Rates and Ratios
Algebra
Equations
Linear Equations
Measurement and Geometry
Data
Lucky Dip
100
If a dozen donuts cost $8, how many donuts can I buy for $22?
33 donuts
100
Simplify
(5q^12r)^3
125 q^36 r^3
100
Solve
x/5+7=22
x=75
100
If this triangle was placed on a Cartesian plane, what would be the gradient of the hypotenuse?
m=-4/3
100
What is the exterior angle theorem?
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
100
What type of data is the weight of a capybara?
Numerical continuous
100
Is 1 a prime or a composite number?
Trick question! It is neither.
200
On a map, 4 cm represents 2 km. How far apart are two villages if they are 15 cm apart on the map?
7.5 km
200
Factorise
6xy-15y^2
3y(2x-5y)
200
A number is divided by 11 and 6 is added to it. The result is 13. What was the number?
77
200
What is the equation of the line with a gradient of 3 and a y-intercept of -2?
y=3x-2
200
What is the value of x?
15°
200
What is the median?
5, 4, 7, 9, 11, 6
6.5
200
The diagonals of a square are...
(You must give TWO properties.)
Equal, perpendicular, bisecting each other.
300
A cyclist completes a 15 km long track. She cycles at an average speed of 12 km/h. How long does it take her to get to the finish?
1.25 hours
300
Expand
(x+2)(x+3)
x^2+5x+6
300
Solve
x^2-17=-1
x=4 or -4
300
Does the point (-1,-9) lie on the line y=4x-5 ?
Yes.
300
What is the angle sum of a pentagon?
540 degrees.
300
How often is the national census done in Australia?
Every 5 years.
300
What is the next number in this sequence?
0, 1, 1, 2, 3, 5, 8, 13, 21, ...
34
400
What is the simplest form of the ratio 51:34:68?
3:2:4
400
Express as a single fraction:
(2xyz^2)/(3x)*(6x^2yz)/(5z^3)
(4x^2y^2)/5
400
Solve
(2m)/5-m/4=21
m=140
400
What are the x- and y-intercepts of the line with equation y=1/2x-3 ?
x-intercept is 6, y-intercept is -3.
400
What is the area of this shape?
313 cm2
400
What is the median, mode and range?
median = 72.5
mode = 78
range = 54
400
When was Pythagoras born?
A. 6th century BC
B. 3rd century BC
C. 2nd century AD
D. 9th century AD
A. 6th century BC
500
What is 36 km/h in m/s?
10 m/s
500
Expand and fully simplify:
(a+1)^2+(a+2)^2+(a+3)^2
3 a^2 + 12 a + 14
500
Find the value of x:
(2+x)/3=3(x-2)
2 1/2
500
Where do the lines y=2x-3 and y=1/2x meet?
At x=2.
500
The perimeter of the small rectangle is 60 cm. What is the perimeter of the big rectangle?
100 cm
500
The mean of
4, x, 5, 9, 9, 11 is 7.
What is x ?
4
500
Express as a fraction with positive indices only:
x^3y^(-2)z^4
(x^3z^4)/y^2