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

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

2015 Summer

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

Theory

CH1 - Number

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

2015 Summer

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

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

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