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

3

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

Work out.$(0.6)^2$..................................................... [1]

2017 Summer

3

Theory

CH1 - Number

(a) Write the fraction \( \frac{16}{60} \) in its lowest terms. ............................................. [1] (b) Work out. \( \frac{4}{11} + \f...

2017 Summer

2

Theory

CH2 - Algebra

Expand. $x(x^3 - 4x)$ ............................................................... [2]

2017 Summer

2

Theory

CH1 - Number

Change 430 $cm^2$ into $m^2$................................ $m^2$

2017 Summer

1

Theory

CH1 - Number

Write down the value of $16^0$.

2017 Summer

2

Theory

CH1 - Number

Find the lowest common multiple (LCM) of 20 and 24.

2017 Summer

1

Theory

CH3 - Functions

f(x) = x^3 - 2Find the value of x when f(x) = 25.x = .................................. [2]

2017 Summer

1

Theory

CH5 - Geometry

Find the value of x.x = \text{..............................} [3]

2017 Summer

1

Theory

CH2 - Algebra

Solve the simultaneous equations.$$4x + 3y = 0$$$$2x - y = 5$$$$x = \text{....................................}$$$$y = \text{............................

2017 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