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 is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
- 2.What amount will ₹37600 grow to in 1 year at 8% per year compound interest (in ₹)?
- 3.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 4.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
- 5.What is √5625? =
- 6.A square garden has an area of 3249 square m. How long is each side (in m)?
- 7.What is the value of (3/8)⁻²? =
- 8.How many whole numbers lie between 36² and 37²?
- 9.What is √676? =
- 10.What is √8464? =
- 11.How many whole numbers lie between 37² and 38²?
- 12.Find the compound interest on ₹17000 at 10% per year for 3 years, compounded every year (in ₹).
- 13.If a − b = 2 and ab = 3, what is a² + b²?
- 14.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?
- 15.What is 4³? =
- 16.Which of these is a perfect square? (a) 1346 (b) 1329 (c) 1296
- 17.1.4 × 10⁶ =
- 18.Which of these is a perfect square? (a) 400 (b) 410 (c) 417
- 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 20.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 21.What is ∛27? =
- 22.A scooter is worth ₹37500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
- 23.What is the value of 5² × 5⁻¹? =
- 24.The sum of three consecutive whole numbers is 162. What is the smallest of them?
- 25.What amount will ₹47500 grow to in 2 years at 4% per year compound interest (in ₹)?
- 26.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
- 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
- 28.What is 19²? =
- 29.Use (a + b)² = a² + 2ab + b² to find 21².
- 30.Find the compound interest on ₹54300 at 10% per year for 1 year, compounded every year (in ₹).
- 31.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
- 32.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
- 33.What is the value of 2¹ × 2⁻⁵? =
- 34.Which of these is a perfect square? (a) 236 (b) 246 (c) 225
- 35.What is √9409? =
- 36.Which of these is a perfect square? (a) 495 (b) 489 (c) 484
- 37.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
- 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
- 39.Solve: 8x + 19 = x + 117. What is x?
- 40.The diagonals of a rhombus are 12 cm and 25 cm. What is its area (in square cm)?
Answer key
- 36
- 40608
- 384
- 2
- 75
- 57
- 64/9
- 72
- 26
- 92
- 74
- 5627
- 10
- 63
- 64
- 1296
- 1400000
- 400
- 216
- 27
- 3
- 31740
- 5
- 53
- 51376
- 14
- 2
- 361
- 441
- 5430
- 27
- 24
- 1/16
- 225
- 97
- 484
- 2
- 3
- 14
- 150
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