The CENTRE for EDUCATION
in MATHEMATICS and COMPUTING
cemc.uwaterloo.ca
1. In the diagram, the area of the shaded middle ring is 6 times
the area of the smallest circle. The area of the unshaded
outer ring is 12 times the area of the smallest circle. What
fraction of the area of the largest circle is the area of the
smallest circle?
(A)
(B)
(C)
(D)
(E)
2. The number 503 is a prime number. How many positive integers are factors of
2012?
(A)
(B)
(C)
(D)
(E)
3. Five students ran a race. Ryan was faster than Henry and Faiz. Henry was slower
than Faiz. Toma was faster than Ryan but slower than Omar. Which student
finished fourth?
(A) Faiz
(B) Henry
(C) Omar
(D) Ryan
(E) Toma
4. The digits 2, 4, 6 and 8 are each used once to create two 2-digit numbers. What is
the largest possible difference between the two 2-digit numbers?
(A)
(B)
(C)
5. In the diagram shown,
(D)
is a straight line
segment. The measure of
is
(A)
(B)
(C)
(D)
(E)
6. In the graph shown, which of the following
represents the image of the line segment
a reflection across the
(A)
(B)
(D)
(E)
-axis?
(C)
after
(E)
7. A fraction is equivalent to
. Its denominator and numerator add up to 91. What
is the difference between the denominator and numerator of this fraction?
(A)
(B)
8. Square
has an area of
square
(A)
(C)
cm
. The area of square
The perimeter of square
cm
(B)
cm
(D)
(C)
(E)
is four times the area of
is
cm
(D)
cm
(E)
cm
9. While driving at 80 km/h, Sally's car passes a hydro pole every four seconds.
Which of the following is closest to the distance between two neighbouring hydro
poles?
(A)
m
(B)
m
(C)
m
(D)
m
(E)
m
10. Sarah's hand length is 20 cm. She measures the dimensions of her rectangular floor
to be 18 by 22 hand lengths. Which of the following is the closest to the area of the
floor?
(A)
(D)
cm
cm
(B)
cm
(E)
cm
(C)
cm
11. A box contains a total of 400 tickets that come in five colours: blue, green, red,
yellow and orange. The ratio of blue to green to red tickets is
green to yellow to orange tickets is
. The ratio of
. What is the smallest number of tickets
that must be drawn to ensure that at least 50 tickets of one colour have been
selected?
(A)
(B)
(C)
(D)
(E)