A
B
C
D
CHALLENGE
100
A number plane is also called the _ _ _ _ _ _ _ _ plane.
Cartesian.
100
There are _ quadrants on a number plane.
4.
100
The point (0,0) is called the _ _ _ _ _ _.
Origin.
100
The x axis is _ _ _ _ _ _ _ _ _ _.
Horizontal.
100
The Handshake Problem
At a gathering, 15 people each shake hands with every other person exactly once.
How many handshakes occur altogether?
105 handshakes
(15×14)/2=105
200
The x-coordinate in (4,-8) is __
4.
200
Define linear.
Making or resembling a straight line.
200
The y axis is _ _ _ _ _ _ _ _.
Vertical.
200
The y-coordinate in (-3,7) is __.
7.
200
The Ancient Puzzle
A farmer has 17 sheep. All but 9 run away. How many sheep does the farmer have left?
9 sheep ( all but 9 ran away)
300
If y= -4x + 1, find the value of y if x = 0
y = 1
300
If y= -2x + 3, find the value of y if x = 2.
y = -1
300
If y = -2x -1 find the value of y if x = -3
y = 5
300
If y = 3x + 1 find the value of y if x = 8
y = 25
300
The Prime Challenge
Find the only pair of consecutive whole numbers where both numbers are prime.
2 and 3
Every other pair of consecutive numbers contains an even number greater than 2, so cannot both be prime.
400
Determine the rule from the graph
y = x + 2
400
Determine the rule from the table
y = 3x - 4
400
Determine the rule from the graph
y = -x + 3
400
Determine the rule from the table
y = 5 - x or y = -x + 5
400
The Magic Square Mystery
A 3 × 3 magic square has the same total in every row, column and diagonal.
If the centre number is 5 and the square uses the numbers 1 to 9 exactly once, what is the magic total?
15
The famous 3 × 3 magic square using 1 to 9 always totals 15 in every row, column and diagonal.
500
Jack wants to buy a new phone at a cost of $794.00. She has $50 in her savings account and puts $25 into her account at the end of each week.
The equation is t = 25w + 50.
t = total savings ($)
w = weeks
How much money will Jack have in total after 10 weeks?
$300.00
500
Phone Plan A:
C=20+2m
Phone Plan B:
C=40+m
where m is the number of messages.
How many messages make the two plans cost the same?
m = 20
500
To hire a car costs $70 per day. The rule is C = 70n.
C for $ Costs.
N for number of days.
What does it cost to hire the car for 2 weeks?
C = 70n
C = 70 x 14
C = $980.00
500
a = 3
500
A lily pad doubles in size every day. It completely covers a pond in 30 days.
On what day was the pond half-covered?
Day 29
Because it doubles each day, it must have been half its final size one day earlier. This question tests logical thinking rather than calculation.