Eduqas GCSE Maths Component 2F Foundation June 2018 question paper

The table below is part of a form for ordering equipment.

Fill in all the missing numbers.

Each diagram shows a balance with the total mass on each side being equal.

Use the information above to complete the balance below with the missing mass.

A rectangle has a perimeter of 18 cm.

The length and the width are both whole numbers. The length is always greater than the width.

Complete the table to show all the possible lengths and widths of the rectangle.

Which rectangle from your table has the greatest area?

Show how you decide.

Simon is ironing shirts.

It takes him 15 minutes to iron 2 shirts.

How long would it take Simon to iron 26 shirts?

Give your answer in hours and minutes.

What assumption have you made in answering part (a)?

If this assumption were not correct, what effect would this have on your answer

to part (a)?

Use the list of numbers below to complete the following statements.

75 50 13 25 17

The prime numbers are_{…........ …} and_{…........ …}

The sum of the prime numbers is_{…........ …}

The product of two numbers from the list is calculated. This product is as large as possible and is not a multiple of 10.

The two numbers are_{…........ …} and_{…........ …}

The product of these numbers is_{…........ …}

6. (a) The diagram below shows a triangular tile.

What is the mathematical name of the triangle used for the tile?

Some of these triangular tiles are arranged into a pattern.

Each triangle has sides of length 6 cm.

Calculate the perimeter of the pattern.

What fraction of the pattern is one triangular tile?

7. (a) Simplify a + 14 a + 8 a.

Sadie has simplified the following expression.

6a + 12b – 4a + 15b.

Her answer is 2a – 3b.

Is she correct?

Yes No

You must show all your working.

Anne is using an old recipe to make Bolognese sauce.

She knows that;

1 pound (lb) = 16 ounces (oz), 1 ounce (oz) is approximately equal to 28 grams (g).

Show that the quantity of beef needed is 672 grams.

How much beef is needed to make enough Bolognese sauce for 8 people?

Give your answer in grams.

If Anne uses 728g of tomatoes, how many servings is she making?

The table shows the prices of 1st class and 2nd class stamps for some years between 2006

and 2016.

In which year was the price of a 1st class stamp double the price of a 1st class stamp

in 2006?

Write the ratio of the price of a 1st class stamp to the price of a 2nd class stamp in 2015.

Simplify the ratio as far as possible.

In 2010, an accountant sent 2 500 letters using 1st class stamps. In 2015, the accountant sent 2 150 letters using 2nd class stamps. In which year did the accountant spend more money on stamps, and by how much?

Give your answer in pounds (£).

Jenny looked at the table of prices of stamps and said, “In 2012, the price of a 1st class stamp is 20% more than the price of a 2nd class stamp”.

Show that Jenny is correct.

10. (a) Calculate 104% of 1240.

Seren scored 19 out of 24 in her maths test.

David scored 75% in the same maths test.

Who scored a higher mark in this test?

You must show all your working.

A bicycle wheel has a diameter of 700 mm.

Calculate the circumference of the wheel.

A different wheel has a circumference of 1600 mm.

This wheel is rolled along the ground to measure distance.

A mark is made on the ground as the wheel completes each turn.

How far apart are the first and fourth marks?

Give your answer in metres.

12. (a) The number of students in each year of a school is shown in the table below.

Complete the table and draw a pie chart to display this information.

Two schools, Grange School and Parkland School each produce information leaflets. The pie charts below are from the different information leaflets. They show the proportions of students who study French, German and Spanish at these

At Grange School, 48 students study Spanish.

Calculate the number of students who study French at Grange School.

Eight friends go to a restaurant for a meal.

The bill comes to a total of £280.

The friends agree to • add at least 12% to the bill to give a tip, • share the bill equally, • pay a whole number of pounds.

Gordon says that each of the friends must pay £39. Decide whether Gordon is correct or incorrect.

You must show all your working and give a reason for your answer.

Two triangles, A and B, are shown on the grid below.

Describe the single transformation that transforms triangle A onto triangle B.

Reflect triangle A in the line y = 4 and label your answer C.

Jimmy went for a bike ride.

His journey is represented on the distance time graph below.

What was Jimmy’s average speed between 09:00 and 11:00?

Give an explanation for the shape of the graph between 11:00 and 11:30.

(c) (i) Between which times was Jimmy cycling at the greatest speed?

How can you tell this from the graph?

Between 12:00 and 13:00, Jimmy cycled at a speed of 10 km/h. At 13:00, he increased his speed so that he had cycled a total of 90 km between 09:00 and 14:00.

Show his journey from 12:00 to 14:00 on the graph.

Match each graph to the correct equation.

The first one has been completed for you.

17. (a) Which of the following are not written in standard form?

Circle your answers.

Calculate 5 × (2·6 × 10⁴), giving your answer in standard form.

= {2,3,4,5,6,7,8,9 }

P = {even numbers}

Q = {numbers divisible by 3}

Complete the Venn diagram below.

A number is chosen at random from the numbers 2 to 9.

What is the probability that the number chosen is odd and not divisible by 3?

Three friends, Jane, Caroline and Eddie, each throw the same dice 40 times.

Their results are shown in the table below.

What is the best estimate of the probability of scoring a 2 on this dice?

Using Jane’s, Caroline’s and Eddie’s results, how many times would you expect a

score greater than 4 to occur in 480 throws of this dice?

20. (a) Factorise a² + 5a – 14.

Factorise b² – 25.

Is it possible for this crane to lift this statue?

You must show all your working and give a reason for your answer.

Reason:

The tourist office in Trofenberg displays the snowfall data each month in a table.

The table shows snowfall in Trofenberg for each day during January.

Snowfall, s (cm)	Number of days
0 s 20	1
20 s 40	8
40 s 60	9
60 s 80	7
80 s 100	6

Calculate an estimate for the mean daily snowfall in Trofenberg for January.

You must show all your working.

There were 9 days when the snowfall was between 40 cm and 60 cm. On each of these days, the snowfall was actually between 57 cm and 59 cm.

Explain why the estimate for the mean daily snowfall in January may still be

fairly accurate.

Calculate the length x.

Calculate the size of angle y.

Adanna wants to buy a ring.

The same ring could also be made from silver. The density of the silver in the ring would be 10·48 g/cm³.

Calculate the difference in the masses of the two rings.

Difference in mass is_{………........ ……} g

Calculate how much change Sunita would get from £40 when buying 7 shower curtains and 5 rails.

You must use an algebraic method.

Sunita’s change from £40 would be_{…………........ ……….}

Wayne says, ‘6·5 m² is the same as 650 cm², because there are 100 cm in 1 metre.’

Maria says, ‘6·5 m² is the same as 65 000 cm².’

Explain why Maria is correct.