Question 3 (Percentage) 3.1.
(2)
A student answered 45 problems on a test correctly and received a
grade 90%. How many problems were on the test, if all the problems were worth the same number
were worth the same number of marks? (Round to the nearest whole
number)
Explain what is the difference between fractions and percentages
and also state the relationship they have with each other
3.2.
(3)
3.3
(5)
40% of the 7920 visitors to an amusement park were children. 25% of
these children and 1/3 of the adults were repeat visitors. How many
percent of the visitors were visiting the amusement park for the first
time?
3.4
(4)
Percentage is not taught in foundation phase level. However, a
primary school has both foundation phase and intermediate phase.
If you were to be asked to teach a grade 4 level to substitute for an
absent teacher who was supposed to introduce the concept of
percentage to the grade 4 class using the topic already taught in
foundation phase. Give a brief description on how you will introduce
the concept of percentage using diagrams,
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A student answered 45 problems on a test correctly and received a

grade 90%. How many problems were on the test, if all the problems were worth the same number

were worth the same number of marks? (Round to the nearest whole

number)

100/90 * 45 = 50

Explain what is the difference between fractions and percentages

and also state the relationship they have with each other

The numbers which are decimals by nature can be represented in the form of fractions. For example, 0.5 can also be written as 5/10. ... Percentages refer to decimal numbers to the base 100. These are represented by a % (percent sign).Since a percent is a ratio a ratio can be written as a fraction. This means any of these forms can be converted to any of the others.

40% of the 7920 visitors to an amusement park were children. 25% of these children and 1/3 of the adults were repeat visitors. How many percent of the visitors were visiting the amusement park for the first time?

Total number of visitors = 7920

Find the number of children:

Children = 40% of 7920

Children = 0.4 x 7920

Children = 3168

Find the number of adults:

Adult = 7920 - 3168 = 4752

Find the number of repeated visitors that are children:

Repeated visitors = 25% x 3168

Repeated visitors = 0.25 x 3168

Repeated visitors = 792

Find the number of children that are visiting for the first time:

First time visitors = 3168 - 792 = 2376

Find the number of repeated visitors that are adult:

Repeated visitors = 1/3 x 4752

Repeated visitors = 1584

Find the number of adults that are visiting for the first time:

First time visitors = 4752 - 1584 = 3168

Find the total number of first time visitors:

Total number of first time visitors = 3168 + 2376 = 5544

There are 5544 visitors that are visiting for the first time