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

2

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

2

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

1

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

(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

2

Theory

CH1 - Number

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

2015 Summer

2

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

1

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

2

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

2

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

2