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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 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 solve the expression inside the brackets:

$3 imes 2 = 6$

Thus,

$8 - 6 = 2$

Now substituting back, we have:

$9(2) = 18$

So, the final answer is 18.

Step 3

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Answer

We need to insert brackets in the expression:

$1 + 2 imes 3 + 5$

To get the answer of 17, we can rewrite it as:

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

However, to ensure the solution equals 17, we should have:

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

Therefore, the correct placement of brackets is around (3 + 5).

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