Course home

Algebraic Expressions

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

Question 17

In this question you must show detailed reasoning.

Express $372\displaystyle 3^{\frac{7}{2}}$ in the form $aba\sqrt{b}$ , where $a\,$ is an integer and $b\,$ is a prime number.

[2]

ii.

Express $53−5\displaystyle \frac{\sqrt{5}}{3-\sqrt{5}}$ in the form $c+dec+d\sqrt{e}$ , where $c\,$ and $d\,$ are rational numbers and $e\,$ is a prime number.

[3]

Markscheme

Algebraic Expressions Questions

AS Level
Maths
Algebraic Expressions

134 exam-style questions on Edexcel AS Level Maths Algebraic Expressions, covering 1.1 Index Laws, 1.2 Expanding Brackets, 1.3 Factorising, 1.4 Negative and Fractional Indices, and 1.5 Surds. Each one has a worked solution and a mark scheme showing where the marks go.

Algebraic Expressions

Question bank

Algebraic Expressions

Easy Medium

Question 17

In this question you must show detailed reasoning.

Express $372\displaystyle 3^{\frac{7}{2}}$ in the form $aba\sqrt{b}$ , where $a\,$ is an integer and $b\,$ is a prime number.

[2]

ii.

Express $53−5\displaystyle \frac{\sqrt{5}}{3-\sqrt{5}}$ in the form $c+dec+d\sqrt{e}$ , where $c\,$ and $d\,$ are rational numbers and $e\,$ is a prime number.

[3]

Markscheme

Algebraic Expressions Questions

AS Level
Maths
Algebraic Expressions