9 Numeracy Revision Sem 2

Geometry

100

What is the name of this shape?

Trapezium

200

Define Complementary and Supplementary angles.

Complementary: A pair of angles that combine to create a right-angle (90^o).

Supplementary: A pair of angles that combine to create a straight-line (180^o).

300

Find the missing angle and provide a reason for your answer.

Co-interior angles add up to 180^o

So x = 180 - 138

x = 42^o

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

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

Measurement

100

What is the rule for the circumference of a circle?

C = 2 xx pi xx radius = 2pir

OR

C = pi xx diameter = pid

200

Fill in the missing values on the diagram (don't forget to include the x and ÷ symbols!)

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

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

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

Financial Maths

100

20% of $520 is:

$104

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

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.

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

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

Statistics

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)

200

Turn the following Frequency Table into a Histogram. Make sure to include all important features and labels!

300

Draw the following data as a stem-and-leaf plot

4, 12, 5, 9, 0, 21, 10, 48, 12

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

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

Lucky Dip

100

What is the capital of New Zealand?

Wellington

200

Who is the shortest serving Prime Minister of the United Kingdom?

Liz Truss

300

What is pi to correct to 8 decimal places?

pi = 3.14159265

400

What does the French word Papillon translate to in English?

Butterfly

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