Higher Secondary Mathematics Level 1 (h1) Placement Assessment

11 Questions

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Higher Secondary Mathematics Level 1 (h1) Placement Assessment

Note: Please keep your scientific calculator handy for this quiz! Use it only for the questions where it says you should use a calculator.


Questions and Answers
  • 1. 
    The product of two positive consecutive odd numbers is 255. What is the smaller number?
  • 2. 
    Solve for x:
    • A. 

      X = 0.6

    • B. 

      X = 1

    • C. 

      X = 0.5

    • D. 

      X = 2

    • E. 

      X = 2.5

  • 3. 
    Given that x is an integer and the following inequalities, what is the smallest and largest possible value of x:
    • A. 

      Smallest = 4 largest = 13

    • B. 

      Smallest = 3 largest = 13

    • C. 

      Smallest = 3 largest = 14

    • D. 

      Smallest = 4 largest = 14

    • E. 

      Smallest = 4 largest = 15

  • 4. 
    The coordinates of points A, B and C are (-2,0), (3,0) and (0,5) respectively. Point D is such that ABCD is a parallelogram. (a) What are the coordinates of D? (b) What is the equation of line BD?
    • A. 

      (a) (5,0) (b) y = 2.5x - 5

    • B. 

      (a) (5,5) (b) y = 2.5x - 7.5

    • C. 

      (a) (-5,0) (b) y = 2.5x + 5

    • D. 

      (a) (5,5) (b) y = 2.5x + 5

    • E. 

      (a) (5,5) (b) y = 2.5x - 5

  • 5. 
    Solve the following matrix equation for a and b:
    • A. 

      A = 2 b = 10

    • B. 

      A = -4 b = 15

    • C. 

      A = 15 b = -4

    • D. 

      A = -10 b = 12

    • E. 

      A = 3 b = 12

  • 6. 
    Kamal deposits $5000 into a bank account that pays him 5% annual interest, paid to him biannually (i.e. every 6 months). After 6 months he borrows $80,000 from the same bank to buy a house. The annual interest on the house loan is 9% and it is paid annually. What is the net interest payment that Kamal needs to pay one year after he took the house loan?
    • A. 

      $2200

    • B. 

      $6950

    • C. 

      $7200

    • D. 

      $7075

    • E. 

      $4700

  • 7. 
    The graph below shows the sales and costs of a company that sells juices. What is: (a) The number of juices it needs to sell to break even? (b) The total expense (in $) in selling 400 juices? (c) The loss incurred (in $) in selling 400 juices? (c) The profit made (in $) by selling 1000 juices?
    • A. The number of juices it needs to sell to break even?
    • A.
    • B. The total expense (in $) in selling 400 juices?
    • B.
    • C. The loss incurred (in $) in selling 400 juices?
    • C.
    • D. The profit made (in $) by selling 1000 juices?
    • D.
  • 8. 
    In the diagram below, find the values of x and y:
    • A. 

      X = 28.8 y = 25.2

    • B. 

      X = 28 y = 25

    • C. 

      X = 25 y = 28

    • D. 

      X = 22 y = 25

    • E. 

      X = 25.8 y = 22.2

  • 9. 
    A large circle has a radius of 8 cm and a small circle has a radius of 4 cm. Two sectors with the same angle is cut out of the two circles. If the area of the larger sector is  what is the difference in area of the larger and smaller sectors?
    • A. 

      14 cm square

    • B. 

      42 cm square

    • C. 

      16 cm square

    • D. 

      48 cm square

    • E. 

      36 cm square

  • 10. 
    ABCD is a rhombus of side 6.7 cm and the larger angle is is . Find the length of the longer diagonal AC correct to 1 decimal place. Note: You can use your calculator for this question
  • 11. 
    Given that O is the centre of the circle, find the values of x and y in the following figure:
    • A. 

      X = 119 degrees, y = 61 degrees

    • B. 

      X = 120 degrees, y = 60 degrees

    • C. 

      X = 118 degrees, y = 62 degrees

    • D. 

      X = 121 degrees, y = 59 degrees

    • E. 

      X = 122 degrees, y = 58 degrees