BIDMAS
16 + 28 ÷ 4 =
16 + 28 ÷ 4 =
16 + 7 = 23
NOTE: Remember to simplify
8/22 + 5/11 =
8/22 + 5/11 =
8/22 + 10/22 = 18/22 - 9/11
NOTE: Remember to simplify
3/8 x 2/5 =
3/8 x 2/5 = 6/40 = 3/20
Find the lowest common multiple (LCM) of 9 and 15
9 18 27 36 45 54 63 72 81 90
15 30 45 60 75 90
LCM = 90
Write the numbers in ascending order:
150.4
-10.45
15.04
10.54
105.4
-15.4
-15.4
-10.45
10.54
15.04
105.4
150.4
Identify the mistake and find the correct answer:
-15 + 5 x 5 = -50
Multiplication comes before addition
Correct answer = -15 + 25 = 10
NOTE: Remember to simplify
-4/3 - 1/6 =
-4/3 - 1/6 =
-8/6 - 1/6 =
-9/6 = -3/2
NOTE: Remember to simplify
5/7 ÷ 3/2 =
5/7 ÷ 3/2 =
5/7 x 2/3 = 10/21
Find all the factors of 90
1 x 90
2 x 45
3 x 30
5 x 18
6 x 15
9 x 10
Convert this decimal into a fraction and simplify:
0.642 =
0.642 =
642/1000 =
321/500
(-2)2 x -22 =
(-2)2 x -(22) =
4 x (-4) = -16
NOTE: Remember to simplify
7/4 - (-2/6) + (-6/8) =
7/4 - (-2/6) + (-6/8) =
21/12 - (-4/12) + (-24/12) = 1/12
NOTE: You must simplify BEFORE you multiply
17/42 ÷ 17/6 =
17/42 ÷ 17/6 =
17/42 x 6/17 =
1/42 x 6/1 =
1/7 x 1/1 = 1/7
45 x 22 =
45 x 22 =
(4 x 4 x 4 x 4 x 4) x (2 x 2) =
1024 x 4 = 4096
(-245.2) x (-6.8) =
(-245.2) x (-6.8) = 1667.36
Write the equation and solve:
- A game awards 2³ bonus points.
- A player earns this bonus 5 times, and also earns 12 extra points.
- How many points do they earn in total?
(23 x 5) + 12 =
(8 x 5) + 12 =
40 + 12 = 52
The earn 52 points in total.
Write the equation and solve:
- A recipe requires three quarters of a cup of sugar.
- You have already added half a cup.
- How much more sugar do you need to add?
3/4 - 1/2 =
3/4 - 2/4 = 1/4
We need to add a quarter cup of sugar.
Write the equation and solve:
- Mr. Young runs five sixths of a kilometre each day.
- He ran for three quarters of last week (i.e. part of the week).
- How far did he run in total?
5/6 x 3/4 =
15/24 = 5/8
- A bell rings every 6 minutes.
- Another bell rings every 10 minutes.
- After how many minutes will they ring at the same time?
We are looking for the lowest common multiple (LCM)
6 12 18 24 30
10 20 30
Both bells will ring simultaneously at 30 minutes.
Write the equation and solve:
- A rope is 7.5 metres long.
- Each piece is 1.5 metres.
- How many pieces can you cut?
7.5 ÷ 1.5 =
75 ÷ 15 = 5
You can cut 5 pieces.
Write the equation and solve:
- During a fundraiser, a class sells 4 trays of cupcakes.
Each tray has (12 + 6) cupcakes.
- Later, the class bakes 2² additional trays, with the same number of cupcakes per tray.
- After the event, 35 cupcakes remain unsold.
- How many cupcakes were sold?
(4 x (12 + 6)) + (22 x (12 + 6)) - 35 =
(4 x 18) + (22 x 18) - 35 =
(4 x 18) + (4 x 18) - 35 =
72 + 72 - 35 = 179
179 cupcakes were sold.
Write the equation and solve:
- A water bottle is three fifths full.
- You drink a quarter of the bottle.
- How much water is left?
3/5 - 1/4 =
12/20 - 5/20 = 7/20
The bottle now has seven twentieths remaining.
Write the equation and solve:
- You have three quarters of a pizza.
- Each person eats one eighth of a pizza.
- How many people can be served?
3/4 ÷ 1/8 =
3/4 x 8/1 =
3/1 x 2/1 =
6/1 = 6
6 people can be served.
- A square garden has 7 plants in each row and column.
- The gardener adds one more row and one more column, making it 8 per side.
- How many more plants are needed?
72 = 49
82 = 64
64 - 49 = 15
You need 15 plants to fill the garden.
Write the equation and solve:
- You buy 4.5 kg of fruit at $3.20 per kg.
- You pay with $20.
- How much change do you receive?
4.5 x 3.2 = 14.4
20 - 14.40 = 5.6
Your change is $5.60