Unit 7 Section 1 : Multiples

A multiple of a number is what you get when you multiply that number by some other whole number.

e.g. Multiplying 3 by 5 gives 15 so 15 is a multiple of 3

Below is a sequence of numbers. The numbers are the first few multiples of the number 3.

3, 6, 9, 12, 15, 18, ...

Note that 3 is also a multiple of itself.

Example Question

Below is a number square where the multiples of a particular number have been shaded.
Practice Questions
Work out the answer to each of these questions then click on the button marked Click on this button below to see the correct answer to see whether you are correct. You can use the number square to help you for some of the questions.

(a) What number are all the shaded numbers a multiple of?

(b) What is the fifth multiple of this number?

(d) What is the 12th multiple of this number?

(c) What position is 36 in the multiples of this number?

(e) What position is 96 in the multiples of this number?

(f) What is the 100th multiple of this number?

 

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the Click this button to see if you are correct button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on Click on this button to see the correct answer to see the answer.

IMPORTANT: When a question asks for a list of numbers, you must separate them by commas, like this: You must type commas between the numbers in lists

Question 1
The multiples of 11 have been shaded in on this number square.
(a) What is the 3rd multiple of 11?

(b) What is the 9th multiple of 11?

(c) What is the 200th multiple of 11?

(d) What position is 66 in the multiples of this number?
th

(e) What position is 330 in the multiples of this number?
th

Question 2
Answer these questions about the multiples of 6 and 8.

(a) What are the first 8 multiples of 8? (remember to put commas between the numbers)

(b) What are the first 8 multiples of 6?

(c) What is the smallest number that is a multiple of both 6 and 8?

(d) What are the next two numbers that are multiples of both 6 and 8?

Question 3
Answer these questions about multiples of 12.

(a) What are the first 6 multiples of 12?

(b)What is the 10th multiple of 12?

(c) What is the 100th multiple of 12?

(d) What is the 500th multiple of 12?

(e) If 48 is the nth multiple of 12, what is n?

(f) If 96 is the nth multiple of 12, what is n?

Question 4
Look at the number square below and answer the questions.
(a) The shaded numbers are multiples of what number?

(b) What is the first multiple not shown in the square?

Question 5
The number 24 is a multiple of 2 and a multiple of 3.

What other numbers is 24 a multiple of?

Question 6
Two multiples of a particular number have been shaded on the number square below.
The number is not 1.
What could the number be?

Question 7
65 and 91 are two multiples of a particular number. The number is not 1.

(a) What is the number?

(b) What is the 19th multiple of this number?

Question 8
Three multiples of a number are 34, 170 and 255. What is the number?


Question 9
Three multiples of a number are 38, 95 and 133. What is the number?


Question 10
Four multiples of a number are 49, 77, 133 and 203. What is the number?



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Produced by A.J.Reynolds January 2001