Geometry
Measurement
Financial Maths
Statistics
Lucky Dip
100
What is the name of this shape?
Trapezium
100
What is the rule for the circumference of a circle?
C = 2 xx pi xx radius = 2pir
OR
C = pi xx diameter = pid
100
20% of $520 is:
$104
100
How do you find the mean of a set of data?
Step 1: Add all of the values together.
Step 2: Divide the total by the number of values.
E.g. 4, 7, 6, 3: Step 1: Add all up (4 + 7 + 6 + 3 = 20), Step 2: Divide by number of values (20 / 4 = 5)
100
What is the capital of New Zealand?
Wellington
200
Define Complementary and Supplementary angles.
Complementary: A pair of angles that combine to create a right-angle (90o).
Supplementary: A pair of angles that combine to create a straight-line (180o).
200
Fill in the missing values on the diagram (don't forget to include the x and ÷ symbols!)
200
If you currently pay $840 in rent per week and your landlord wants to increase your rent by 15%, how much will you now have to pay?
20% of 840 = 15/100 xx 840 = 126
New Price = 840 + 126 = $966 per week
200
Turn the following Frequency Table into a Histogram. Make sure to include all important features and labels!
200
Who is the shortest serving Prime Minister of the United Kingdom?
Liz Truss
300
Find the missing angle and provide a reason for your answer.
Co-interior angles add up to 180o
So x = 180 - 138
x = 42o
300
Convert 123m into:
- km
- cm
- mm
km = (123m)/1000 = 0.123km
cm = 123m xx 100 = 12,300cm
mm = 123m xx 100 xx 10 = 123,000mm
300
What is the difference between Salary and Wage?
Salary describes how much you get paid per year, normally for a full time job with regular hours.
Wage describes how much you get paid per hour, normally for a part-time or casual job where hours can change each week.
300
Draw the following data as a stem-and-leaf plot
4, 12, 5, 9, 0, 21, 10, 48, 12
300
What is pi to correct to 8 decimal places?
pi = 3.14159265
400
What are the four rules used to test if two triangles are congruent? (Name AND Abbreviation)
SSS - Side-Side-Side
SAS - Side-Angle-Side
AAS - Angle-Angle-Side
RHS - Right angle-Hypotenuse-Side
400
Find the value of the following cylinder (correct to 2d.p.)
V = pi r^2h
= pi xx 2^2 xx 9
= 113.10cm^3
400
Calculate the simple interest earned and the accrued amount if the principal is 5500, the rate is 2% p.a. and the time is 8 years.
SI = Prt = 5500 xx 2/100 xx 8
= $880
Accrued = P + I = 5500 + 880 = $6380
400
For the box-plot shown, is the maximum value an outlier? Prove why/why not.
Yes, it is an outlier, since the maximum (146) is larger than the Upper Fence (144):
Upper Fence = Q3 + 1.5 xx IQR
= 126 + 1.5 xx (126-114) = 126 + 1.5 xx 12
= 126 + 18
= 144
400
What does the French word Papillon translate to in English?
Butterfly
500
Find the scale factor of the following shapes, and then use this to find the value of x.
Scal e Fact or = (Imag e)/(Origi nal)
= 7.5/5
= 1.5
x = 8 xx 1.5
= 12cm
500
Find the Total Surface Area of this triangular prism
TSA = 2 x Area of Triangle + Area of Slope + Area of Side + Area of Bottom
TSA = (2 xx 1/2 xx 3 xx 4) + (7 xx 5) + (4 xx 7) + (3 xx 7)
= 12 + 35 + 28 + 21
= 96cm^2
500
A fridge is marked down to 75% of the original price (i.e. 25% discount). If you paid $735, what would it have been at full price?
75% = $735 (÷ 75)
1% = $9.80 (x 100)
100% = $980
The original price of the fridge was $980
500
For the following data, create a five-figure summary AND a box-plot.
32, 41, 22, 35, 60, 39, 30, 51, 35, 45
Sort data: 22, 30, 32, 35, 35, 39, 41, 45, 51, 60
Min = 22, Q1 = 32, Med = 37, Q3 = 45, Max = 60
500
Did you know? The Lion King 2 is based off of Shakespeare's Romeo and Juliet!
Which Shakespeare play is the original Lion King based on?
Hamlet
