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

Build confidence comparing numbers in this 11 Plus Maths quiz. Learn how zero, negatives, and positives fit together on the number line.

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Fascinating Fact:

Zero is greater than any negative number but smaller than every positive number, it sits proudly in the middle of the number line.

In 11 Plus Maths, pupils learn to compare numbers by value, including negatives, decimals, and fractions. Understanding how numbers relate helps improve problem-solving skills.

  • Negative Number: Any value less than zero, often shown with a minus sign.
  • Positive Number: Any value greater than zero.
  • Number Line: A visual line used to show where numbers are positioned in relation to each other.
What is zero in maths?

Zero represents the point between positive and negative numbers. It shows the absence of value but is vital in place value and calculations.

How do you compare negative numbers?

The number closer to zero is always greater. For example, -2 is greater than -5 because it lies nearer to zero on the number line.

Why is understanding number order important?

It helps you solve equations, understand measurements, and make logical comparisons in real-life maths problems.

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
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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!