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

(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