Mathematics Crushers

If p and q are two non-zero numbers and 18(p+q) = (18+p)q, which of the following must be true?

A. q = 18

B. p = 18

C. p < 1

D. q < 1

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The graph of the relation y = x+ 2x + k passes through the point (2, 0). Find the value of k.

Options
A) zero

B) —2

C) —4

D) —8

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“The only one who can tell you “you can’t win” is you and you don’t have to listen.”

©Jessica Ennis

“Set your goals high, and don’t stop till you get there.”

©Bo Jackson

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A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A) 336

B) 420

C) 576

D) 720

E) None

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Find n if:

log₂4 + log₂7 — log₂n = 1

A) 10

B) 14

C) 27

D) 28

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In one and a half hours, the minute hand of a clock rotates through an angle of?

A) 90°

B) 180°

C) 640°

D) 450°

E) 540°

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Find the derivative of:

y = sin²(5x)

A) 2 sin 5x

B) 10 cos 5x

C) 20 sin 5x cos 5x

D) 2 sin 5x cos 5x

E) None of the above

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Make t the subject of the formula:

s = ut + ½at²

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Integrate

(x² — √x)
---------------- with respect to x.
x

Find the value of r if:

log₁₀ r + log₁₀ r³ + 2log₁₀ r⁴ = 20

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The range of the data:

k+2, k—3, k+4, k—2, k—5, k+3, k—1 and k+6 is?

A) 11

B) 4

C) 5

D) 8

E) 7

Three consecutive terms of a geometric progression are given as n—2, n and n+3.

Find the common ratio.

A) ³/₂

B) 4

C) 6

D) ¼