WJEC GCSE Mathematics Unit 2: Calculator-allowed Higher November 2019 question paper 3300U60-1

A solution of the equation

lies between 3 and 4.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

A biased coin is thrown 100 times. The number of heads thrown is recorded after 20 throws, 40 throws, 60 throws, 80 throws and 100 throws.

Some of the results are recorded in the relative frequency table below.

Complete the table.

The table below shows some of the values of y = x² − 2x − 4 for values of x from –3 to 4.

Complete the table by finding the value of y when x = 1.

On the graph paper opposite, draw the graph of y = x² − 2x − 4 for values of x from

–3 to 4.

Draw the line y + x = 4 on the graph paper.

Sian thinks of a number.

Its value is increased by 25%.

Express the original number as a percentage of the increased number.

Calculate the length of the side MN in the triangle LMN shown below.

A solid object is made by drilling a cylindrical hole of radius 4 cm through a cuboid measuring

20 cm by 15 cm by 10 cm as shown below.

Calculate the volume of the object.

Give your answer in cm³.

The object is made from a material which has a density of 2·4 g/cm³. Calculate the mass of the object.

Give your answer in kg, correct to the nearest kg.

The equation of a straight line is y = 8 x – 5.

What is the gradient of the line?

Circle the correct answer.

The right-angled triangle ABC has an area of 84 cm².

AB = 24 cm.

Calculate the perimeter of the triangle ABC.

You must show all your working.

Simplify, and then factorise, the following expression.

Show that 2x² + 3x – 50 = 0.

Solve the equation 2x² + 3x – 50 = 0 to calculate the lengths AB and DC.

Give your answers correct to 1 decimal place.

Length of AB =_{……........ ……..} cm Length of DC =_{……........ ……..} cm

A rhombus has an area of 36∙8 cm². The rhombus is enlarged by a scale factor of 7.

Calculate the area of the enlarged rhombus.

The diagram shows a sector of a circle with centre O and radius 7 cm.

Calculate the perimeter of the sector OAB.

Describe fully a single transformation that transforms shape A onto shape B.

The following twelve cards are placed in a box.

Three cards are chosen at random from the box at the same time.

Calculate the probability that the three cards drawn are all the letter ‘C’.

The letters A, E and O are vowels. All the other letters on these cards are consonants.

Calculate the probability that the three cards drawn include at least one consonant and at

least one vowel.

Make a the subject of the following formula.

The following graph represents the curve y = f (x).

There are 9 equations and 4 graphs of different transformations of y = f(x) shown below. Choose the equation which describes each transformation of y = f(x). Write it in the box provided.

One has been completed for you.