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Percentages |
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CONTENTS |
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ITEM |
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| Working with percentages |
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Workout |
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19 slides |
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| Working with percentages |
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Library |
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9 questions |
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The workout comprises a series of sides that guide you systematically through the topic concept by concept, skill by skill. The slides may be used with or without the support of a tutor. The methodology is based on problem-solving that advances in logical succession by concept and difficulty. The student is presented with a problem or series of questions, and the next slide presents the fully-worked solution. To use the material you must sign-in or create an account.
blacksacademy.net comprises a complete course in mathematics with resources that are comprehensive.
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SAMPLE FROM THE WORKOUT |
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SLIDE 1 - EXPLANATION |
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SLIDE 2 - QUESTION 1 |
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SAMPLE FROM THE LIBRARY |
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QUESTION [difficulty 0.1] |
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SOLUTION |
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DEPENDENCIES |
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CONCEPTS |
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LEV. |
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Full = 100%, empty = 0%
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376.1 |
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Gradations of 25%
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376.1 |
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Quarter = 25%, Half = 50%, Three-quarters = 75%
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376.2 |
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Gradations of 10%
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376.4 |
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Fraction - Decimal - Percentage equivalence
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376.8 |
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Guage
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377.0 |
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Word problems with percentages
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377.2 |
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RAW CONTENT OF THE WORKOUT |
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Percentages
SLIDE 1
This can of paint
is full This can of paint
Is empty
100% 0%
SLIDE 2
Complete the following
This can of paint
is half full This can of paint is a quarter full This can of paint is three-quarters full
SLIDE 3
This can of paint
is half full This can of paint is a quarter full This can of paint is three-quarters full
50% 25% 75%
SLIDE 4
Fill in the labels
SLIDE 5
SLIDE 6
10% is equivalent to
? What fraction is equivalent to 30%?
? What fraction is equivalent to 25%?
? What percentage is equivalent to ?
? What percentage is equivalent to 0.4?
? What percentage is equivalent to ?
? What decimal is equivalent to 70%?
? Is 30% bigger than ?
? Is 80% more than ?
SLIDE 7
? 30% is equivalent to ? 25% is equivalent to
? is equivalent to 30% ? 0.4 is equivalent to 40%
? is equivalent to 75% ? 70% is equivalent to 0.7
? True. 30% bigger than ? True. 80% more than
SLIDE 8
Complete the following table
Fraction Decimal Percentage Fraction Decimal Percentage
0.25
0.2
90% 20%
0.05
0.8
SLIDE 9
Fraction Decimal Percentage Fraction Decimal Percentage
0.1 10%
0.25 25%
0.2 20%
0.75 75%
0.9 90%
0.2 20%
0.05 5%
0.13 13%
0.01 1%
0.8 80%
SLIDE 10
In each case, mark how full as a percentage the petrol tank is.
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SLIDE 11
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SLIDE 12
? At an election there were two candidates, X and Y. No one did not vote. If 70% voted for X, what percentage voted for Y?
? One day a fishmonger sold 80% of his fish. What percentage was not sold?
? A furniture store sells three kinds of armchair: classic, antique and Swedish. If 30% of sales were classic, and 25% of sales were antique, what percentage of sales were Swedish?
? In a country 45% of the population approve of the President. What percentage do not approve of the President?
? In a questionnaire people were asked, “Do you think more should be done to prevent plastic waste?”
Strongly agree Agree Neutral Disagree Strongly
disagree
10% 35% 10% 35%
What percentage strongly disagreed?
SLIDE 13
? At an election there were two candidates, X and Y. No one did not vote. If 70% voted for X, what percentage voted for Y?
30%
? One day a fishmonger sold 80% of his fish. What percentage was not sold?
20%
? A furniture store sells three kinds of armchair: classic, antique and Swedish. If 30% of sales were classic, and 25% of sales were antique, what percentage of sales were Swedish?
45%
? In a country 45% of the population approve of the President. What percentage do not approve of the President?
55%
? In a questionnaire people were asked, “Do you think more should be done to prevent plastic waste?”
Strongly agree Agree Neutral Disagree Strongly
disagree
10% 35% 10% 35% 10%
What percentage strongly disagreed?
SLIDE 14
100 people were asked what their three favourite colours were.
? 50 of the 100 voted for blue. What percentage voted for blue?
? What fraction voted for blue?
? 25 of the 100 voted for red. What fraction voted for red?
? of the people voted for green. What percentage voted for green?
? of the people voted for yellow. What percentage voted for yellow?
? voted for purple. What percentage voted for purple?
? Seven people voted for orange. What percentage voted for orange?
SLIDE 15
100 people were asked what their three favourite colours were.
? 50 of the 100 voted for blue. 50%
? What fraction voted for blue?
? 25 of the 100 voted for red.
? of the people voted for green. 75%
? of the people voted for yellow. 20%
? voted for purple. 10%
? Seven people voted for orange. 7%
SLIDE 16
Sixteen of these are equivalent to
SLIDE 17
SLIDE 18
Sixteen of these are equivalent to
SLIDE 19
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