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.Write 4.4 × 10⁻¹ as a decimal. =
- 2.What is the value of 10⁵ × 10⁻⁵? =
- 3.What is the value of 2¹ × 2⁻⁵? =
- 4.Find the compound interest on ₹38300 at 10% per year for 2 years, compounded every year (in ₹).
- 5.What amount will ₹42200 grow to in 2 years at 20% per year compound interest (in ₹)?
- 6.What is the value of 5³ × 5⁻¹? =
- 7.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 8.What is 14³? =
- 9.How many whole numbers lie between 9² and 10²?
- 10.What is √1024? =
- 11.Solve: p/5 + p/2 = 35. What is p?
- 12.Write 2⁹ ÷ 2⁴ as a single power 2ⁿ. What is n?
- 13.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
- 14.Write 4⁵ × 4⁵ as a single power 4ⁿ. What is n?
- 15.Solve: 4(y − 4) = y + 2. What is y?
- 16.Find the compound interest on ₹7700 at 25% per year for 1 year, compounded every year (in ₹).
- 17.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 18.Which of these is a perfect square? (a) 1490 (b) 1505 (c) 1444
- 19.What is 9³? =
- 20.Find the value of x² + 2xy + y² when x = 9 and y = 4.
- 21.Find the compound interest on ₹51800 at 15% per year for 1 year, compounded every year (in ₹).
- 22.Write 1.7 × 10⁻² as a decimal. =
- 23.Use (a + b)² = a² + 2ab + b² to find 105².
- 24.Which of these is a perfect square? (a) 791 (b) 784 (c) 792
- 25.How many whole numbers lie between 28² and 29²?
- 26.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
- 27.If a − b = 3 and ab = 70, what is a² + b²?
- 28.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
- 29.Which of these is a perfect cube? (a) 729 (b) 768 (c) 757
- 30.What is √256? =
- 31.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
- 32.Solve: x/5 + x/6 = 55. What is x?
- 33.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
- 34.Find the compound interest on ₹47300 at 10% per year for 1 year, compounded every year (in ₹).
- 35.Use (a + b)(a − b) = a² − b² to find 26 × 14.
- 36.Use (a − b)² = a² − 2ab + b² to find 98².
- 37.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 38.What is the value of 7⁵? =
- 39.What is ∛1728? =
- 40.If a − b = 5 and ab = 6, what is a² + b²?
Answer key
- 0.44
- 1
- 1/16
- 8043
- 60768
- 25
- 3
- 2744
- 18
- 32
- 50
- 5
- 676
- 10
- 6
- 1925
- 2904
- 1444
- 729
- 169
- 7770
- 0.017
- 11025
- 784
- 56
- 4
- 149
- 8
- 729
- 16
- 25
- 150
- 13
- 4730
- 364
- 9604
- 64827
- 16807
- 12
- 37
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