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Alex is 1.34 metres tall - OCR - GCSE Maths - Question 6 - 2023 - Paper 2

Question 6

Alex is 1.34 metres tall. Gabi is 95 centimetres tall. Find, in centimetres, how much taller Alex is than Gabi. (b) Arrange these units of capacity in order of size... show full transcript

Worked Solution & Example Answer:Alex is 1.34 metres tall - OCR - GCSE Maths - Question 6 - 2023 - Paper 2

Step 1

Find, in centimetres, how much taller Alex is than Gabi.

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Answer

First, convert Alex's height to centimetres. Since 1 metre equals 100 centimetres, we calculate:

$1.34 ext{ metres} = 1.34 imes 100 = 134 ext{ centimetres}$

Next, subtract Gabi's height from Alex's height:

$ext{Height difference} = 134 ext{ cm} - 95 ext{ cm} = 39 ext{ cm}$

Thus, Alex is 39 centimetres taller than Gabi.

Step 2

Arrange these units of capacity in order of size starting with the smallest.

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Answer

To arrange the capacities, first convert all units to the same measurement. We have:

250 millilitres = 0.25 litres
1/5 litre = 0.2 litres
0.3 litres = 0.3 litres
0.199 litres = 0.199 litres

Now, we can order them as follows:

0.199 litres
1/5 litres (0.2 litres)
250 millilitres (0.25 litres)
0.3 litres

So, the final order starting with the smallest is: 0.199 litres, 1/5 litre, 250 millilitres, 0.3 litres.

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