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3 (a) Complete each statement by writing the missing value in the box - OCR - GCSE Maths - Question 3 - 2020 - Paper 1

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3 (a) Complete each statement by writing the missing value in the box. (i) \( \frac{1}{3} = 2 \) (ii) \( \frac{1}{7} = 7 \) (b) Work out. (i) 0.8 \div 2 (ii) 1... show full transcript

Worked Solution & Example Answer:3 (a) Complete each statement by writing the missing value in the box - OCR - GCSE Maths - Question 3 - 2020 - Paper 1

Step 1

(i) Complete each statement by writing the missing value in the box.

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Answer

To find the missing value in the equation ( \frac{1}{3} = 2 ), we can cross-multiply. This gives us:

[1 \times 2 = 3 \times x]

From this, we get: [x = \frac{2}{3}]

Thus, the missing value is ( \frac{2}{3} ).

Step 2

(ii) Complete each statement by writing the missing value in the box.

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Answer

Using the same cross-multiplication method for ( \frac{1}{7} = 7 ):

[1 \times 7 = 7 \times y]

So, this simplifies to: [y = \frac{1}{7}]

The missing value is therefore ( \frac{1}{7} ).

Step 3

(b)(i) Work out.

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Answer

To solve ( 0.8 \div 2 ), perform the division:

[0.8 \div 2 = 0.4]

So, the answer is ( 0.4 ).

Step 4

(b)(ii) Work out.

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Answer

To calculate ( 1.7 \times 2 ):

[1.7 \times 2 = 3.4]

Thus, the result is ( 3.4 ).

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