The following pairs of quantities are in proportion. Find the missing value for each pair.
\dfrac{⬚}{10}:\dfrac{35}{50}
\dfrac{16}{⬚}:\dfrac{8}{10}
\dfrac{2}{⬚}:\dfrac{10}{15}
\dfrac{⬚}{32}:9
To make 3 cups of rice, Ben needs 5 cups of water. To make 15 cups of rice, he needs 25 cups of water. Write this as a proportion by filling in the blanks below.
\dfrac{3 \text{ cups rice}}{⬚ \text{ cups water}}= \dfrac{⬚ \text{ cups rice}}{⬚ \text{ cups water}}How many parts are there in the ratio 20:3?
Find the total number of parts in the following ratios.
2:3
7:17
73:53
5:7:9
25.9 is divided into two parts in the ratio 5:2.
What is the value of the larger part?
What is the value of the smaller part?
20 is divided into three parts: A, B, and C, in the ratio 2:5:3. Find the value of:
A
B
C
The ratio of adults to children on a train is 7:4. If the train is carrying 429 passengers:
Find the number of adults on the train.
Find the number of children on the train.
James and John share \$77 in the ratio 5:2.
What fraction of the total amount to be shared does John receive?
Therefore, how much money must John receive?
Divide 28 kilograms into the ratio 8:4:2.
What is the largest value?
What is the smallest value?
A piece of rope is cut into three lengths in the ratio 6:7:10. If the shortest length is 24 \text{ m}:
Find the middle length of the rope.
Find the longest length of the rope.
Calculate the total length of the rope.
The length of a garden bed is split into three sections for carrots, potatoes and pumpkin respectively in the ratio 4:2:1.
If the total length of the garden bed is 14 metres:
What is the length of the side for carrots?
What is the length of the side for potatoes?
What is the length of the side for pumpkin?
The perimeter of a rectangle is 110 \text{ cm} and the ratio of its length to its width is 6:5.
How many parts are in the ratio?
What is the sum of the length and width of the rectangle?
What is the length of the rectangle?
What is the width of the rectangle?
What is the area of the rectangle?
What is the ratio of the area to the perimeter?
Dave and Luke bought a scratch ticket that cost \$10. Dave contributed \$8 and Luke's contribution was \$2. They won \$30\,000.
They decide to share their winnings in the same ratio as they contributed:
How much should Dave receive of the prize?
How much should Luke receive of the prize?
Concrete is mixed in the ratio of 1 cement, 2 sand and 3 gravel.
How much gravel is needed for 4.2 cubic metres of concrete?
Dave can wash 2 cars in 4 minutes.
How long would it take for him to wash 1 car?
How long would it take him to wash 20 cars?
Eileen can wash 7 plates in 28 minutes and lace 11 boots in 55 minutes.
How long does it take to wash 1 plate?
How long does it take to lace 1 boot?
How long would it take for Eileen to wash 13 plates and lace 19 boots?
The ratio of miles to kilometers is 1:1.6. How many kilometers are equal to 2 miles?
The ratio of ounces to grams is 1:28. How many grams are equal to 4\text{ oz}?
The ratio of kilograms to ounces is 1:2.2. How many ounces are equal to 10\text{ kg}?
The ratio of pounds to kilograms is 1:2.2. How many kilograms are equal to 20\text{ lbs}?
To convert inches to centimeters, we can use the following table:
Complete the table.
Using the table, convert 11\text{ in} to centimeters.
Using the table, convert 75\text{ cm} to inches.
| Inches | Centimeters |
|---|---|
| 1 | 2.5 |
| 5 | |
| 3 | |
| 4 | |
| 12.5 |
1 \text{ gal} is approximately 3.8 \text{ L}.
Write liters to gallons as a ratio in simplest form.
How many liters would a 10 \text{ gal} vat hold?
1 \text{ ft} is approximately 0.3 \text{ m}.
Write feet to meters as a ratio in simplest form.
How many meters would a 100 \text{ ft} garden be?
5 \text{ mph} is approximately 8 \text{ kph}.
Write miles per hour to kilometers per hour as a ratio.
Sophia is traveling 16 \text{ kph}. What is this speed in miles per hour?
1 \text{ lb} is approximately 0.45 \text{ kg}.
Write pounds to kilograms as a ratio in simplest form.
Paul wants to send a parcel that weighs 5 \text{ lbs}. What is this weight in kilograms?
It costs \$2 per kilogram to send a parcel. Find the cost of sending Paul's parcel.
How long would a 50-mile journey take if you were traveling at 100 \text{ mph}?