Unit Rate
Better Buy
Word Problems
Speed/Average Speed
Grab Bag
100

If Mimi drives 50 kilometres in 2 hours, what is her speed unit rate?

25 km per hour

100

TRIPLE POINTS!!!

Which is the better deal $20 for 5 t-shirts or $24 for 8 t-shirts?

8 for $24

100

Anna earns $12 in 3 hours.  How much does she make in 5 hours?

$20

100

A vehicle traveled at a speed of 54 km per hour for 3 hours.  Find the distance traveled.

162 km

100

Is this a unit rate?  Why or why not?

Justin's car wheels make 80 revolutions every 5 minutes.

no

200

If James types 120 words per 3 minutes, what is his unit rate of typing?

40 wpm

200

Which is the better buy:  one slice of pizza for $3.75 or 8 slices of pizza for $18.  Prove your answer!

8 slices ($2.25 per slice)

200

Jacob's car is leaking oil at a rate of 0.2 litres per hour. At this rate, how much oil will he lose in a day?

4.8 litres

200

DAILY DOUBLE!

Susan jogged 9 m in 2 s, and then she ran 21 m in 3 s. What is Susan's average speed in m/s?

6 m/s

200

27:9 = 18:?

6

300

What is a unit rate?

A unit rate compares a quantity to 1 unit of another quantity.

300

DAILY DOUBLE!!!

Which is the better buy:  8 mints for $1.84 or 13 mints for $3?

8 mints 0.23 vs. 0.231

300

Ian buys 2.5 kg of meat for $13.25 a pound.  How much does he pay?

$33.13

300

A train moved at a speed of 120 km/h for 2 hours.  It then slowed down and travelled another 136 kilometres for the next 2 hours.  Find the total number of miles the train traveled.

376 kilometres

300

What is the difference between a ratio and a rate?

ratio:  same units in numerator and denominator

rate:  different units in numerator and denominator

400

Take 100 points from another team and add it to your total score!

If you can jump 24 times in 6 minutes, how many jumps can you do in 2 1/2 minutes?

10 jumps

400

Which is the best buy:  14 cans for $4.48 at Coles, 6 cans for $1.74 at Kmart, or 15 cans for $4.65 at Aldi?

6 cans at Kmart because each can is 0.29

Coles 0.32, Aldi 0.31

400

Bethany is on a treasure hunt and travels 80 km/h per hour as she drives.  She has to go 630 kilometres to get from point A to point B.  How long (in hours and minutes) does it take her?

7 hours 52 minutes 30 seconds

400

Covert 20 km/h to m/s. Give your answer correct to 2 decimal places

5.56 m/s

400

Kayla knits 3/5 of a metre in 1/3 of an hour.  What is her knitting unit rate?

1.8 m/h

500

Alice can paint a wall in 5 hours, while Bob can paint the same wall in 7 hours. If they work together, how long in hours and minutes will it take them to paint the wall?

2 hours and 55 minutes

500

Contractor Bob tells Mr. Allen the cost of refinishing his basement is $103,049.  Mr. Allen's basement is 93 square metres.  Contractor Jim says he can do the job, just without the bathroom, for $102,268. The bathrooms is 14 square metres.  If it's ok not to finish the bathroom which contractor has the best rate per square metre?

Bob $1108.05 per square metre

(Jim $1294.53 per square metre)


500

At 7:30am, a bus left Town P for Town Q at an average speed of 60 km/h.  15 minutes later, a car left Town Q and headed to Town P.  The car reached Town P at 10:45 am.  The bus reached Town Q at noon.  What was the average speed of the car?

90 km/hr

500

Extra 200 points!!!

Robert drove his truck 250 m uphill in 25s.  He drove back down the hill in 12 s.  What is the average speed in m/s?  What is the average speed in km/h? Give your answer correct to 1 decimal place.

13.5 m/s;  48.6 km/h

500

A car park charges $70 for the first three hours. Every subsequent half hour (or part thereof) costs $12.50.  If Dr. Lewis parks from 3:15 pm - 8:20 pm, how much will she pay for parking?

$107.50

M
e
n
u