# Math Puzzle 33

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**1) A box contains five red marbles and seven white marbles. If one marble is drawn at random from the box, what is the probability that it is white?**

A. 1/5 B. 1/7 C. 5/7 D. 5/12 E. 7/12

**2) If the n th term of a sequence is given by Tn = (-1)**

^{n}2^{n-1}, then which of the following could be the 9th term of the sequence?A. 256 B. 128 C. -128 D. -256 E. -512

**3) In a system where there are 100 minutes in an hour and 100 seconds in a minute, how many seconds are there in an hour?**

A. 3600 B. 60 C. 100 D. 10000 E. 1/100

**4) If (a + 3) (a + k) = a 2 + 5a + p, then which of the following could be value of k and p?**

A. k = 3, p = 3 B. k = 1, p = 6 C. k = 2, p = 6

D. k = 2, p = 5 E. k = -2, p = -6

**5) A box of chocolates contains 12 hard centres and 8 soft centres. One chocolate is taken at random and eaten; then a second chocolate is taken. What is the probability the one is a hard centre and one a soft center?**

A. 24/95 B. 48/95 C. 12/19 D. 4/5 E. 16/95

**6) What is the area of the rectangle whose vertices are (a, 2b), (a, -b), (-3a, -b) and (-3a, 2b)?**

A. ab B. 3ab C. 4ab D. 8ab E. 12ab

**7)Refer to the following definition: For all positive integers x, X =√x . Which of the following equals 3?**

A. 3 B. 6 C. 9 D. 27 E. 81

**8) If the sum of interior angles of a polygon is five times the sum of its exterior angles, how many sides are there?**

A. 9 B. 12 C. 15 D. 20 E. 24

**9) Bag A contains 3 white and 2 red balls. Bag B contains 1 white and 3 red balls. A ball is taken at random from Bag A and placed in Bag B. A ball is then chosen from Bag B. What is the probability that the ball taken from Bag B is red?**

A. 3/5 B. 9/25 C. 6/25 D. 1/5 E. 7/25

**10) Each angle of a cyclic quadrilateral is either 110 0 or 70 0 . This quadrilateral must be a**

A. Rhombus B. Trapezium C. Parallelogram D. Square E. None of the above

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