MPM1D
Grade 9
EQAO MEASUREMENT PRACTICE
Please, work on the following questions taken from previous EQAO
tests.
1. Elisa wants to pack CD cases into a storage box.
What is the largest number of CD cases Elisa can pack inside the
covered storage box?
2. The cylinder below has a volume of 150 𝑐𝑚3 .
Which of the following is closest to the lateral surface area of the
cylinder?
3. The playing chips of a board game are stored in cylindrical plastic
cases. The plastic cases have a volume of 25 120 𝑚𝑚3 and diameter of
40 mm.
Which of the following is closest to the height of
one playing chip if 50 playing chips can fit into
the plastic case as shown above?
4. Herman uses his scientific calculator to determine the value of the
4
expression 𝜋(3.5)3 . What is the approximate value of this expression?
3
5. If the radius of a sphere is tripled, the surface area of the sphere will
increase
a
by a factor of 3
c by a factor of 6
b by a factor of 4
d
by a factor of 9
6. Which of the following fish tanks would contain an amount of water
represented by the expression 𝑉 = 24 𝑥 2 𝑦 when completely full?
7. Amanda sells flavoured milk for a school business fair. The milk
containers are in the shape of rectangular prisms, each with a length of
10 cm, a width of 8 cm and a height of 12 cm.
Amanda decides to make a larger container. Which set of new
dimensions would triple the volume of the original container and require
the least amount of packaging?
8. Brad has a cylindrical metal container that is open at the top. He
wants to paint the outer surfaces of the container, including the bottom.
Which expression should he use to calculate the area to be painted?
9. A box with a volume of 12𝑥 2 𝑦 2 is shown below.
10. The mould below is used to make a candle in the shape of a
square-based pyramid.
What is the volume of the mould?
11. A CD case has the dimensions shown in the drawing below.
12. The cone shown below is 20 cm high and has a volume of 1000
𝑐𝑚3 .
Which of the following is closest to the length of the radius, r?
13. A fully opened parachute is shaped like a hemisphere and
has a diameter of 8 m, as shown below.
Which of the following is closest to te volume of air that can fit
in the fully opened parachute?
14. If the diameter of a volleyball is three times the diameter of a
tennis ball, which statement below is true?
a. The volume of the volleyball is 3 times the volume of the tennis ball.
b. The volume of the volleyball is 9 times the volume of the tennis ball.
c. The surface area of the volleyball is 9 times the surface area of the
tennis ball.
d. The surface area of the volleyball is 27 times the surface area of the
tennis ball.
15. A cone-shaped water cup is shown below.
Which of the following is closest to the height of the cup, h?
16. Sand is being poured from one container to another, as shown
below. The sand flows from the shaded part to the unshaded cone.
The shaded part starts full of sand. The
sand empties into the unshaded cone
and fills it to the top. What is the height
of the unshaded cone?
17. Tennis Inc. has decided to package 4 tennis balls in a box shaped
like a rectangular prism. Tennis balls have a radius of 5 cm.
Which set of dimensions would tightly fit 4 tennis balls?
18. An oil tank shaped like a cylinder has a raduis of 92 cm and a length
of 152 cm, as shown below.
Which of the following is closest to the volume of the oil tank?
Open-Response
1. A Day at the Beach
Lisa has a beach ball that is in the shape of a sphere as shown below.
The surface area of the beach ball is divided into 6 equal-sized sections
of different colours.
Determine the area of one section of the ball. Show your work.