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

5

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

2

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.(a) $(0.3)^2$ ............................................................... [1](b) $\frac{4}{9} - \frac{1}{6}$ ...............................

2019 Summer

1

Theory

CH1 - Number

Divide 360 in the ratio 7 : 2. ...................., ............................. [2]

2019 Summer

1

Theory

CH5 - Geometry

ABC is a triangle.FED and BCD are straight lines.Work out angle $EDC$.Angle $EDC = \text{..........................................................}$

2019 Summer

1

Theory

CH2 - Algebra

Expand and simplify.$4(3x + y) - 3(x - 2y)$

2019 Summer

2

Theory

CH1 - Number

Sacha drove 425 km from home at an average speed of 100 km/h.(a) Calculate the time for the journey giving your answer in hours and minutes..............

2019 Summer

1

Theory

CH2 - Algebra

(a) Write down the integer solutions to this inequality. $$-2 \leq 2x < 8$$ ....................................................................... [...

2019 Summer

1

Theory

CH1 - Number

Work out $(5.2 \times 10^{18}) - (2.4 \times 10^{17})$. Give your answer in standard form.

2019 Summer

1

Theory

CH1 - Number

A map is drawn to a scale of 1 cm to 5 km.(a) On the map, the distance between two towns is 4.8 cm.Find the actual distance between the towns............

2019 Summer

1

Theory

CH2 - Algebra

Factorise completely.$2x^2 - 18$

2019 Summer

1

Theory

CH9 - Sets

U = \{ \text{integers from 1 to 12} \} A = \{1, 2, 4, 5, 12\} B = \{2, 3, 4, 6, 10\} C = \{1, 2, 8, 9, 10\} (a) Complete the Venn Diagram. [2] (b...

2019 Summer

2