11-Plus Maths Quiz - Compare and Order Numbers 3 (Medium) (Questions)

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:

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

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

1. Which number lies mid-way between 48 and 902?
[ ] 475
[ ] 500
[ ] 525
[ ] 550
2. 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
3. Which one of the expressions below is correct?
[ ] 13 ≤ 10 ≤ 9
[ ] 7 ≤ 7 ≤ 6
[ ] 12 ≤ 15 ≤ 15
[ ] 6 ≤ 8 ≤ 7
4. Which one of the numbers below is < -98?
[ ] 2
[ ] -97
[ ] 0
[ ] -99
5. Which one of the following expressions is not correct?
[ ] 2 ≥ 4
[ ] 2 ≥ 2
[ ] 2 ≥ 0
[ ] 2 ≥ -2
6. 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
7. 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
8. 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
9. Which one of the following is not correct?
[ ] 7 ≥ 7 < 13
[ ] 13 ≥ 7 < 7
[ ] 13 ≥ 7 < 13
[ ] 13 ≥ 13 > 7
10. Which one of the following is not correct?
[ ] 17 > 12 < 14 ≥ 5
[ ] 12 > 5 < 14 ≥ 14
[ ] 17 > 12 < 14 ≥ 14
[ ] 12 > 17 < 14 ≥ 14
11-Plus Maths Quiz - Compare and Order Numbers 3 (Medium) (Answers)
1. Which number lies mid-way between 48 and 902?
[x] 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
2. 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
[x] 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
3. Which one of the expressions below is correct?
[ ] 13 ≤ 10 ≤ 9
[ ] 7 ≤ 7 ≤ 6
[x] 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
4. Which one of the numbers below is < -98?
[ ] 2
[ ] -97
[ ] 0
[x] -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
5. Which one of the following expressions is not correct?
[x] 2 ≥ 4
[ ] 2 ≥ 2
[ ] 2 ≥ 0
[ ] 2 ≥ -2
2 is less than 4, not greater than or equal to it
6. 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
[x] 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.
7. What is the smallest number that can be formed using the digits 1, 9, 4, 3, 7?
[ ] 97,431
[ ] 31,497
[x] 13,479
[ ] 14,793
Write the digits in descending order to find the BIGGEST number. Write the digits in ascending order to find the SMALLEST number
8. What is the largest number that can be formed using the digits 0, 7, 4, 8, 6?
[ ] 76,480
[ ] 40,678
[ ] 80,746
[x] 87,640
Write the digits in descending order to find the BIGGEST number. Write the digits in ascending order to find the SMALLEST number
9. Which one of the following is not correct?
[ ] 7 ≥ 7 < 13
[x] 13 ≥ 7 < 7
[ ] 13 ≥ 7 < 13
[ ] 13 ≥ 13 > 7
Of course, 7 is equal to 7, not less than!
10. Which one of the following is not correct?
[ ] 17 > 12 < 14 ≥ 5
[ ] 12 > 5 < 14 ≥ 14
[ ] 17 > 12 < 14 ≥ 14
[x] 12 > 17 < 14 ≥ 14
I hope you have the hang of these symbols now!