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 ₹2800 grow to in 1 year at 12% per year compound interest (in ₹)?
- 2.Use (a + b)(a − b) = a² − b² to find 61 × 59.
- 3.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
- 4.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
- 5.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
- 6.What is the smallest whole number by which 1134 must be divided to get a perfect square?
- 7.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
- 8.Write 6.5 × 10⁻² as a decimal. =
- 9.Find the value of x² − y² when x = 6 and y = 3.
- 10.Solve: 9n + 16 = n + 72. What is n?
- 11.If a − b = 2 and ab = 48, what is a² + b²?
- 12.Find the compound interest on ₹50000 at 10% per year for 3 years, compounded every year (in ₹).
- 13.Which of these is a perfect square? (a) 784 (b) 800 (c) 808
- 14.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
- 15.Use (a − b)² = a² − 2ab + b² to find 47².
- 16.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 17.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?
- 18.Use (a + b)(a − b) = a² − b² to find 101 × 99.
- 19.A cuboid is 11 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 20.Write 8 × 10⁻⁴ as a decimal. =
- 21.What is √1089? =
- 22.2.7 × 10⁵ =
- 23.A town has 44800 people. The population grows by 5% every year. What will the population be after 2 years?
- 24.A trapezium has parallel sides of 15 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 25.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
- 26.What is 6³? =
- 27.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
- 28.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
- 29.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
- 30.A trapezium has an area of 350 square cm. Its parallel sides are 13 cm and 22 cm. What is the distance between them (in cm)?
- 31.Find the compound interest on ₹42700 at 15% per year for 1 year, compounded every year (in ₹).
- 32.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
- 33.What is ∛4096? =
- 34.Solve: 3(x − 5) = x + 3. What is x?
- 35.The sum of two consecutive whole numbers is 35. What is the largest of them?
- 36.6.2 × 10⁵ =
- 37.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
- 38.Solve: 4(y − 2) = 3y + 10. What is y?
- 39.Use (a + b)² = a² + 2ab + b² to find 15².
- 40.Use a² − b² = (a + b)(a − b) to find 32² − 20².
Answer key
- 3136
- 3599
- 72
- 5
- 6
- 14
- 1350
- 0.065
- 27
- 7
- 100
- 16550
- 784
- 5
- 2209
- 9
- 261
- 9999
- 366
- 0.0008
- 33
- 270000
- 49392
- 160
- 14
- 216
- 3
- 16
- 24
- 20
- 6405
- 5
- 16
- 9
- 18
- 620000
- 11
- 18
- 225
- 624
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