Simplifying Ratios
35 : 45
7 : 9
What was the original use of bubble wrap when it was invented?
a) A stress-relief toy for scientists
b) Packing fragile objects
c) A trendy 1950s fashion item
d) Wallpaper
d) Wallpaper
What proportion of black beads do I have in a necklace that has 17 beads black, 23 beads green, and 10 beads blue? Give your answer as a fraction, percentage, and decimal number.
17/50, 34%, 0.34
Find the term-to-term and position to term rule for the following sequence:
5, 3, 2, -1, -3, -5
Term-to-term: -2
Position-to-term: -2n+7
1
What is the equation of this graph (red)?
y=5
108 : 68 : 40
27 : 17 : 10
Divide 450kg in the ratio 3 : 2
270kg : 180kg
In basketball practice, two players are shooting hoops. Here are the ratios of shots on target to shots missed.
Aaron 78 : 42
Betty 80 : 45
Who has a higher success rate?
Aaron
What weird thing happens to astronauts when they return from space?
a) They grow taller
b) They forget how to walk
c) They crave space food like freeze-dried ice cream
d) They randomly float for weeks before adjusting
a) They grow taller (Without gravity, their spines stretch, making them up to 5 cm taller!)
2
What is the equation of this graph (blue)?
y=2x
If you could stretch out your entire small intestine, about how long would it be?
a) 3 meters
b) 7 meters
c) 4 kilometers
d) The length of a blue whale
b) 7 meters
Divide 1 hour in the ratio 7 : 4 : 1.
35 minutes : 20 minutes : 5 minutes
Liam and Emma are mixing juice concentrate with water. Liam uses a juice to water ratio of 2:5. Emma uses a juice to water ratio of 3:7. Who is using a stronger juice mixture (more juice per unit of total mixture)?
Emma
Find the nth term of the following sequence: 7, -1, -9, -17 ...
-8n+15
3
What is the equation of this graph (green)?
y=-3x
4/5 : 9/20
16 : 9
a) What proportion of girls are there in the school if the ratio of boys to girls to staff is 8 : 6 : 1?
b) How many girls are at the school if there are 540 people in total?
a) 2/5
b) 216
Paint A is made with red and white in the ratio 7 :16
Paint B is made with the ratio red and white in the 2 :5
Which paint has more red in it?
Paint A
Find the nth term of the following sequence: -10, 14, 38, 62 ...
24n-34
What is illegal to own as a pet in Australia?
a) A hamster
b) A goldfish
c) A T-Rex skeleton
d) A pet rock
a) A hamster (Australia bans hamsters because they could become an invasive species and mess up the ecosystem!)
0.4 : 75% : 2/3
24 : 45 : 40
This recipe makes cookies for 4 people. How much of each ingredient do you need for 10 people?
110g flour
2 eggs
250g butter
110g sugar
4 tablespoons milk
275g flour
5 eggs
625g butter
275g sugar
10 tablespoons milk
Which animal can hold its breath longer than a dolphin?
a) A sea turtle
b) A hippo
c) A sloth
d) A chicken
c) A sloth (They can hold their breath for up to 40 minutes by slowing their heart rate!)
a) The nth term for a sequence is n + k where k is a whole number. What is the difference between the 54th and 55th terms?
b) The nth term for a sequence is kn where k is a whole number. What is the difference between the 94th and 95th terms?
a) 1
b) k
Draw a graph of these 3 equations:
a) y=2x+5
b) y=-3x+1
c) x=4
4