**To compare and order numbers, you'll need to know what size they are.**

If you have played our first set of quizzes on *Compare and Order Numbers* (the easy ones!), make sure you get full marks before playing this second set of 11-plus Maths quizzes on comparing numbers. See how you do on this one!

Not only will you be learning new words (or terms) relating to maths, there are also mathematical symbols that you will need to be familiar with. Ensure that you fully understand the terminology in this quiz as it will really help in your Maths lessons at school.

Remember to read the questions carefully and look at all four options before making your choice. Above all, have fun!

1.

If the length of a piece of rope is ≤ 3 m, what are the shortest and longest lengths of the rope?

The shortest length cannot be known but the longest length = 3 m

The shortest length = 1 m and longest length = 3 m

The shortest length = 2 m and longest length = 3 m

The shortest length = 3 m and longest length = 3 m

The shortest length cannot be known, but the longest length can be up to 3 m: this is what ≤ 3 means. Practically speaking, it is hardly likely to be 0 m because that would mean there is no rope. It couldn't have a negative length either!

2.

Which one of the expressions below is correct?

4 ≥ 5 ≥ 3

8 ≥ 5 ≥ 3

8 ≥ 6 ≥ 7

8 ≥ 7 ≥ 9

8 comes after 5 which comes after 3: the numbers MUST be in the correct order of size (magnitude) for this to work. In the fourth choice, 8 ≥ 7 BUT 7 IS NOT ≥ 9

3.

The symbol ≤ means 'less than or equal to'. For example, 1 ≤ 2 means that 1 is smaller than 2 OR equal to 2. In this case 1 is smaller than 2. Knowing what the symbol ≤ means, which one of the following is not correct?

6 ≤ 6

-6 ≤ 6

0 ≤ 6

6 ≤ 5

6 comes after 5 on the number line, so 5 ≤ 6

4.

The symbol ≥ means 'greater than or equal to'. For example, 2 ≥ 1 means that 2 is bigger than 1 OR equal to 1. In this case 2 is bigger than 1. Knowing what the symbol ≥ means, which one of the following is not correct?

3 ≥ 3

3 ≥ 0

3 ≥ -3

3 ≥ 4

4 comes after 3 on the number line, so 4 ≥ 3

5.

Which one of the expressions below is correct?

2 ≤ 4 ≤ 3

2 ≤ 4 ≤ 6

2 ≤ 1 ≤ 6

5 ≤ 4 ≤ 6

2 comes before 4 which comes before 6: the numbers MUST be in the correct order of size (magnitude) for this to work. In the first choice, 2 ≤ 4 BUT 4 IS NOT ≤ 3

6.

Which one of the numbers below is < -25?

-26

-24

0

25

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 -26 < -25 because it is more to the left than -25

7.

Which number lies mid-way between 1,260 and 2,840?

1,800

2,500

2,005

2,050

Here's how you solve problems like this: add both numbers together THEN divide by two: (1,260 + 2,840) = 4,100. So, 4,100 ÷ 2 = 2,050

8.

The symbol > means 'greater than'. For example, 2 > 1 means that 2 is bigger than 1. The symbol < means 'less than'. For example, 3 < 4 means that 3 is smaller than 4. Knowing what the symbols > and < mean, which one of the following is not correct?

0 > -1

-5 < 5

7 < 7

4 > -4

For this to be true, you would have to write: 7 ≥ 7 seven is greater than 7 or seven equals seven OR 7 ≤ 7 seven is less than 7 or seven equals seven. The > and < symbols DO NOT allow you to put the numbers equal to each other - DON'T forget this

9.

The area of farmer Giles's farm > 100 acres. The area of farmer Jones's farm ≥ 100 acres. Which one of the statements below is correct for sure?

Farmer Jones's farm could be the smallest

The farms are the same size

Farmer Giles's farm is the biggest

Farmer Jones's farm is the biggest

Farmer Jones's farm could be any size from 100 acres upwards. Farmer Giles's farm could be any size bigger than 100 acres - so farmer Jones' farm could be the smallest if it is exactly 100 acres large: the ≥ symbol allows this possibility BUT the > symbol does not

10.

What is the biggest number that can be formed using the digits 2, 3, 4, 5?

5,342

5,234

5,432

5,324

Write the digits in descending order to find the BIGGEST number. Write the digits in ascending order to find the SMALLEST number