Theory

CH9 - Sets

The sets $P$, $Q$ and $R$ are subsets of the universal set $U$.• $P \cap R \neq \emptyset$• $Q$ is a subset of $R$• $Q \cap P = \emptyset$Comple...

2015 Summer

Theory

CH9 - Sets

The Venn diagram shows the sets $A$, $B$ and $C$.$U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\}$$A = \{\text{factors of 12}\}$$B = \{\text...

2015 Summer

Theory

CH9 - Sets

The Venn diagram shows the \textbf{number of elements} in each subset. (a) Find $n(P \cup Q)'$. Answer(a) .............................................

2015 Winter

Theory

CH9 - Sets

On each Venn diagram, shade the region indicated.$$ (A \cup B)' $$$$ (C \cup D) \cap E' $$

2015 Winter

Theory

CH9 - Sets

(a) Complete the Venn diagram by putting the numbers 2, 3, 4, 8, 12, 15 and 18 in the correct subsets. [2] (b) List the members of (i) $(E \cup F \...

2016 Summer

Theory

CH9 - Sets

On each Venn diagram, shade the area indicated.[Image_1: (P \cap Q)'][Image_2: W \cap V' \cap X']

2016 Winter

Theory

CH9 - Sets

(a) Show that $n(P \cap Q) = 8$. [2](b) An element is chosen at random from $U$.Find the probability that the element is a member of(i) $P \cup Q$. .....

2016 Winter

Theory

CH9 - Sets

(a) In each diagram, shade the region indicated. $A \cap B'$ $(A \cup C) \cap B'$ [2] (b) Use set notation to describe the shaded region. .....

2017 Summer

Theory

CH9 - Sets

The Venn diagram shows the sets $M$, $E$ and $T$.$U = \{ \text{students at a school} \}$$M = \{ \text{students who study mathematics} \}$$E = \{ \text...

2017 Summer

Theory

CH9 - Sets

In a survey, 40 students are asked if they like football, $F$, and if they like baseball, $B$. 22 like football, 19 like baseball and 6 do not like ei...

2017 Summer

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