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 12²? =
- 2.What is ∛1000? =
- 3.What is 6³? =
- 4.Use (a − b)² = a² − 2ab + b² to find 51².
- 5.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
- 6.9.9 × 10³ =
- 7.A trapezium has an area of 35 square cm. Its parallel sides are 23 cm and 12 cm. What is the distance between them (in cm)?
- 8.What is 26²? =
- 9.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
- 10.Write 2.9 × 10⁻⁴ as a decimal. =
- 11.Use (a + b)(a − b) = a² − b² to find 32 × 28.
- 12.What is ∛10648? =
- 13.Which of these is a perfect cube? (a) 85 (b) 111 (c) 64
- 14.A trapezium has an area of 84 square cm. Its parallel sides are 30 cm and 12 cm. What is the distance between them (in cm)?
- 15.What is √5776? =
- 16.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
- 17.Find the value of x² − 2xy + y² when x = 15 and y = 13.
- 18.What is the difference between the compound interest and the simple interest on ₹36000 at 10% per year for 2 years (in ₹)?
- 19.Use (a + b)(a − b) = a² − b² to find 81 × 79.
- 20.What is the value of 2¹²? =
- 21.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
- 22.Use (a + b)² = a² + 2ab + b² to find 32².
- 23.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
- 24.Write 8 × 10⁻¹ as a decimal. =
- 25.Use (a + b)² = a² + 2ab + b² to find 92².
- 26.What is the value of 10¹ × 10⁻¹? =
- 27.A trapezium has an area of 81 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
- 28.Find the compound interest on ₹26000 at 10% per year for 1 year, compounded every year (in ₹).
- 29.How many whole numbers lie between 8² and 9²?
- 30.A cuboid is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 31.Solve: y/3 + y/5 = 8. What is y?
- 32.Which of these is a perfect square? (a) 1394 (b) 1389 (c) 1369
- 33.Solve: 5x + 3 = 2x + 15. What is x?
- 34.Solve: m/2 + m/4 = 15. What is m?
- 35.Use a² − b² = (a + b)(a − b) to find 21² − 20².
- 36.Solve: 4(p − 3) = p + 6. What is p?
- 37.What is the smallest whole number by which 108 must be divided to get a perfect square?
- 38.What is the difference between the compound interest and the simple interest on ₹40000 at 12% per year for 2 years (in ₹)?
- 39.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 40.Solve: 4(x − 2) = x + 13. What is x?
Answer key
- 144
- 10
- 216
- 2601
- 130
- 9900
- 2
- 676
- 20
- 0.00029
- 896
- 22
- 64
- 4
- 76
- 5
- 4
- 360
- 6399
- 4096
- 3
- 1024
- 24334
- 0.8
- 8464
- 1
- 6
- 2600
- 16
- 240
- 15
- 1369
- 4
- 20
- 41
- 6
- 3
- 576
- 14
- 7
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