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

Work out.(a) \( \frac{8}{0.04} \) .......................................................[1](b) \( \frac{4}{5} - \frac{1}{4} \) .........................

2016 Summer

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

Theory

CH1 - Number

By rounding each number to 1 significant figure, estimate the value of this calculation. Show all your working.$$\frac{11.37 \times 289}{52.3 + 99.6}$...

2016 Summer

Theory

CH1 - Number

Given $a = 2^5 \times 3^2 \times 7^3$ and $b = 2^3 \times 3^4 \times 5$.Leaving your answer as the product of prime factors, find(a) $b^2$, .............

2016 Summer

Theory

CH11 - Statistics

Luis has a large jar containing red, yellow, green and blue beads.He takes a bead at random from the jar, notes its colour and replaces it.He repeats ...

2016 Summer

Theory

CH2 - Algebra

Solve.$$ \frac{x}{2} - \frac{x+1}{3} = 2 $$

2016 Summer

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

CH2 - Algebra

Solve.$2x + 3 > 2(3x - 1)$

2016 Summer

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

Theory

CH2 - Algebra

Factorise completely.(a) $12x^2 - 27xy$ .......................................................[2](b) $4a^2 + 8ab - ac - 2bc$ ...........................

2016 Summer