Write the numerical ratio for the number of shaded squares to unshaded squares:
A bridge is made up of 3 spans, PQ, QR and RS as shown in the figure.
What is the total length of the bridge?
In what ratio are PQ and RS?
In what ratio are PQ and PS?
In what ratio are PQ, QR, and RS?
Simplify each ratio:
Simplify the following ratios:
\dfrac{2}{9}:5
\dfrac{10}{9}:2
3\dfrac{5}{6}:3
4:8:0.45
Write each of the following as a fully simplified ratio.
40 minutes to 4 hours
5 seconds to 15 seconds
9 years to 45 years
\$40 to \$7.60
Write 60 cents to \$1.50 as a fully simplified ratio by first converting to the same units, and then simplifying.
Express 3 years to 32 months as a simplified ratio.
Express 1.4\text{ kg} to 290\text{ g} as a simplified ratio.
Express \dfrac{14}{10}\text{ L} to 110\text{ mL} as a simplified ratio.
Consider the ratio 21:50.
Complete the pattern of these equivalent ratios:
\begin{aligned} 21&:50\\ ⬚&:100\\ 63&:⬚\\ 84&:⬚\\ 105&:250 \end{aligned}Later in the pattern, the following ratio will appear. Fill in its missing value.
⬚:400
Later in the pattern the following ratio will also appear. Fill in the missing value.
399:⬚
Find the missing value in each case, given that the two quantities are in proportion.
To make 2 cups of rice, Dylan needs 5 cups of water. To make 10 cups of rice, he needs 25 cups of water. Write this as a proportion.
\dfrac{2\text{ cups rice}}{⬚ \text{ cups water}}=\dfrac{⬚ \text{ cups rice}}{⬚ \text{ cups water}}Tracy and Jimmy invest money in a business in the ratio 9:10.
How many parts has Tracy contributed?
If Tracy has invested \$5490, how much has Jimmy invested?
Homer is making perfume to sell. He is using sandalwood and rose oils in the ratio 1:\dfrac{1}{8}.
How much sandalwood oil will he need if he wants to use 1 cup of rose oil?
At a sporting event, the ratio of security personnel to spectators is 1:220. If 24\,200 spectators attend the event, how many security personnel will be required?
Two kinds of pine trees, type A and type B, are planted in rows. In each row the ratio of type A to type B is 7:10. If 490 of type A are planted, how many of type B are planted?
The number of students and teachers competing in a charity race is in the ratio 5:3. If 25 students take part in the race, how many teachers are there?
A painter wants to create a certain colour by mixing two different colours of paint, Vespa and Nitro, in the ratio 6:1. He uses 4 litres of the Nitro colour.
How many litres of the Vespa colour must he use?
How many litres of paint will he have altogether once the two colours are combined?
Beth competed in a race and found that her times for the swimming, cycling and running legs were in the ratio 3:1:2. If the quickest leg took 7 minutes, how many minutes did she take to complete the whole race?
In a particular country, there are 11\,200 registered female soccer players and 16\,000 registered male soccer players. In another country, there are 9800 registered female soccer players and 14\,000 registered male soccer players. Is the ratio of female players to male players the same for both countries?
Glen and Fred are professional tennis players. This year Glen has won 22 out of his 40 matches, while Fred has won 16 out of his 28 matches. Is the ratio of wins to losses the same for both players?
Dylan is making a patterned lid for a wooden box. He knows that for every \dfrac{3}{4} metres of mahogony he needs 20 centimetres of oak.
Write the ratio of mahogony to oak in three different ways.
How many metres of mahogony would Dylan need if he wants to use 6 metres of oak?