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Working with FDP (Cambridge O Level Maths)

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1
Sme Calculator1 mark

Here is a list of numbers.

Put a ring around the number with the largest value.


0.3030  1 third  0.0330    begin mathsize 16px style 3 over 10 end style  33% 

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2
Sme Calculator4 marks

Mr Mason asks 240 Year 11 students what they want to do next year.

15% of the students want to go to college.

3 over 4 of the students want to stay at school.

The rest of the students do not know.

Work out the number of students who do not know.

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3
Sme Calculator2 marks

Karen got 32 out of 80 in a maths test.
She got 38% in an English test.

Karen wants to know if she got a higher percentage in maths or in English.

Did Karen get a higher percentage in maths or in English?

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4
Sme Calculator2 marks

Prove algebraically that the recurring decimal 0.2 5 with bullet on top has the value 23 over 90

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5
Sme Calculator2 marks

Show that the recurring decimal 0.1 7 with bullet on top space equals space 8 over 45

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1
Sme Calculator4 marks

Mr Brown and his 2 children are going to London by train.

An adult ticket costs £24
A child ticket costs £12

Mr Brown has a Family Railcard.

Family Railcard gives

1 third off adult tickets

60% off child tickets


Work out the total cost of the tickets when Mr Brown uses his Family Railcard.

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2
Sme Calculator2 marks

Write these numbers in order of size.
Start with the smallest number.

0.2 4 with bullet on top 6 with bullet on top space space space space space space space space space space space space space space space space space space space space space 0.24 6 with bullet on top space space space space space space space space space space space space space space space space space space space space space space space space 0.2 with bullet on top 4 6 with bullet on top space space space space space space space space space space space space space space space space space space space space 0.246

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3
Sme Calculator2 marks

Show that the recurring decimal 0.3 with bullet on top 9 6 with bullet on top space equals space 44 over 111

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4
Sme Calculator2 marks

Use algebra to show that the recurring decimal 0. space 4 with bullet on top 1 7 with bullet on top space equals space 139 over 333

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5a
Sme Calculator3 marks

Show that 0.1 with bold dot on top 9 with bold dot on top can be written as 19 over 99.

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5b
Sme Calculator2 marks

Explain how 19 over 99 space equals space 0.1 with bold dot on top 9 with bold dot on top can be used to find 19 over 990 as a decimal and write down its value.

19 over 990 = ...............

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1
Sme Calculator3 marks

Write the recurring decimal 0.1 7 with dot on top as a fraction in its simplest form.
You must show all your working.

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2
Sme Calculator2 marks

Write the recurring decimal 0.2 6 with dot on top as a fraction.
You must show all your working.

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3
Sme Calculator2 marks

Write the recurring decimal 0.3 2 with dot on top as a fraction.
You must show all your working.

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4
Sme Calculator2 marks

Write the recurring decimal 0.6 7 with dot on top as a fraction.
Show all your working and give your answer in its simplest form.

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5
Sme Calculator2 marks

Change the recurring decimal 0.1 8 with dot on top to a fraction.
You must show all your working.

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