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.Write 2.2 × 10⁻¹ as a decimal. =
- 2.What amount will ₹32500 grow to in 2 years at 10% per year compound interest (in ₹)?
- 3.Use (a − b)² = a² − 2ab + b² to find 28².
- 4.A trapezium has parallel sides of 13 cm and 23 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 5.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
- 6.A square garden has an area of 841 square m. How long is each side (in m)?
- 7.If a + b = 3 and ab = 2, what is a² + b²?
- 8.A square garden has an area of 3481 square m. How long is each side (in m)?
- 9.What is the value of (1/2)⁻¹? =
- 10.Write 76,000 in standard form as 7.6 × 10ⁿ. What is n?
- 11.Solve: 6(t − 5) = 2t + 34. What is t?
- 12.Find the value of x² − 2xy + y² when x = 13 and y = 7.
- 13.Use a² − b² = (a + b)(a − b) to find 93² − 54².
- 14.A cuboid is 8 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 15.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 16.Solve: x/4 + x/6 = 30. What is x?
- 17.What is 88²? =
- 18.What is 62²? =
- 19.Write (6⁴)⁷ as a single power 6ⁿ. What is n?
- 20.Write 2.4 × 10⁻¹ as a decimal. =
- 21.How many whole numbers lie between 48² and 49²?
- 22.Use (a + b)² = a² + 2ab + b² to find 73².
- 23.What is √625? =
- 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 25.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 26.What is ∛512? =
- 27.Find the compound interest on ₹15500 at 20% per year for 3 years, compounded every year (in ₹).
- 28.How many whole numbers lie between 32² and 33²?
- 29.A cuboid is 8 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 30.What is 25²? =
- 31.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
- 32.Use (a − b)² = a² − 2ab + b² to find 35².
- 33.What amount will ₹6400 grow to in 2 years at 20% per year compound interest (in ₹)?
- 34.Which of these is a perfect cube? (a) 33 (b) 53 (c) 27
- 35.Find the compound interest on ₹7100 at 20% per year for 2 years, compounded every year (in ₹).
- 36.Find the compound interest on ₹15200 at 25% per year for 2 years, compounded every year (in ₹).
- 37.Find the compound interest on ₹53000 at 4% per year for 1 year, compounded every year (in ₹).
- 38.Find the value of x² − y² when x = 3 and y = 1.
- 39.Use (a + b)² = a² + 2ab + b² to find 33².
- 40.What is √144? =
Answer key
- 0.22
- 39325
- 784
- 54
- 42
- 29
- 5
- 59
- 2
- 4
- 16
- 36
- 5733
- 472
- 19
- 72
- 7744
- 3844
- 28
- 0.24
- 96
- 5329
- 25
- 64
- 122
- 8
- 11284
- 64
- 232
- 625
- 170
- 1225
- 9216
- 27
- 3124
- 8550
- 2120
- 8
- 1089
- 12
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