Theory

CH5 - Geometry

(a) Shade two more squares so that this shape has exactly one line of symmetry. [1](b) Shade two more triangles so that this shape has rotational sym...

2016 Summer

5

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ are points on the circle centre } O.Angle BOD = 130^{\circ}.(a) Find angle DCB.Angle DCB = \text{..........................

2016 Summer

2

Theory

CH5 - Geometry

From the list above, write down the letter which hasline symmetry only, ...........................................line symmetry and rotational symmet...

2016 Winter

2

Theory

CH5 - Geometry

The interior angle of a regular polygon is 176°. Work out how many sides the polygon has.

2016 Winter

1

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ lie on the circle, centre } O. Work out the value of \( y \). \( y = \text{...............................} \) \quad...

2016 Winter

1

Theory

CH5 - Geometry

In the diagram, $DC$ is parallel to $AB$ and $AC = AB$.Work out angle $ACB$.Angle $ACB = \text{..........................}$

2016 Summer

1

Theory

CH5 - Geometry

A, B and C lie on a circle, centre O. The line QBP is a tangent to the circle at B. AC = BC = BP and angle QBA = 42°. Find the value of (a) angle O...

2016 Winter

3

Theory

CH5 - Geometry

(a) A regular polygon has 12 sides. Work out the sum of the interior angles of the polygon. .............................................................

2016 Summer

3

Theory

CH5 - Geometry

OABC is a parallelogram.P is the midpoint of \(CB\).\(CQ : QA = 5 : 3\).\(\overrightarrow{OA} = \mathbf{a}\) and \(\overrightarrow{OC} = \mathbf{c}\)....

2016 Winter

1

Theory

CH5 - Geometry

The diagram shows a pentagon.Find the value of $x$.$x = \text{........................................}$ [3]

2016 Winter

2

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