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.A trapezium has an area of 153 square cm. Its parallel sides are 5 cm and 29 cm. What is the distance between them (in cm)?
- 2.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
- 3.What is ∛3375? =
- 4.A square garden has an area of 2704 square m. How long is each side (in m)?
- 5.Which of these is a perfect cube? (a) 3889 (b) 3933 (c) 3375
- 6.What is 26²? =
- 7.Find the value of x² + 2xy + y² when x = 3 and y = 2.
- 8.Solve: 5(y − 1) = 4y + 2. What is y?
- 9.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
- 10.If a − b = 5 and ab = 36, what is a² + b²?
- 11.What is 24²? =
- 12.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
- 13.Use (a − b)² = a² − 2ab + b² to find 66².
- 14.What is the value of 10⁻² (as a fraction)? =
- 15.Find the compound interest on ₹23700 at 10% per year for 1 year, compounded every year (in ₹).
- 16.What amount will ₹40000 grow to in 1 year at 25% per year compound interest (in ₹)?
- 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 18.6.3 × 10⁷ =
- 19.Use (a + b)² = a² + 2ab + b² to find 77².
- 20.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 21.Use (a + b)(a − b) = a² − b² to find 31 × 29.
- 22.Which of these is a perfect cube? (a) 588 (b) 512 (c) 617
- 23.Solve: 6(t − 4) = t + 1. What is t?
- 24.Write (8⁵)⁶ as a single power 8ⁿ. What is n?
- 25.A cuboid is 6 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 26.What is the value of 8²? =
- 27.The sum of three consecutive whole numbers is 117. What is the smallest of them?
- 28.What is the value of 2⁶ × 2⁻⁶? =
- 29.Write 8.8 × 10⁻² as a decimal. =
- 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
- 31.What is the smallest whole number by which 32 must be divided to get a perfect cube?
- 32.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
- 33.A father is 36 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?
- 34.Write 7.2 × 10⁻² as a decimal. =
- 35.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 36.What is the value of 3⁶ × 3⁻⁶? =
- 37.Find the compound interest on ₹28800 at 25% per year for 3 years, compounded every year (in ₹).
- 38.What amount will ₹28900 grow to in 1 year at 20% per year compound interest (in ₹)?
- 39.Solve: x/6 + x/5 = 77. What is x?
- 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
Answer key
- 9
- 16
- 15
- 52
- 3375
- 676
- 25
- 7
- 36
- 97
- 576
- 11
- 4356
- 1/100
- 2370
- 50000
- 64
- 63000000
- 5929
- 27
- 899
- 512
- 5
- 30
- 266
- 64
- 38
- 1
- 0.088
- 18
- 4
- 7
- 10
- 0.072
- 27
- 1
- 27450
- 34680
- 210
- 6
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