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Fill in each missing number - OCR - GCSE Maths - Question 12 - 2018 - Paper 1

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Question 12

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Fill in each missing number. (a) 0.36 × 20 = .......... × 10 (b) 14 ÷ 50 = .......... ÷ 100

Worked Solution & Example Answer:Fill in each missing number - OCR - GCSE Maths - Question 12 - 2018 - Paper 1

Step 1

(a) 0.36 × 20 = .......... × 10

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Answer

To find the missing number, we start by calculating the left side:

  1. Calculate 0.36imes200.36 imes 20:

    0.36imes20=7.20.36 imes 20 = 7.2

  2. Next, we need to determine what number multiplied by 10 gives us 7.2. We can express this as:

    ximes10=7.2x imes 10 = 7.2

  3. To solve for xx, divide both sides by 10:

    x=7.210=0.72x = \frac{7.2}{10} = 0.72

Thus, the missing number is 0.72.

Step 2

(b) 14 ÷ 50 = .......... ÷ 100

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Answer

For this part, we first calculate the left side:

  1. Calculate 14÷5014 ÷ 50:

    14÷50=0.2814 ÷ 50 = 0.28

  2. We want to find the missing number such that:

    y÷100=0.28y ÷ 100 = 0.28

  3. To find yy, we can multiply both sides by 100:

    y=0.28imes100=28y = 0.28 imes 100 = 28

Therefore, the missing number is 28.

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