2012 edexcel foundation a paper 1

Instructions and Information Write your name in the box at the top of the page. Answer all the questions in the spaces provided. The total mark for this paper is 100. The marks for each question are shown in brackets. Calculators must not be used. Questions labelled with an asterisk (*) are ones where the

quality of your written communication will be assessed.

Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.

Written by Shaun ArmstrongOnly to be copied for use in the purchaser's school or college

2012 EFA Paper 1 Page 1 Churchill Maths Limited Turn over

Name Class

MathematicsPaper 1A (Non-Calculator)

Foundation Tier

Time : 1 hour 45 minutes

For Edexcel GCSE

You must have:Ruler, protractor, compasses, pen, pencil, eraser.

Total Marks

bh

a

GCSE Mathematics

Formulae: Foundation Tier

You must not write on this formulae page.

Area of trapezium = 12 (a + b)h

Volume of prism = area of cross section length

2012 EFA Paper 1 Page 2 Churchill Maths Limited

sectioncross

length

Abraham

Carli

Busrah

Dabir

Elsa

Answer ALL questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

1 The pictogram shows how many books five children read over the summer.

Key: represents 2 books

(a) Who read the most books?(1)

(b) How many books did Carli read?(1)

(c) Who read 2 more books than Elsa?(1)

(d) Who read 50% more books than Carli?(1)

(Total for Question 1 is 4 marks)


2 (a) Write the number 40 300 in words.(1)

(b) Write the number six hundred and ten thousand, two hundred and five in figures.

(1)

(c) Work out

(i) 16 2 6(1)

(ii) 3 7 2(1)


3 (a) Write 0.75 as a fraction.(1)

(b) Write 30% as a decimal.(1)

(c) Work out 13 of 66.(1)

(d) What is 36 as a percentage of 300?(2)

%



4 (a) What is the weight of this stone?(1)

g

(b) What is the length of this pair of scissors in centimetres?(1)

cm

(c) Write your answer to part (b) in millimetres.(1)

mm



0 2010 30 40grams

0 21 3 4 5 76 8 9 10

cm

105

p

62q

5

Diagram NOTaccurately drawn

(a) (i) Work out the size of angle p.(1)

p =

(ii) Give a reason for your answer.(1)

(b) (i) Work out the size of angle q.(1)

q =

(ii) Give reasons for your answer.(1)



0.5 10

0.5 10

0.5 10

6 Here are 10 letters printed on plastic tiles.

The tiles are put into a bag and one is picked out at random.

(a) Use an arrow to show the probability that the letter B will be picked.(1)

(b) Use an arrow to show the probability that the letter C will not be picked.(1)

(c) Use an arrow to show the probability that a vowel will be picked.(1)

(d) Describe another event with the same probability as a vowel being picked.(1)



A

D

A

D

B

D

C

E

C

F

7 This conversion graph can be used to change between degrees fahrenheit (F) and degrees celsius (C).

(a) Use the graph to change 140 F into degrees celsius.(1)

C

(b) Use the graph to change 80 C into degrees fahrenheit.(1)

F

(c) Water freezes at 0 C.At what temperature does water freeze in degrees fahrenheit?

(1)

F



40 12080 160

C

20

0

40

20

60

80

F

8 This is Mick's bank statement showing all transactions for September.Some of the entries are missing.

Date Description Paid in Paid Out Balance

01 Sep Opening Balance 65.00

03 Sep Card Payment 73.00 8.00

05 Sep Credit 42.00 34.00

06 Sep Cashpoint 14.00

09 Sep Card Payment 9.00

14 Sep Cashpoint 30.00

17 Sep Cheque 23.00

22 Sep Direct Debit 12.50

26 Sep Credit 185.00

(a) Complete the missing entry for 06 Sep.(1)

(b) Complete the missing entries from the balance column.(2)

Mick is charged for each day that his account is overdrawn.He is overdrawn on the 3rd and 4th September.He is back in credit on the 5th September.

(c) On how many days is Mick overdrawn in total in this month?(2)

days



9 Tom owns 80 books.38 of his books are about sport.15 of his books are about computing.

The rest of his books are novels.

How many novels does Tom own?


10 Jack drives from Leeds to Edinburgh.He leaves Leeds at 1150 and arrives in Edinburgh at 1520.

The next day his car breaks down and he gets a train back to Leeds.The train departs at 1340 and arrives at 1635.

Work out the ratio

journey time by car : journey time by train

Give your answer in its simplest form.



AB

C

D

EH

F

G

I

11

Nine triangles are shown on a grid of squares.

(a) Which triangle is congruent to triangle D?(1)

(b) Which triangle is similar to triangle B?(1)

(c) Which triangle has the same area as triangle F?(1)



*12 Holly is carrying out a survey about healthy eating.

This is one of the questions.

Do you agree that everyone should eat 5 pieces of fruit a day?

Tick one box

YES NO

(a) Write down one reason why this is not a good question.(1)

This is another of the questions.

How many pieces of fruit did you eat yesterday?

Tick one box

1 to 2 3 to 4 4 or more

(b) Write down two criticisms of the response section for this question.(2)

First criticism .

Second criticism .



AB C

DE

13


In the diagram above, AB, BC, CD, DE, AE and CE are all the same length.

(a) What type of triangle is CDE?(1)

(b) What type of quadrilateral is ABCE?(1)

(c) What type of angle is angle ABC?(1)

(d) Work out the size of angle ABC.(2)

.



14 Lily collects 1p, 2p and 5p coins in a jar.

One day she finds she has 73 coins in the jar.Altogether the coins are worth 1.88

Given that she has twenty 5p coins, how many 2p coins does she have?


15 Use a ruler and pair of compasses to construct the bisector of this angle.Leave in your constuction lines.



16 A newsagent has a promotion on cycling magazines.

Buy one of these magazines ...

and get one of these for FREE

Roadzine (R)

Wheelz (W)

Saddler (S)

Cyclimit (C)

Bikestuff (B)

Gill wants to get two magazines for her son using the offer.

(a) Complete the table below to show all her choices.(2)

Gill chooses the magazine to buy and the one for free at random.

(b) What is the probability that she chooses Wheelz and Bikestuff ?(1)



Buy Free

R C

17

The diagram shows a prism.The cross-section of the prism is a regular hexagon.

(a) Sketch the front elevation of the prism from the direction shown.(2)

(b) Sketch the side elevation of the prism from the direction shown.(2)



FRONT

SIDE

18 (a) Complete this table of values for y = 3x 1

x 1 0 1 2y 4

(2)

(b) On the grid, draw the line y = 3x 1

(2)

(c) Here are the equations of three more lines.

y = 2x 1 y = 2 3x y = 3x 3

Tick the box under each equation of a line that is parallel to the line y = 3x 1

(1)



1

2

4

3

5

y

1 2 x1

4

2

3

1O

Number of Leaflets0 1000 30002000 4000 5000

Price ()

0

100

300

200

400

500

6000

19

The graph above shows the price of printing A4 colour leaflets.

(a) What is the price for 1000 leaflets?(1)

(b) A company spends 380 on leaflets.How many leaflets do they have printed?

(1)

*(c) Rhona is thinking of ordering 1500 leaflets.Angela says that for an extra 50%, Rhona could get 3 times as many leaflets.

Is Angela correct?You must show how you decided.

(3)



*20 Lanika needs a sheet of card that is at least 310 mm thick.

At home, she finds some card but she doesn't know how thick it is.Lanika finds that there are 45 sheets of card with a total thickness is 14 mm.

Is the card thick enough for Lanika to use?

Show how you decide.


21 The table shows the probability of a person being right-handed, left-handed or ambidextrous.

Right-handed Left-handed AmbidextrousProbability 0.88 3p p

Work out the value of p.

p =



22 Here are some patterns made with dots.

Pattern 1 Pattern 2 Pattern 3

Work out how many dots there will be in Pattern 50.

Show how you obtained your answer.


23 T = 5(n m)

(a) Find the value of T when m = 3 and n = 4.(2)

(b) Rearrange the formula to make n the subject.(2)



24


Mr. Tait wishes to have decking over the region of his garden shown above.

The cost will be 50 per square metre.

Work out the total cost.



8 m

6 m

3 m

2 m

25 Ghadah runs an online store.She bought 30 decorative mirrors for 15 each.

Ghadah sold 16 of the mirrors on her website for 25 each.She then reduced the price by 5 and sold 12 more mirrors.She sold the last two mirrors on an online auction site for 16.50 and 9.20

Work out how much profit Ghadah made on the mirrors.



26

Triangle A is shown on the grid.

(a) Reflect triangle A in the x-axis.

Label the image B.(2)

(b) Translate triangle A using the vector 61 .Label the image C.

(2)


TOTAL FOR PAPER IS 100 MARKS


1

2

4

3

5y

1 2 43 5 6 7 8 x6 5 34 2 1

5

4

2

3

1O

A

2012 edexcel foundation a paper 1

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