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

Theory

CH5 - Geometry

A, B, C and D are points on the circle, centre O. P Q is a tangent to the circle at the point C. Angle PCD = 55^∘ and angle ADO = 40^∘. Find (a)...

2015 Summer

Theory

CH5 - Geometry

In the diagram, $A, B, C, D$ and $E$ are points on the circle. $AD$ is a diameter and angle $CAD = 35^\circ$. Find(a) angle $ACD$, Answer(a) ............

2015 Summer

Theory

CH5 - Geometry

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

Theory

CH5 - Geometry

ABCD is a parallelogram. \( BFE \) and \( CDE \) are straight lines. (a) Explain why triangles \( AFB \) and \( DFE \) are similar. Answer(a) .........

2015 Summer

Theory

CH5 - Geometry

Work out the length of $AC$.

2015 Winter

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ lie on a circle, centre } O. Find the value of $x$ and the value of $y$. Answer $x = \text{................................

2015 Winter

Theory

CH5 - Geometry

A, B, C, and D lie on a circle, centre O.AD is parallel to OC and angle $ADC = 108^{\circ}$.Find(a) angle $ABC$,Answer(a) ...............................

2015 Winter

Theory

CH5 - Geometry

In triangle $ABC$, $AB = \sqrt{48}$ cm, $AC = 8$ cm and angle $ABC = 90^\circ$.Find(a) $BC$,Answer(a) \text{.............................} \text{ cm} ...

2015 Winter

Theory

CH5 - Geometry

Find the length of the hypotenuse of the triangle. Answer ............................................. cm

2015 Winter

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