Welcome to the third quiz in our Medium series of Eleven Plus maths quizzes on Compare and Order numbers. When we compare and order numbers, we check their values and arrange them accordingly. For example, we may be asked to sort them in ascending or descending order. What does that mean? Here’s a reminder:

- Ascending (getting larger): smallest number to largest number
- Descending (getting smaller): largest number to smallest number

But that’s not all there is to it! You’ll need to know a few symbols too:

- > Means ‘greater than’
- < means ‘less than’
- ≥ means ‘greater than or equal to’
- ≤ means ‘less than or equal to’

Okay then, are you feeling confident? It’s time to test yourself in the quiz. Good luck!

1.

Which one of the expressions below is correct?

13 ≤ 10 ≤ 9

7 ≤ 7 ≤ 6

12 ≤ 15 ≤ 15

6 ≤ 8 ≤ 7

12 is less than 15 which is less than or equal to 15. The numbers MUST be in the correct order of size (magnitude) for this to work

2.

Which one of the following is not correct?

7 ≥ 7 < 13

13 ≥ 7 < 7

13 ≥ 7 < 13

13 ≥ 13 > 7

Of course, 7 is equal to 7, not less than!

3.

What is the largest number that can be formed using the digits 0, 7, 4, 8, 6?

76,480

40,678

80,746

87,640

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

4.

If a sunflower is > 1 m and ≤ 2 m tall, what are its shortest and greatest possible heights (in metres, to 2 decimal places)?

The shortest height = 1.00 m, the greatest height = 2.00 m

The shortest height = 1.01 m, the greatest height = 2.00 m

The shortest height = 1.10 m, the greatest height = 2.00 m

The shortest height = 1.01 m, the greatest height = 1.99 m

The shortest height must be over 1 m, the greatest height can be anything up to 2 m: this is what ≤ 2 means.

5.

Which number lies mid-way between 48 and 902?

475

500

525

550

Here's how you solve problems like this: add both numbers together THEN divide by two:

(48 + 902) = 950. So, 950 ÷ 2 = 475

(48 + 902) = 950. So, 950 ÷ 2 = 475

6.

Which one of the following expressions is not correct?

2 ≥ 4

2 ≥ 2

2 ≥ 0

2 ≥ -2

2 is less than 4, not greater than or equal to it

7.

Which one of the numbers below is < -98?

2

-97

0

-99

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 -99 < -98 because it is more to the left than -98

8.

Jane scored > 52% in her maths test. Brian scored ≥ 52% in his maths test. Which one of the statements below is definitely true?

Jane’s score is higher than Brian’s

Jane’s score might be higher or lower than Brian’s

Brian’s score is higher than Jane’s

Jane and Brian got the same score

Jane’s score could be anything from 53% to 100%. Brian’s score could be anything from 52% to 100%. We don’t know who got the highest score

9.

Which one of the following is not correct?

17 > 12 < 14 ≥ 5

12 > 5 < 14 ≥ 14

17 > 12 < 14 ≥ 14

12 > 17 < 14 ≥ 14

I hope you have the hang of these symbols now!

10.

What is the smallest number that can be formed using the digits 1, 9, 4, 3, 7?

97,431

31,497

13,479

14,793