maths based questions, Cheat Sheet of Mathematics

all the maths questions put together

Typology: Cheat Sheet

2024/2025

Uploaded on 02/02/2025

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*Jun2083001F01*
IB/M/Jun20/E 8
8300/1F
For Examiner’s Use
Pages
Mark
2–3
4–5
6–7
8–9
10–11
12–13
14–15
16–17
18–19
20–21
22–23
24–25
TOTAL
Tuesday 19 May 2020 Morning Time allowed: 1 hour 30 minutes
Materials
For this paper you must have:
mathematical instruments.
You must not use a calculator.
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 1 Non-Calculator
Please write clearly in block capitals.
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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Jun2083001F01

IB/M/Jun20/E8 8300/1F

For Examiner’s Use

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

TOTAL

Tuesday 19 May 2020 Morning Time allowed: 1 hour 30 minutes

Materials

For this paper you must have:

  • mathematical instruments.

You must not use a calculator.

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 1 Non-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 Here are some numbers.

Circle the range.

[1 mark]

2 Circle the value of the digit 5 in 256 934 [1 mark]

3 Work out – 2 – 5

Circle your answer. [1 mark]

  • 7 – 3 3 7

Do not write outside the 6 (a) Samir and Dan run a race. box

Samir finishes in 2 2

minutes.

Dan finishes in 130 seconds.

Complete the following sentence. [2 marks]

wins by seconds.

6 (b) Alice does a sponsored walk.

She starts from home on Monday at 8 am

She arrives back home 55 hours later.

Work out when she arrives back home. [2 marks]

Day

Time

Turn over ►

Do not write outside the 7 box

Work out (43 × 8) – (234 ÷ 6)

[3 marks]

Answer

Turn over for the next question

Turn over ►

Do not write outside the 8 (c) A bar chart is drawn to show the number of people visiting the cinema one month. box

Ticket type Number of people

Adults 1600

Students 3000

Children 1800

Give one criticism of the bar chart. [1 mark]

Do not write outside the 9 Harry will pay income tax if he earns more than £12 500 in a year. box

After 8 months he has earned a total of £

For the rest of the year he earns £1200 each month.

Will he pay income tax? You must show your working. [3 marks]

10 x is a 2-digit whole number.

How many digits does the number 10 x have?

Circle your answer. [1 mark]

cannot tell 2 3 4

Do not write outside the

12 The Venn diagram shows information about 50 people who are in bands. box

S = singers G = guitar players

12 (a) How many of the people are guitar players? [1 mark]

Answer

12 (b) (^) How many of the people are singers but not guitar players?

[1 mark]

Answer

12 (c) One of the people is chosen at random.

Write down the probability that the person is not a singer

and

not a guitar player. [1 mark]

Answer

Turn over ►

Do not write outside the

13 Here is a parallelogram. box

The parallelogram is translated 4 squares to the left and 3 squares up.

Draw the translated parallelogram. [2 marks]

Turn over ►

Do not write outside the

15 A pyramid has a square base. box

Each of the four sloping edges has length 10 cm

The total length of all eight edges is 68 cm

Work out the area of the square base. [4 marks]

Answer cm 2

Do not write outside the

16 The table shows information about how 150 students travel to school. box

Walk Bus Car

Girls 22 33 17 Total = 72

Boys 24 41 13 Total = 78

16 (a) What fraction of the girls walk to school?

Give your answer in its simplest form. [2 marks]

Answer

16 (b) One of the boys is chosen at random.

What is the probability that the boy travels to school by bus? [1 mark]

Answer

Do not write outside the 18 (a) Work out 110% of 80 box [2 marks]

Answer

18 (b) Work out 21 as a fraction of 12

Circle your answer. [1 mark]

Turn over ►

Do not write outside the

19 Bags X and Y each contain counters. box

19 (a) P(green counter from X) = P(red counter from Y)

Work out the number of green counters in X. [2 marks]

Answer

19 (b) All 35 counters are put into one bag.

One counter is picked at random.

Work out the probability that the counter is not red. [2 marks]

Answer

Bag Y

5 counters 3 green and 2 red

Bag X

30 counters Each counter is green, white or yellow

Turn over ►

Do not write outside the box 21 (a) All the terms of a^ geometric^ progression are positive.

The second and fourth terms are shown.

Work out the first and third terms. [2 marks]

First term

Third term

21 (b) The first two terms of an arithmetic progression are shown.

p 5 p …..

The sum of the first three terms is 90

Work out the value of p.

[3 marks]

Answer

Do not write outside the box

22 This formula converts temperature in degrees Fahrenheit ( F ) to kelvin ( K )

A pottery oven is heated to 2192 degrees Fahrenheit.

Work out this temperature in kelvin.

[3 marks]

Answer kelvin

23 As a decimal 40

Work out

as a decimal.

[2 marks]

Answer

K =

( F – 32) + 273