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.Solve: 3(t − 1) = t + 25. What is t?
- 2.Find the value of x² + 2xy + y² when x = 12 and y = 11.
- 3.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 4.What is the value of 2⁸? =
- 5.Solve: p/2 + p/4 = 21. What is p?
- 6.Find the compound interest on ₹16800 at 5% per year for 2 years, compounded every year (in ₹).
- 7.What is the value of 2⁵ × 2⁻⁵? =
- 8.What is the value of 10¹ × 10⁻⁶? =
- 9.Write 4.8 × 10⁻¹ as a decimal. =
- 10.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 11.Write (5⁹)² as a single power 5ⁿ. What is n?
- 12.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 13.What is the value of 2⁻⁴ (as a fraction)? =
- 14.The sum of two consecutive whole numbers is 41. What is the largest of them?
- 15.What is the difference between the compound interest and the simple interest on ₹19600 at 5% per year for 2 years (in ₹)?
- 16.Write 7.6 × 10⁻³ as a decimal. =
- 17.A town has 5000 people. The population grows by 12% every year. What will the population be after 2 years?
- 18.Write 7.7 × 10⁻¹ as a decimal. =
- 19.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
- 20.Solve: 3(x − 2) = 2x + 8. What is x?
- 21.How many whole numbers lie between 15² and 16²?
- 22.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
- 23.A square garden has an area of 1024 square m. How long is each side (in m)?
- 24.Find the compound interest on ₹46600 at 12% per year for 1 year, compounded every year (in ₹).
- 25.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 26.What is 24²? =
- 27.Solve: 5(m − 3) = 3m + 23. What is m?
- 28.How many whole numbers lie between 16² and 17²?
- 29.Find the compound interest on ₹36800 at 5% per year for 1 year, compounded every year (in ₹).
- 30.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?
- 31.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 32.What is 3³? =
- 33.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 34.Use a² − b² = (a + b)(a − b) to find 72² − 27².
- 35.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
- 36.What is √5476? =
- 37.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
- 38.9.7 × 10⁶ =
- 39.Find the compound interest on ₹20900 at 12% per year for 1 year, compounded every year (in ₹).
- 40.Which of these is a perfect square? (a) 749 (b) 750 (c) 729
Answer key
- 14
- 529
- 150
- 256
- 28
- 1722
- 1
- 1/100000
- 0.48
- 424
- 18
- 13
- 1/16
- 21
- 49
- 0.0076
- 6272
- 0.77
- 7
- 14
- 30
- 100
- 32
- 5592
- 19
- 576
- 19
- 32
- 1840
- 6
- 64
- 27
- 27783
- 4455
- 3
- 74
- 6
- 9700000
- 2508
- 729
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