Theory

CH6 - Vectors and transformations

ABCD is a trapezium. $AB = 2DC$, $DM = 2MC$, and $AN = 3NB$. $\overrightarrow{AB} = p$ and $\overrightarrow{AD} = q$. (a) Write $\overrightarrow{MC...

2015 Summer

Theory

CH6 - Vectors and transformations

Find the magnitude of \( \begin{pmatrix} -6 \\ 4 \end{pmatrix} \).Write your answer in surd form as simply as possible.

2015 Summer

Theory

CH6 - Vectors and transformations

(a) Describe fully the single transformation that maps triangle A onto triangle B.Answer(a) .............................................................

2015 Summer

Theory

CH6 - Vectors and transformations

(a) Describe fully the single transformation that maps triangle A onto triangle B.Answer(a) .............................................................

2015 Summer

Theory

CH6 - Vectors and transformations

(a) (i) Rotate triangle $A$ through $90^\circ$ anticlockwise about the origin.Label the image $C$.[2](ii) Reflect triangle $C$ in the $x$-axis.Label t...

2015 Summer

Theory

CH6 - Vectors and transformations

a = \begin{pmatrix} 5 \\ -12 \end{pmatrix}, \ b = \begin{pmatrix} 2 \\ -3 \end{pmatrix}(a) Find \ a - 3b. [2](b) Work out \ |a|. [2]

2015 Winter

Theory

CH6 - Vectors and transformations

Let \( \mathbf{p} = \begin{pmatrix} 2 \\ 3 \end{pmatrix} \) and \( \mathbf{q} = \begin{pmatrix} 1 \\ 6 \end{pmatrix} \) Find \( 2\mathbf{p} - 3\mathb...

2015 Winter

Theory

CH6 - Vectors and transformations

(a) \[ \mathbf{p} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}, \quad \mathbf{q} = \begin{pmatrix} 14 \\ 8 \end{pmatrix} \] (i) Find $2 \mathbf{p} + 3 \math...

2015 Winter

Theory

CH6 - Vectors and transformations

The transformation P is a reflection in the $x$-axis.The transformation Q is a rotation of $90^\circ$ clockwise about the origin.(a) Write down the tr...

2015 Winter

Theory

CH6 - Vectors and transformations

(a) (i) Describe fully the \textit{single} transformation that maps triangle $T$ onto triangle $U$.Answer(a)(i) \text{...........................}\tex...

2015 Winter

Theory

CH1 - Number

Work out.$(0.6)^2$..................................................... [1]

2017 Summer

Theory

CH1 - Number

(a) Write the fraction \( \frac{16}{60} \) in its lowest terms. ............................................. [1] (b) Work out. \( \frac{4}{11} + \f...

2017 Summer

Theory

CH2 - Algebra

Expand. $x(x^3 - 4x)$ ............................................................... [2]

2017 Summer

Theory

CH1 - Number

Change 430 $cm^2$ into $m^2$................................ $m^2$

2017 Summer

Theory

CH1 - Number

Write down the value of $16^0$.

2017 Summer

Theory

CH1 - Number

Find the lowest common multiple (LCM) of 20 and 24.

2017 Summer

Theory

CH3 - Functions

f(x) = x^3 - 2Find the value of x when f(x) = 25.x = .................................. [2]

2017 Summer

Theory

CH5 - Geometry

Find the value of x.x = \text{..............................} [3]

2017 Summer

Theory

CH2 - Algebra

Solve the simultaneous equations.$$4x + 3y = 0$$$$2x - y = 5$$$$x = \text{....................................}$$$$y = \text{............................

2017 Summer

Theory

CH6 - Vectors and transformations

Find $|p|$, giving your answer in the form $3\sqrt{a}$. Where $p = \begin{pmatrix} 6 \\ 3 \end{pmatrix}$.

2017 Summer