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 the smallest whole number by which 320 must be multiplied to get a perfect square?
- 2.If a − b = 2 and ab = 15, what is a² + b²?
- 3.What is the value of 9⁻³ (as a fraction)? =
- 4.Which of these is a perfect cube? (a) 64 (b) 71 (c) 101
- 5.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 6.What is the value of 9⁵? =
- 7.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
- 8.What is the difference between the compound interest and the simple interest on ₹57800 at 20% per year for 2 years (in ₹)?
- 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 10.Write (2⁹)³ as a single power 2ⁿ. What is n?
- 11.What is the difference between the compound interest and the simple interest on ₹55000 at 12% per year for 2 years (in ₹)?
- 12.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
- 13.A cuboid is 3 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 14.A trapezium has an area of 180 square cm. Its parallel sides are 6 cm and 24 cm. What is the distance between them (in cm)?
- 15.What amount will ₹9600 grow to in 2 years at 5% per year compound interest (in ₹)?
- 16.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 17.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 18.If a − b = 3 and ab = 108, what is a² + b²?
- 19.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
- 20.What is ∛2197? =
- 21.A square garden has an area of 1024 square m. How long is each side (in m)?
- 22.8.3 × 10² =
- 23.What is ∛64? =
- 24.Which of these is a perfect cube? (a) 27 (b) 51 (c) 32
- 25.A trapezium has parallel sides of 5 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 26.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 27.A trapezium has an area of 250 square cm. Its parallel sides are 19 cm and 6 cm. What is the distance between them (in cm)?
- 28.A cuboid is 4 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 29.Use (a + b)² = a² + 2ab + b² to find 52².
- 30.Which of these is a perfect cube? (a) 227 (b) 216 (c) 261
- 31.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 32.What is the value of 2¹⁵? =
- 33.How many whole numbers lie between 36² and 37²?
- 34.The sum of four consecutive whole numbers is 114. What is the smallest of them?
- 35.Write 4.3 × 10⁻¹ as a decimal. =
- 36.What is 15³? =
- 37.If a − b = 5 and ab = 50, what is a² + b²?
- 38.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 39.Write (7⁹)⁹ as a single power 7ⁿ. What is n?
- 40.Use a² − b² = (a + b)(a − b) to find 91² − 13².
Answer key
- 5
- 34
- 1/729
- 64
- 81
- 59049
- 2
- 2312
- 8
- 27
- 792
- 14440
- 132
- 12
- 10584
- 2400
- 100
- 225
- 6
- 13
- 32
- 830
- 4
- 27
- 144
- 54
- 20
- 208
- 2704
- 216
- 1734
- 32768
- 72
- 27
- 0.43
- 3375
- 125
- 90
- 81
- 8112
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