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Alex has a number game - OCR - GCSE Maths - Question 3 - 2020 - Paper 3

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Alex has a number game. He must put down tiles to make two calculations with the same answer. Here is what Alex put down. 2 − 3 × 2 = 3 − 5 Is he correct? Show ho... show full transcript

Worked Solution & Example Answer:Alex has a number game - OCR - GCSE Maths - Question 3 - 2020 - Paper 3

Step 1

Is he correct?

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Answer

To determine if Alex is correct, we need to evaluate both sides of the equation:

  1. For the left side:

    23×22 - 3 \times 2

    Here, we must follow the order of operations (PEMDAS/BODMAS), which stipulates that we perform multiplication before subtraction:

    26=42 - 6 = -4

  2. For the right side:

    35=23 - 5 = -2

Now, we compare the results:

  • The left side equals -4.
  • The right side equals -2.

Since -4 does not equal -2, Alex's calculations are incorrect.

Thus, Alex is incorrect because the two calculations do not yield the same result.

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