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: 5(p − 2) = 2p + 2. What is p?
- 2.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
- 3.Use (a + b)(a − b) = a² − b² to find 84 × 76.
- 4.A town has 38300 people. The population grows by 8% every year. What will the population be after 1 year?
- 5.Write 5.3 × 10⁻¹ as a decimal. =
- 6.Find the value of x² − y² when x = 13 and y = 11.
- 7.What amount will ₹2900 grow to in 1 year at 20% per year compound interest (in ₹)?
- 8.Write 4.3 × 10⁻⁴ as a decimal. =
- 9.A square garden has an area of 2209 square m. How long is each side (in m)?
- 10.A square garden has an area of 225 square m. How long is each side (in m)?
- 11.Use (a − b)² = a² − 2ab + b² to find 48².
- 12.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 13.What is the smallest whole number by which 40 must be divided to get a perfect cube?
- 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
- 15.If a − b = 6 and ab = 27, what is a² + b²?
- 16.A square garden has an area of 100 square m. How long is each side (in m)?
- 17.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
- 18.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
- 19.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
- 20.A cuboid is 6 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 21.Find the value of x² − y² when x = 6 and y = 2.
- 22.The diagonals of a rhombus are 12 cm and 27 cm. What is its area (in square cm)?
- 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
- 24.What is 96²? =
- 25.How many whole numbers lie between 27² and 28²?
- 26.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 27.Use (a − b)² = a² − 2ab + b² to find 75².
- 28.What is the value of 2⁷? =
- 29.Which of these is a perfect cube? (a) 2744 (b) 2979 (c) 2878
- 30.If a − b = 8 and ab = 20, what is a² + b²?
- 31.A father is 34 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
- 32.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
- 33.What is √625? =
- 34.Which of these is a perfect square? (a) 225 (b) 229 (c) 232
- 35.What is the value of 2⁵? =
- 36.What amount will ₹45000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 38.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 39.Find the value of x² − y² when x = 14 and y = 3.
- 40.What is 11³? =
Answer key
- 4
- 11
- 6384
- 41364
- 0.53
- 48
- 3480
- 0.00043
- 47
- 15
- 2304
- 10
- 5
- 16
- 90
- 10
- 1014
- 1176
- 6
- 152
- 32
- 162
- 2
- 9216
- 54
- 2646
- 5625
- 128
- 2744
- 104
- 11
- 12
- 25
- 225
- 32
- 56448
- 27
- 3
- 187
- 1331
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