# Early Secondary Mathematics Level 2 (M2) Placement Assessment

13 Questions | Total Attempts: 235  Settings  • 1.
A map is drawn to a scale of 1 : 2000. (a) What is the length in m of a line on the map measuring 15 cm? (b) The area of a plot is 25000 . What is its area in  on the map?
• A.

(a) 30 m (b) 62.5

• B.

(a) 30 m (b) 6250

• C.

(a) 300 m (b) 6250

• D.

(a) 30 m (b) 625

• E.

(a) 3 m (b) 625

• 2.
When x = 2, y = 5. Find y when x = -2
• A.

-5

• B.

5

• C.

0

• D.

-10

• E.

10

• 3.
Adam is x years old and his brother Brian is years old now. 3 years ago Brian was twice Adam's age now. How old are Adam and Brian now?
• A.

Adam is 4 and Brian is 16

• B.

Adam is 3 and Brian is 6

• C.

Adam is 3 and Brian is 9

• D.

Adam is 2 and Brian is 4

• E.

Adam is 2 and Brian is 8

• 4.
Solve the following equations:
• A.

(a) x = 2 (b) x = 2

• B.

(a) x = 1 (b) x = 2

• C.

(a) x = 2 (b) x = 1

• D.

(a) x = 1.5 (b) x = 1.6

• E.

(a) x = 1.6 (b) x = 2

• 5.
Tickets for a movie cost \$5 for adults and \$3.50 for children. A total of 70 tickets were sold and \$281 collected. How many adults and children went to the movie?
• A.

Adults = 24 children = 46

• B.

Adults = 20 children = 50

• C.

Adults = 22 children = 48

• D.

Adults = 25 children = 45

• E.

Adults = 23 children = 47

• 6.
Two sides of a rectangle are 12 cm and 5 cm. What is the length of the diagonal?
• 7.
An ice cream cone consists of a wafer cone that is 7 cm high and has a diameter at its widest part of 6 cm. A hemisphere of ice cream is placed on top of the cone. What is the approximate volume of the cone and ice cream together? Note:
• A.

78.5 cm cube

• B.

135 cm cube

• C.

22 cm cube

• D.

56.5 cm cube

• E.

98 cm cube

• 8.
The graph below shows two lines. What are the equations of line 1 and line 2?
• A.

Line 1: y = 2x + 3 Line 2: 4y = -3x + 1

• B.

Line 1: y = -2x + 3 Line 2: 4y = 3x + 4

• C.

Line 1: y = -2x + 3 Line 2: y = 3x + 4

• D.

Line 1: y = x + 3 Line 2: y = (3x + 1)/4

• E.

Line 1: y = -2x + 4 Line 2: y = 3x + 4

• 9.
What are the missing values of y in the table below:
• A.

9, 3, 12

• B.

-7, 3, 12

• C.

8, 4, 11

• D.

7, 3, 12

• E.

7, 4, 12

• 10.
At a price of \$x Jim can sell (4x - 20) toy cars. Jim earned a total of \$96 selling cars. (a) How many cars did he sell? (b) What was the price of each car?
• A.

(a) 12 cars (b) \$8

• B.

(a) 8 cars (b) \$12

• C.

(a) 24 cars (b) \$4

• D.

(a) 4 cars (b) \$24

• E.

(a) 9 cars (b) \$12

• 11.
A = {odd numbers between 0 and 20 inclusive} B = {even numbers between 0 and 20 inclusive} (a) How many numbers are in (b) How many numbers are in (c) How many numbers are in
• A.

(a) 20 (b) 10 (c) 1

• B.

(a) 20 (b) 0 (c) 0

• C.

(a) 20 (b) 10 (c) 1

• D.

(a) 10 (b) 10 (c) 0

• E.

(a) 10 (b) 10 (c) 1

• 12.
The table below shows the number of goals scored by players in a football competition. 6 teams competed, and each team had 11 players. (a) Find the value of x and y given that y = 2x (b) Find the mean number of goals scored by players who scored at least 1 goal.
• A.

(a) x = 3 y = 6 (b) 2.5

• B.

(a) x = 2 y = 4 (b) 2

• C.

(a) x = 2 y = 4 (b) 2.5

• D.

(a) x = 3 y = 6 (b) 2

• E.

(a) x = 3 y = 6 (b) 3

• 13.
A box contains 5 blue and 15 red balls. Andy picked a ball from the box without looking inside. (a) What is the probability of him picking a red ball? (b) What is the probability of him picking a blue ball? (c) If 5 red balls are removed from the box and Andy then randomly picks one of the remaining balls, what is the probability of it being red?
• A.

(a) 2/5 (b) 3/5 (c) 2/3

• B.

(a) 3/4 (b) 1/4 (c) 2/3

• C.

(a) 1/4 (b) 3/4 (c) 2/3

• D.

(a) 3/4 (b) 1/4 (c) 1/2

• E.

(a) 3/4 (b) 1/4 (c) 1/3