Theory

CH2 - Algebra

Factorise completely.(a) $12x^2 - 27xy$ .......................................................[2](b) $4a^2 + 8ab - ac - 2bc$ ...........................

2016 Summer

1

Theory

CH2 - Algebra

Solve.$$ \frac{x}{2} - \frac{x+1}{3} = 2 $$

2016 Summer

2

Theory

CH2 - Algebra

Solve.$2x + 3 > 2(3x - 1)$

2016 Summer

2

Theory

CH2 - Algebra

(a) Solve.$$7x + 2 = 11$$$x = \text{.................................................}$ [2](b) Write as a single fraction, in its simplest form.$$\fra...

2016 Winter

1

Theory

CH2 - Algebra

Multiply out the brackets and simplify. $(2\sqrt{3} - 1)(\sqrt{3} + 2)$

2016 Winter

1

Theory

CH2 - Algebra

Solve the equation. \(|x - 3| = 1\)

2016 Winter

1

Theory

CH2 - Algebra

x is positive and $x^8 = 3^4$.Find the exact value of x.$x = \text{...............................}$ [2]

2016 Winter

2

Theory

CH2 - Algebra

The roots of the quadratic equation $x^2 + ax + b = 0$ are 5 and -2.Find the value of $a$ and the value of $b$.$a = \text{...............................

2016 Winter

2

Theory

CH2 - Algebra

y is inversely proportional to the square root of \( (x - 3) \).When \( x = 7, y = 3 \).Find \( y \) in terms of \( x \).\[ y = \text{...................

2016 Winter

3

Theory

CH2 - Algebra

Given the equation $v = u + at$: (a) Find $v$ when $u = 5$, $a = -1$ and $t = 1.5$. $v =$ ext{.................................} [2] (b) Rearrange...

2016 Winter

1

Theory

CH1 - Number

On the number line, show the inequality $-2 \leq x < 3$.

2022 Summer

4

Theory

CH6 - Vectors and transformations

Work out \( 4 \times \binom{6}{-2} \).

2022 Summer

2

Theory

CH1 - Number

From the list of numbers, write down(a) the prime number,\text{.............................} [1](b) the cube number.\text{..............................

2022 Summer

2

Theory

CH2 - Algebra

Factorise $x^3 - 2x$.

2022 Summer

1

Theory

CH1 - Number

(a) Write 7.29784 correct to 3 significant figures. ......................................... [1](b) Write 0.00000306 in standard form. .................

2022 Summer

2

Theory

CH2 - Algebra

Solve.(a) $4x = 28$$x = \text{.........................................}$ [1](b) $3(a - 6) = 24$$a = \text{.........................................}$...

2022 Summer

1

Theory

CH10 - Probability

Karen has 3 blue hats, 5 red hats and 2 white hats.She also has 4 blue scarves, 3 red scarves and 1 white scarf.(a) Karen takes a hat at random and re...

2022 Summer

1

Theory

CH1 - Number

Find the value of $49^{\frac{1}{2}}$.

2022 Summer

3

Theory

CH1 - Number

Write 90 as the product of its prime factors.

2022 Summer

2

Theory

CH6 - Vectors and transformations

Find the magnitude of the vector \( \begin{pmatrix} 2 \\ 6 \end{pmatrix} \).Give your answer in simplest surd form.

2022 Summer

2