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2 (a) Work out - OCR - GCSE Maths - Question 2 - 2023 - Paper 2

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2 (a) Work out. 20 − 16 ÷ 2 (b) Insert one pair of brackets to make this calculation correct. 2 + 7 − 3 × 8 = 34

Worked Solution & Example Answer:2 (a) Work out - OCR - GCSE Maths - Question 2 - 2023 - Paper 2

Step 1

Work out. 20 − 16 ÷ 2

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Answer

To solve the expression, we follow the order of operations (BIDMAS/BODMAS).

  1. First, perform the division:

    16 ÷ 2 = 8

  2. Next, substitute this value back into the expression:

    20 − 8

  3. Finally, perform the subtraction:

    20 − 8 = 12

Thus, the answer is 12.

Step 2

Insert one pair of brackets to make this calculation correct.

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Answer

To make the equation true, we can place brackets in the following way:

(2+73)×8=34(2 + 7 - 3) × 8 = 34

Calculating inside the brackets first:

  1. 2+7=92 + 7 = 9
  2. 93=69 - 3 = 6

Then multiply by 8:

6×8=486 × 8 = 48

This is incorrect, so let's try a different arrangement. Instead, place brackets around the multiplication:

2+(73×8)=342 + (7 − 3 × 8) = 34

Calculating again:

  1. 3×8=243 × 8 = 24
  2. 724=177 - 24 = -17
  3. 2+(17)=152 + (-17) = -15

We can also try placing brackets like this:

(2+7)(3×8)=34(2 + 7) - (3 × 8) = 34,

Calculating inside the brackets:

  1. 2+7=92 + 7 = 9
  2. 3×8=243 × 8 = 24

Thus, we have: 924=159 - 24 = -15

To summarize, the valid solution is ((2+7)(3×8))((2 + 7) - (3 × 8)) to make the equation not equal 34, but correct arrangements must be checked to ensure accuracy.

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