Fractions, Decimals & Percentages
Convert 7/8 to a percentage
87.5%
Increase 60 by 15%
69
An item costs $80 after a 20% discount. This was the original price.
$100
Write an expression for “three more than twice a number y”
What is 2y + 3
Simplify 4x+7−2x+3
2x + 10
Convert 0.375 into a fraction in simplest form
3/8
A number is increased from 80 to 92. This is the percentage increase.
15%
A $150 item has 10% GST included. Find the price before GST.
$136.36
If 3x=27, find x.
9
Expand 5(a+3)−2(a−4).
3a + 23
Convert 5/12 into a percentage (to 1 decimal place).
41.7%
After a 25% discount, a shirt costs $60. This was the original price.
$80
An item is sold at a 20% profit for $96. This was the cost price.
$80
Substitute x=−2 into 3x^2 + 4x.
4
Expand and simplify 3(x+2) + 2(x−5).
5x - 4
Arrange 3/5, 0.62, 58% from smallest to largest.
58%, 3/5, 0.62
A value decreases by 20% and then increases by 20%. Overall, it changes by this percentage.
4% decrease
An item costs $120 including GST. Find the GST amount included.
$10.91
2x+5=17
6
8x+12
4(2x + 3)
A class has 24 students. 37.5% are absent. This is the number absent.
9
A $200 item is increased by 15% and then discounted by 10%. This is the final price.
$207
An item is marked up 40% and then discounted 20%. This is the overall percentage change from the original price.
12% increase
Write an expression for “half of a number increased by 7, then multiplied by 3”
3(x/2 + 7)
Expand and factorise x^2+5x+6
(x + 2)(x + 3)