Ratios
There are 6 red apples and 4 green apples in a basket.
Write the ratio of red apples to green apples in simplest form.
3:2
An angle measures 47°.
Is it acute, right, or obtuse?
Acute
A bag contains 5 blue marbles and 3 red marbles.
What is the probability of choosing a blue marble?
(Give your answer as a fraction.)
5/8
A triangle has two angles measuring 45° and 70°.
Find the size of the third angle.
65
What do we call a shape that has five equal sides and five equal angles?
Pentagon
The ratio of boys to girls in a class is 3 : 5.
If there are 25 girls, how many boys are there?
15
Two angles are complementary.
If one angle is 35°, what is the size of the other angle?
55
A spinner is divided into 4 equal sections: A, B, C, and D.
What is the probability that the spinner does not land on C?
3/4
An isosceles triangle has two equal angles.
If the third angle is 40°, what is the size of each of the equal angles?
70
In which continent would you find the Nile River, one of the longest rivers in the world?
Africa
A fruit juice mix is made by combining orange juice and pineapple juice in the ratio 2 : 3.
If you have 15 litres of the mix, how much orange juice and pineapple juice are used?
6:9
6L of Orange Juice
9L of Pineapple Juice
An angle is supplementary.
If one angle is 112°, what is the size of the other angle?
68
There are 12 cards in a box.
8 are animal cards
4 are sports cards
If you pick one card at random, what is the probability it is an animal card?
2/3
An exterior angle of a triangle measures 120°. One of the interior opposite angles is 35°. Find the size of the other interior opposite angle.
85
What is the name of the force that pulls objects toward the centre of the Earth?
Gravity
A recipe for muffins uses flour, sugar, and butter in the ratio 4 : 2 : 1.
If you use 8 cups of flour, how many cups of sugar and butter are needed?
4 cups of sugar
2 cups of butter
Three angles lie on a straight line.
Two of the angles measure 58° and 71°.
Find the size of the third angle.
51
A number cube (six-sided die) is rolled.
What is the probability of rolling an even number?
1/2
A quadrilateral has angles measuring 110°, 95°, and 80°.
Find the size of the fourth angle.
75
Which element has the chemical symbol “Fe”?
Iron
The ratio of cats to dogs in a shelter is 5 : 7.
There are 84 animals in total.
How many cats and how many dogs are there?
35 Cats
49 Dogs
A triangle has angles in the ratio 2 : 3 : 4.
Find the size of each angle.
40:60:80
In a school competition, the chance of winning a prize is 2 out of every 15 entries.
If the school submits 45 entries, how many prizes would you expect them to win?
6
The angles in a quadrilateral are in the ratio 1 : 2 : 3 : 4.
Find the size of each angle.
36:72:108:144
How many planets in our solar system are classified as “gas giants”?
Four — Jupiter, Saturn, Uranus, Neptune