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 parallel sides of 10 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 2.What is 2³? =
- 3.What is the value of 2⁵ × 2⁻¹? =
- 4.What is the smallest whole number by which 468 must be divided to get a perfect square?
- 5.Solve: 4x + 15 = 2x + 21. What is x?
- 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
- 7.Solve: 4(y − 3) = 3y + 10. What is y?
- 8.Which of these is a perfect cube? (a) 319 (b) 216 (c) 236
- 9.Find the value of x² − y² when x = 6 and y = 1.
- 10.The sum of two consecutive whole numbers is 21. What is the smallest of them?
- 11.Which of these is a perfect cube? (a) 65 (b) 72 (c) 64
- 12.Find the value of x² + 2xy + y² when x = 12 and y = 9.
- 13.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
- 14.Write 9.7 × 10⁻⁴ as a decimal. =
- 15.What is the smallest whole number by which 189 must be divided to get a perfect cube?
- 16.Solve: m/2 + m/4 = 21. What is m?
- 17.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 18.What is the value of 3³? =
- 19.What is 7³? =
- 20.Which of these is a perfect square? (a) 289 (b) 309 (c) 308
- 21.A scooter is worth ₹7000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
- 22.Solve: y/5 + y/2 = 56. What is y?
- 23.Solve: y/2 + y/3 = 30. What is y?
- 24.A trapezium has an area of 72 square cm. Its parallel sides are 4 cm and 12 cm. What is the distance between them (in cm)?
- 25.What is the value of (2/5)⁻²? =
- 26.What is the value of (1/4)⁻²? =
- 27.What amount will ₹11400 grow to in 1 year at 5% per year compound interest (in ₹)?
- 28.What is 28²? =
- 29.What is 30²? =
- 30.A trapezium has parallel sides of 13 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 31.What is 18³? =
- 32.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
- 33.Use a² − b² = (a + b)(a − b) to find 88² − 54².
- 34.Write 8 × 10⁻¹ as a decimal. =
- 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
- 36.How many whole numbers lie between 34² and 35²?
- 37.A square garden has an area of 1296 square m. How long is each side (in m)?
- 38.What is the value of 2⁶ × 2⁻⁶? =
- 39.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
- 40.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
Answer key
- 105
- 8
- 16
- 13
- 3
- 25
- 22
- 216
- 35
- 10
- 64
- 441
- 9826
- 0.00097
- 7
- 28
- 3
- 27
- 343
- 289
- 5103
- 80
- 36
- 9
- 25/4
- 16
- 11970
- 784
- 900
- 123
- 5832
- 432
- 4828
- 0.8
- 16
- 68
- 36
- 1
- 30
- 2
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