Early Secondary Mathematics Level 2 (m2) Placement Assessment

13 Questions

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Early Secondary Mathematics Level 2 (m2) Placement Assessment

Questions and Answers
  • 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