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8 Evaluate - OCR - GCSE Maths - Question 8 - 2017 - Paper 1

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8 Evaluate. (i) √121 (ii) 4^−2 (b) Work out. (9−3×2)^2 (c) Fill in the power. 5^_____ = 125.

Worked Solution & Example Answer:8 Evaluate - OCR - GCSE Maths - Question 8 - 2017 - Paper 1

Step 1

(i) √121

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Answer

To evaluate √121, we need to find a number that, when multiplied by itself, gives 121.

Since 11 × 11 = 121, we conclude that:

121=11\sqrt{121} = 11

Step 2

(ii) 4^−2

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Answer

To evaluate 4^−2, we can rewrite this using the property of negative exponents:

4−2=1424^{−2} = \frac{1}{4^2}

Calculating 4^2 gives us 16, so:

4−2=1164^{−2} = \frac{1}{16}

Step 3

(b) (9−3×2)^2

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Answer

First, evaluate the expression inside the parentheses:

9−3×2=9−6=39 − 3 × 2 = 9 − 6 = 3

Now, we square the result:

(3)2=9(3)^2 = 9

Step 4

(c) Fill in the power.

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Answer

We need to find the power of 5 that equals 125. Recognizing that:

53=1255^3 = 125

Thus, the blank should be filled with '3'.

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