Types of Number, Prime Factors, HCF & LCM (Edexcel GCSE Maths: Foundation)

Write down a prime number that is also a factor of 56.

Aziz chooses a prime number and a square number.

He adds together his two numbers.
The result is a cube number that is smaller than 30.

Find two numbers that Aziz could have written down.

Using numbers from 55 to 85, write down

The diagram shows five number cards.

Put two cards side by side to show

Write down a common factor of 16 and 72 that is greater than 2.

Show that there is not a square number between 50 and 60.

Write down a prime number between 50 and 60.

Find

At a bus stop

• a red bus arrives every 18 minutes

and

• a blue bus arrives every 24 minutes.

At 1047 a red bus and a blue bus arrive.

Find the next time when a red bus and a blue bus arrive together.

Find the highest common factor (HCF) of 126 and 180.

Gerry and Alain run around a running track.

To run around the track once

• Gerry always takes 90 seconds
• Alain always takes 105 seconds.

They start together at the same point.

After how many minutes are they next together at that point?

........................................ min

[2]

Talan completes one lap of a track every 80 seconds.

[2]

Write down two prime numbers that have a sum of 40.

Ellis says

"There are more prime numbers between 40 and 50 than there are between 30 and 40"

Is Ellis correct?

You must show how you get your answer.

From this list, write down

Write down

A road has 349 houses on it numbered from 1 to 349.
The diagram shows some of these houses.
The houses on the West side of the road have odd numbers.
The houses on the East side have even numbers.

Write down the numbers in this list that are on the West side.

On the East side, how many houses are there between the house numbered 168 and the house numbered 184?

How many houses on the road have a house number that is a multiple of 39?

Write down

Find the first even multiple of seven that is greater than 100.

From the list, write down the irrational number.

Here is a list of numbers.

From this list, write down a prime number.

From this list, write down an irrational number.

Using the integers from 60 to 75 only, find

[2]

Write down the reciprocal of 7.

From this list of numbers, write down a multiple of 8.

From this list of numbers, write down a square number.

From this list of numbers, write down a prime number.

Here is a list of numbers.

From this list, write down a cube number.

From this list, write down a prime number.

From the list of numbers, write down a multiple of 7.

From the list of numbers, write down a cube number.

From the list of numbers, write down a prime number.

Write 825 as the product of its prime factors.

Find the lowest common multiple (LCM) of 48 and 60.

Write 195 as a product of its prime factors.

Write 432 as the product of its prime factors.

Find the highest common factor (HCF) of 24 and 108.

Find the highest common factor (HCF) of 90 and 48.

Find the lowest common multiple (LCM) of 28 and 35.