Eduqas GCSE Maths Component 1F Foundation June 2019 question paper

Work out 0·5 × 100.

Work out 45 ÷ 10.

Write 0·31 as

a fraction,

a percentage.

Circle the greatest value.

4·07 4·18 4·601 4·0615 4·009

2. (a) Halima makes a shape by joining 5 cubes.

She looks at each of the side elevations, from the positions A, B, C and D, and the plan, from E.

Here is what Halima sees from one of her positions.

Which position is this?

Circle your answer.

A B C D E

How many square faces can Halima see from position C?

Circle your answer.

1 2 3 4 5

The diagram shows the plan and side elevation of another 3D shape.

Circle the correct name for the 3D shape shown.

cylinder circle pyramid cone sphere

Cover Insurance sells insurance for laptops.

They have two offers.

Mika wants to buy insurance for his laptop.

Show that if Mika uses Offer 2 he will save 10% of the cost of using Offer 1.

During April, Cover Insurance sold 630 policies.

How many policies per day, on average, did they sell for this month?

This table shows the total number of medals won by four countries in the 2012 London Olympic Games.

Draw a bar chart to show this information.

2012 Olympic Medals Won

The pictogram shows the total number of medals won by the same four countries in the 2016 Rio Olympic Games.

Use the information given in the table and pictogram to complete the sentences below:

The total number of medals won by Brazil in 2016 is_{……........ ……} more than they won in 2012.

The total number of medals won by_{……........ ……}

2016 is 4 more than they won in 2012.

In 2016, the total of gold, silver and bronze medals won by China was 70.

They won: • 18 silver medals, • the same number of gold medals as they did bronze medals.

How many gold medals did China win?

Jamie rolls the dice and spins the spinner. He then multiplies the two scores.

Complete the diagram to show all Jamie’s possible outcomes.

Find the probability that Jamie’s outcome is an even number greater than 50.

The line AB is drawn on the 1 cm grid above.

Write down the coordinates of A.

The point C is the mid-point of AB.

Mark the position of the point C on the grid.

The line BD is parallel to the y-axis. Triangle ABD is a right-angled triangle.

Mark the position of point D on the grid and write down the length of AD.

7. (a) Simplify

2a – b + 5a – 3b,

1 + 4 × c × c.

This formula converts a UK shoe size to a Japanese shoe size.

Japanese size = UK size + 19

Yuto wears a Japanese size 29·5.

What would Yuto’s shoe size be in the UK?

The table shows nutritional information about a bottle of the sports drink, Fitade.

Complete the table.

One afternoon, Tori drinks 3 full bottles of Fitade.

How many millilitres of Fitade does Tori drink altogether, and how many grams of salt

does this contain?

She drinks_........ ml containing_........ grams of salt.

Show that sugars are 64% of the carbohydrate in Fitade.

You must show all your working.

Petra is shopping with 2 of her friends.

She buys a note book and six identical pencils.

The note book costs the same as 2 of the pencils. Her bill is £16.80.

How much does a note book cost?

Petra pays with a £50 note. She is given £34.20 change.

She tells the shopkeeper,

“You have given me too much change.”

Is Petra correct?

Yes No

Show how you decide.

The 3 friends go to a café. Here is part of the menu.

Each of the 3 friends orders one drink and one cake from this menu.

They save a total of exactly £5 using the 3 for 2 offers. Their bill totals £16.50 after the saving has been taken off.

What drinks and cakes did the 3 friends order?

You must show all your working.

Drinks_........ ,_........ ,_........

Cakes_........ ,_........ ,_........

Twelve members of a running club take part in three runs.

The table shows the times taken, in hours, by the 12 runners to complete the first run.

Find the mode of the times.

Find the range of the times.

A runner was chosen at random from those who took part in the first run.

Find the probability that this runner took at most 1·5 hours.

One of these 10 runners was injured during the third run and walked most of the way.

Circle the plot most likely to represent this runner on the scatter diagram.

The times, in hours, taken by the remaining 2 runners were:

Plot these times on the scatter diagram.

Using the information on the completed scatter diagram, what was the difference between the fastest time for the second run and the fastest time for the third run?

Give your answer in minutes.

Time difference =_{………........ ………………..} minutes

11. (a) A

Work out the area of triangle ABC.

This shape is made from two rectangles.

The shape has one line of symmetry. The perimeter of the shape is 40 cm. The length of BC is 4 times the length of AB.

Work out the length of BC.

The diagram shows the position of two points, A and B.

The scale is 1 cm represents 1 km.

1 cm represents 1 km

Measure and write down the bearing of B from A.

Point C is 5 km from A and 6 km from B. The bearing of C from B is an acute angle.

Complete the diagram to find the position of point C.

Steph is a baker.

She bakes 42 white rolls and 60 brown rolls.

Write the ratio of white rolls to brown rolls in its simplest form.

white rolls: brown rolls =_{…........ ………}:_{…........ ………}

Steph makes scones in three flavours: cheese, fruit and plain. She makes: • 4 times as many fruit scones as cheese scones, • 3 times as many plain scones as cheese scones.

She sells each scone for the same price. She makes a total of £96 from the sale of all the scones.

How much does she make from the sale of the plain scones?

Steph makes and sells birthday cakes. Each cake costs £54 to make. She makes a profit of 15% on each cake.

What is the selling price of Steph’s birthday cakes?

Show that x = 50°.

Give a reason for each step of your answer.

Terry is doing his homework.

Terry’s next question is:

A factory production line makes 275 thousand cans of drink in 5 hours. How many hours would it take for this production line to make 165 thousand cans of the same drink? You may assume each can is the same size.

Terry thinks the answer is 3 hours.

Is Terry correct?

Yes No

Show how you decide.

16.

Give your answer as a mixed number.

When a fraction is divided by the answer is

Find this fraction.

Huw is paid a weekly wage.

Every week he:

• spends 70% of the money he has left on his living expenses,

• spends all that remains on his social life.

One week, Huw saves £40.

How much does Huw spend on his social life?

What percentage of his weekly wage does Huw spend on his social life?

18. (a) Solve 19 – 4 x = 11.

Solve 3x + 2 5.

Cherie is in charge of marketing for a tourist attraction.

One weekend, she collects some data about the value of ice cream sales from the café. She records her data in a table and uses it to draw a pie chart.

State one criticism of the use of a pie chart to display her data.

Cherie also records the number of visitors to the tourist attraction each season for 4 years. Her results are shown in the table.

Comment on the trend in the annual number of visitors shown by the data in the table.

20. (a) 120 = 2³ × 3^k × 5

Find the value of k.

Write 168 as a product of its prime factors.

LoWatts Ltd makes light bulbs that are identical in size.

They have regular orders from Company A for 120 light bulbs and from Company B for 168 light bulbs.

LoWatts Ltd uses one size of box to supply both Company A and Company B. Each box used contains the same number of light bulbs and is full. The number of boxes used is as few as possible.

How many light bulbs does each box hold?

State an assumption that you have made in your answer to part (a).

Comment on the effect that your assumption has had on your decision.

The table shows some of the values of y = x² + x – 1 for –2 x 1.

Complete the table above.

On the graph paper below, draw the graph of y = x² + x – 1 for –2 x 1.

State the equation of the line of symmetry of the curve y = x² + x – 1.

Use your graph to solve x² + x – 1 = 0.