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 room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
- 2.What is √441? =
- 3.Which of these is a perfect cube? (a) 125 (b) 171 (c) 200
- 4.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 5.A square garden has an area of 841 square m. How long is each side (in m)?
- 6.Use (a − b)² = a² − 2ab + b² to find 98².
- 7.What is the value of 6⁻² (as a fraction)? =
- 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 9.A town has 37700 people. The population grows by 5% every year. What will the population be after 1 year?
- 10.Use (a + b)(a − b) = a² − b² to find 72 × 68.
- 11.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
- 12.A father is 33 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
- 13.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 14.What is the value of 2²? =
- 15.Use a² − b² = (a + b)(a − b) to find 26² − 13².
- 16.What is the value of 2¹³? =
- 17.Find the compound interest on ₹21100 at 10% per year for 1 year, compounded every year (in ₹).
- 18.Solve: t/2 + t/4 = 21. What is t?
- 19.A town has 7100 people. The population grows by 12% every year. What will the population be after 1 year?
- 20.What is the smallest whole number by which 52 must be multiplied to get a perfect square?
- 21.What amount will ₹10000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 22.What is 37²? =
- 23.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 24.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
- 25.Use (a − b)² = a² − 2ab + b² to find 97².
- 26.Find the value of x² + 2xy + y² when x = 11 and y = 2.
- 27.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?
- 28.If a + b = 15 and ab = 54, what is a² + b²?
- 29.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
- 31.What is 24²? =
- 32.The sum of two consecutive whole numbers is 95. What is the largest of them?
- 33.Write 1.5 × 10⁻³ as a decimal. =
- 34.Write 1.8 × 10⁻¹ as a decimal. =
- 35.A trapezium has parallel sides of 17 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 36.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
- 37.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
- 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
- 39.A cuboid is 3 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 40.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
Answer key
- 170
- 21
- 125
- 27
- 29
- 9604
- 1/36
- 125
- 39585
- 4896
- 3
- 6
- 125
- 4
- 507
- 8192
- 2110
- 28
- 7952
- 13
- 12544
- 1369
- 27
- 625
- 9409
- 169
- 11
- 117
- 54
- 4
- 576
- 48
- 0.0015
- 0.18
- 246
- 190
- 49
- 3
- 174
- 22
Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets