Fractions, Decimals,
Percentages
Percentages
Express 2/5 as a decimal
0.4
Simplify the ratio 10:15
2:3
4a+9a-a
12a
Solve x+12 = 17
x=5
A glass of water has an ice cube floating in it. When the ice melts, does the water level go up, down, or stay the same?
Stays the same.
Floating ice already displaces its melted volume.
A student scores 0.68 on a test. Write this score as a percentage.
68%
A drawing of a butterfly is made to a scale of 1 : 10.
On the drawing, the butterfly’s wingspan is 3 cm.
What is the butterfly’s actual wingspan in real life (in cm)?
30 cm
If x=6
evaluate 2x+3
x=15
4+x=-8
x=-12
You enter a dark room with one match, a candle, a kerosene lamp, and a fireplace. What do you light first?
The match
A jacket costs $120. It is on sale for 30% off.
What is the sale price?
$84
A car travels 180 km in 3 hours.
What is the speed in kilometres per hour?
60km/hour
Simplify
3a x 2b
6ab
Solve
5x=35
x=7
How tall am I?
174cm
A student spends 2/5 of their time on homework, 0.35 of their time on sport, and the rest on free time.
What percentage of their time is free time?
25%
A mixture of cordial and water is made in the ratio
2 : 9.
If you have 20 mL of cordial, how much water is needed
90 mL
Collect like terms
2a+4b+7a-3b
Solve
3x+7=25
x=6
A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball.
How much does the ball cost?
If the ball were 10c, the bat would be $1.10 and the total $1.20. So it must be 5c + $1.05 = $1.10.
A phone is reduced by 20% in a sale, and the new price is $640.
What was the original price of the phone?
$800
Three workers share $480 in the ratio 2 : 3 : 5.
How much money does each worker receive?
$96
$144
$240
In the following expression list all the coefficiants
6a-7b+c-4
6
-7
1
A movie ticket costs $12 each plus a $5 booking fee.
If the total cost is $53, how many tickets were bought?
x=4
How many months have 28 days
All of them