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

CH7 - Mensuration

A cuboid has a square base of side 10 cm and a volume of 1200 cm^3.Work out the height of the cuboid.

2020 Summer

Theory

CH6 - Vectors and transformations

p = \begin{pmatrix} 3 \\ -1 \end{pmatrix} \quad q = \begin{pmatrix} 1 \\ -2 \end{pmatrix}(a) Find \ \mathbf{p+q}. \ \begin{pmatrix} \ \ \ \ \ \ \ \ \e...

2020 Summer

Theory

CH1 - Number

Work out $\frac{3}{4} \div 2\frac{1}{2}$.Give your answer as a fraction in its lowest terms.

2020 Summer

Theory

CH1 - Number

A truck of length 10 m passes a gate of length 2 m. The speed of the truck is 8 m/s.Find the time the truck takes to completely pass the gate.

2020 Summer

Theory

CH7 - Mensuration

Find the volume of a cone with radius 3 cm and perpendicular height 8 cm. Give your answer in terms of $\pi$. .......................................$...

2020 Summer

Theory

CH8 - Trigonometry

Work out the value of $x$.$x = \text{...........................}$

2020 Summer

Theory

CH2 - Algebra

Simplify.(a) \( \frac{15w^{15}}{3w^3} \) .............................................................. [2](b) \( (125y^6)^{\frac{2}{3}} \) .............

2020 Summer

Theory

CH2 - Algebra

Rearrange the formula to write $h$ in terms of $\pi$, $r$ and $A$.$A = 2\pi rh + 3\pi r^2$$h = \text{.................................}$ [2]

2020 Summer

Theory

CH5 - Geometry

A, B \text{ and } C \text{ are points on a circle.}T\!A \text{ is a tangent to the circle at } A.C\!A = C\!B \text{ and angle } B\!A\!T = 70^\circ.\te...

2020 Summer

Theory

CH1 - Number

When Jack sells a computer for $264 he makes a profit of 20%.Work out the price Jack paid for the computer.$ ..............................

2020 Summer