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.Find the compound interest on ₹9800 at 20% per year for 1 year, compounded every year (in ₹).
- 2.What is the difference between the compound interest and the simple interest on ₹12400 at 25% per year for 2 years (in ₹)?
- 3.How many whole numbers lie between 40² and 41²?
- 4.Use (a − b)² = a² − 2ab + b² to find 97².
- 5.What is the smallest whole number by which 60 must be divided to get a perfect square?
- 6.What is the smallest whole number by which 320 must be divided to get a perfect square?
- 7.Solve: 4y + 13 = y + 22. What is y?
- 8.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
- 9.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
- 10.Use (a + b)² = a² + 2ab + b² to find 65².
- 11.Write 1.7 × 10⁻² as a decimal. =
- 12.Write 4⁵ ÷ 4³ as a single power 4ⁿ. What is n?
- 13.What is the value of (1/4)⁻²? =
- 14.Find the value of x² + 2xy + y² when x = 10 and y = 5.
- 15.What is the difference between the compound interest and the simple interest on ₹16700 at 20% per year for 2 years (in ₹)?
- 16.Write 2.2 × 10⁻³ as a decimal. =
- 17.A father is 30 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?
- 18.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
- 19.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
- 20.Which of these is a perfect cube? (a) 27 (b) 33 (c) 40
- 21.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 22.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
- 23.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
- 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
- 25.How many whole numbers lie between 36² and 37²?
- 26.What is the difference between the compound interest and the simple interest on ₹9600 at 5% per year for 2 years (in ₹)?
- 27.A trapezium has an area of 26 square cm. Its parallel sides are 7 cm and 19 cm. What is the distance between them (in cm)?
- 28.A trapezium has parallel sides of 14 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 29.Solve: y/4 + y/3 = 42. What is y?
- 30.What is √729? =
- 31.A town has 41000 people. The population grows by 10% every year. What will the population be after 3 years?
- 32.Solve: 3n + 15 = 2n + 16. What is n?
- 33.Use (a + b)(a − b) = a² − b² to find 37 × 23.
- 34.What is the difference between the compound interest and the simple interest on ₹42800 at 15% per year for 2 years (in ₹)?
- 35.A trapezium has parallel sides of 13 cm and 19 cm, and the distance between them is 13 cm. What is its area (in square cm)?
- 36.Find the value of x² + 2xy + y² when x = 13 and y = 8.
- 37.What is the value of (1/7)⁻¹? =
- 38.How many whole numbers lie between 7² and 8²?
- 39.What is the value of 2¹ × 2⁻²? =
- 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
Answer key
- 1960
- 775
- 80
- 9409
- 15
- 5
- 3
- 72
- 77
- 4225
- 0.017
- 2
- 16
- 225
- 668
- 0.0022
- 8
- 3
- 900
- 27
- 8
- 864
- 2166
- 12
- 72
- 24
- 2
- 270
- 72
- 27
- 54571
- 1
- 851
- 963
- 208
- 441
- 7
- 14
- 1/2
- 64
Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets