same same but different
random ratio
Simply simplifying
Be Rational
Hip to be Square
100

I am baking cupcakes for the class and the batch needs 1 cup of sugar to every 2 cups of flour.

one batch makes 12 cupcakes

If I have to make 2 batches to ensure everybody in the class gets a cupcake, what is the ratio of flour to sugar?

Original ratio 

1:2

Ratio for 2 batches

2:4

100

15:20

100

By finding the HCF determine the simplest form of 

18:72

1:4

100

is the below a rational number? why/why not

yes, because it is a whole number 

3 X 3 = 9

The square root of 9 is 3

100

is 16 a square number? why/why not

Yes, 16 is a square number 

4 x 4 = 16

if you draw a 4x4 square, you can fit numbers 1-16 perfectly

200

Show 3 equivalent ratios of 2:12

1:6

3:18

4:48

5:60

6:72

200

5:6

200

Using mathematical reasoning, show the ratio 6:20 in it's simplest form

Trick question!

6:20 is already in it's simplest form

200

How can I tell a decimal is an irrational number just by looking at it? you MUST use the correct mathematical terms

it is a non-repeating, non-terminating decimal

e.g 3.1415........

200

If 64 is the square number, what is the square root?

8

300

I need to wash my car and the car wash says 6 caps of detergent to every 12 litres of water.

If I only need 4 liters of water to wash my car, how many caps of detergent will i need? Show your answer in a ratio.

2 caps

Ratio = 2:4

300

I need to wash my car and the car wash says 6 caps of detergent to every 12 litres of water.

If I only need 4 liters of water to wash my car, how many caps of detergent will i need? Show your answer in a ratio.

2 caps

Ratio = 2:4

300

You are playing Mario kart and every time you get hit by a rogue turtle, you lose 20% of life. 

If you got hit 4 times, what is the ratio in its simplest form?

original ratio

4:80

Simplest form 

1:4

300

what can I convert a decimal number into to test if it is rational or not?

a Fraction

300

if my number is 16, what is the equation (problem) in standard form?

4 x 4

400

I buy a box of Cadbury favourites and the ratio of flakes to picnics is 12:22. 

What is the least amount I could get in the box and still have an equivalent ratio?

6:11

400

You are collecting cans to save money for a skateboard. 

For every kilo of cans you collect you get $10.

The skateboard costs $120, show what the ratio would be when you are half way.

6:60

400

Simplify 40:200 AND show your mathematical reasoning

1:5

400

what do the below numbers have in common?

 square root of 16

0.44444444.....

and 2/4

The are all rational numbers

400

if my number is 49, what is the equation (problem) simplified?

72

500

Justify if 7:21 and 35:105 are equivalent or not.

Explain why

Yes they are equivalent

500

I have 1 teaspoon of sugar for every 3 weetbix for breakfast everyday before school.

What would my ratio be at the end of the school week?

5:15

500

At the end of the month I spent $600 on groceries.

I went grocery shopping 4 times in the month.

What is my ratio of money spent per grocery trip?

1:150

500

Give 5 square numbers under 100

2, 4, 9, 16, 25, 36, 49, 64, 81

500

if my number 104. what two square numbers have I added together?

100 (10 x 10)

4 (2 x 2)