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.Use (a + b)² = a² + 2ab + b² to find 103².
- 2.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 3.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 4.Write 9.4 × 10⁻⁴ as a decimal. =
- 5.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
- 6.Solve: p/2 + p/3 = 5. What is p?
- 7.What is 18²? =
- 8.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 9.Which of these is a perfect cube? (a) 3102 (b) 2938 (c) 2744
- 10.What is √4225? =
- 11.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
- 13.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
- 14.What is the value of 2⁸? =
- 15.What is the value of 3⁴ × 3⁻⁴? =
- 16.What is ∛8000? =
- 17.Use (a + b)(a − b) = a² − b² to find 54 × 46.
- 18.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 19.The sum of two consecutive whole numbers is 93. What is the smallest of them?
- 20.What is the smallest whole number by which 90 must be multiplied to get a perfect square?
- 21.What is the value of 2³? =
- 22.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
- 23.Which of these is a perfect cube? (a) 135 (b) 125 (c) 134
- 24.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
- 25.Solve: y/6 + y/3 = 6. What is y?
- 26.A square garden has an area of 1600 square m. How long is each side (in m)?
- 27.Use a² − b² = (a + b)(a − b) to find 30² − 9².
- 28.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
- 29.What is √3025? =
- 30.What is √3600? =
- 31.The sum of two consecutive whole numbers is 81. What is the largest of them?
- 32.Use (a − b)² = a² − 2ab + b² to find 63².
- 33.If a + b = 15 and ab = 50, what is a² + b²?
- 34.A trapezium has parallel sides of 24 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 35.What is 47²? =
- 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
- 37.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
- 38.Which of these is a perfect cube? (a) 1007 (b) 1255 (c) 1000
- 39.Which of these is a perfect cube? (a) 294 (b) 246 (c) 216
- 40.How many whole numbers lie between 32² and 33²?
Answer key
- 10609
- 23
- 110
- 0.00094
- 13992
- 6
- 324
- 14
- 2744
- 65
- 726
- 4
- 3
- 256
- 1
- 20
- 2484
- 27
- 46
- 10
- 8
- 150
- 125
- 6
- 12
- 40
- 819
- 6
- 55
- 60
- 41
- 3969
- 125
- 344
- 2209
- 7
- 80
- 1000
- 216
- 64
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