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.Find the compound interest on ₹31900 at 10% per year for 1 year, compounded every year (in ₹).
- 2.A square garden has an area of 256 square m. How long is each side (in m)?
- 3.Write 99,00,000 in standard form as 9.9 × 10ⁿ. What is n?
- 4.What amount will ₹23200 grow to in 2 years at 5% per year compound interest (in ₹)?
- 5.What is the value of (5/9)⁻¹? =
- 6.Solve: 3p + 9 = 2p + 10. What is p?
- 7.What is the smallest whole number by which 375 must be divided to get a perfect cube?
- 8.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
- 9.Write 6.3 × 10⁻¹ as a decimal. =
- 10.Solve: 4t + 3 = 2t + 19. What is t?
- 11.A square garden has an area of 144 square m. How long is each side (in m)?
- 12.What is the value of 6³? =
- 13.Use (a + b)(a − b) = a² − b² to find 46 × 34.
- 14.What is √2704? =
- 15.Use (a − b)² = a² − 2ab + b² to find 25².
- 16.What is 82²? =
- 17.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
- 18.What is the value of 5⁴? =
- 19.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
- 20.Use (a + b)² = a² + 2ab + b² to find 48².
- 21.What is √7225? =
- 22.What is √5041? =
- 23.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
- 24.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
- 25.Use a² − b² = (a + b)(a − b) to find 34² − 12².
- 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 27.What is the difference between the compound interest and the simple interest on ₹27500 at 12% per year for 2 years (in ₹)?
- 28.Find the value of x² + 2xy + y² when x = 15 and y = 8.
- 29.What is √6084? =
- 30.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 31.4.5 × 10² =
- 32.Use (a + b)² = a² + 2ab + b² to find 16².
- 33.A trapezium has an area of 56 square cm. Its parallel sides are 7 cm and 9 cm. What is the distance between them (in cm)?
- 34.Solve: p/5 + p/6 = 77. What is p?
- 35.Write 8,200 in standard form as 8.2 × 10ⁿ. What is n?
- 36.A trapezium has an area of 250 square cm. Its parallel sides are 11 cm and 14 cm. What is the distance between them (in cm)?
- 37.Solve: m/2 + m/5 = 28. What is m?
- 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
- 39.What is 3³? =
- 40.A trapezium has parallel sides of 22 cm and 15 cm, and the distance between them is 12 cm. What is its area (in square cm)?
Answer key
- 3190
- 16
- 6
- 25578
- 9/5
- 1
- 3
- 52
- 0.63
- 8
- 12
- 216
- 1564
- 52
- 625
- 6724
- 1536
- 625
- 3
- 2304
- 85
- 71
- 3
- 9
- 1012
- 3
- 396
- 529
- 78
- 64
- 450
- 256
- 7
- 210
- 3
- 20
- 40
- 5
- 27
- 222
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