maths foundation tier, Study notes of Mathematics

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2023/2024

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*Jun2183002F01*
IB/M/Jun21/E9
8300/2F
For Examiner’s Use
Pages
Mark
2–3
4–5
6–7
8–9
1011
1213
1415
1617
1819
2021
2223
2425
TOTAL
Time allowed: 1 hour 30 minutes
Materials
For this paper you must have:
a calculator
mathematical instruments.
Instructions
Use black ink or black ball-point pen. Draw diagrams in pencil.
Fill in the boxes at the top of this page.
Answer all questions.
You must answer the questions in the spaces provided. Do not write
outside the box around each page or on blank pages.
If you need extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s).
Do all rough work in this book. Cross through any work you do not want to
be marked.
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 80.
You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer book.
Advice
In all calculations, show clearly how you work out your answer.
GCSE
MATHEMATICS
Foundation Tier Paper 2 Calculator
Please write clearly in block capitals.
Centre number
Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
F
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e

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Jun2183002F01

IB/M/Jun21/E9 8300/2F

For Examiner’s Use

Pages Mark 2– 4– 6– 8– 10– 12– 14– 16– 18– 20– 22– 24–

TOTAL

Time allowed: 1 hour 30 minutes

Materials

For this paper you must have:

  • a calculator
  • mathematical instruments.

Instructions

  • Use black ink or black ball-point pen. Draw diagrams in pencil.
  • Fill in the boxes at the top of this page.
  • Answer all questions.
  • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages.
  • If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s).
  • Do all rough work in this book. Cross through any work you do not want to be marked.

Information

  • The marks for questions are shown in brackets.
  • The maximum mark for this paper is 80.
  • You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book.

Advice

In all calculations, show clearly how you work out your answer.

GCSE

MATHEMATICS

Foundation Tier Paper 2 Calculator

Please write clearly in block capitals.

Centre number Candidate number

Surname

Forename(s)

Candidate signature I declare this is my own work.

F

Do not write outside the Answer all questions in the spaces provided. box

(^1) Circle the factor of 32

[1 mark]

2 y is 3 more than x.

Circle the correct equation. [1 mark]

y = 3 x y = x + 3 y = x – 3 y =

x

(^3) Circle the value of 0.15 as a fraction. [1 mark]

Do not write outside the box 6 16 people were asked to name their favourite fruit juice.

Here are the results.

Favourite juice Frequency

Apple 6

Grapefruit 1

Orange 4

Mango 5

6 (a) One of the people was picked at random.

Work out the probability that their favourite juice was orange or mango. [1 mark]

Answer

6 (b) On the grid, draw a bar chart to represent the results. [3 marks]

Turn over ►

Do not write outside the box 7 6 cakes cost £10.

Work out the cost of 11 of these cakes. [2 marks]

Answer £

8 Here is a cuboid.

Work out the volume. [1 mark]

Answer cm^3

Turn over ►

Do not write outside the box 11 Annie spends these amounts in four shops using £20 notes, £10 notes and £5 notes.

Shop A £

Shop B £

Shop C £

Shop D £

In each shop she pays the exact amount

uses the smallest possible number of notes.

Work out the total number of each note she uses. [3 marks]

Number of £20 notes

Number of £10 notes

Number of £5 notes

Do not write outside the box (^12) A sports team played 40 games.

Half were home games and half were away games.

Each game was a win, a draw or a loss.

Of the home games, 5

were losses.

Of the away games, 10

were wins.

12 (a) Complete the frequency tree.

[4 marks]

Do not write outside the box

14 Some buttons are red or blue in the ratio red : blue = 3 : 5

What fraction of the buttons are red? Circle your answer. [1 mark]

15 Which of these is a correct statement about a cube?

Tick one box. [1 mark]

It has 12 edges.

It has 12 faces.

It has 12 planes.

It has 12 vertices.

Turn over ►

Do not write outside the box 16 AB is parallel to CD.

FG is a straight line.

Work out the size of angle x.

[3 marks]

Answer degrees

Not drawn accurately

Turn over ►

Do not write outside the box

18 Solve 10 x – 3 = 21

[2 marks]

x =

19 Work out which of these fractions is closer in value to 0.

You must show your working. [2 marks]

Answer

Do not write outside the box 20 (a) Point B is 400 metres north east of point A.

Mark point B on the centimetre grid.

Use a scale of 1 centimetre represents 100 metres. [2 marks]

Do not write outside the box 21 Lynn works as a bus driver.

She is paid £10.80 per hour for the first 38 hours she works each week.

She is paid 25% more per hour for each extra hour she works.

One week, Lynn was paid £491.

In total, how many hours did she work that week?

You must show your working. [5 marks]

Answer hours

Turn over ►

Do not write outside the box

22 The square root of x is 4

Circle the value of x^2

[1 mark]

23 Here is a rule for a sequence.

The first five terms are p 23 q 57 r

Work out the values of p , q and r.

[2 marks]

p =

q =

r =

After the first two terms, each term is the sum of the previous two terms.

Turn over ►

Do not write outside the box 24 (b) The actual length AB is greater than the answer to part (a).

What does this mean about angle ACB?

Tick one box. [1 mark]

It is 90 °

It is less than 90 °

It is more than 90 °

It could be any of the above.

25 Rearrange g = 3 h – 1 to make h the subject.

[2 marks]

Answer

Do not write outside the box 26

Describe fully the single transformation that maps triangle ABC to triangle ADE. [3 marks]