Extending Hot Shots

1
Extending Hot Shots
I am learning to solve different kinds of
percentage problems.
Do not start this lesson unless you have an
excellent understanding of Hot Shots.
Part unknown
Whole unknown
Percentage unknown
e.g. Tim scored 25 out of 30 in a test what
percentage did he get correct?
e.g. Susan completed a test with 35 questions.
She scored 60. How many questions did she get
correct?
e.g. Blake answered 20 questions correctly in a
test. That was a score of 80. How many questions
were in the test?
60
?
80
2
Percentage unknown
Use a calculator to help you with the division in
this question.
Alice answered 32 quiz questions and got 24
correct. What percentage did she answer
correctly?
We can display this question on a number line.
Questions
0
24
32

Answers
0
100
?
75
We could divide 100 by 32. This would tell us
what percentage each question is worth.
100 32 3.125
Each mark is worth 3.125 and Alice answered 24
questions so
24 X 3.125 75
Or we could.
Divide 24 by 32.
24 32 ?
0.75
This gives us the percentage as a decimal.
3
Part unknown
Use a calculator to help you with the division in
this question.
Zoe answered 45 quiz questions and got 80
correct. How many questions did she get correct?
We can display this question on a number line.
?
Questions
36
0
45

Answers
0
100
80
We could divide 45 by 100. This would tell us
what mark each percentage is worth.
45 100 0.45
Each percentage is worth 0.45 and Alice answered
80 correctly.
80 X 0.45 36
Or we could work out 80 of 45.
80 is the same as 0.8
36
So 0.8 X 45 ?
4
Whole unknown
Use a calculator to help you with the division in
this question.
Stacey answered 72 quiz questions correctly which
was 90 correct. How many questions were there?
We can display this question on a number line.
Questions
?
0
72

Answers
0
100
90
We could divide 72 by 90. This works out how much
of a mark each percentage is.
72 90 ?
0.8
Each mark is worth 0.8 of a percentage.
100 is every question so
100 X 0.8 80
Note Whole unknown questions are much more
difficult than the other two types of questions
we have looked at.
5
Now try these questions on your own.
You may use a calculator to help you answer the
following questions.
Click again when you have worked out all your
answers.

• 1) Tim threw a cricket ball at a wicket 25 times.
  He hit it 10 times. What percentage of the time
  did he hit the wicket?
• 2) Allan ate 75 pieces of fruit. 20 of these
  were bananas. How many bananas did he eat?

40
15
Need some more practise? Try Teacher Tools
Fractions, Decimals and Percentages Book Numeracy
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