Theory

CH6 - Vectors and transformations

Write the vectors $\mathbf{p}$, $\mathbf{q}$ and $\mathbf{r}$ in terms of $\mathbf{a}$ and $\mathbf{b}$.p = ........................................q ...

2016 Summer

1

Theory

CH6 - Vectors and transformations

(a) $ \mathbf{u} = \begin{pmatrix} -3 \\ -2 \end{pmatrix} $ and $ \mathbf{v} = \begin{pmatrix} -5 \\ -3 \end{pmatrix} $(i) Find $ \mathbf{u} + \mathbf...

2016 Winter

2

Theory

CH6 - Vectors and transformations

Describe fully the single transformation that is the \textbf{inverse} of(a) a reflection in the line $y = x$, ...........................................

2016 Winter

2

Theory

CH6 - Vectors and transformations

Triangle B is the image of triangle A after a reflection. Triangle C is the image of triangle B after an enlargement, scale factor 2. Triangle D is th...

2016 Winter

2

Theory

CH6 - Vectors and transformations

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

2016 Winter

2

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

2

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

1

Theory

CH6 - Vectors and transformations

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

2015 Summer

2

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

2

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

2

Theory

CH1 - Number

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

2016 Summer

3

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

5

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

5

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

2

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

1

Theory

CH2 - Algebra

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

2016 Summer

1

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

1

Theory

CH2 - Algebra

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

2016 Summer

2

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

2

Theory

CH2 - Algebra

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

2016 Summer

1