Four Problems

Marilou is thinking of a number. The number is less than one hundred. If five sixths of the number is 60, what is two thirds of it?
Find two consecutive numbers with a product of 6642.
Is 2019 a prime number?
A 10cm x 10cm x 10cm cube has a capacity of 1 litre. What are the dimensions of a cube that will hold half a litre?

A Mathematics Lesson Starter Of The Day

Topics: Starter | Arithmetic | Number

  • Transum,
  • Four nice questions for students to ponder at the beginning of your lesson. Some allow for a trial-and-improvement method to arrive at the solution while others require a more methodical approach. All of them may generate discussion amongst the students which could be followed up by the teacher accordingly.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
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FACT button

Tip For Teacher

Most people don't know all of the wonderful things our calculators can do. There are just so many buttons and functions.

Do you have this strange FACT function on your calculator? Do you know what it does?

Type a number (48 is a good example) into the calculator then press the equals button.

Next press shift then this button with FACT written over it.

You should now see 24 × 3 in the calculator display.

The function performed the prime factorisation of 48.

Very useful.

So this button can be used to find out if a number is a prime number as the prime factorisation function will return the original number.

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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here's the URL which will take them to an activity called Pentransum.

Student Activity


Curriculum Reference

See the National Curriculum page for links to related online activities and resources.


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