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Maths Quiz - Properties of Numbers 2 (Medium) (Questions)

This 11 Plus Maths quiz looks at the properties of numbers, focusing on special patterns like palindromes, square numbers, and multiples.

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Fascinating Fact:

A palindrome number reads the same backward and forward, like 121 or 1331, mathematical mirrors that never get confused.

In 11 Plus Maths, pupils study number patterns and properties such as primes, factors, and palindromes. Recognising these patterns builds logical thinking and helps in solving number puzzles quickly.

Key Terms

Palindrome: A number or word that reads the same forward and backward, such as 1441.
Square Number: The result of multiplying a number by itself, like 5 × 5 = 25.
Composite Number: A number that has more than two factors.

Learn more about 11 Plus sample questions in our guide for parents.

Frequently Asked Questions (Click to see answers)

What makes a number a palindrome?

A number is a palindrome if it reads the same from left to right and right to left, such as 101 or 1221. The digits appear in the same order both ways.

Are there palindrome numbers in every number range?

Yes, palindrome numbers appear in all number ranges, though they become less frequent as numbers get larger because their structure is more specific.

What is the largest two-digit palindrome number?

The largest two-digit palindrome is 99, which reads the same both ways and is also a multiple of 3 and 11.

Try These Related Quizzes

1.

Which of the following statements is wrong?

[ ]	If a number is divisible by 3, it is divisible by 6
[ ]	If a number is a multiple of 10, it is divisible by both 2 and 5
[ ]	If a number is divisible by 6, it is an even number
[ ]	If a number is divisible by 6, it is divisible by 2

2.

Which of the following statements is true?

[ ]	There are more positive numbers than negative numbers
[ ]	For every positive number there is a negative number
[ ]	The smallest negative even number is -2
[ ]	The smallest negative odd number is -1

3.

Which words do not describe the numbers 3, 6, 9 and 12?

[ ]	Factors of 36
[ ]	Whole numbers
[ ]	Square numbers
[ ]	Multiples of three

4.

What do you always get when you multiply a positive whole number and a negative whole number?

[ ]	Either a positive or negative number
[ ]	Either a positive number or negative number or zero
[ ]	A positive number
[ ]	A negative number

5.

How can an even number always be made into an odd number?

[ ]	Add an odd number to it
[ ]	Multiply it by 2
[ ]	Add an even number to it
[ ]	Divide it by 2

6.

If a number is divisible by 4, what must the final digit of the number be?

[ ]	4 or 8
[ ]	0, 2, 4, 6, or 8
[ ]	2, 4 or 8
[ ]	0, 1, 2, 4, 6, or 8

7.

If a number is divisible by 6, what must the final digit of the number be?

[ ]	4 or 8
[ ]	0, 2, 4, 6, or 8
[ ]	2, 4 or 8
[ ]	0, 1, 2, 4, 6, or 8

8.

Which of the following is not a square number?

[ ]	4
[ ]	9
[ ]	12
[ ]	16

9.

Which words do not describe the numbers 5, 10, 15 and 20?

[ ]	Multiples of 5
[ ]	Whole numbers
[ ]	Each number is 5 more than the previous number
[ ]	Even numbers

10.

What is a multiple of a number?

[ ]	A number that is divisible exactly by the first number
[ ]	An odd number
[ ]	The number you get when you multiply the first number by itself
[ ]	An even number

Maths Quiz - Properties of Numbers 2 (Medium) (Answers)

1.

Which of the following statements is wrong?

[x]	If a number is divisible by 3, it is divisible by 6
[ ]	If a number is a multiple of 10, it is divisible by both 2 and 5
[ ]	If a number is divisible by 6, it is an even number
[ ]	If a number is divisible by 6, it is divisible by 2

Not so, e.g. 3 × 3 = 9 BUT 9 is NOT divisible by 6. If you want to show that a statement is not always true, find one example that shows it is wrong - like we did here

2.

Which of the following statements is true?

[ ]	There are more positive numbers than negative numbers
[x]	For every positive number there is a negative number
[ ]	The smallest negative even number is -2
[ ]	The smallest negative odd number is -1

For every positive number there is a negative number. -1 is the HIGHEST negative odd number and -2 is the HIGHEST negative even number – negative numbers get lower and lower as you count backwards

3.

Which words do not describe the numbers 3, 6, 9 and 12?

[ ]	Factors of 36
[ ]	Whole numbers
[x]	Square numbers
[ ]	Multiples of three

They are all whole numbers, factors of 36 and multiples of 3. The only square number in the group is 9

4.

What do you always get when you multiply a positive whole number and a negative whole number?

[ ]	Either a positive or negative number
[ ]	Either a positive number or negative number or zero
[ ]	A positive number
[x]	A negative number

For example: 2 x -4 = -8 (a negative number); 9 x -7 = -63 (a negative number); 4 x -5 = -200 (a negative number)

5.

How can an even number always be made into an odd number?

[x]	Add an odd number to it
[ ]	Multiply it by 2
[ ]	Add an even number to it
[ ]	Divide it by 2

Adding an even number or multiplying by 2 will result in an even number. Dividing by 2 could produce an odd number, an even number or a fraction. Adding an odd number to an even number always results in an odd number

6.

If a number is divisible by 4, what must the final digit of the number be?

[ ]	4 or 8
[x]	0, 2, 4, 6, or 8
[ ]	2, 4 or 8
[ ]	0, 1, 2, 4, 6, or 8

Knowing your 4 times table will give you the answer to this one

7.

If a number is divisible by 6, what must the final digit of the number be?

[ ]	4 or 8
[x]	0, 2, 4, 6, or 8
[ ]	2, 4 or 8
[ ]	0, 1, 2, 4, 6, or 8

Knowing your 6 times table will give you the answer to this one

8.

Which of the following is not a square number?

[ ]	4
[ ]	9
[x]	12
[ ]	16

A square number is formed by multiplying another number with itself : 4 = 2 × 2; 9 = 3 × 3; 16 = 4 × 4. Note: 1 × 1 = 1

9.

Which words do not describe the numbers 5, 10, 15 and 20?

[ ]	Multiples of 5
[ ]	Whole numbers
[ ]	Each number is 5 more than the previous number
[x]	Even numbers

They are all whole numbers, and multiples of 5. Also, each number is five more than the previous number but 5 and 15 are not even

10.

What is a multiple of a number?

[x]	A number that is divisible exactly by the first number
[ ]	An odd number
[ ]	The number you get when you multiply the first number by itself
[ ]	An even number

If a number is a multiple of another number, then it is divisible by the other number exactly a certain number of times, e.g. 3 goes into 18 exactly 6 times because 3 × 6 = 18