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

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3 (a) Work out. (i) 10^3 (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

(i) 10^3

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Answer

To calculate 10310^3, we recognize that it means multiplying 10 by itself three times:

103=10imes10imes10=100010^3 = 10 imes 10 imes 10 = 1000

Thus, the answer is 1000.

Step 2

(ii) 9(8 - 3 × 2)

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Answer

First, we calculate the value inside the parentheses:

  • Start with the multiplication: 3imes2=63 imes 2 = 6.
  • Now substitute back into the equation: 8−6=28 - 6 = 2.

Next, we multiply this value by 9:

9imes2=189 imes 2 = 18

Therefore, the answer is 18.

Step 3

(b) Put brackets into this sum so that the answer is correct.

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Answer

To adjust the equation so that it correctly equals 17, we can insert brackets:

1 + 2 × 3 + 5 = 17 can be rewritten as 1+2×(3+5)=171 + 2 \times (3 + 5) = 17. This simplifies to:

  • First, calculate inside the brackets: 3+5=83 + 5 = 8.
  • Then, perform the multiplication: 2×8=162 \times 8 = 16.
  • Finally, add 1: 1+16=171 + 16 = 17.

Thus, the correct equation is 1+2×(3+5)=171 + 2 \times (3 + 5) = 17.

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