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

1

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

1

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

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

Shade the region indicated in each of these Venn diagrams.(a) $A' \cap B'$ [1](b) $A \cup (B \cap C)$ [1](c) $A \cap B \cap C'$ [1]

2017 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 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

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

2015 Winter

Theory

CH9 - Sets

In each Venn diagram, shade the region indicated.[Image_1: (A \cup B)^'][Image_2: (P \cup Q) \cap R]

2018 Summer

Theory

CH1 - Number

(a) Write 4725.6 correct to two significant figures. Answer(a) .................................................. [1] (b) Write 0.01026 correct to t...

2015 Summer

1

Theory

CH2 - Algebra

Expand and simplify.(a) \(-3x(2-x)-(3x^2-7)\)Answer(a) ...................................................[2](b) \((5x-3y)(2y-5x)\)Answer(b) ............

2015 Summer

Theory

CH1 - Number

Find the exact value of $27^{\frac{1}{3}}$.

2015 Summer

Theory

CH2 - Algebra

Simplify \( (16x^8y^2)^{\frac{1}{2}} \).

2015 Summer

1

Theory

CH1 - Number

(a) Simplify.\[ \sqrt{27} + \sqrt{147} \]Answer(a) ............................................................... [2](b) Rationalise the denominator....

2015 Summer

1

Theory

CH3 - Functions

Solve.$\log x + \log 5 - \log 25 = \log 10$Answer $x=$ ..................................................

2015 Summer

Theory

CH1 - Number

There are 400 students at a school.$\frac{2}{5}$ of the students are boys.70\% of the girls can swim.The ratio of boys that cannot swim to girls that ...

2015 Summer

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

1

Theory

CH3 - Functions

Given $f(x) = \frac{1}{3x - 2}$(a) Find $f(4)$.Answer(a) .......................................................... [1](b) Solve $f(x) = \frac{1}{4}$....

2015 Summer

1

Theory

CH6 - Vectors and transformations

ABCD is a trapezium. $AB = 2DC$, $DM = 2MC$, and $AN = 3NB$. $\overrightarrow{AB} = p$ and $\overrightarrow{AD} = q$. (a) Write $\overrightarrow{MC...

2015 Summer

1