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 amount will ₹8800 grow to in 2 years at 5% per year compound interest (in ₹)?
- 2.The sum of three consecutive whole numbers is 45. What is the smallest of them?
- 3.A cuboid is 8 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 4.Use a² − b² = (a + b)(a − b) to find 62² − 27².
- 5.What is the value of 2¹⁴? =
- 6.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 7.Use (a + b)(a − b) = a² − b² to find 41 × 39.
- 8.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
- 9.Find the value of x² + 2xy + y² when x = 14 and y = 4.
- 10.Solve: 5n + 17 = 3n + 21. What is n?
- 11.What is the value of 2⁻⁴ (as a fraction)? =
- 12.A trapezium has parallel sides of 30 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 13.A trapezium has an area of 96 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?
- 14.Use a² − b² = (a + b)(a − b) to find 64² − 39².
- 15.If a − b = 9 and ab = 36, what is a² + b²?
- 16.What is ∛8? =
- 17.A town has 40000 people. The population grows by 25% every year. What will the population be after 3 years?
- 18.Find the value of x² + 2xy + y² when x = 14 and y = 11.
- 19.9.9 × 10⁷ =
- 20.A town has 53700 people. The population grows by 10% every year. What will the population be after 2 years?
- 21.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
- 22.Solve: 6t + 8 = 4t + 34. What is t?
- 23.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
- 24.A square garden has an area of 3136 square m. How long is each side (in m)?
- 25.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
- 26.Use (a + b)(a − b) = a² − b² to find 32 × 28.
- 27.Write 6.7 × 10⁻⁴ as a decimal. =
- 28.Which of these is a perfect square? (a) 1213 (b) 1162 (c) 1156
- 29.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
- 30.What is √225? =
- 31.A trapezium has parallel sides of 5 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 32.Solve: m/4 + m/3 = 21. What is m?
- 33.Use (a + b)(a − b) = a² − b² to find 104 × 96.
- 34.A room is 12 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
- 35.What is √6400? =
- 36.Solve: 5(y − 2) = y + 46. What is y?
- 37.The sum of four consecutive whole numbers is 78. What is the smallest of them?
- 38.Use (a + b)² = a² + 2ab + b² to find 21².
- 39.What amount will ₹23100 grow to in 2 years at 10% per year compound interest (in ₹)?
- 40.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
Answer key
- 9702
- 14
- 442
- 3115
- 16384
- 3750
- 1599
- 5
- 324
- 2
- 1/16
- 174
- 6
- 2575
- 153
- 2
- 78125
- 625
- 99000000
- 64977
- 63
- 13
- 9
- 56
- 784
- 896
- 0.00067
- 1156
- 72
- 15
- 210
- 36
- 9984
- 220
- 80
- 14
- 18
- 441
- 27951
- 90
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