GRADE 6 - International Junior Math Olympiad
International Junior Math Olympiad
GRADE 6
Time Allowed: 90 minutes
Name:
Country:
INSTRUCTIONS
1. Please DO NOT OPEN the contest booklet until told to do so.
2. There are 30 questions.
Section A: Questions 1 to 10 score 2 points each, no points are
deducted for unanswered question and 1 point is deducted for
wrong answer.
Section B: Questions 11 to 20 score 3 points each, no points are
deducted for unanswered question and 1 point is deducted for
wrong answer.
Section C: Questions 21 to 30 score 5 points each, no points are
deducted for unanswered or wrong answer.
3. Shade your answers neatly using a 2B pencil in the Answer Entry
Sheet.
4. No one may help any student in any way during the contest.
5. No electronic devices capable of storing and displaying visual
information is allowed during the exam. Strictly NO CALCULATORS
are allowed into the exam.
6. No exam papers and written notes can be taken out by any
contestant.
GRADE 6
International Junior Math Olympiad Past Year Paper
SECTION A ¨C 10 questions
Question 1
Calculate the sum: 1 + 3 + 5 + ? + 97 + 99.
A. 2500
B. 2200
C. 5050
D. 2350
E. 4950
Question 2
Laura decorated each of her 24 cookies. She decorated 15 cookies with
green colour and 13 cookies with blue colour. How many cookies were
decorated with both green and blue colour?
A. 4
B. 3
C. 5
D. 6
E. 2
Question 3
The letters in the word MATHEMATICIAN were put in a box. What is the
chance of getting letter A?
A. 3 out of 9
B. 3 out of 10
C. 3 out of 13
D. 1 out of 11
E. 3 out of 11
Page 1
GRADE 6
International Junior Math Olympiad Past Year Paper
Question 4
What fraction of the square is shaded if the line inside divides the square
into two equal parts?
A.
1
B.
1
C.
3
D.
3
E.
3
2
3
8
5
4
Question 5
Mr. Cho received a container of fresh eggs. He sold
1
3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
1
found that 4 of the eggs were not sold. How many eggs did he receive in
the beginning?
A. 768
B. 448
C. 549
D. 1224
E. 1600
Question 6
Cindy saved $15 in the first month, $30 in the second month, $45 in the
third month, and so forth. The amount of money she saved in the last
month was $120. How much money did Cindy save in total?
A. 210
B. 300
C. 350
D. 420
E. 540
Page 2
GRADE 6
International Junior Math Olympiad Past Year Paper
Question 7
The value of
A.
3
B.
4
C.
5
D.
6
E.
7
1
2?
is equal to _____.
1
1
2? 1
2?
2
4
5
6
7
8
Question 8
There are 37 numbers on a roulette wheel: 0 and the whole numbers
from 1 to 36. What is the chance of getting a prime number?
A. 10 out of 37
B. 11 out of 37
C. 12 out of 37
D. 13 out of 37
E. 14 out of 37
Question 9
1
1
1
Round down ? = 1 + 22 + 32 + ? + 20112 to the nearest whole number.
A. 1
B. 2
C. 3
D. 4
E. Cannot be determined
Page 3
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