Theory

CH10 - Probability

(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

CH10 - Probability

A biased die, that has six faces, is numbered 1 to 6. The table shows the results when the die is rolled 60 times.[Table_1](a) Jose rolls the die.Find...

2016 Summer

2

Theory

CH10 - Probability

A bag contains 10 discs. 5 discs are red, 4 are blue and 1 is green. A disc is chosen at random and not replaced. A second disc is then chosen at rand...

2016 Winter

1

Theory

CH10 - Probability

The 50 members of an activities group either go walking or cycling.The table shows the choices of the males and females.[Table_1]| Walking | Cycling |...

2016 Winter

3

Theory

CH10 - Probability

Bag 1 only contains 6 blue balls and 4 red balls.Bag 2 only contains 8 blue balls and 2 red balls.Marco chooses a ball at random from Bag 1 and puts i...

2015 Summer

1

Theory

CH10 - Probability

A bag has 3 blue balls and 7 green balls only. One ball is chosen at random and not replaced. A second ball is then chosen at random.Find the probabil...

2017 Summer

1

Theory

CH10 - Probability

The diagram shows two unbiased dice, $A$ and $B$.The numbers on die $A$ are 0, 1, 1, 1, 2, 3.The numbers on die $B$ are 1, 2, 2, 3, 3, 3.When a die is...

2015 Winter

2

Theory

CH10 - Probability

Anneke, Babar, Céline, and Dieter each throw the same biased die. They want to find the probability of throwing a six with this die. They each thro...

2015 Summer

3

Theory

CH10 - Probability

Gitte has a bag containing coloured wristbands. There are 5 blue wristbands, 2 yellow wristbands and 4 pink wristbands.Gitte takes a wristband at rand...

2015 Summer

2

Theory

CH10 - Probability

Two fair dice, each numbered 1, 2, 3, 4, 5, 6, are rolled and the total score is recorded. Find the probability that the total score is(a) 12,Answer(a...

2015 Winter

1

Theory

CH1 - Number

Work out.(a) \( 3 - 0.018 \) .......................................... [1](b) \( 0.04^2 \) .......................................... [1](c) \( \frac...

2021 Summer

2

Theory

CH1 - Number

(a) Write 5249.6 correct to two significant figures. ....................................................... [1] (b) Write 0.0030626 correct to three...

2021 Summer

2

Theory

CH1 - Number

A car travels 300 metres in 20 seconds.Find the average speed of the car in(a) metres per second, .......................................................

2021 Summer

2

Theory

CH2 - Algebra

Solve. (a) \( 2 - 4(5 - 2x) = 0 \) \( x = \text{...........................................} \) [2] (b) \(|2x - 5| = 9\) \( x = \text{.................

2021 Summer

2

Theory

CH1 - Number

Find the value of(a) $64^{0}$, ......................................................... [1](b) $64^{\frac{1}{3}}$. .....................................

2021 Summer

1

Theory

CH5 - Geometry

A regular polygon has 30 sides.Find the size of one exterior angle.

2021 Summer

2

Theory

CH2 - Algebra

Factorise.(a) $12ax - 2by + 3ay - 8bx$ .............................................. [2](b) $5x^2 - 6x - 8$ ............................................

2021 Summer

1

Theory

CH6 - Vectors and transformations

(a) Work out $\begin{pmatrix} 12 \\ -5 \end{pmatrix} - 5 \begin{pmatrix} 4 \\ -1 \end{pmatrix}$. [2](b) Work out the magnitude of $\begin{pmatrix} -3 ...

2021 Summer

1

Theory

CH2 - Algebra

Rearrange this equation to make $x$ the subject.\[ \frac{a}{2x - 3} = \frac{b}{5x} \]$x$ = .............................

2021 Summer

1

Theory

CH8 - Trigonometry

(a) Solve.$$\sin x = \frac{1}{2} \text{ for } 0^\circ \leq x \leq 90^\circ$$$$x = \text{.......................................} \; [1]$$(b) Solve.$$\...

2021 Summer

2