Worked Solution & Example Answer:Calculate. $$ ext{ }
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\text{ Give your answer correct to 3 significant figures.}
$$ - OCR - GCSE Maths - Question 1 - 2023 - Paper 4
Step 1
Calculate $5.2^2$
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Answer
To find 5.22, we compute:
5.22=27.04
Step 2
Calculate $4.8 \times 6.3$
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Answer
Next, we calculate the product:
4.8×6.3=30.24
Step 3
Substitute values into the expression
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Answer
Substituting into the root expression gives us:
27.04−30.24
Step 4
Calculate the value inside the square root
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Answer
Now calculate:
27.04−30.24=−3.20
Since the expression under the square root is negative, this indicates a mistake or complex results. If resolving for real numbers only, the answer indicates a miscalculation. Assuming miscalculation:
If 27.04<30.24, no real answer can be given. If expected to evaluate a different context, inform that the square root produces −3.20.
Step 5
Determine the answer based on context
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Answer
No real numbers yield results in this context. Therefore, indicate that since given is to three significant figures, check validity or re-assess the operation performed.
