Algebra
Measurement
Networks
Stats and Prob
Matrices
100
Simplify the following:
3x^2 + 2yx+7x^2
10x^2 +2xy
100
State the Pythagoras theorem
c^2 =a^2 +b^2
100
What is the degree of vertex D?
Degree = 3
100
List the sample space of this spinner. 
S= {red, yellow, blue, green}
100
State the order of matrix A:
A=[[4,2,7],[3, 5, 1]]
2 x 3
200
Expand and simplify:
3(2x+4)-5
6x+7
200
Label the right angle triangle:
- Hypotenuse
- Opposite
- Adjacent
a = opposite
b = adjacent
c = hypotenuse
200
What is the difference between a path and a cycle in a network?
A path travels between vertices without repeating vertices, while a cycle is a path that starts and finishes at the same vertex (with no other repeated vertices).
200
Find the Pr(D n C)
Pr(D n C) =
18/50 = 9/25
200
Find the value of a23 in the matrix below
A=[[5,2,8],[4,7,9],[1,6,3]]
9
300
Solve:
5x-7=2x+11
x=6
300
Find the hypotenuse of a right triangle with shorter sides 6 cm and 8 cm.
10cm
300
Is the following network connected or disconnected?
Disconnected
300
Find the IQR: 2, 4, 6, 8, 10, 12, 14.
8
300
Calculate: A+B
A=[[3,5],[2,4]]
B=[[1,2],[6,3]]
[[4,7],[8,7]]
400
Factorise:
x^2+7x+12
(x+3)(x+4)
400
A person stands 20 m from a building. The angle of elevation is 35°. Find the height.
14m
400
Find the shortest path from A to E:
A - C - D - E
= 6
400
A fair six-sided die is rolled 180 times.
How many times would you expect to roll a number greater than 4?
60 times
400
Calculate: AB
A=[[-6,8],[7,-4]]
B=[[5,-9],[-3,6]]
[[-54,102],[47,-87]]
500
Solve this simultaneous equation:
2x+y=13
x-y=2
x=5
y=3
500
Find the volume of a cylinder with radius 3 m and height 5 m, topped with a hemisphere of radius 3 m.
197.9 m³
500
Are these networks isomorphic?
No
500
A survey of 60 students found that:
- 35 students play basketball
- 25 students play soccer
- 15 students play both sports
If a student is randomly selected from those who play basketball, what is the probability that they also play soccer?
Pr(Soccer | Basketball) =
15/35 = 3/7
500
Calculate: 3A-2B
A=[[-4,7],[6,-9]]
B=[[5,-3],[-8,4]]
[[-22,27],[34,-35]]