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

3

Theory

CH1 - Number

Work out.(a) $(0.3)^2$ ............................................................... [1](b) $\frac{4}{9} - \frac{1}{6}$ ...............................

2019 Summer

1

Theory

CH1 - Number

Divide 360 in the ratio 7 : 2. ...................., ............................. [2]

2019 Summer

1

Theory

CH5 - Geometry

ABC is a triangle.FED and BCD are straight lines.Work out angle $EDC$.Angle $EDC = \text{..........................................................}$

2019 Summer

1

Theory

CH2 - Algebra

Expand and simplify.$4(3x + y) - 3(x - 2y)$

2019 Summer

2

Theory

CH1 - Number

Sacha drove 425 km from home at an average speed of 100 km/h.(a) Calculate the time for the journey giving your answer in hours and minutes..............

2019 Summer

1

Theory

CH2 - Algebra

(a) Write down the integer solutions to this inequality. $$-2 \leq 2x < 8$$ ....................................................................... [...

2019 Summer

1

Theory

CH1 - Number

Work out $(5.2 \times 10^{18}) - (2.4 \times 10^{17})$. Give your answer in standard form.

2019 Summer

1

Theory

CH1 - Number

A map is drawn to a scale of 1 cm to 5 km.(a) On the map, the distance between two towns is 4.8 cm.Find the actual distance between the towns............

2019 Summer

1

Theory

CH2 - Algebra

Factorise completely.$2x^2 - 18$

2019 Summer

1

Theory

CH9 - Sets

U = \{ \text{integers from 1 to 12} \} A = \{1, 2, 4, 5, 12\} B = \{2, 3, 4, 6, 10\} C = \{1, 2, 8, 9, 10\} (a) Complete the Venn Diagram. [2] (b...

2019 Summer

2