Simplify Ratios
6 weeks : 14 days
3 : 1
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
If 16 tickets cost £280, how much do 11 tickets cost?
£192.50
What are the first four terms of this sequence:
The first term is -3 and the term-to-term rule is multiply by 3 then subtract 1
-3, -10, -31, -94
Graph the following equation:
y=7x-4
5
13 minutes : 452 seconds
195 : 113
Share 3 and a half hours in the ratio 11: 14: 17
55 minutes : 70 minutes : 85 minutes
A market sells apples at CHF 2.28 for 4kg and CHF 2.10 for 5kg bananas. How much would 10 kg of apples and 10 kg of bananas cost?
CHF 9.90
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!)
3
Find the equation of the linear graph.
y=-2x+1
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
The angles of a quadrilateral are in the ratio 1 : 7 : 2 : 5. What are the angles?
24, 168, 48, 120
It takes 4 electricians 17 hours to rewire a building. How long would it take 1 electrician? 5 electricians? Give your answers in whole numbers.
68 hours
13 hours and 36 minutes (or 816 minutes)
a) What is the nth term of the following linear sequence: 4, 11, 18, 25, 32, ...
b) what is the 35th term in the sequence?
c) Which term in the sequence is 158?
a) 7n-3
b) 242
c) 23
Graph the following sequence and find the equation of the line: -5, -3, -1, 1...
6
y=2x-7
1 1/2 : 3/4 : 2 1/4
2 : 1 : 3
What are two natural numbers that have the ratio of their difference to their sum to their product as 1 : 5 : 18
9 and 6
x is inversely proportional to y. When x is 20, y is 36. What is y when x is 5? What is x when y is 60? (Hint: create a table and fill in the values). What is the equation of this relationship?
y=144 when x is 5
x=12 when y is 60
y=720/x is the equation
From these sequences, which is geometric? How do you know?
a) 7, 10, 13, 16...
b) 9, 3, 1, 1/3...
c) 1, 4, 9, 16...
b) 9, 3, 1, 1/3... because we are always multiplying by 1/3
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!)
5cm2 : 350 mm2
10 : 7
The ratio of blue to black counters is 8 : 5. The ratio of black to green counters is 3 : 2. What is the ratio of blue to green counters?
12 : 5
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!)
Determine if the following sequence is linear, geometric, quadratic or none.
9, 12, 17, 24, 33...
Quadratic
Graph y= x2 + 7
7