2.02 Quantities as percentages
Complete the following statements:
30\% is the same as ⬚ out of 100 and ⬚ out of 10.
15\% is the same as ⬚ out of 100 and ⬚ out of 20.
75\% is the same as ⬚ out of 100 and ⬚ out of 4.
80\% is the same as ⬚ out of 100 and ⬚ out of 5.
50\% is the same as ⬚ out of 100 and ⬚ out of 2.
62\% is the same as ⬚ out of 100 and ⬚ out of 50.
Express the following percentages as a fraction:
With a denominator of 100.
In simplest form.
40\%
65\%
30\%
16\%
25\%
62.5\%
75\%
35\%
Express the following quantities as a:
Fraction
Percentage
21 out of 50
36 out of 45
4 out of 80
28 out of 56
42 out of 24
44 out of 110
64 out of 40
21 out of 175
Calculate 15 as a percentage of 31. Round to two decimal places.
What percentage of the triangle are shaded?
What percentage of the squares are shaded?
What percentage of one whole circle is shaded in each set?
Write the following quantities as percentages:
36 out of 200
10 out of 16
9 out of 27
17 out of 68
Find:
27 as a percentage of 150.
81 as a percentage of 150.
34 as a percentage of 56.
12 as a percentage of 32.
6 as a percentage of 60.
8 as a percentage of 12.
Calculate 28\text{ cm} as a percentage of 3\text{ m}.
What percentage of 2 hours is 48 minutes?
A car weighs 1650\text{ kg} and a truck weighs 3 tonnes. Express the mass of the car as a percentage of the mass of the truck.
Find:
443.22\text{ km} as a percentage of 890\text{ km}
164\text{ cm} as a percentage of 8.2\text{ m}
\$6 as a percentage of \$375
\$966 as a percentage of \$27\,600
45.5\text{ kg} as a percentage of 65\text{ kg}
8550\text{ mL} as a percentage of 28.5\text{ L}
36\text{ min} as a percentage of 4\text{ hrs}
108.9\text{ mL} as a percentage of 330\text{ mL}
There are 11 boys and 14 girls in a class.
Find the total number of students in the class.
What percentage of the class are boys?
What percentage of the class are girls?
A box of fruit contains 8 apples, 8 mandarins, and 4 pineapples.
Find the total number of pieces of fruit inside the box.
What percentage of the box are apples?
What percentage of the box are mandarins?
What percentage of the box are pineapples?
In a factory producing light bulbs, it is found that 27 out of a batch of 300 light bulbs are faulty. What percentage of the light bulbs are faulty?
Deborah scored 40 out 50 in her history test and 57 out of 75 in her mathematics test.
What percentage score did Deborah get for her history test?
What percentage score did Deborah get for her mathematics test?
On which test did Deborah get a greater percentage score?
Justin and Georgia handed out fliers to advertise for their new concert.
Justin handed out 120 of his 400 fliers while Georgia handed out 360 of her 600 fliers.
What percentage of his fliers did Justin hand out?
What percentage of her fliers did Georgia hand out?
Who handed out a higher percentage of their fliers?