- Rewrite the expression (2x+5)^2(x-4) with respect to x.

A) 4(2x+5)(x-4) B) 4(2x+5)(4x-3) C) (2x+5)(2x-13) D) (2x+5)(6x-11)

- Find the area enclosed by the curves y=4-x^2 and y=2x+1.

A) 20/3 square units B) 20/3 square units C) 10/3 square units D) 10/3 square units

- If V is the volume of a sphere and r is its radius, find the rate of change of V with respect to r when r=1.

A) 12π B) 4π C) 24π D) 8π

- If y=xsinx, find dy/dx when x=π/2.

A) -π/2 B) -1 C) 1 D) π/2

- Find the dimensions of a rectangle with the greatest area, given its perimeter is p.

A) square of sides p B) square of sides 2p C) square of sides p/2 D) square of sides p/4

- Given the scores 4, 7, 8, 11, 13, 8 with corresponding frequencies 3, 5, 2, 7, 2, 1 respectively, find the square of the mode.

A) 49 B) 121 C) 25 D) 64

- Two teams P and Q are playing a football match. What is the probability that the match will end in a draw?

A) 2/3 B) 1/2 C) 1/3 D) 1/4

- Given the scores 4, 7, 8, 11, 13, 8 with corresponding frequencies 3, 5, 2, 7, 2, 1 respectively, what is the mean score?

A) 7.0 B) 8.7 C) 9.5 D) 11.0

- If 6Pr=6, what is the value of 6Pr+1?

A) 30 B) 33 C) 35 D) 15

- A distribution of color beads includes blue, black, yellow, white, and brown, with frequencies 1, 2, 3, 4, and 5, respectively. What is the probability that a randomly picked bead will be blue or white?

A) 7/15 B) 2/5 C) 1/3 D) 1/15

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