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Use your calculator to work out - OCR - GCSE Maths - Question 2 - 2021 - Paper 3

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Question 2

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Use your calculator to work out. (a) $\sqrt{196} + 29$. (b) $4^5$.

Worked Solution & Example Answer:Use your calculator to work out - OCR - GCSE Maths - Question 2 - 2021 - Paper 3

Step 1

(a) $\sqrt{196} + 29$.

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Answer

To solve this part, we first calculate the square root of 196.

  1. Find 196\sqrt{196}. The square root is 14, since 14×14=19614 \times 14 = 196.

  2. Next, we add 29 to this result. Thus, we have:

    14+29=4314 + 29 = 43.

Therefore, the answer for part (a) is 43.

Step 2

(b) $4^5$.

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Answer

For this part, we need to calculate 44 raised to the power of 5.

  1. Calculate 454^5. This can be simplified as:

    45=4×4×4×4×44^5 = 4 \times 4 \times 4 \times 4 \times 4.

    1. We know that:
    • 42=164^2 = 16
    • 43=644^3 = 64
    • 44=2564^4 = 256

Thus:

  • 45=256×4=10244^5 = 256 \times 4 = 1024.

Therefore, the answer for part (b) is 1024.

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