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: 6(x − 2) = 2x + 8. What is x?
- 2.Solve: 9m + 20 = 5m + 40. What is m?
- 3.Write 9.5 × 10⁻³ as a decimal. =
- 4.What is 20³? =
- 5.Solve: m/5 + m/4 = 18. What is m?
- 6.A father is 14 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
- 7.Find the compound interest on ₹47100 at 20% per year for 2 years, compounded every year (in ₹).
- 8.What amount will ₹44700 grow to in 2 years at 10% per year compound interest (in ₹)?
- 9.What is the value of 5³ × 5⁻⁴? =
- 10.The sum of three consecutive whole numbers is 96. What is the largest of them?
- 11.Which of these is a perfect square? (a) 144 (b) 167 (c) 166
- 12.A square garden has an area of 2601 square m. How long is each side (in m)?
- 13.What is the value of 3⁶? =
- 14.What amount will ₹56000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 16.A trapezium has an area of 270 square cm. Its parallel sides are 27 cm and 9 cm. What is the distance between them (in cm)?
- 17.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
- 18.A cuboid is 15 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 19.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 20.Which of these is a perfect cube? (a) 230 (b) 216 (c) 280
- 21.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
- 22.What is the difference between the compound interest and the simple interest on ₹36000 at 20% per year for 2 years (in ₹)?
- 23.Use (a + b)² = a² + 2ab + b² to find 99².
- 24.What is the value of 3³ × 3⁻⁶? =
- 25.What is the difference between the compound interest and the simple interest on ₹39600 at 25% per year for 2 years (in ₹)?
- 26.Which of these is a perfect square? (a) 1028 (b) 1024 (c) 1043
- 27.What is the value of (5/7)⁻¹? =
- 28.A town has 11600 people. The population grows by 15% every year. What will the population be after 2 years?
- 29.What amount will ₹34000 grow to in 1 year at 15% per year compound interest (in ₹)?
- 30.A town has 42500 people. The population grows by 8% every year. What will the population be after 2 years?
- 31.What is the difference between the compound interest and the simple interest on ₹36400 at 25% per year for 2 years (in ₹)?
- 32.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
- 33.If a − b = 4 and ab = 45, what is a² + b²?
- 34.What is the value of 3² × 3⁻¹? =
- 35.What is 96²? =
- 36.What is the value of 2¹⁵? =
- 37.Solve: 6m + 11 = 4m + 25. What is m?
- 38.Which of these is a perfect square? (a) 1237 (b) 1238 (c) 1225
- 39.How many whole numbers lie between 10² and 11²?
- 40.What amount will ₹28400 grow to in 1 year at 25% per year compound interest (in ₹)?
Answer key
- 5
- 5
- 0.0095
- 8000
- 40
- 4
- 20724
- 54087
- 1/5
- 33
- 144
- 51
- 729
- 74536
- 27
- 15
- 6
- 642
- 11
- 216
- 361
- 1440
- 9801
- 1/27
- 2475
- 1024
- 7/5
- 15341
- 39100
- 49572
- 2275
- 5
- 106
- 3
- 9216
- 32768
- 7
- 1225
- 20
- 35500
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