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

CH1 - Number

(a) Work out $5 - 7 \times 2 + 8$.............................................. [1](b) Find $\sqrt[3]{0.001}$............................................

2018 Summer

Theory

CH5 - Geometry

(a) Find, by measuring, the size of this reflex angle. .........................................................[1](b) Work out the value of $x$. NOT...

2018 Summer

Theory

CH2 - Algebra

Solve these simultaneous equations. $x - 3y = 7$ $x - 2y = 5$ $x = \text{.................................}$ $y = \text{.................................

2018 Summer

Theory

CH1 - Number

(a) Write 0.68 as a fraction in its lowest terms......................................................... [1](b) Work out $\frac{3}{7} \cdot \frac{8}{...

2018 Summer

Theory

CH2 - Algebra

These are the first five terms of a sequence.1 \quad 0 \quad 1 \quad 4 \quad 9Find the $n^{th}$ term of this sequence.

2018 Summer

Theory

CH2 - Algebra

(a) Expand and simplify.$(2p - 7q)(p + q)$ ..................................................[2](b) Factorise.$2 - t - 2a + at$ .........................

2018 Summer

Theory

CH5 - Geometry

O is the centre of the circle.Find the value of $x$ and the value of $y$.$x = \text{.............................}$$y = \text{...........................

2018 Summer

Theory

CH2 - Algebra

y varies inversely as x^2. When x = 3, y = 4.Find y in terms of x.y = \text{.......................................} [2]

2018 Summer

Theory

CH2 - Algebra

(a) Find the value of $27^{\frac{2}{3}}$. [1](b) Simplify $18h^{18} \div 3h^{3}$. [2]

2018 Summer

Theory

CH2 - Algebra

Given the equation $v^2 = u^2 - 2as$, find $s$ in terms of $a$, $u$, and $v$.$s = \text{.....................................................} \,[2]$

2018 Summer