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 scooter is worth ₹18300. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
- 2.A town has 24200 people. The population grows by 15% every year. What will the population be after 1 year?
- 3.Use (a + b)² = a² + 2ab + b² to find 37².
- 4.Solve: 8n + 6 = 5n + 9. What is n?
- 5.Use (a + b)² = a² + 2ab + b² to find 23².
- 6.What is √1024? =
- 7.How many whole numbers lie between 10² and 11²?
- 8.What amount will ₹22400 grow to in 2 years at 25% per year compound interest (in ₹)?
- 9.Use (a + b)(a − b) = a² − b² to find 46 × 34.
- 10.Use (a + b)(a − b) = a² − b² to find 33 × 27.
- 11.Write 4.7 × 10⁻² as a decimal. =
- 12.Use (a − b)² = a² − 2ab + b² to find 19².
- 13.1.8 × 10² =
- 14.Solve: 4(p − 1) = 2p + 14. What is p?
- 15.A cuboid is 11 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 16.Use (a + b)(a − b) = a² − b² to find 91 × 89.
- 17.What is √9409? =
- 18.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
- 19.What is 46²? =
- 20.A square garden has an area of 3481 square m. How long is each side (in m)?
- 21.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
- 22.Find the compound interest on ₹28400 at 15% per year for 1 year, compounded every year (in ₹).
- 23.What is the value of 9⁻³ (as a fraction)? =
- 24.How many whole numbers lie between 5² and 6²?
- 25.Use (a + b)² = a² + 2ab + b² to find 28².
- 26.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
- 27.Use a² − b² = (a + b)(a − b) to find 69² − 44².
- 28.Find the compound interest on ₹7500 at 4% per year for 2 years, compounded every year (in ₹).
- 29.Solve: 4(n − 2) = 3n + 7. What is n?
- 30.Use (a + b)² = a² + 2ab + b² to find 34².
- 31.Find the compound interest on ₹35000 at 4% per year for 2 years, compounded every year (in ₹).
- 32.A trapezium has parallel sides of 18 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 33.Use (a − b)² = a² − 2ab + b² to find 15².
- 34.What is the value of 3⁵? =
- 35.Write 2¹¹ ÷ 2² as a single power 2ⁿ. What is n?
- 36.What is the value of 4⁶? =
- 37.What is 23²? =
- 38.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
- 39.Write 4² × 4³ as a single power 4ⁿ. What is n?
- 40.Solve: x/2 + x/3 = 35. What is x?
Answer key
- 17385
- 27830
- 1369
- 1
- 529
- 32
- 20
- 35000
- 1564
- 891
- 0.047
- 361
- 180
- 9
- 540
- 8099
- 97
- 7
- 2116
- 59
- 15
- 4260
- 1/729
- 10
- 784
- 12
- 2825
- 612
- 15
- 1156
- 2856
- 210
- 225
- 243
- 9
- 4096
- 529
- 676
- 5
- 42
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