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1.2 Algebra

1.2 Algebra

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Question 70

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 for the proof.

Tick one box.

A

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

Markscheme

1.2 Algebra Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra

303 exam-style questions on OCR (MEI) A Level Maths 1.2 Algebra, covering 1.2.1 Algebraic vocabulary and notation, 1.2.2 Solve linear equations, 1.2.3 Change the subject of a formula, 1.2.4 Solve quadratic equations, 1.2.5 Discriminant of a quadratic, 1.2.6 Linear simultaneous equations, 1.2.7 One linear one quadratic simultaneous equations, 1.2.8 Points of intersection and solutions, 1.2.9 Linear inequalities, 1.2.10 Quadratic inequalities, 1.2.11 Expressing solutions of inequalities, 1.2.12 Use and manipulate surds, 1.2.13 Rationalise the denominator, 1.2.14 Laws of indices, 1.2.15 Negative, fractional and zero indices, 1.2.16 Proportional relationships, 1.2.17 Partial fractions (A-level only), and 1.2.18 Simplify rational expressions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank