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 93²? =
- 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
- 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
- 4.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
- 5.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
- 6.What amount will ₹16300 grow to in 2 years at 20% per year compound interest (in ₹)?
- 7.What amount will ₹33600 grow to in 2 years at 25% per year compound interest (in ₹)?
- 8.A town has 16000 people. The population grows by 25% every year. What will the population be after 3 years?
- 9.What is 7³? =
- 10.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
- 11.Solve: 8x + 8 = 4x + 64. What is x?
- 12.What is 30²? =
- 13.What is the value of 10⁻¹ (as a fraction)? =
- 14.Which of these is a perfect square? (a) 144 (b) 150 (c) 145
- 15.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
- 16.What is the value of 10³ × 10⁻⁶? =
- 17.Which of these is a perfect square? (a) 550 (b) 529 (c) 566
- 18.If a + b = 5 and ab = 4, what is a² + b²?
- 19.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
- 20.Use (a + b)² = a² + 2ab + b² to find 19².
- 21.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
- 22.Which of these is a perfect cube? (a) 1903 (b) 2028 (c) 1728
- 23.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
- 24.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 25.What is ∛2744? =
- 26.A square garden has an area of 900 square m. How long is each side (in m)?
- 27.A cuboid is 6 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 28.Solve: 4(y − 4) = y + 35. What is y?
- 29.What is the difference between the compound interest and the simple interest on ₹15000 at 4% per year for 2 years (in ₹)?
- 30.Find the value of x² − y² when x = 15 and y = 4.
- 31.What is the value of 8⁻³ (as a fraction)? =
- 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
- 33.A trapezium has parallel sides of 19 cm and 7 cm, and the distance between them is 5 cm. What is its area (in square cm)?
- 34.Write 9 × 10⁻³ as a decimal. =
- 35.Write 6.7 × 10⁻³ as a decimal. =
- 36.What amount will ₹41600 grow to in 2 years at 20% per year compound interest (in ₹)?
- 37.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 38.What is the smallest whole number by which 686 must be divided to get a perfect square?
- 39.What is the smallest whole number by which 24 must be divided to get a perfect cube?
- 40.What amount will ₹10400 grow to in 1 year at 25% per year compound interest (in ₹)?
Answer key
- 8649
- 2
- 4
- 7
- 4
- 23472
- 52500
- 31250
- 343
- 15
- 14
- 900
- 1/10
- 144
- 14
- 1/1000
- 529
- 17
- 1944
- 361
- 21
- 1728
- 36
- 70
- 14
- 30
- 336
- 17
- 24
- 209
- 1/512
- 16
- 65
- 0.009
- 0.0067
- 59904
- 14
- 14
- 3
- 13000
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