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Further Mathematics Past Questions and Answers

Further Mathematics Past Questions


Question 21 :


How many numbers greater than 150 can be formed from the digits 1, 2, 3, 4, 5 without repetition?

A. 91
B. 191
C. 291
D. 391


Question 22 :


The first term of a Geometric Progression (GP) is \(\frac{3}{4}\), If the product of the second and third terms of the sequence is 972, find its common ratio.

A. 3
B. 4
C. 6
D. 12


Question 23 :


If \(\sin\theta = \frac{3}{5}, 0° < \theta < 90°\), evaluate \(\cos(180 - \theta)\).

A. \(\frac{4}{5}\)
B. \(\frac{3}{5}\)
C. \(\frac{-3}{5}\)
D. \(\frac{-4}{5}\)


Question 24 :


Find the radius of the circle \(x^{2} + y^{2} - 8x - 2y + 1 = 0\).

A. 9
B. 7
C. 4
D. 3


Question 25 :


In how many ways can the letters of the word 'ELECTIVE' be arranged?

A. 336
B. 1680
C. 6720
D. 20160






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