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 square garden has an area of 2116 square m. How long is each side (in m)?
- 2.What is the value of 3³ × 3⁻²? =
- 3.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
- 4.A cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 5.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
- 6.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 7.What is the value of 6³? =
- 8.Write 8.6 × 10⁻³ as a decimal. =
- 9.What amount will ₹6800 grow to in 2 years at 25% per year compound interest (in ₹)?
- 10.4.5 × 10⁴ =
- 11.Which of these is a perfect square? (a) 487 (b) 495 (c) 484
- 12.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
- 13.A trapezium has an area of 258 square cm. Its parallel sides are 28 cm and 15 cm. What is the distance between them (in cm)?
- 14.What is 16³? =
- 15.A square garden has an area of 2401 square m. How long is each side (in m)?
- 16.Which of these is a perfect cube? (a) 343 (b) 462 (c) 466
- 17.What is the value of 10⁵? =
- 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
- 19.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
- 20.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
- 21.A square garden has an area of 729 square m. How long is each side (in m)?
- 22.What amount will ₹35200 grow to in 3 years at 25% per year compound interest (in ₹)?
- 23.A trapezium has an area of 234 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
- 24.Write (7³)⁴ as a single power 7ⁿ. What is n?
- 25.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
- 27.A town has 10600 people. The population grows by 15% every year. What will the population be after 1 year?
- 28.What is the smallest whole number by which 147 must be divided to get a perfect square?
- 29.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
- 30.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
- 31.What is 95²? =
- 32.What is 5³? =
- 33.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
- 34.What is 34²? =
- 35.The sum of three consecutive whole numbers is 135. What is the largest of them?
- 36.Write (2⁵)² as a single power 2ⁿ. What is n?
- 37.What is 40²? =
- 38.What is the value of 2⁻⁷ (as a fraction)? =
- 39.The sum of three consecutive whole numbers is 93. What is the smallest of them?
- 40.Find the compound interest on ₹10400 at 25% per year for 2 years, compounded every year (in ₹).
Answer key
- 46
- 3
- 13
- 160
- 900
- 4
- 216
- 0.0086
- 10625
- 45000
- 484
- 14
- 12
- 4096
- 49
- 343
- 100000
- 15
- 1944
- 2
- 27
- 68750
- 13
- 12
- 27
- 2
- 12190
- 3
- 14
- 20
- 9025
- 125
- 2166
- 1156
- 46
- 10
- 1600
- 1/128
- 30
- 5850
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