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Answer the following questions on percentages.

a)

Find 40% of 100

Answer:   Expected answer:  (2.d.p)

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b)

If a mixed bag of 30 sweets contains 15 mints and 15 chocolates. What percentage of the contents is chocolate?

Answer:   Expected answer: %(2.dp)

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c)

Convert 5366 into a percentage.

Answer: Expected answer: % (2dp)

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d)

Convert 94% into a fraction. Fraction must be in it's simplest form.

Answer: Expected answer:  / Expected answer:

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e)

Last year the average mark in an exam was 45. They have now increased by 13 percent. What is the current average mark?

Answer: Expected answer:

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f)

Write 74 as a decimal?

Answer:   Expected answer: (2 d.p.)

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Advice

Questions of the form "find 40% of 100". 

In order to answer this you multiply the number, 100, by the percentage over 100, 40100

100×40100=40

Remember: Give you answer to 2 decimal places.

Questions of the form "if a mixed bag of 30 sweets contains 15 mints and 15 chocolates. What percentage of the contents is chocolate"

To calculate the percentage of chocolate sweets in the bag you must divide the number of chocolates by the total number of sweets and then multiply by 100.

$\dfrac{\var{chocolate}}{\var{sweets}}\times 100 = \simplify{100*{chocolate}/{sweets}}.

Remember: Give you answer to 2 decimal places.

Questions of the form "convert 5366 into a percentage"

This question is very similar to part b). We already have the number in fractional form if we covert this into a decimal and multiply by 100% we obtain the percentage

5366=deciamal×100%=80.303030303%

Remember: Give you answer to 2 decimal places.

Questions of the form "convert 94% into a fraction"

To do this you simply divide by 100.

94%=94100=4750 

Questions of the form "Last year the average mark in an exam was 45. They have now increased by 13 percent. What is the current average mark?"

We start by finding 13 % of 45.

45×13100=5.85

We then add this onto last years average marks to find this years

45+5.85=50.85

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Solve the following ratio questions. 

a)

To make bolognese 600 grams of minced beef feeds 3 people. How much minced beef is required for 12 people?

Minced meat $=$ Expected answer: grams. 

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b)

The sides of a triangle are in the ratio 1:2:7. If the smallest side has length 2 cm what is  length of the longest side?

Largest side:  Expected answer:  cm

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c)

Sarah and Dave are to share 650 toy dinosaurs between them in the ratio of 10:3.

Sarah gets Expected answer: dinosaurs.

Dave gets Expected answer: dinosaurs. 

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d)

Hetty and Georgina win a sum of money, which they agree to share in the ratio 1:6

If Heather receives £1295, how much will Georgina receive? 

Graham receives £ Expected answer:

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e)

A book shop sell 806 different fiction books and 4030 different fact books.

What is the ratio fact:fiction?

Answer: Expected answer: : Expected answer:

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Advice

\( \endgroup \)