Further Mathematics Past Questions

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946

Find correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x - 6

A. 76\(^∘\)
B. 53\(^∘\)
C. 37\(^∘\)
D. 14\(^∘\)

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947

Solve: 4sin\(^2\)θ + 1 = 2, where 0º < θ < 180º

A. 60º 0r 120º
B. 30º 0r 150º
C. 30º 0r 120º
D. 60º 0r 150º

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948

Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥ 0.

A. x ≤ -5 or x ≥ \(\frac{3}{2}\)
B. x ≥ -5 or x ≤\(\frac{3}{2}\)
C. -5 ≤ x ≤ \(\frac{3}{5}\)
D. \(\frac{3}{5}\) ≤ x ≤ -5

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949

The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one student will graduate?

A. 0.06
B. 0.22
C. 0.78
D. 0.80

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950

The equation of a circle is given as 2x\(^2\) + 2y\(^2\) - x - 3y - 41 = 0. Find the coordinates of its centre.

A. (\(\frac{-1}{4}\), \(\frac{3}{4}\))
B. (\(\frac{1}{4}\), \(\frac{3}{4}\))
C. (\(\frac{-1}{2}\), \(\frac{3}{2}\))
D. (\(\frac{-1}{2}\), \(\frac{-3}{2}\))

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