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 ₹10800 grow to in 2 years at 25% per year compound interest (in ₹)?
- 2.Use (a − b)² = a² − 2ab + b² to find 26².
- 3.Write (7⁹)⁸ as a single power 7ⁿ. What is n?
- 4.What is √3136? =
- 5.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
- 6.A town has 56400 people. The population grows by 20% every year. What will the population be after 2 years?
- 7.Find the compound interest on ₹33600 at 5% per year for 2 years, compounded every year (in ₹).
- 8.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 9.Solve: t/5 + t/2 = 49. What is t?
- 10.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
- 11.What is the smallest whole number by which 112 must be divided to get a perfect square?
- 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
- 13.Find the value of x² + 2xy + y² when x = 5 and y = 2.
- 14.What is ∛5832? =
- 15.Which of these is a perfect square? (a) 1083 (b) 1039 (c) 1024
- 16.What amount will ₹32500 grow to in 2 years at 12% per year compound interest (in ₹)?
- 17.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 18.Find the compound interest on ₹49500 at 20% per year for 3 years, compounded every year (in ₹).
- 19.Solve: n/2 + n/3 = 40. What is n?
- 20.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
- 21.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
- 22.A cuboid is 11 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 23.What is √529? =
- 24.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 25.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
- 26.Use (a − b)² = a² − 2ab + b² to find 47².
- 27.A cuboid is 7 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 28.What amount will ₹59800 grow to in 2 years at 10% per year compound interest (in ₹)?
- 29.How many whole numbers lie between 34² and 35²?
- 30.9 × 10⁵ =
- 31.What is 5³? =
- 32.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
- 33.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 34.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
- 35.What is 96²? =
- 36.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 37.What is the value of 5⁻¹ (as a fraction)? =
- 38.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
- 39.A square garden has an area of 100 square m. How long is each side (in m)?
- 40.Use (a + b)² = a² + 2ab + b² to find 39².
Answer key
- 16875
- 676
- 72
- 56
- 161
- 81216
- 3444
- 150
- 70
- 2
- 7
- 30
- 49
- 18
- 1024
- 40768
- 14
- 36036
- 48
- 44
- 10
- 682
- 23
- 10
- 15
- 2209
- 210
- 72358
- 68
- 900000
- 125
- 1350
- 3
- 112
- 9216
- 128
- 1/5
- 11
- 10
- 1521
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