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.(a) \( \frac{8}{0.04} \) .......................................................[1](b) \( \frac{4}{5} - \frac{1}{4} \) .........................

2016 Summer

Theory

CH5 - Geometry

(a) Shade two more squares so that this shape has exactly one line of symmetry. [1](b) Shade two more triangles so that this shape has rotational sym...

2016 Summer

Theory

CH1 - Number

By rounding each number to 1 significant figure, estimate the value of this calculation. Show all your working.$$\frac{11.37 \times 289}{52.3 + 99.6}$...

2016 Summer

Theory

CH1 - Number

Given $a = 2^5 \times 3^2 \times 7^3$ and $b = 2^3 \times 3^4 \times 5$.Leaving your answer as the product of prime factors, find(a) $b^2$, .............

2016 Summer

Theory

CH11 - Statistics

Luis has a large jar containing red, yellow, green and blue beads.He takes a bead at random from the jar, notes its colour and replaces it.He repeats ...

2016 Summer

Theory

CH2 - Algebra

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

2016 Summer

Theory

CH9 - Sets

(a) Complete the Venn diagram by putting the numbers 2, 3, 4, 8, 12, 15 and 18 in the correct subsets. [2] (b) List the members of (i) $(E \cup F \...

2016 Summer

Theory

CH2 - Algebra

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

2016 Summer

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ are points on the circle centre } O.Angle BOD = 130^{\circ}.(a) Find angle DCB.Angle DCB = \text{..........................

2016 Summer

Theory

CH2 - Algebra

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

2016 Summer