Rates
Julio bikes 5 kilometres in 20 minutes. How many kilometres per minute does Julio bike?
Divide the number of kilometres by the number of minutes: 5 km / 20 minutes = 0.25 km per minute
A pencil is 15 cm long. How many millimetres is that?
15 cm = 150 mm
What fraction of the shape is shaded if 3 out of 8 parts are shaded?
***BONUS: convert this to a percent***
3/8
***37.5%***
Which number is prime: 9, 11, or 15?
11 is prime because it only has 2 factors: 1 and 11.
A jar has 8 red beads, 6 blue beads, and 10 yellow beads.
What is the ratio of blue beads to total beads?
(remember to simplify your answer)
***for an extra 100 points, what type of ratio is this?***
6 to 24 or 6:24
Simplified is 1 to 4 or 1:4
Part-to-Whole
A grocery store sells 4 apples for $3.60.
What is the cost per apple?
Divide the 4 apples into 4 to get 1, divide the cost by 4 to get the cost for $3.60/4=$0.90 per apple
A bag of apples weighs 3 kg. How many grams is that?
***steal 500 points, or save till later***
3 kg = 3000 g
Write the decimal for the fraction 7/10
0.7
List all the factors of 18.
1, 2, 3, 6, 9, 18
A team scored 18 points in the first half and 27 points in the second half.
What is the ratio of first-half points to second-half points?
(remember to simplify your answer)
***for an extra 100 points, what type of ratio is this?***
18 to 27 or 18:27
Simplifed is 2 to 3 or 2:3
Part-to-Part
A dance team drives 240 km in 3 hours.
How far will they have gone in 5 hours?
***double points***
Find the unit rate by dividing 3 hours by 3 to get 1 hour and divide 240 by 3 to get how far the travelled in 1 hour; 240km/3=80km/h
Then multiple the unit rate by 5 to get how far they travelled in 5 hours; 80km/h x 5= 400km/5 hours
A juice bottle holds 2 L of juice. How many millilitres is that?
2 L = 2000 mL
What percent is equal to 45 out of 100?
45%
Find the prime factorization of 20.
20 = 2 × 10
10 = 2 × 5
Prime factorization:
2 x 2 x 5
or
22 x 5
On the playground, there are 14 swings and 21 students waiting.
What is the ratio of students to swings?
(pay close attention to the question!!)
***swap points with another team***
21 to 14 or 21:14
Simplified is 3 to 2 or 3:2
A gamer earns 300 XP in 4 minutes.
How much XP does the gamer earn in 2 hours?
(hint 60 minutes = 1 hour)
Find the unit rate by dividing the 4 minutes into 4 and the 300 into 4 to find how much XP they earned in 1 minte; 300/4=75XP/per minute.
Then take the unit and multiple 60 and then 2 or multiply the unit rate by 120
75XP x 60 minutes x 2 or 75XP x 120 minutes =9000XP/2 hours
A movie starts at 6:15 p.m. and ends at 8:05 p.m. How long is the movie?
From 6:15 to 7:15 = 1 hour
From 7:15 to 8:05 = 50 minutes
Total = 1 hour 50 minutes
Convert 3/4 into a decimal and a percent.
Decimal 0.75
Percent 75%
A number has the prime factorization 22 x 3 x 5
What is the number?
22 = 4
4 x 3 x 5 = 60
The school photocopier prints out 150 sheets in 3 minutes.
How many sheets can it print out in 15 minutes?
***if you get the answer wrong, team score gets reset to 0***
750:15 minutes
Original ratio is 150:3, you can multiply 3 minutes by 5 to get 15 minutes and 150 by 5 too. This gives you 750 sheets in 15 minutes
Addy takes 100 hockey shots in 5 minutes.
How much does she take every 10 seconds?
(hint: 60 seconds = 1 minute)
Find the unit rate by dividing 5 minutes by 5 for 1 minute and dividing 100 by 5 to get 20 shots/minute
Then to find for 10 seconds, 60 seconds = 1 minute, take 60 seconds and make it 10 seconds by dividing by 6. 60/6 =10 seconds
Then 20/6=3.333 shots/10 seconds
***Triple point***
2 km = 2000 m
2000 m + 750 m = 2750 m
Total = 2750 m
A class has 24 students. 75% of the students handed in their homework. How many students handed in their homework?
75% = 75/100 =3/4
3/4 × 24 =18
So, 18 students handed in their homework.
Prime factorize 72
***Double points***
72 = 23 x 32
David has 2 grandchildren: Olivia who is 6 years old and Mia who is 3. He decided to share 60 between the 2 children in a ratio of their ages.
How much did each child get?
$45 to Olivia and $15 to Mia
the ratio between their ages is 6:3, simplied it is 2:1
there are 3 parts in the ratio, so we take our whole and divide it into 3 parts to find the value of 1 part. 60/3=20. Then do 2x20=40 and 1x20=20