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Complete the following - OCR - GCSE Maths - Question 5 - 2019 - Paper 2

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Question 5

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Complete the following. (i) $5^2$ = ............ (ii) $ rac{\sqrt{64}}{...........}$ (b) Work out $2^3 \times \sqrt{49}$.

Worked Solution & Example Answer:Complete the following - OCR - GCSE Maths - Question 5 - 2019 - Paper 2

Step 1

(i) $5^2$ = ............

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Answer

To calculate 525^2, we multiply 5 by itself:

52=5×5=255^2 = 5 \times 5 = 25

Thus, the answer is 25.

Step 2

(ii) $ rac{\sqrt{64}}{...........}$

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Answer

To find rac{\sqrt{64}}{...........}, first calculate sqrt64\\sqrt{64}:

64=8\sqrt{64} = 8

Assuming this part refers to finding the missing value, we can denote it as x. Therefore, we need to express the answer in terms of x.

Step 3

Work out $2^3 \times \sqrt{49}$.

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Answer

To solve this, we calculate each part:

  1. Calculate 232^3: 23=2×2×2=82^3 = 2 \times 2 \times 2 = 8

  2. Next, calculate sqrt49\\sqrt{49}: 49=7\sqrt{49} = 7

Now we combine the results:

8×7=568 \times 7 = 56

Thus, the answer is 56.

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