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Can you put all these numbers in the right order?

Compare and Order Numbers 2 (Medium)

See how well you can compare and order numbers in this 11 Plus Maths quiz. Explore larger values, spot patterns, and boost your understanding of place value.

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Fascinating Fact:

If Earth’s diameter is 12742 kilometres and the Moon’s is 3474 kilometres, Earth is greater by 9268 kilometres which is a lot more room for homework.

In 11 Plus Maths, comparing and ordering numbers builds key number sense skills. Pupils learn how to work with large values, decimals, and units to solve everyday maths problems.

  • Compare: To decide which number is larger or smaller by looking at their values.
  • Order: To arrange numbers in sequence from smallest to largest or largest to smallest.
  • Value: The numerical worth of a digit depending on where it appears in a number.
How do you compare numbers with different digits?

Look at how many digits each number has. The number with more digits is larger. If they have the same number, compare each digit from left to right.

What does ordering numbers mean?

Ordering numbers means arranging them in ascending order (smallest to largest) or descending order (largest to smallest).

Why is comparing and ordering numbers important?

These skills help with problem-solving, estimating, and understanding quantities, making it easier to handle real-life maths situations.

1 .
If a piece of wire is > 2 m and ≤ 7 m, what are the shortest and longest possible lengths of the wire, in whole metres?
The shortest length = 2 m and longest length = 7 m
The shortest length = 3 m and longest length = 6 m
The shortest length = 3 m and longest length = 7 m
The shortest length = 2 m and longest length = 6 m
The shortest length is more than 2 m, but the longest length can be up to 7 m. This is what ? 7 means: less than OR equal to 7.
2 .
Which one of the following expressions is not correct?
17 ≥ 17
17 ≥ 20
17 ≥ 0
17 ≥ -17
20 is greater than 17.
3 .
What is the smallest number that can be formed using the digits 4, 6, 8, 9?
4,689
4,869
4,698
4,986
Write the digits in descending order to find the BIGGEST number. Write the digits in ascending order to find the SMALLEST number
4 .
Which one of the numbers below is < -324?
-323
-325
-324
0
As you move from zero to the left along the number line, the values of the numbers are negative and they get less and less: so -325 < -324 because it is more to the left
5 .
Which one of the expressions below is correct?
3 ≤ 9 ≤ 6
9 ≤ 6 ≤ 3
3 ≤ 6 ≤ 9
9 ≤ 3 ≤ 6
3 is less than 6 which is less than 9. The numbers MUST be in the correct order of size (magnitude) for this to work. In the first choice, 3 ? 9 BUT 9 IS NOT ? 6
6 .
Which one of the following expressions is not correct?
6 ≤ 6
-6 ≤ 6
0 ≤ 6
6 ≤ 0
Of course, 6 is greater than 0, not less than!
7 .
Which one of the expressions below is correct?
16 ≥ 16 ≥ 20
10 ≥ 16 ≥ 10
10 ≥ 10 ≥ 16
16 ≥ 10 ≥ 10
16 is greater than 10 which is equal to 10. The numbers MUST be in the correct order of size (magnitude) for this to work. In the first choice, 16 ? 16 BUT 16 IS NOT ? 20
8 .
Which number lies mid-way between 1,973 and 3,845?
2,894
2,909
2,944
2,974
Here's how you solve problems like this: add both numbers together THEN divide by two: (1,973 + 3,845) = 5,818. So, 5,818 ÷ 2 = 2,909
9 .
Which one of the following expressions is not correct?
17 < 17
17 > -17
-17 < 17
17 > 0
17 is equal to 17, not less than. The correct symbol would be ?, because 17 ? 17. The > and < symbols DO NOT include 'equal to' - DON'T forget this
10 .
Stephen is > 140 cm tall. Angela is ≥ 140 cm tall. Which one of the statements below is definitely true?
Angela and Stephen are the same size
Stephen is taller than Angela
Angela might be shorter than Stephen
Angela is taller than Stephen
Angela could be any height from 140 cm upwards. Stephen could be any size taller than 140 cm - so Stephen could be the smallest (e.g. Stephen is 144 cm and Angela is 150 cm). The ? symbol allows this possibility BUT the > symbol does not
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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