Percentages nsite.com
Mathematics Worksheet
Percentages
All answers to be rounded off to the nearest percentage. NO Calculators
Grade 7
Question 1: Convert the following common fractions to percentages:
Fraction Percentage
Fraction Percentage
Fraction Percentage
2 1.1
5
8 1.2
25
3 1.3
4
11 1.4
20
26 1.5
40
1.6 15 75
33 1.7
66
3 1.8
16
5 1.9
4
Question 2: Convert the following decimal fractions to percentages:
Decimal Percentage
Decimal Percentage
Decimal Percentage
2.1 0,76
2.2 0,98
2.3 0,05
2.4 1,07
2.5 0,255
2.6 0,018
Question 3: Calculate the following:
3.1 20% of R460
3.2 40% of R120
3.3 15% of 1 500 mm
1
Mathematics Worksheet 3.4 50% of R2 300
3.5 60% of 12 metres
Grade 7 3.6 25% of 1 hour
3.7 75% of 1 litre
3.8 45% of 6 000
3.9 8% of 5 500
Question 4: Calculate the percentages for each of the following:
4.1 R50 of R250
4.2 60 of 80
4.3 340 of 400
4.4 10 of 2,5
4.5 40 of 1 litre
4.6 40 min of 1 hour
2
Mathematics Worksheet 4.7 90? of 1 revolution
4.8 12 days of April
Grade 7 4.9 250 of 200
Question 5: Increase the following as indicated:
5.1 600 by 5%
5.2 860 by 20%
5.3 50 by 125%
Question 6: Decrease the following as indicated:
6.1 120 by 40%
6.2 3 600 by 30%
6.3 2,5 by 25%
Question 7: Problem Solving 7.1 The green grocer buys 40 of potatoes from the farmer for R21/. He sold all the
potatoes for a total of R1 120,00. What percentage profit or loss did the green grocer make?
3
Mathematics Worksheet
Grade 7
7.2 The uniform shop at school has a two-for-one sale. If you buy two of the same products you get 25% off the total amount. Jayson buys two ties, R88,00 each, two sport shirts, R150,00 each, and a cap, R95,00 each. How much will Jayson have to pay?
7.3 Tamika had 45 out of the 60 questions in the Maths test correct and Shannon had 35 out of the 50 questions in the English test correct. Who of Tamika or Shannon achieved a better mark?
7.4 Themba got 30 marks correct in his Science test and achieved a mark of 60%. How many questions were there in the test?
7.5 Sally's new ballet shoes cost R840,00 after a 20% discount. What was the price of the ballet shoes before the discount?
4
Mathematics Worksheet MEMO:
Grade 7
Question 1: Convert the following common fractions to percentages:
Fraction Percentage
Fraction Percentage
Fraction Percentage
1.1
2
40
= = 40% 1.2
5
100
8 25
= 32 = 32%
100
1.3
3
= 75 = 75%
4
100
1.4
11 = 55 = 55% 1.5
26
= 13 = 65
20 20
20
100
40 = 65%
1.6
15
= 1 = 20
5 100
75 = 20%
1.7
33 = 50%
66
1.8
3 = 3 ? 16
16 = 19%
1.9
5 = 125%
4
Question 2: Convert the following decimal fractions to percentages:
Decimal Percentage
Decimal Percentage
Decimal Percentage
2.1 0,76 = 76%
2.2 0,98 = 98%
2.3 0,05 = 5%
2.4 1,07 = 107%
2.5 0,255 = 25,5%
2.6 0,018 = 1,8%
Question 3: Calculate the following:
3.1 20% of R460
3.2 40% of R120
3.3 15% of 1 500 mm
= 20 ? 460
100 1
= 1 ? 460
51
= 460 ? 5 = R92,00
= 40 ? 120
100
1
= 40 ? 12
10 1
= 4 ? 12 = R48,00
= 15 ? 1 500
100
1
= 15 ? 15
= 225 mm
3.4 50% of R2 300
3.5 60% of 12 metres
3.6 25% of 1 hour
= 50 ? 2 300
100
1
= 1 ? 2 300
2
1
= R1 150,00
Convert to or :
= 60 ? 1 200
100
1
= 6 ? 120
10 1
= 6 ? 120 = 720
= 7,2
Convert to : = 25 ? 60
100 1
= 25 ? 6
10 1
= 25 ? 6 ? 10
= 15 min
5
Mathematics Worksheet
3.7 75% of 1 litre
Convert to millilitres:
= 75 ? 1 000
100
1
= 75 ? 10
11
= 750
3.8 45% of 6 000
= 45 ? 6 000
100
1
= 45 ? 60
= 2 700
Grade 7
3.9 8% of 5 500
= 8 ? 5 500
100
1
= 8 ? 55
= 440
Question 4: Calculate the percentages for each of the following:
4.1 R50 of R250
4.2 60 of 80
4.3 340 of 400
= 50 ? 100
250 1
= 1 ? 100
51
= 100 ? 5 = 20%
= 60 = 6
80 8
=3
4
= 75%
= 340 ? 100
400 1
= 340
4
= 340 ? 4 = 85%
4.4 10 of 2,5
4.5 40 of 1 litre
4.6 40 min of 1 hour
Convert to : = 10 ? 100
250 1
= 100 ? 25 = 4%
Convert to : = 40 ? 100
1 000 1
= 40 ? 10 = 4%
Convert to : = 40 ? 100
60 1
= 2 ? 100
31
= 200 ? 3 = 66, 6 % = 67%
4.7 90? of 1 revolution
4.8 12 days of April
4.9 250 of 200
1 revolution = 360?: = 90 = 9 = 1
360 36 4
= 25%
April = 30 days = 12 ? 100
30 1
= 12 ? 10 ? 3 = 40%
250 100 = 200 ? 1 = 250 ? 2 = 125%
6
Mathematics Worksheet Question 5: Increase the following as indicated:
Grade 7
5.1 600 by 5%
5.2 860 by 20%
5.3 50 by 125%
= 600 + (600 ? 5 )
1 100
= 600 + (6 ? 5)
= 860 + (860 ? 20 )
1 100
= 860 + (86 ? 2)
= 50 + (50 ? 125)
1 100
= 50 + (125 ? 2)
= 600 + 30 = 630
= 860 + 172 = 1 032
= 50 + 62,5 = 112,5
Question 6: Decrease the following as indicated:
6.1 120 by 40%
6.2 3 600 by 30%
6.3 2,5 by 25%
=
120
-
(120
1
?
40 )
100
= 120 - (12 ? 4)
= 120 - 48 = 72
=
3
600
-
(3
600 1
?
30 )
100
= 3 600 - (36 ? 30)
= 3 600 - 1 080
= 2 520
= 2 1 - (2 1 ? 25 )
2
2 100
=
5 2
-
(5
2
?
1)
4
=
5 2
-
5 8
=
20 8
-
5 8
=
15 8
Question 7: Problem Solving
7.1 The green grocer buys 40 of potatoes from the farmer for R21/. He sold all the potatoes for a total of R1 120,00. What percentage profit or loss did the green grocer make?
40 ? R21 = R840 R1 120,00 - R840 = R280 280 ? 100 = 28 ? 100
840 1 84 1
= 1 ? 100 = 33, 3 % rounded off to nearest percentage - 33% profit.
31
7.2 The uniform shop at school has a two-for-one sale. If you buy two of the same products you get 25% off the total amount. Jayson buys two ties, R88,00 each, two sport shirts, R150,00 each, and a cap, R95,00 each. How much will Jayson have to pay?
Discounted items: (R88,00 ? 2) + (R150 ? 2) = R176 + R300 = R476 R476 - (R476 ? 25%) R476 - 4176 ? 12050 = R476 - R119 = R357
7
Mathematics Worksheet
Grade 7
Add non-discounted item: R357 + R95 = R452
Jayson will have to pay R452,00.
7.3 Tamika had 45 out of the 60 questions in the Maths test correct and Shannon had 35 out of
the 50 questions in the English test correct. Who of Tamika or Shannon achieved a better mark?
Tamika: Shannon:
45 ? 100 = 3 ? 100 = 75%
60 1 4 1
35 ? 100 = 7 ? 100 = 70%
50 1 10 1
Tamika achieved the better mark.
7.4 Themba got 30 marks correct in his Science test and achieved a mark of 60%. How many
questions were there in the test?
30 out = 60%
30
=
60 100
As these two fractions are equal, we can find an equivalent fraction for 16000.
The numerator is given as 30. To find the denominator () we have to find the relationship
between the two known numerators:
? 2
30 = 60
100
? 2
100 ? 2 = 50
= 50
The test had 50 questions.
7.5 Sally's new ballet shoes cost R840,00 after a 20% discount. What was the price of the ballet
shoes before the discount?
R840 represents 80% of the amount. The price before the discount represents 100%.
R840 = 80% = 80 = 8
100 10
Calculate the value of 110: R840 ? 8 = R105 100% = 10 therefore R105 ? 10 = R1 050,00 will be the amount before the discount.
10
8
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