 15.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
- 16.What is the value of 2⁴ × 2⁻⁴? =
- 17.What is 40²? =
- 18.How many whole numbers lie between 29² and 30²?
- 19.Solve: x/2 + x/3 = 25. What is x?
- 20.What is the value of 5⁶ × 5⁻⁵? =
- 21.What is ∛729? =
- 22.What amount will ₹16000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 23.Which of these is a perfect square? (a) 119 (b) 103 (c) 100
- 24.Use (a + b)² = a² + 2ab + b² to find 18².
- 25.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
- 26.What is the value of (1/6)⁻¹? =
- 27.What is the value of 10⁴? =
- 28.Use (a + b)² = a² + 2ab + b² to find 36².
- 29.What is the smallest whole number by which 200 must be divided to get a perfect cube?
- 30.Write 4.7 × 10⁻⁴ as a decimal. =
- 31.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 32.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
- 33.What is the difference between the compound interest and the simple interest on ₹36000 at 15% per year for 2 years (in ₹)?
- 34.What is the value of 5³ × 5⁻¹? =
- 35.Which of these is a perfect square? (a) 1317 (b) 1296 (c) 1352
- 36.How many whole numbers lie between 20² and 21²?
- 37.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
- 38.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 39.What is the value of 3¹⁰? =
- 40.Solve: 3(m − 5) = m + 7. What is m?
Answer key
- 9
- 2209
- 34
- 961
- 230
- 360
- 78125
- 58000
- 2744
- 128
- 2197
- 27
- 2
- 3174
- 5
- 1
- 1600
- 58
- 30
- 5
- 9
- 21296
- 100
- 324
- 441
- 6
- 10000
- 1296
- 25
- 0.00047
- 216
- 14
- 810
- 25
- 1296
- 40
- 3783
- 384
- 59049
- 11
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