Math Problems : 2011 UNB - Grade 9 (Part A)
11:56 PM
Muhammad Yusuf
, Posted in
University Of New Brunswick
Junior High School Mathematics Competition
2011 – Grade 9
1. If x is equal to ½ , what is the value of
(A) 2/5 (B) 9/10 (C) 10/9 (D) 5/2 (E) None of these
2. One third of the birds in a cage are blue. Forty of the 60 females are blue, while 25% of the males are blue. How many birds are in the cage ?
(A) 60 (B) 120 (C) 180 (D) 240 (E) 300
3. Define a new arithmetic operation a ✴ b = b2 - 2a. Then (3 ✴ 4) ✴ 5 is equal to:
(A) 5 (B) 15 (C) 23 (D) 60 (E) 90
4. The largest of four consecutive integers is twice as large as the smallest. The sum of these four integers is
(A) 10 (B) 14 (C) 18 (D) 24 (E) None of these
5. Three planets revolving in the same direction around the same star are in a straight line with the star. The first planet completes one revolution in 4 years, the second one in 6 years and the third one in 9 years. In how many years will the three planets return to their current position ?
(A) 18 (B) 24 (C) 30 (D) 36 (E) 42
6. This year, my father’s age is twice my age. Ten years ago my age was one-third the age of my father. The sum of our ages is:
(A) 30 (B) 40 (C) 50 (D) 60 (E) 70
7. In a test consisting of 15 multiple choice questions, four points are awarded for each correct answer, and two points are deducted for each wrong answer. Alex answered all the questions and scored 30. How many questions did he answer correctly ?
(A) 8 (B) 10 (C) 12 (D) 14 (E) 16
8. Of the numbers below, which is the largest that could be the perimeter of some triangle of which two sides have lengths 4 and 5 ?
(A) 13 (B) 15 (C) 17 (D) 19 (E) 21
9. There are 15 marbles in a box. They come in three colors: green, blue and red. There are seven times as many blue marbles as red marbles. How many green marbles are in the box ?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7
10. John spent almost all his money in four stores. In each of these stores, he spent half of the money that he had going in plus $1. At the end, he was left with $1. How much money did John have at the beginning?
(A) $4 (B) $10 (C) $22 (D) $46 (E) $94
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