Theory

Circle Theorems

A, B, C and D lie on a circle, centre O.AP and BP are tangents to the circle.AC and BD intersect at X.Angle APB = 52°. (a) Complete the stateme...

2022 Winter

2

Theory

Circle Theorems

A, B, C and D lie on a circle, centre O.AP and BP are tangents to the circle.Angle $APB = 46^{\circ}$. (a) Complete the statement. Angle $OAP = 90...

2017 Summer

2

Theory

Circle Theorems

A, B and C lie on a circle, centre O. AP and BP are tangents to the circle. AB intersects OP at the point X and angle OPB = 26°.  (a) Find...

2015 Summer

2

Theory

CH1 - Number

On the number line, show the inequality $-2 \leq x < 3$.

2022 Summer

4

Theory

CH6 - Vectors and transformations

Work out \( 4 \times \binom{6}{-2} \).

2022 Summer

2

Theory

CH1 - Number

From the list of numbers, write down(a) the prime number,\text{.............................} [1](b) the cube number.\text{..............................

2022 Summer

2

Theory

CH2 - Algebra

Factorise $x^3 - 2x$.

2022 Summer

1

Theory

CH1 - Number

(a) Write 7.29784 correct to 3 significant figures. ......................................... [1](b) Write 0.00000306 in standard form. .................

2022 Summer

2

Theory

CH2 - Algebra

Solve.(a) $4x = 28$$x = \text{.........................................}$ [1](b) $3(a - 6) = 24$$a = \text{.........................................}$...

2022 Summer

1

Theory

CH10 - Probability

Karen has 3 blue hats, 5 red hats and 2 white hats.She also has 4 blue scarves, 3 red scarves and 1 white scarf.(a) Karen takes a hat at random and re...

2022 Summer

1

Theory

CH1 - Number

Find the value of $49^{\frac{1}{2}}$.

2022 Summer

3

Theory

CH1 - Number

Write 90 as the product of its prime factors.

2022 Summer

2

Theory

CH6 - Vectors and transformations

Find the magnitude of the vector \( \begin{pmatrix} 2 \\ 6 \end{pmatrix} \).Give your answer in simplest surd form.

2022 Summer

2