General Ratios
Write the word that this symbol represents ':'
to
What is a “rate”?
A comparison of two quantities with different units.
Simplify the rate 10 km in 2 hours.
5 km/h
A 1 L bottle costs $2. What is the price per litre?
$2/L
The ratio of cats to dogs is 2:3. If there are 10 dogs, how many cats are there?
2/3 × 10 = 6.67 → 7 cats (approx.)
Write a ratio showing 6 red marbles to 4 blue marbles.
6:4 or 3:2
A car travels 80 km in 1 hours. What is its speed?
80km/h
Simplify the rate 100 km in 4 hours.
25 km/h
2 kg of apples cost $6. What is the cost per kg?
$3/kg
A jet travels 2700 km in 3 hours. What is its speed?
900km/hr
A class has 8 boys and 12 girls. Write the ratio of boys to girls
8:20 or simplified 2:5
If you earn $60 for 5 hours of work, what is your rate of pay?
$12/hr
Simplify 8 L in 40 minutes to L/min.
0.2 L/min
Which is the better buy: 500 mL for $3 or 1 L for $5?
1 L for $5 (=$5/L vs $6/L)
A recipe uses 150g of flour and 100g of sugar. What is the ratio of flour to sugar. I want to double the recipe. How much flour do I need?
300g
What are you trying to do when you use the unitary (one-part) method?
A tap fills 9 L in 3 minutes. What is the rate in L/min?
3 L/min
Simplify 120 km in 3 hours to km/h.
40 km/h
A 6-pack costs $9, and a 12-pack costs $16. Which is cheaper per item?
12-pack ($1.33 each vs $1.50 each)
3 litres of juice serves 12 cups. How much juice per cup?
0.25 L per cup (250mL)
If there are 15 dogs and 25 cats, what is the ratio of dogs to cats in simplest form?
3:5
A runner completes 400 m in 80 seconds. What is their speed in m/s?
5 m/s
Simplify 800 m in 160 seconds to m/s.
5m/s
Which is the better buy: 750 g for $6 or 1 kg for $7.50?
1 kg for $7.50 (=$7.50/kg vs $8/kg)
A 2 kg bag costs $8 and a 1.5 kg bag costs $6. Which is the better buy?
$4/kg vs $4/kg → Same value