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 √361? =
- 2.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
- 3.A cuboid is 14 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 4.What is ∛27? =
- 5.Solve: 6(p − 4) = 5p + 3. What is p?
- 6.What amount will ₹17500 grow to in 2 years at 4% per year compound interest (in ₹)?
- 7.Write (2³)⁵ as a single power 2ⁿ. What is n?
- 8.What is the value of 3⁶ × 3⁻¹? =
- 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
- 10.What is √4900? =
- 11.What is the value of 9²? =
- 12.Use (a − b)² = a² − 2ab + b² to find 92².
- 13.Find the value of x² − y² when x = 3 and y = 1.
- 14.Which of these is a perfect cube? (a) 137 (b) 185 (c) 125
- 15.Find the value of x² + 2xy + y² when x = 13 and y = 10.
- 16.What is √5929? =
- 17.A square garden has an area of 289 square m. How long is each side (in m)?
- 18.Write 5.8 × 10⁻⁴ as a decimal. =
- 19.Write 4 × 10⁻² as a decimal. =
- 20.Find the compound interest on ₹18800 at 25% per year for 2 years, compounded every year (in ₹).
- 21.Find the value of x² − 2xy + y² when x = 6 and y = 2.
- 22.What is 43²? =
- 23.A square garden has an area of 484 square m. How long is each side (in m)?
- 24.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
- 25.Which of these is a perfect square? (a) 1163 (b) 1214 (c) 1156
- 26.Find the value of x² − y² when x = 10 and y = 3.
- 27.What amount will ₹12500 grow to in 2 years at 8% per year compound interest (in ₹)?
- 28.Solve: 5(p − 4) = 3p + 6. What is p?
- 29.What is √8281? =
- 30.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
- 31.Which of these is a perfect square? (a) 819 (b) 784 (c) 826
- 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 33.What is the value of (1/2)⁻²? =
- 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
- 35.What is √7396? =
- 36.The diagonals of a rhombus are 20 cm and 28 cm. What is its area (in square cm)?
- 37.A town has 59100 people. The population grows by 8% every year. What will the population be after 1 year?
- 38.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
- 39.What is the value of 4⁻² (as a fraction)? =
- 40.Find the compound interest on ₹21800 at 12% per year for 1 year, compounded every year (in ₹).
Answer key
- 19
- 180
- 508
- 3
- 27
- 18928
- 15
- 243
- 4
- 70
- 81
- 8464
- 8
- 125
- 529
- 77
- 17
- 0.00058
- 0.04
- 10575
- 16
- 1849
- 22
- 9
- 1156
- 91
- 14580
- 13
- 91
- 12
- 784
- 8
- 4
- 7
- 86
- 280
- 63828
- 49
- 1/16
- 2616
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