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 trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 2.What is 4³? =
- 3.A trapezium has an area of 38 square cm. Its parallel sides are 12 cm and 7 cm. What is the distance between them (in cm)?
- 4.Find the value of x² + 2xy + y² when x = 10 and y = 7.
- 5.Solve: y/3 + y/2 = 40. What is y?
- 6.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
- 7.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
- 8.A trapezium has an area of 34 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
- 9.What is ∛8? =
- 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 11.What is ∛9261? =
- 12.A trapezium has an area of 209 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
- 13.Solve: t/2 + t/4 = 3. What is t?
- 14.What is the value of 5³? =
- 15.Which of these is a perfect square? (a) 486 (b) 513 (c) 484
- 16.A trapezium has an area of 117 square cm. Its parallel sides are 10 cm and 29 cm. What is the distance between them (in cm)?
- 17.Which of these is a perfect cube? (a) 78 (b) 72 (c) 64
- 18.A scooter is worth ₹14100. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
- 19.Solve: 3(n − 2) = n + 6. What is n?
- 20.Use (a − b)² = a² − 2ab + b² to find 99².
- 21.Use (a + b)² = a² + 2ab + b² to find 34².
- 22.What is 11³? =
- 23.How many whole numbers lie between 44² and 45²?
- 24.Find the compound interest on ₹11600 at 20% per year for 1 year, compounded every year (in ₹).
- 25.Write 3⁷ × 3⁶ as a single power 3ⁿ. What is n?
- 26.What is the difference between the compound interest and the simple interest on ₹2600 at 20% per year for 2 years (in ₹)?
- 27.Write 6.3 × 10⁻⁴ as a decimal. =
- 28.What is the value of 2¹⁶? =
- 29.Find the compound interest on ₹43100 at 10% per year for 2 years, compounded every year (in ₹).
- 30.Use (a + b)² = a² + 2ab + b² to find 106².
- 31.Which of these is a perfect square? (a) 1299 (b) 1326 (c) 1296
- 32.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 33.A trapezium has an area of 408 square cm. Its parallel sides are 29 cm and 19 cm. What is the distance between them (in cm)?
- 34.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 35.A trapezium has parallel sides of 27 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 36.What is the value of (2/9)⁻¹? =
- 37.What is √324? =
- 38.Which of these is a perfect square? (a) 1611 (b) 1672 (c) 1600
- 39.Use (a + b)² = a² + 2ab + b² to find 18².
- 40.Find the compound interest on ₹39100 at 10% per year for 1 year, compounded every year (in ₹).
Answer key
- 92
- 64
- 4
- 289
- 48
- 304
- 625
- 4
- 2
- 27
- 21
- 11
- 4
- 125
- 484
- 6
- 64
- 13395
- 6
- 9801
- 1156
- 1331
- 88
- 2320
- 13
- 104
- 0.00063
- 65536
- 9051
- 11236
- 1296
- 2400
- 17
- 726
- 376
- 9/2
- 18
- 1600
- 324
- 3910
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