Which conclusion follows deductively from the assumption that n is divisible by 6?
If n is divisible by 6, n = 6k = 3(2k) for some integer k. Hence n is divisible by 3.
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If n is divisible by 6, n = 6k = 3(2k) for some integer k. Hence n is divisible by 3.
Multiply by (3 + √5)/(3 + √5). The denominator is 9 - 5 = 4, so the expression becomes 4(3 + √5)/4 = 3 + √5.
Multiply by (1-cos x)/(1-cos x). This gives sin x(1-cos x)/sin²x = (1-cos x)/sin x = tan(x/2).
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Correct answer: n is divisible by 3
If n is divisible by 6, n = 6k = 3(2k) for some integer k. Hence n is divisible by 3.
Correct answer: 3 + √5
Multiply by (3 + √5)/(3 + √5). The denominator is 9 - 5 = 4, so the expression becomes 4(3 + √5)/4 = 3 + √5.
Correct answer: tan(x/2)
Multiply by (1-cos x)/(1-cos x). This gives sin x(1-cos x)/sin²x = (1-cos x)/sin x = tan(x/2).
For parents: look at the explanation together. A correct answer is encouraging; a missed answer gives you something specific to work on. Broader practice over time is needed to understand progress.
Quantities and units in mechanics requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Quantities and units in mechanics requires. Keep exact values until the final step and check signs, units and reasonableness.
Kinematics requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Forces and Newton's laws requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Moments requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Proof requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Algebra and functions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Algebra and functions requires. Keep exact values until the final step and check signs, units and reasonableness.
Coordinate geometry in the (x, y) plane requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Coordinate geometry in the (x, y) plane requires. Keep exact values until the final step and check signs, units and reasonableness.
Sequences and series requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Trigonometry requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Exponentials and logarithms requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Differentiation requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Integration requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Numerical methods requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Vectors requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Statistical sampling requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Data presentation and interpretation requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Probability requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
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Statistical distributions requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Statistical distributions requires. Keep exact values until the final step and check signs, units and reasonableness.
Statistical hypothesis testing requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Statistical hypothesis testing requires. Keep exact values until the final step and check signs, units and reasonableness.
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Pearson Edexcel · A Level · Mathematics · 9MA0
Issue 4, February 2020, current checked 2026-08-27
Source checked: 2026-08-27. The current official specification controls assessment requirements and option choices.
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