Ratios and Proportions
Rate and Speed
Circles and Area
Angles
100
Define ratio
A comparison of quantities expressed in the form x:y:z:...
100
Define rate in general form
a comparison of quantities with different units
100
Give the definition and equation for circumference
The distance around a circle
C = 2*pi*radius
or C = pi*diameter
100
Name the two requirements for adjacent angles
- shared vertex
- shared side
200
A Fiona toy weighs 2 kg. A Shrek toy weighs 3 kg.
What is the ratio of the weight of the Shrek toy to the weight of the Fiona toy?
3 : 2
200
100 ml of water flows out of a tap every 5 seconds.
How long would it take to fill a 400-ml container?
20 seconds
200
Estimate the radius of a circle with the circumference 44 m. (pi = 22/7)
r = 7 m
200
Given ABC is an isosceles triangle and AB is equivalent to BC and ∠ABC is 10º, calculate ∠BCA.
∠BCA = 85º
300
The ratio of C:D is 4:5 and the ratio of C:E is 3:2.
What is the ratio of C:D:E?
12:15:8
300
A single broken Star Wars pen costs 80 cents. a pack of 3 broken Star Wars pens costs $1.60. What is the cheapest possible price of 15 Star Wars pens?
$8
300
Find the area of the shaded section in the following composite shape (pi = 3.14):
A = 4.86 cm2
300
All lines are straight. Calculate ∠FED.
∠FED = 65º
500
There are 500 adults in a stadium. The ratio of the number of men to the number of women is 3:2. The ratio of the number of adults to the number of children is 4:7. What is the total number of women and children?
1075 total women and children
(200 women, 875 children)
500
Shrek and Fiona took 4 hours to reach Far Far Away, which was 200 miles from the Swamp. Their speed for the next 60 miles of their trip to Rapunzel's house was 10 mph faster than the speed for the first part of their trip. What was their average speed for the whole trip?
(Hint: find the total time for Shrek and Fiona's trip)
52 mph
500
Find the composite volume of the following shape (pi = 3.14):
V = 48.6 cm3
500
All lines are straight, calculate ∠FDE.
∠FDE = 100º