KS1 Fractions and Length | Practical Problems

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Maths Quiz - Year 2 Fractions - Lengths (Questions)

This quiz addresses the requirements of the National Curriculum KS1 Maths and Numeracy for children aged 6 and 7 in year 2. Specifically this quiz is aimed at the section dealing with finding fractions of lengths.

Understanding fractions of length means firstly being able to halve or quarter by dividing by 2 or 4. Applying this to a unit of measurement may mean having to convert units - for example, if asked to find half of 1m, it would first be sensible to recognise that 1m = 100cm.

Playing this quiz will help your child understand how to find fractions of length.

I have a piece of ribbon which is 64cm long. I cut it in half - how long will each piece be?

[ ]	40cm
[ ]	23cm
[ ]	28cm
[ ]	32cm

Sam walks 1 km to school every day. She meets her best friend exactly halfway. How far does Sam walk before she meets her friend?

[ ]	250m
[ ]	500m
[ ]	2km
[ ]	100km

Harry is 120 cm tall. His little brother is half this height. How tall is Harry’s brother?

[ ]	40cm
[ ]	60cm
[ ]	80cm
[ ]	240cm

John walks 4 km to school. A ¹⁄₄ of the way to school is a sweet shop. How far is it from John’s home to the sweet shop?

[ ]	1 km
[ ]	2 km
[ ]	4 km
[ ]	8 km

Jim ran 1¹⁄₂ km. Ben ran 1¹⁄₄ km. How much further did Jim run than Ben?

[ ]	1 km
[ ]	¹⁄₂ km
[ ]	¹⁄₄ km
[ ]	³⁄₄ km

May grows her sunflower to 80cm. Jake's is only ¹⁄₄ of this height. How tall is Jake's sunflower?

[ ]	80cm
[ ]	60cm
[ ]	40cm
[ ]	20cm

A roll of tape measures 12m. I use ³⁄₄ of the tape. How much is left?

[ ]	5 m
[ ]	3 m
[ ]	2 m
[ ]	6 m

I measure my pencil on Monday and it is 16cm long. By Friday, it is only half of this length. How long is my pencil on Friday?

[ ]	10cm
[ ]	8cm
[ ]	4cm
[ ]	12cm

What is ¹⁄₄ of a kilometre?

[ ]	25cm
[ ]	25m
[ ]	250cm
[ ]	250m

10.

Cubes measure 3cm each. I make a row of 10 cubes. Then I break the row in half. How long is each half of the row?

[ ]	10cm
[ ]	12cm
[ ]	15cm
[ ]	13cm

You can find more about this topic by visiting BBC Bitesize - Fractions

Maths Quiz - Year 2 Fractions - Lengths (Answers)

I have a piece of ribbon which is 64cm long. I cut it in half - how long will each piece be?

[ ]	40cm
[ ]	23cm
[ ]	28cm
[x]	32cm

Half of 64 is 32

Sam walks 1 km to school every day. She meets her best friend exactly halfway. How far does Sam walk before she meets her friend?

[ ]	250m
[x]	500m
[ ]	2km
[ ]	100km

1 km is 1000m. Half of 1000 is 500

Harry is 120 cm tall. His little brother is half this height. How tall is Harry’s brother?

[ ]	40cm
[x]	60cm
[ ]	80cm
[ ]	240cm

Half of 120 is 60

John walks 4 km to school. A ¹⁄₄ of the way to school is a sweet shop. How far is it from John’s home to the sweet shop?

[x]	1 km
[ ]	2 km
[ ]	4 km
[ ]	8 km

To find a quarter of a number, divide it by 4 - or half it and half it again

Jim ran 1¹⁄₂ km. Ben ran 1¹⁄₄ km. How much further did Jim run than Ben?

[ ]	1 km
[ ]	¹⁄₂ km
[x]	¹⁄₄ km
[ ]	³⁄₄ km

Two quarters are the same as a half

May grows her sunflower to 80cm. Jake's is only ¹⁄₄ of this height. How tall is Jake's sunflower?

[ ]	80cm
[ ]	60cm
[ ]	40cm
[x]	20cm

To find a quarter, divide by 4

A roll of tape measures 12m. I use ³⁄₄ of the tape. How much is left?

[ ]	5 m
[x]	3 m
[ ]	2 m
[ ]	6 m

To find a quarter, divide 12 by 4 to get an answer of 3. If ¹⁄₄ is 3, then ³⁄₄ is 9, leaving 3m of tape

I measure my pencil on Monday and it is 16cm long. By Friday, it is only half of this length. How long is my pencil on Friday?

[ ]	10cm
[x]	8cm
[ ]	4cm
[ ]	12cm

Half of 16 is 8, so the pencil must be 8cm long

What is ¹⁄₄ of a kilometre?

[ ]	25cm
[ ]	25m
[ ]	250cm
[x]	250m

1 km is 1000m. Half of this is 500m, so a quarter is 250m

10.

Cubes measure 3cm each. I make a row of 10 cubes. Then I break the row in half. How long is each half of the row?

[ ]	10cm
[ ]	12cm
[x]	15cm
[ ]	13cm

3cm x 10 = 30cm. Half of 30 is 15