Theory

CH1 - Number

A is the point (-2, -1) and B is the point (6, 3).(a) Calculate $\lvert \overline{AB} \rvert$. ..........................................................

2016 Summer

2

Theory

CH1 - Number

(a) Use the cosine rule to show that $7x^2 - 4x - 80 = 0$. (b) (i) Solve the equation $7x^2 - 4x - 80 = 0$. Show all your working. \( x = ext{.........

2016 Summer

1

Theory

CH1 - Number

Rationalise the denominator.\n\n\( \frac{1}{\sqrt{7}} \)

2016 Summer

2

Theory

CH1 - Number

The table shows the masses in grams of 200 eggs. \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Mass (m grams)} & 45 < m \leq 50 & 50 < m \leq 55 &...

2016 Summer

2

Theory

CH1 - Number

(a) $f(x) = 5 - 2x$(i) Solve $\frac{1}{f(x)} = 2$.$x =$ ............................................................ [2](ii) Find and simplify $f(f(x)...

2016 Summer

2

Theory

CH1 - Number

(a) Annelise buys a car that is one year old for $13\,600.The value of this car has reduced by 15\% of the value when it was new.(i) Calculate ...

2016 Summer

2

Theory

CH1 - Number

The frequency of a radio wave, $f$, is inversely proportional to the wavelength, $L$ metres.A radio station broadcasts on a frequency of 93.7 and a wa...

2016 Summer

2

Theory

CH1 - Number

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

2016 Summer

2

Theory

CH1 - Number

(a) (i) Draw the image of quadrilateral A after it has been reflected in the y-axis and then rotated through 90° anti-clockwise about the origin. [3]...

2016 Summer

1

Theory

CH1 - Number

The diagram shows a solid trophy for a football tournament. The sphere on the top has a radius of 15 cm. The sphere rests on a cylinder with the same ...

2016 Summer

1

Theory

CH1 - Number

(a) Insert one pair of brackets to make the statement correct.$3 \times 7 + 2 + 9 = 36$ [1](b) Work out $(0.2)^3$. ......................................

2023 Summer

2

Theory

CH2 - Algebra

Solve the equation. $$7 - 5x = -3$$ $x = \text{.......................}$ [2]

2023 Summer

1

Theory

CH6 - Vectors and transformations

(a) Work out \( \begin{pmatrix} 1 \\ 2 \end{pmatrix} - \begin{pmatrix} -5 \\ 3 \end{pmatrix} \). \( \begin{pmatrix} \quad \\ \quad \end{pmatrix} \) [1...

2023 Summer

1

Theory

CH2 - Algebra

(a) Factorise.$$2p^2 - pq$$[1](b) Expand the brackets and simplify.$$(p - 7)(p + 3)$$[2]

2023 Summer

1

Theory

CH2 - Algebra

(a) Work out $\frac{11}{12} + \frac{3}{4}$.Give your answer as a mixed number in its simplest form. .....................................................

2023 Summer

1

Theory

CH6 - Vectors and transformations

Rotate triangle $T$ $90^{\circ}$ clockwise about the point $(2, 1)$.

2023 Summer

1

Theory

CH5 - Geometry

The interior angle of a regular polygon is 140°. Find the number of sides of this polygon.

2023 Summer

1

Theory

CH2 - Algebra

Rearrange this equation to make $x$ the subject.$y = 7x + 2$$x = \text{..............................}$ [2]

2023 Summer

1

Theory

CH2 - Algebra

Simplify \( (3w^3)^3 \).

2023 Summer

1

Theory

CH5 - Geometry

$APB$ is a tangent to the circle at $P$.Work out the value of $x$.$x = \text{..........................}$

2023 Summer