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3 (a) Work out - OCR - GCSE Maths - Question 3 - 2018 - Paper 1

Question 3

3 (a) Work out. (i) 10³ (ii) 9(8 - 3 × 2) (b) Put brackets into this sum so that the answer is correct. 1 + 2 × 3 + 5 = 17

Worked Solution & Example Answer:3 (a) Work out - OCR - GCSE Maths - Question 3 - 2018 - Paper 1

Step 1

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Answer

To calculate $10^3$ , we need to multiply 10 by itself three times:

$10^3 = 10 imes 10 imes 10 = 1000$

Thus, the answer is 1000.

Step 2

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Answer

First, we evaluate the expression inside the parentheses:

Next, we multiply by 9:

$9 imes 2 = 18$

Hence, the answer is 18.

Step 3

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Answer

To make the expression 1 + 2 × 3 + 5 equal to 17, we need to add brackets around 2 × 3:

$1 + (2 imes 3) + 5 = 1 + 6 + 5 = 12$

However, to correct the expression to equal 17, we can alternatively rearrange the brackets:

$1 + 2 imes (3 + 5) = 1 + 2 imes 8 = 1 + 16 = 17$

Thus, a valid arrangement is 1 + 2 × (3 + 5) = 17.

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