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7 (a) Work out - OCR - GCSE Maths - Question 8 - 2017 - Paper 1

Question 8

7 (a) Work out. (i) 1 + 4 ÷ 2 (ii) 2 + 5 × (8 − 4) (b) Evaluate. (i) 2^5 (ii) √400 (c) Estimate the value of 23.1 × 3.9 8.12.

Worked Solution & Example Answer:7 (a) Work out - OCR - GCSE Maths - Question 8 - 2017 - Paper 1

Step 1

(i) 1 + 4 ÷ 2

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Answer

To solve this, we follow the order of operations:

Perform the division first:

$4 ÷ 2 = 2$
Then, perform the addition:

$1 + 2 = 3$

Thus, the answer is 3.

Step 2

(ii) 2 + 5 × (8 − 4)

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Answer

Following the order of operations:

Calculate the expression inside the parentheses first:

$8 - 4 = 4$
Next, perform the multiplication:

$5 × 4 = 20$
Finally, perform the addition:

$2 + 20 = 22$

So the answer is 22.

Step 3

(i) 2^5

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Answer

To evaluate the expression, we calculate:

$2^5 = 2 × 2 × 2 × 2 × 2 = 32$

Therefore, the answer is 32.

Step 4

(ii) √400

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Answer

The square root of 400 can be calculated as:

$√400 = 20$

Thus, the answer is 20.

Step 5

(c) Estimate the value of 23.1 × 3.9 / 8.12

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Answer

To estimate the value:

We round the numbers:

23.1 is approximately 23
3.9 is approximately 4
8.12 is approximately 8

Now, calculate:

$rac{23 \times 4}{8}$

This simplifies to:

$rac{92}{8} = 11.5$

Therefore, the estimated value is approximately 12.

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