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 value of 2¹ × 2⁻¹? =
- 2.Use a² − b² = (a + b)(a − b) to find 25² − 23².
- 3.Solve: 3(n − 2) = 2n + 8. What is n?
- 4.What is ∛4913? =
- 5.What amount will ₹15000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 6.Solve: x/3 + x/2 = 25. What is x?
- 7.What is 20³? =
- 8.Write 3.7 × 10⁻² as a decimal. =
- 9.What amount will ₹24600 grow to in 1 year at 10% per year compound interest (in ₹)?
- 10.What is the value of (3/5)⁻²? =
- 11.Write 3,20,000 in standard form as 3.2 × 10ⁿ. What is n?
- 12.Which of these is a perfect square? (a) 153 (b) 144 (c) 168
- 13.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?
- 14.What is 2³? =
- 15.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
- 16.A trapezium has parallel sides of 22 cm and 30 cm, and the distance between them is 13 cm. What is its area (in square cm)?
- 17.Solve: 4p + 15 = p + 18. What is p?
- 18.Write 3⁸ × 3³ as a single power 3ⁿ. What is n?
- 19.The diagonals of a rhombus are 24 cm and 19 cm. What is its area (in square cm)?
- 20.Write 6.6 × 10⁻³ as a decimal. =
- 21.Solve: 4(x − 4) = 3x + 2. What is x?
- 22.What is the value of 5⁴ × 5⁻²? =
- 23.Use a² − b² = (a + b)(a − b) to find 94² − 90².
- 24.What is the value of 2³? =
- 25.A cuboid is 7 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 26.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
- 27.Use (a + b)(a − b) = a² − b² to find 82 × 78.
- 28.Use (a + b)(a − b) = a² − b² to find 49 × 31.
- 29.Find the value of x² − y² when x = 12 and y = 2.
- 30.What amount will ₹20400 grow to in 2 years at 15% per year compound interest (in ₹)?
- 31.How many whole numbers lie between 42² and 43²?
- 32.Solve: 7y + 2 = 5y + 10. What is y?
- 33.A square garden has an area of 169 square m. How long is each side (in m)?
- 34.Use (a − b)² = a² − 2ab + b² to find 17².
- 35.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 36.Write 6⁷ ÷ 6⁴ as a single power 6ⁿ. What is n?
- 37.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
- 38.1.8 × 10³ =
- 39.What is the smallest whole number by which 396 must be divided to get a perfect square?
- 40.What amount will ₹12500 grow to in 2 years at 8% per year compound interest (in ₹)?
Answer key
- 1
- 96
- 14
- 17
- 18816
- 30
- 8000
- 0.037
- 27060
- 25/9
- 5
- 144
- 9
- 8
- 88
- 338
- 1
- 11
- 228
- 0.0066
- 18
- 25
- 736
- 8
- 358
- 3
- 6396
- 1519
- 140
- 26979
- 84
- 4
- 13
- 289
- 54
- 3
- 140
- 1800
- 11
- 14580
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