Percentages

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

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download