# Resources tagged with: Integers

### There are 17 results

Broad Topics >

The Number System and Place Value > Integers

##### Age 7 to 18

Ranging from kindergarten mathematics to the fringe of research
this informal article paints the big picture of number in a non
technical way suitable for primary teachers and older students.

##### Age 14 to 18

Challenge Level

Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2

##### Age 16 to 18

Challenge Level

The symbol [ ] means 'the integer part of'. Can the numbers [2x];
2[x]; [x + 1/2] + [x - 1/2] ever be equal? Can they ever take three
different values?

##### Age 16 to 18

Challenge Level

Explore the properties of some groups such as: The set of all real
numbers excluding -1 together with the operation x*y = xy + x + y.
Find the identity and the inverse of the element x.

##### Age 14 to 16

Challenge Level

Can you explain why a sequence of operations always gives you perfect squares?

##### Age 14 to 16

Challenge Level

I am exactly n times my daughter's age. In m years I shall be ... How old am I?

##### Age 14 to 16

Challenge Level

Can you create a Latin Square from multiples of a six digit number?

##### Age 14 to 16

Challenge Level

To make 11 kilograms of this blend of coffee costs £15 per
kilogram. The blend uses more Brazilian, Kenyan and Mocha coffee...
How many kilograms of each type of coffee are used?

##### Age 14 to 16

Challenge Level

Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...

##### Age 11 to 16

Challenge Level

Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. How many different solutions can you find?

##### Age 14 to 16

Challenge Level

If a two digit number has its digits reversed and the smaller of the two numbers is subtracted from the larger, prove the difference can never be prime.

##### Age 14 to 16

Challenge Level

Explore the factors of the numbers which are written as 10101 in
different number bases. Prove that the numbers 10201, 11011 and
10101 are composite in any base.

##### Age 14 to 18

Challenge Level

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

##### Age 16 to 18

How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with
the solutions x and y being integers? Read this article to find
out.

##### Age 14 to 16

Challenge Level

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

##### Age 14 to 16

Challenge Level

Find the maximum value of 1/p + 1/q + 1/r where this sum is less than 1 and p, q, and r are positive integers.

##### Age 7 to 16

Challenge Level

Using the 8 dominoes make a square where each of the columns and rows adds up to 8