Probability
Expressions & Equations
Mixed Bag
Similar Shapes & Scale Factors
Simultaneous Equations
100
One counter is drawn at random from the bag above. What is the probability that the counter is white?
2/7
100
Simplify the expression:
5x + 2xy - 3y + 5x - y
10x+2xy-4y
100
Green paint is made from blue paint and yellow paint in the ratio 1:3. What fraction of the green paint is yellow paint?
3/4
100
What side of triangle XYZ corresponds to side LN?
YX
100
2x + y = 9
y - z = 1
If x = 2, what is the value of z?
z=4
200
The two spinners are spun to generate a coordinate on a graph. Spinner 1 gives the x-coordinate. Spinner 2 gives the y-coordinate. How many possible coordinates can be generated by these two spinners?
21
200
Expand the brackets
7(2x + 3)
14x+21
200
Find the measure of angle x.
22^o
200
By which congruence rule are ABC and DEF congruent triangles - SSS, ASA, or SAS?
ASA
200
The diagram shows the graphs of y=2x-1 and y=x+1. Using the graphs, identify the solution of the simultaneous equations y=2x-1 and y=x+1. Give your answer as a coordinate.
(2,3)
300
The Venn diagram shows some information about Year 9 students. A Year 9 student is chosen at random. What is the probability they have a cat?
23/50
300
Find the value of the following equation when x = 2
x^2+5x-2
12
300
Work out:
2/5+0.42
0.82
300
What's the scale factor of enlargement from Triangle PQR to Triangle STU?
3/2
300
If a = 4x and b = x - 2, what is a + b in term of x?
5x-2
400
The Venn diagram shows the three sports that a group of Year 9s participate in. How many students are in the category athletics
\cap
badminton?
8
400
Expand and simplify:
(x+3)(x+2)
x^2+5x+6
400
What is the interior angle sum of this polygon?
540^o
400
The triangles are similar. The scale factor from the smaller triangle to the larger triangle is 5/2. Find the length of side x.
15 cm
400
What equation is made by subtracting the second equation from the first equation?
5x + 3y = 28
5x + y = 20
2y=8
500
There are two bags of red and blue counters. Abby picks a counter from Bag A and then picks a counter from Bag B. What is the probability that both counters are blue?
4/7 xx 3/8 =12/56
500
Expand and simplify:
(x - 2)^2
x^2-4x+4
500
Find the height of the triangle.
12
500
The scale factor of this enlargement is 2. If the distance from the centre of enlargement to F' is 3 cm, how far is the distance from the centre to F?
6 cm
500
Solve the pair of simultaneous equations:
6x+5y=40
2x+y=12
x=5
y=2