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 an area of 296 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
- 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 3.Solve: 5(m − 2) = m + 10. What is m?
- 4.If a − b = 2 and ab = 99, what is a² + b²?
- 5.What amount will ₹6200 grow to in 1 year at 8% per year compound interest (in ₹)?
- 6.What amount will ₹52300 grow to in 1 year at 15% per year compound interest (in ₹)?
- 7.Use (a + b)(a − b) = a² − b² to find 47 × 33.
- 8.What is √5184? =
- 9.What is 4³? =
- 10.1.9 × 10⁴ =
- 11.Find the value of x² − 2xy + y² when x = 13 and y = 9.
- 12.What is the smallest whole number by which 200 must be divided to get a perfect cube?
- 13.Use (a − b)² = a² − 2ab + b² to find 34².
- 14.A square garden has an area of 196 square m. How long is each side (in m)?
- 15.What is the value of 2⁶ × 2⁻¹? =
- 16.A scooter is worth ₹37000. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
- 17.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
- 18.What is the value of 6⁴? =
- 19.A trapezium has an area of 168 square cm. Its parallel sides are 30 cm and 26 cm. What is the distance between them (in cm)?
- 20.A trapezium has an area of 58 square cm. Its parallel sides are 19 cm and 10 cm. What is the distance between them (in cm)?
- 21.What is 93²? =
- 22.Use (a + b)(a − b) = a² − b² to find 38 × 22.
- 23.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
- 24.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
- 25.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
- 26.What is the value of 10⁵? =
- 27.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
- 28.Find the compound interest on ₹11000 at 4% per year for 1 year, compounded every year (in ₹).
- 29.What is ∛8000? =
- 30.Use (a + b)(a − b) = a² − b² to find 109 × 91.
- 31.Use (a + b)² = a² + 2ab + b² to find 98².
- 32.Find the compound interest on ₹40500 at 15% per year for 1 year, compounded every year (in ₹).
- 33.Solve: 5(p − 3) = p + 21. What is p?
- 34.Write 1.7 × 10⁻³ as a decimal. =
- 35.The sum of three consecutive whole numbers is 171. What is the largest of them?
- 36.Use a² − b² = (a + b)(a − b) to find 95² − 52².
- 37.Solve: 6(y − 4) = 4y + 24. What is y?
- 38.What is 15³? =
- 39.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
- 40.What is √4489? =
Answer key
- 16
- 8
- 5
- 202
- 6696
- 60145
- 1551
- 72
- 64
- 19000
- 16
- 25
- 1156
- 14
- 32
- 35150
- 900
- 1296
- 6
- 4
- 8649
- 836
- 25
- 529
- 7
- 100000
- 1261
- 440
- 20
- 9919
- 9604
- 6075
- 9
- 0.0017
- 58
- 6321
- 24
- 3375
- 16
- 67
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