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

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7 (a) Work out. (i) 1 + 4 + 2 (ii) 2 + 5 × (8 - 4) (b) Evaluate. (i) 25 (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 7 - 2017 - Paper 1

Step 1

(a) Work out. (i) 1 + 4 + 2

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Answer

To solve this, add the numbers together:

1 + 4 = 5

Then, adding 2 gives:

5 + 2 = 7

Thus, the answer is 7.

Step 2

(a) Work out. (ii) 2 + 5 × (8 - 4)

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Answer

First, solve the expression inside the brackets:

8 - 4 = 4

Next, multiply 5 by the result:

5 × 4 = 20

Finally, add 2:

2 + 20 = 22

Therefore, the answer is 22.

Step 3

(b) Evaluate. (i) 25

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Answer

To evaluate 25, we recognize it as a power of 5:

25 = 5^2.

So, the answer is 25.

Step 4

(b) Evaluate. (ii) √400

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Answer

To find the square root of 400, we look for a number that when multiplied by itself equals 400:

20 × 20 = 400.

Thus, √400 = 20.

Step 5

(c) Estimate the value of 23.1 × 3.9 8.12

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Answer

To estimate the value, round the numbers:

23.1 ≈ 23 3.9 ≈ 4 8.12 ≈ 8.

Now, compute the estimation:

Estimate = \frac{23 × 4}{8}.

Calculating this gives:

23 × 4 = 92,

and then:

\frac{92}{8} = 11.5.

Thus, the estimated value is approximately 11.5.

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