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

(a) Write 4725.6 correct to two significant figures. Answer(a) .................................................. [1] (b) Write 0.01026 correct to t...

2015 Summer

1

Theory

CH2 - Algebra

Expand and simplify.(a) \(-3x(2-x)-(3x^2-7)\)Answer(a) ...................................................[2](b) \((5x-3y)(2y-5x)\)Answer(b) ............

2015 Summer

2

Theory

CH1 - Number

Find the exact value of $27^{\frac{1}{3}}$.

2015 Summer

2

Theory

CH2 - Algebra

Simplify \( (16x^8y^2)^{\frac{1}{2}} \).

2015 Summer

1

Theory

CH1 - Number

(a) Simplify.\[ \sqrt{27} + \sqrt{147} \]Answer(a) ............................................................... [2](b) Rationalise the denominator....

2015 Summer

1

Theory

CH3 - Functions

Solve.$\log x + \log 5 - \log 25 = \log 10$Answer $x=$ ..................................................

2015 Summer

1

Theory

CH1 - Number

There are 400 students at a school.$\frac{2}{5}$ of the students are boys.70\% of the girls can swim.The ratio of boys that cannot swim to girls that ...

2015 Summer

2

Theory

CH5 - Geometry

(a) Write down the value of $x$.Answer(a) $x= \text{..................................................}$ [1](b) Find the value of $y$.Answer(b) $y= \t...

2015 Summer

2

Theory

CH3 - Functions

Given $f(x) = \frac{1}{3x - 2}$(a) Find $f(4)$.Answer(a) .......................................................... [1](b) Solve $f(x) = \frac{1}{4}$....

2015 Summer

1

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