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

(a) Insert one pair of brackets to make the statement correct.$3 \times 7 + 2 + 9 = 36$ [1](b) Work out $(0.2)^3$. ......................................

2023 Summer

2

Theory

CH2 - Algebra

Solve the equation. $$7 - 5x = -3$$ $x = \text{.......................}$ [2]

2023 Summer

1

Theory

CH6 - Vectors and transformations

(a) Work out \( \begin{pmatrix} 1 \\ 2 \end{pmatrix} - \begin{pmatrix} -5 \\ 3 \end{pmatrix} \). \( \begin{pmatrix} \quad \\ \quad \end{pmatrix} \) [1...

2023 Summer

1

Theory

CH2 - Algebra

(a) Factorise.$$2p^2 - pq$$[1](b) Expand the brackets and simplify.$$(p - 7)(p + 3)$$[2]

2023 Summer

1

Theory

CH2 - Algebra

(a) Work out $\frac{11}{12} + \frac{3}{4}$.Give your answer as a mixed number in its simplest form. .....................................................

2023 Summer

1

Theory

CH6 - Vectors and transformations

Rotate triangle $T$ $90^{\circ}$ clockwise about the point $(2, 1)$.

2023 Summer

1

Theory

CH5 - Geometry

The interior angle of a regular polygon is 140°. Find the number of sides of this polygon.

2023 Summer

1

Theory

CH2 - Algebra

Rearrange this equation to make $x$ the subject.$y = 7x + 2$$x = \text{..............................}$ [2]

2023 Summer

1

Theory

CH2 - Algebra

Simplify \( (3w^3)^3 \).

2023 Summer

1

Theory

CH5 - Geometry

$APB$ is a tangent to the circle at $P$.Work out the value of $x$.$x = \text{..........................}$

2023 Summer