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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 13

A student wants to use proof by contradiction to prove the following statement.

"The sum of a rational number and an irrational number is always irrational."

Identify the correct starting assumption.

Tick one box.

A

For all rational numbers aaa and all irrational numbers bbb, a+ba+ba+b is irrational.

B

There exist a rational number aaa and an irrational number bbb such that a+ba+ba+b is rational.

C

There exist a rational number aaa and an irrational number bbb such that a+ba+ba+b is irrational.

D

For all rational numbers aaa and all irrational numbers bbb, a+ba+ba+b is rational.

Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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