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

CH7 - Mensuration

A cuboid has a square base of side 10 cm and a volume of 1200 cm^3.Work out the height of the cuboid.

2020 Summer

Theory

CH6 - Vectors and transformations

p = \begin{pmatrix} 3 \\ -1 \end{pmatrix} \quad q = \begin{pmatrix} 1 \\ -2 \end{pmatrix}(a) Find \ \mathbf{p+q}. \ \begin{pmatrix} \ \ \ \ \ \ \ \ \e...

2020 Summer

Theory

CH1 - Number

Work out $\frac{3}{4} \div 2\frac{1}{2}$.Give your answer as a fraction in its lowest terms.

2020 Summer

Theory

CH1 - Number

A truck of length 10 m passes a gate of length 2 m. The speed of the truck is 8 m/s.Find the time the truck takes to completely pass the gate.

2020 Summer

Theory

CH7 - Mensuration

Find the volume of a cone with radius 3 cm and perpendicular height 8 cm. Give your answer in terms of $\pi$. .......................................$...

2020 Summer

Theory

CH8 - Trigonometry

Work out the value of $x$.$x = \text{...........................}$

2020 Summer

Theory

CH2 - Algebra

Simplify.(a) \( \frac{15w^{15}}{3w^3} \) .............................................................. [2](b) \( (125y^6)^{\frac{2}{3}} \) .............

2020 Summer

Theory

CH2 - Algebra

Rearrange the formula to write $h$ in terms of $\pi$, $r$ and $A$.$A = 2\pi rh + 3\pi r^2$$h = \text{.................................}$ [2]

2020 Summer

Theory

CH5 - Geometry

A, B \text{ and } C \text{ are points on a circle.}T\!A \text{ is a tangent to the circle at } A.C\!A = C\!B \text{ and angle } B\!A\!T = 70^\circ.\te...

2020 Summer

Theory

CH1 - Number

When Jack sells a computer for $264 he makes a profit of 20%.Work out the price Jack paid for the computer.$ ..............................

2020 Summer