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1 (a) Work out - OCR - GCSE Maths - Question 1 - 2019 - Paper 2

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1 (a) Work out. (i) £4.25 + £5.18 (ii) -8 + 11 (iii) -6 ÷ -9 (b) Use one of these symbols <, > or = to make each statement true. (i) 4.5 ............. 4.34 (ii... show full transcript

Worked Solution & Example Answer:1 (a) Work out - OCR - GCSE Maths - Question 1 - 2019 - Paper 2

Step 1

(a)(i) £4.25 + £5.18

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Answer

To calculate £4.25 + £5.18, convert the amounts into pence for easier computation:

  • £4.25 = 425 pence
  • £5.18 = 518 pence

Adding them together:

425 + 518 = 943 pence

Now convert back to pounds:

£943 ÷ 100 = £9.43

Therefore, £4.25 + £5.18 = £9.43.

Step 2

(a)(ii) -8 + 11

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Answer

To compute -8 + 11:

  • Start with -8, and add 11:
  • -8 + 11 = 3

Thus, -8 + 11 = 3.

Step 3

(a)(iii) -6 ÷ -9

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Answer

For the division -6 ÷ -9:

Dividing two negative numbers gives a positive result:

-6 ÷ -9 = rac{6}{9} = rac{2}{3}

Therefore, -6 ÷ -9 = ** rac{2}{3}**.

Step 4

(b)(i) 4.5 ............. 4.34

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Answer

To compare 4.5 and 4.34:

  • Since 4.5 is greater than 4.34, the appropriate symbol is '>'.

Thus, the statement is 4.5 > 4.34.

Step 5

(b)(ii) 3/4 ........... 0.8

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Answer

To compare \( rac{3}{4}\) and 0.8:

  • \( rac{3}{4} = 0.75\), so \( rac{3}{4} < 0.8\).

Therefore, the correct statement is (\frac{3}{4} < 0.8).

Step 6

(b)(iii) 3/5 ........... 0.6

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Answer

For this comparison, calculate \( rac{3}{5}\):

  • \( rac{3}{5} = 0.6\) so they are equal.

Thus, the statement is (\frac{3}{5} = 0.6).

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