Mathematics

Q. A box contains 4 white and 6 black balls. What is the probability of drawing a black ball? (2023)
  • A. 2/5
  • B. 3/5
  • C. 4/5
  • D. 1/5
Q. A box contains 4 white and 6 black balls. What is the probability of picking a black ball?
  • A. 2/5
  • B. 3/5
  • C. 4/5
  • D. 1/5
Q. A box contains 5 white and 3 black balls. What is the probability of drawing a black ball?
  • A. 3/8
  • B. 5/8
  • C. 1/2
  • D. 1/3
Q. A box contains 5 white and 3 black balls. What is the probability of picking a black ball? (2021)
  • A. 3/8
  • B. 5/8
  • C. 1/2
  • D. 1/3
Q. A card is drawn from a standard deck of 52 cards. What is the probability of drawing a heart?
  • A. 1/4
  • B. 1/13
  • C. 1/2
  • D. 1/52
Q. A chord of a circle is 12 cm long and is 5 cm away from the center. What is the radius of the circle? (2020)
  • A. 10 cm
  • B. 13 cm
  • C. 15 cm
  • D. 12 cm
Q. A circle has a diameter of 20 cm. What is its circumference? (2022)
  • A. 62.8 cm
  • B. 40 cm
  • C. 31.4 cm
  • D. 20 cm
Q. A circle has a radius of 10 cm. What is the diameter? (2020)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. A circle has a radius of 5 cm. What is the length of an arc that subtends a central angle of 60 degrees? (2021)
  • A. 5.24 cm
  • B. 10.47 cm
  • C. 3.14 cm
  • D. 6.28 cm
Q. A circle has a radius of 5 cm. What is the length of an arc that subtends an angle of 60 degrees at the center? (2020)
  • A. 5.24 cm
  • B. 3.14 cm
  • C. 5.00 cm
  • D. 10.47 cm
Q. A circle has a radius of 5 cm. What is the length of an arc that subtends an angle of 60 degrees? (2023)
  • A. 5.24 cm
  • B. 3.14 cm
  • C. 5.00 cm
  • D. 10.47 cm
Q. A circle has an area of 154 cm². What is the radius? (2019)
  • A. 7 cm
  • B. 14 cm
  • C. 21 cm
  • D. 28 cm
Q. A circle has an area of 154 cm². What is the radius? (2019) 2019
  • A. 7 cm
  • B. 14 cm
  • C. 21 cm
  • D. 28 cm
Q. A circle has an area of 78.5 cm². What is its radius? (Use π = 3.14) (2019)
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 12 cm
Q. A circle has an area of 78.5 cm². What is the radius? (Use π = 3.14) (2022)
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 12 cm
Q. A circle is inscribed in a square of side 10 cm. What is the area of the circle? (Use π = 3.14) (2020)
  • A. 78.5 cm²
  • B. 50 cm²
  • C. 100 cm²
  • D. 25 cm²
Q. A circle is inscribed in a square of side 10 cm. What is the area of the circle? (2019)
  • A. 78.5 cm²
  • B. 100 cm²
  • C. 50 cm²
  • D. 25 cm²
Q. A circle is inscribed in a square of side 8 cm. What is the area of the circle? (2022)
  • A. 50.24 cm²
  • B. 64 cm²
  • C. 25.12 cm²
  • D. 32 cm²
Q. A cylindrical can is to be made with a fixed volume of 1000 cm³. What dimensions minimize the surface area? (2022)
  • A. 10 cm height, 10 cm radius
  • B. 5 cm height, 15.87 cm radius
  • C. 8 cm height, 12.5 cm radius
  • D. 12 cm height, 8.33 cm radius
Q. A cylindrical can is to be made with a fixed volume of 1000 cm³. What dimensions minimize the surface area? (2022) 2022
  • A. 10, 10
  • B. 5, 20
  • C. 8, 15
  • D. 6, 18
Q. A cylindrical can is to be made with a volume of 1000 cm³. What dimensions minimize the surface area? (2021)
  • A. 10, 10
  • B. 5, 20
  • C. 8, 15
  • D. 6, 18
Q. A farmer wants to fence a rectangular area of 200 m^2. What dimensions will minimize the fencing required? (2021)
  • A. 10, 20
  • B. 14, 14.28
  • C. 15, 13.33
  • D. 20, 10
Q. A jar contains 10 candies, 4 of which are chocolate. What is the probability of selecting a chocolate candy?
  • A. 2/5
  • B. 1/2
  • C. 4/10
  • D. 3/10
Q. A jar contains 4 green, 5 yellow, and 1 red marble. What is the probability of picking a yellow marble? (2019)
  • A. 1/10
  • B. 1/5
  • C. 1/2
  • D. 5/10
Q. A jar contains 6 green and 4 yellow marbles. What is the probability of picking a yellow marble?
  • A. 2/5
  • B. 1/2
  • C. 4/10
  • D. 3/5
Q. A rectangle has a perimeter of 40 cm. What dimensions will maximize the area? (2022)
  • A. 10 cm by 10 cm
  • B. 15 cm by 5 cm
  • C. 20 cm by 0 cm
  • D. 12 cm by 8 cm
Q. A rectangle has a perimeter of 40 units. What dimensions maximize the area? (2022) 2022
  • A. 10, 10
  • B. 5, 15
  • C. 8, 12
  • D. 6, 14
Q. A rectangle has a perimeter of 40 units. What dimensions maximize the area? (2022)
  • A. 10, 10
  • B. 8, 12
  • C. 6, 14
  • D. 5, 15
Q. A student has a 70% chance of passing an exam. What is the probability of failing the exam?
  • A. 0.3
  • B. 0.7
  • C. 0.5
  • D. 0.2
Q. Calculate the coefficient of x^2 in the expansion of (x + 1/2)^6.
  • A. 15/4
  • B. 45/8
  • C. 15/8
  • D. 5/4
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