Math Test

• The test consists of practice questions and graded questions
• Calculators are not permitted
• 30 minutes are allocated to complete the test

Practice Questions

• These serve as examples of the questions on the real test

Example 1

• Calculates 5 + 2, with multiple choice answers

Example 2

• Identifies the largest number from a list: 403, 4600, 406, 4060, and None of these

Example 3

• Determines the value the circled number represents in 48➆9

Question 1

• Evaluates -10 - -3 - -4 + 5

Question 2

• Calculates -96 ÷ -6 ÷ 8

Question 3

• Determines the amount Jo still owes on a $6000 car after paying a 15% deposit

Question 4

• Solves 5 × -2 - (8 - 12) + 16 ÷ -8

Question 5

• Finds 8% of $600

Question 6

• Identifies the longest distance among 3500cm, 65.5m, 75000mm, 15.5m, and 0.1km

Question 7

• Calculates the perimeter of an irregular shape with sides of 12cm, 25cm and 10cm

Question 8

• Finds the circumference of a circle given a shorter arc AB of 22cm, where C is the center and angle ACB is 45°

Question 9

• Determines how many fligs are in 12 flugs when 2 fligs = 1 flog, and 3 flogs = 1 flug

Question 10

• Completes the ratio: If 2 1/3 : 4 1/3 then 7 : ?

Question 11

• Determines the amount of sand needed to make 125 tonnes of concrete using a 3:1:15 ratio of screenings:cement:sand

Question 12

• Calculates angle a° in a geometric figure where other angles are 127° and 87°

Question 13

• Determines the value of angle x° given parallel lines and a 56° angle

Question 14

• Using a provided graph, finds how many students studied for more than 8 hours per week

Question 15

• Using a provided graph, finds how many students studied for 6 hours or less per week

Question 16

• Calculates the probability of throwing a total of 10 with two six-sided dice

Question 17

• Determines the gradient of a line that passes through (-1,3) and (5,-1)

Question 18

• Identifies the y-intercept of a given graph

Question 19

• Selects the correct inequation for "x is 6 or less and more than – 5"

Question 20

• Expands and simplifies -6(2x - 3) - 11

Question 21

• Selects the net that would make the given 3D solid

Question 22

• Calculates the distance Linda runs around a rectangular field (40m x 30m) from A to B to D to C to A

Question 23

• Simplifies the surd 3√56

Question 24

• Determines the length of side x in a triangle with sides of 5cm, 4cm and 3cm

Question 25

• Determines the length AG in a rectangular box

Question 26

• Calculates the new value of a $7700 car after depreciating by 2/7

Question 27

• Finds the mass of a solid with Density = 1.2gm / cm³

Question 28

• Determines the speed in m/s of a car that travels 30km in 20 minutes

Question 29

• If R = ((S + T)P) / 3, solves for T

Question 30

• Solves the inequation for x: (5(9 − x) / 3) + 1 < 11

Question 31

• Solves for x: (4x − 3)/5 - (2x − 3)/2 = -2

Question 32

• Identifies the equation of the graph.

Question 33

• Determines which set of coordinates lies outside the shaded area

Question 34

• Determines the equation of a graph

Question 35

• Determines coordinates of intersection point for two graphs

Question 36

• Evaluates -(-3)³

Question 37

• Evaluates (10x² * 8y³) / (4y * 5x)

Question 38

• Evaluates (3⁰y)² × 2(xy)⁰

Question 39

• Evaluates 3x⁻²y² / 6y⁻¹x³

Question 40

• Identifies the expression not equivalent to 32³/⁵

Question 41

• Using Venn diagram: calculates the total number of students in the class.

Question 42

• Using Venn diagram: calculates how many students learnt neither saxophone nor flute

Question 43

• Using Venn diagram: calculates how many students learnt just the saxophone or the flute

Question 44

• Determine which is the best cumulative frequency graph for the histogram

Question 45

• Calculate how much Jack's Dad got back

Question 46

• Expands and simplifies (2√5 − √2)²

Question 47

• Rationalizes and simplifies 4√5 / √3

Question 48

• Given x = ½, y = ⅔, and z = ¾, evaluates x + y + z

Question 49

• Expands and simplifies (3a − 5b)(3a + 5b)

Question 50

• Factorizes and simplifies 3a² + 3a − 18

Question 51

• Simplifies (x² − 9) / (4x − 12) ÷ (x + 3) / 2

Question 52

• Determine the correct ratio to find x

Question 53

• The turning point of the graph

Question 54

• Equation to find an unknown value

Question 55

• Find the points of intersection for two graphs, y = x² and y = 3x – 2.

Question 56

• Which shop gave the worst value for money?

Question 57

• Which two ships charge the same $$$ per kg?

Question 58

• What gets you three times the amount of sugar for the same price?

Question 59

• Solve for x

Question 60

• Factorize ab + b² - ac - bc