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

Theory

CH10 - Probability

François and George each ask a sample of students at their college how they travel to college. These are their results. [Table_1] \begin{array}{...

2015 Summer

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

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

Theory

CH10 - Probability

Tricia has 2 bags.In the first bag there are 6 white balls and 4 red balls.In the second bag there are 4 blue balls, 3 white balls and 2 red balls.She...

2015 Summer

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

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

Theory

CH10 - Probability

A bag contains 3 red balls and 5 blue balls. In an experiment, three balls are chosen at random without replacement. (a) Find the probability that th...

2015 Winter

Theory

CH10 - Probability

In this question, the weather is only considered to be either wet or dry. When the weather is dry the probability that Sara will go walking is $\frac...

2015 Winter

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

Theory

CH1 - Number

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

2021 Summer

Theory

CH1 - Number

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

2021 Summer

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

Theory

CH2 - Algebra

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

2021 Summer

Theory

CH1 - Number

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

2021 Summer

Theory

CH5 - Geometry

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

2021 Summer

Theory

CH2 - Algebra

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

2021 Summer

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

Theory

CH2 - Algebra

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

2021 Summer

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