# Reasoning with fractions

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## Lesson details

### Key learning points

- In this lesson, we will apply our knowledge of fractions to three reasoning problems.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Which is greater?

Option 2

Q2.

Which is greater?

Option 1

Q3.

Which is greater?

Option 2

Q4.

Which is greater?

Option 2

Q5.

Which is greater?

Option 2

### 10 Questions

Q1.

Which is greater?

Option 2

Q2.

Which representation shows three quarters?

Option 1

Option 3

Q3.

Which fraction is not equivalent to one half?

Five tenths

Three sixths

Two quarters

Q4.

Which of these is incorrect?

One fifth is equivalent to two tenths

One half is equivalent to two quarters

One quarter is equivalent to two eighths

Q5.

True or False? Four fifths is greater than nine tenths.

True

Q6.

What improper fraction has been represented?

Option 2

Option 3

Q7.

Which of these sets of fractions are ordered greatest to smallest?

One whole, one half, four sixths

Q8.

How else could I write five halves?

10 halves

One and a half

Two

Q9.

A scooter costs £42. Isla has one seventh of the price left to save. How much more money does she have to save?

£10

£7

£8

Q10.

A packet of paper has 261 sheets. Two thirds of the packet has been used. How much paper is left?

174

175

85