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AQA GCSE Maths

Topic questions Number Place value and ordering numbers

Place value and ordering numbers

65 questions · 118 marks · about 2 hours

Place value and ordering numbers questions

TopicPlace value and ordering numbers

AQA 8300 Place value and ordering numbers 65 questions

Paper 3: Calculator November 2024 Foundation tier, Question 4 4 marks

(a)

Write these numbers in order of size. Start with the smallest number.

2 1.8 – 1 0

[2]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Write these numbers in order of size. Start with the smallest number.

Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(b)

Paper 1: Non-calculator June 2024 Foundation tier, Question 4 4 marks

(a)

Here is a list of four numbers.

6.92 7.27 7.18 7.14

Use one number from the list to complete each statement.

Question 4, shown as an image
Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Here is a list of six numbers.

– 10 – 5 – 2 4 6 10

Use two numbers from the list to complete each statement.

Question 4, shown as an image
Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(b)

Paper 1: Non-calculator June 2024 Foundation tier, Question 12 2 marks

Two bags, X and Y, each contain coloured discs. In bag X, fraction of the discs are red.

In bag Y, fraction of the discs are red.

Which bag has the greater proportion of red discs, X or Y? You must show your working.

[2]
Reveal mark scheme Mark scheme for question 12

Paper 3: Calculator June 2024 Foundation tier, Question 2 2 marks

Here are four temperatures in degrees C

Figure for question 2

Write the temperatures in order, starting with the coldest.

[2]
Reveal mark scheme Mark scheme for question 2

Paper 1: Non-calculator November 2023 Foundation tier, Question 4 2 marks

(a)

Here is a number line.

Figure for question 4

Which number is at A?

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Here is another number line.

Figure for question 4

Which number is at B?

[1]
Reveal mark scheme Mark scheme for question 4(b)

Paper 2: Calculator June 2023 Foundation tier, Question 1 2 marks

(a)

Here is a number line.

What number is at X?

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Here is a different number line.

What number is at Y?

[1]
Reveal mark scheme Mark scheme for question 1(b)

Paper 3: Calculator June 2023 Foundation tier, Question 12 4 marks

(a)

c maths symbol 4 d maths symbol 4 c – d = 6 Work out a possible pair of values for c and d.

Question 12, shown as an image
[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

w is greater than 1 and less than 2 x is greater than 0 and less than 1

Figure for question 12

Work out a possible pair of values for w and x.

Question 12, shown as an image
[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 1: Non-calculator June 2022 Higher tier, Question 19 3 marks

Also involves Sequences

The first three terms of a sequence are x y xy The sequence is continued by multiplying the previous two terms.

(a)

Circle the 5th term of the sequence.

Question 19, shown as an image
[1]
Reveal mark scheme Mark scheme for question 19(a)
(b)

The 8th term of the sequence is x8y13 The value of this term is negative. What does this mean about the values of x and y ? Tick one box for each row.

Figure for question 19
[2]
Reveal mark scheme Mark scheme for question 19(b)

Paper 2: Calculator June 2022 Foundation tier, Question 1 1 mark

Here is a number line.

Figure for question 1

Which number is at A? Circle your answer.

1.2 1.4 1.5 1.8

[1]
Reveal mark scheme Mark scheme for question 1

Paper 2: Calculator June 2022 Foundation tier, Question 17 4 marks

(a)

x is at least 7 Circle the correct inequality.

Question 17, shown as an image
[1]
Reveal mark scheme Mark scheme for question 17(a)
(b)

Multiply out 5 c (2 d + 1)

[2]
Reveal mark scheme Mark scheme for question 17(b)
(c)

Factorise 21 x + 28

[1]
Reveal mark scheme Mark scheme for question 17(c)

Paper 2: Calculator November 2021 Foundation tier, Question 28, also on the Higher paper 4 marks

p is a positive number. n is a negative number. For each statement, tick the correct box.

Figure for question 28
[4]
Reveal mark scheme Mark scheme for question 28

Paper 2: Calculator November 2021 Higher tier, Question 10, also on the Foundation paper 4 marks

p is a positive number. n is a negative number. For each statement, tick the correct box.

Figure for question 10
[4]
Reveal mark scheme Mark scheme for question 10

Paper 3: Calculator November 2021 Foundation tier, Question 7 3 marks

Point A is 217 metres above sea level. Point B is 145 metres lower than point A. Point C is 59 metres below sea level. How much higher is point B than point C?

Figure for question 7
[3]
Reveal mark scheme Mark scheme for question 7

Paper 3: Calculator November 2021 Foundation tier, Question 20 2 marks

The n th term of a sequence is 19 – 4 n What is the smallest value of n that gives a negative term?

[2]
Reveal mark scheme Mark scheme for question 20

Paper 2: Calculator November 2020 Foundation tier, Question 20 3 marks

(a)

a and b are whole numbers.

Work out the largest possible value of 2 a + b

[2]
Reveal mark scheme Mark scheme for question 20(a)
(b)

x and y are both negative numbers. Show that fraction could equal 4

[1]
Reveal mark scheme Mark scheme for question 20(b)

Paper 1: Non-calculator November 2019 Foundation tier, Question 10 3 marks

Here are three calculations, A, B and C. A B C 100 × 20 000 1 million ÷ 2 4 × 100 000 Put the calculations in order. Start with the calculation that has the smallest answer. You must show the answer to each calculation.

[3]
Reveal mark scheme Mark scheme for question 10

Paper 3: Calculator November 2019 Foundation tier, Question 7 4 marks

Choose one of the following to make a correct statement each time.

is less than is equal to is greater than

When a = 3 4 a a + 7

When b = 8 2 b – 6 18 – b

When c = 0.5 3 c c + 1 When d = –1 d d2

[4]
Reveal mark scheme Mark scheme for question 7

Paper 2: Calculator June 2019 Foundation tier, Question 3 1 mark

Here is a number line.

A 3 4 Which number is at A? Circle your answer.

3.3 3.55 3.6 3.8

[1]
Reveal mark scheme Mark scheme for question 3

Paper 1: Non-calculator June 2018 Foundation tier, Question 32, also on the Higher paper 2 marks

Put these numbers in order from smallest to largest.

Question 32, shown as an image
[2]
Reveal mark scheme Mark scheme for question 32

Paper 1: Non-calculator June 2018 Higher tier, Question 12, also on the Foundation paper 2 marks

Put these numbers in order from smallest to largest.

Question 12, shown as an image
[2]
Reveal mark scheme Mark scheme for question 12

Paper 3: Calculator June 2018 Higher tier, Question 2 1 mark

Circle the list of all the integers that satisfy –2 maths symbol x maths symbol 4

–2, –1, 0, 1, 2, 3 –1, 0, 1, 2, 3

–2, –1, 0, 1, 2, 3, 4 –1, 0, 1, 2, 3, 4

[1]
Reveal mark scheme Mark scheme for question 2

Paper 2: Calculator June 2017 Foundation tier, Question 27, also on the Higher paper 2 marks

Write these numbers in descending order.

Question 27, shown as an image
[2]
Reveal mark scheme Mark scheme for question 27

Paper 2: Calculator June 2017 Higher tier, Question 11, also on the Foundation paper 2 marks

Write these numbers in descending order.

Question 11, shown as an image
[2]
Reveal mark scheme Mark scheme for question 11

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