Resources tagged with: Multiplication & division

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There are 174 NRICH Mathematical resources connected to Multiplication & division, you may find related items under Calculations and Numerical Methods.

Broad Topics > Calculations and Numerical Methods > Multiplication & division

Compare the Calculations

Age 7 to 11
Challenge Level

Can you put these four calculations into order of difficulty? How did you decide?

Picture Your Method

Age 7 to 11
Challenge Level

Can you match these calculation methods to their visual representations?

Birthday Sharing

Age 5 to 7
Challenge Level

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Can You Make 100?

Age 11 to 14
Challenge Level

How many ways can you find to put in operation signs (+ - x ÷) to make 100?

Six Numbered Cubes

Age 7 to 11
Challenge Level

This task combines spatial awareness with addition and multiplication.

Six Ten Total

Age 7 to 11
Challenge Level

This challenge combines addition, multiplication, perseverance and even proof.

Square Subtraction

Age 7 to 11
Challenge Level

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Odd Times Even

Age 5 to 7
Challenge Level

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Jumping

Age 7 to 11
Challenge Level

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Which Symbol?

Age 7 to 11
Challenge Level

Choose a symbol to put into the number sentence.

Going Round in Circles

Age 11 to 14
Challenge Level

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

Countdown Fractions

Age 11 to 16
Challenge Level

Here is a chance to play a fractions version of the classic Countdown Game.

Countdown

Age 7 to 14
Challenge Level

Here is a chance to play a version of the classic Countdown Game.

The Remainders Game

Age 7 to 14
Challenge Level

Play this game and see if you can figure out the computer's chosen number.

Shut the Box

Age 5 to 7
Challenge Level

An old game but lots of arithmetic!

Oh! Harry!

Age 7 to 11
Challenge Level

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

How Much Did it Cost?

Age 7 to 11
Challenge Level

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Tug Harder!

Age 7 to 11
Challenge Level

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Secret Number

Age 5 to 7
Challenge Level

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

Route Product

Age 7 to 11
Challenge Level

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Round and Round and Round

Age 11 to 14
Challenge Level

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

Method in Multiplying Madness?

Age 7 to 14
Challenge Level

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Integrated Product Sudoku

Age 11 to 16
Challenge Level

This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.

Making Longer, Making Shorter

Age 5 to 7
Challenge Level

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

More Magic Potting Sheds

Age 11 to 14
Challenge Level

The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

Magic Potting Sheds

Age 11 to 14
Challenge Level

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

Product Sudoku

Age 11 to 16
Challenge Level

The clues for this Sudoku are the product of the numbers in adjacent squares.

Little Man

Age 5 to 7
Challenge Level

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Fair Feast

Age 5 to 11
Challenge Level

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

A Mixed-up Clock

Age 7 to 11
Challenge Level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

The Deca Tree

Age 7 to 11
Challenge Level

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

The Brown Family

Age 5 to 7
Challenge Level

Use the information about Sally and her brother to find out how many children there are in the Brown family.

Largest Product

Age 11 to 14
Challenge Level

Which set of numbers that add to 10 have the largest product?

Remainders

Age 7 to 14
Challenge Level

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Super Shapes

Age 7 to 11 Short
Challenge Level

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Twenty Divided Into Six

Age 7 to 11
Challenge Level

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Amy's Dominoes

Age 7 to 11
Challenge Level

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Forgot the Numbers

Age 7 to 11
Challenge Level

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Watch the Clock

Age 7 to 11
Challenge Level

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Number Rules - OK

Age 14 to 16
Challenge Level

Can you produce convincing arguments that a selection of statements about numbers are true?

Funny Factorisation

Age 11 to 16
Challenge Level

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

Expenses

Age 14 to 16
Challenge Level

What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?

Legs Eleven

Age 11 to 14
Challenge Level

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

The Puzzling Sweet Shop

Age 5 to 11
Challenge Level

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

Doplication

Age 7 to 11
Challenge Level

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Dicey Array

Age 5 to 11
Challenge Level

Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

Interactive Balance

Age 5 to 11
Challenge Level

In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!

Let's Get Flexible!

Age 5 to 11

In this article for primary teachers, Ems outlines how we can encourage learners to be flexible in their approach to calculation, and why this is crucial.

Charitable Pennies

Age 7 to 14
Challenge Level

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

Surprising Split

Age 7 to 11
Challenge Level

Does this 'trick' for calculating multiples of 11 always work? Why or why not?