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NRICH topics: Calculations and numerical methods Multiplication and division

Resources tagged with: Multiplication and division

Content type:
Age range:
Challenge level:

There are 184 NRICH Mathematical resources connected to Multiplication and division, you may find related items under Calculations and numerical methods.

Broad Topics > Calculations and numerical methods > Multiplication and division

Problem Primary curriculum Secondary curriculum

Gabriel's Problem

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Same Answer

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Six Numbered Cubes

This task combines spatial awareness with addition and multiplication.

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Six Ten Total

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

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Square Subtraction

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?

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Odd Times Even

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

Age 5 to 7
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Age 7 to 14
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Jumping

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

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Missing Multipliers

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

It Was 2010!

If the answer's 2010, what could the question be?

Age 5 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Which Symbol?

Choose a symbol to put into the number sentence.

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Going Round in Circles

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

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Countdown Fractions

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

Age 11 to 16
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

Countdown

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

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Multiples Sudoku

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Age 11 to 14
Challenge Level Yellow star
Game Primary curriculum Secondary curriculum

The Remainders Game

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

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Shut the Box

An old game but lots of arithmetic!

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Oh! Harry!

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

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

How Much Did it Cost?

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

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Tug Harder!

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?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Secret Number

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

Age 5 to 7
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Route Product

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

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Round and Round and Round

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

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Method in Multiplying Madness?

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

Age 7 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Integrated Product Sudoku

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.

Age 11 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Making Longer, Making Shorter

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

Age 5 to 7
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

More Magic Potting Sheds

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?

Age 11 to 16
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Magic Potting Sheds

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?

Age 11 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Product Sudoku

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

Age 11 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Little Man

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?

Age 5 to 7
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

An Easy Way to Multiply by 10?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Fair Feast

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

Age 5 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Peaches Today, Peaches Tomorrow...

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

A Mixed-up Clock

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?

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

The Deca Tree

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.

Age 7 to 11
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

The Brown Family

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

Age 5 to 7
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Largest Product

Which set of numbers that add to 100 have the largest product?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Remainders

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

Age 7 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Super Shapes

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

Age 7 to 11
ShortChallenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Twenty Divided Into Six

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?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Amy's Dominoes

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

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Forgot the Numbers

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?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Watch the Clock

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?

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Number Rules - OK

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

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Funny Factorisation

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

Age 11 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Expenses

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

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Legs Eleven

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?

Age 11 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

The Puzzling Sweet Shop

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?

Age 5 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Catrina's Cards

How would you find out how many football cards Catrina has collected?

Age 5 to 7
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Doplication

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?

Age 7 to 11
Challenge Level Yellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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