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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 147
79%

In this question you must show detailed reasoning.

i.

Express 292\displaystyle 2^{\frac{9}{2}}229​ in the form aba\sqrt{b}ab​, where a a\,a is an integer and b b\,b is a prime number.

[2]
ii.

Express 32−23\displaystyle \frac{\sqrt{3}}{2-2\sqrt{3}}2−23​3​​ in the form c+dec+d\sqrt{e}c+de​, where c c\,c and d d\,d are rational numbers and e e\,e is a prime number.

[3]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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