Resources tagged with: Addition & subtraction

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Calendar Patterns

Age 7 to 11Challenge Level

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?

Number Squares

Age 5 to 11Challenge Level

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

Age 7 to 11Challenge Level

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Homes

Age 5 to 7Challenge Level

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

Abundant Numbers

Age 7 to 11Challenge Level

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

Sam's Quick Sum

Age 7 to 11Challenge Level

What is the sum of all the three digit whole numbers?

Next Number

Age 7 to 11 ShortChallenge Level

Find the next number in this pattern: 3, 7, 19, 55 ...

Making Maths: Be a Mathemagician

Age 7 to 11Challenge Level

Surprise your friends with this magic square trick.

Month Mania

Age 5 to 11Challenge Level

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

Caterpillars

Age 5 to 7Challenge Level

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Function Machines

Age 7 to 11Challenge Level

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

Polo Square

Age 7 to 11Challenge Level

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.

Exploring Wild & Wonderful Number Patterns

Age 7 to 11Challenge Level

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Calendar Calculations

Age 7 to 11Challenge Level

Try adding together the dates of all the days in one week. Now multiply the first date by 7 and add 21. Can you explain what happens?

The 24 Game

Age 7 to 11Challenge Level

There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?

All Seated

Age 7 to 11Challenge Level

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

Diagonal in a Spiral

Age 7 to 11Challenge Level

Investigate the totals you get when adding numbers on the diagonal of this pattern in threes.

The Deca Tree

Age 7 to 11Challenge 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 Pied Piper of Hamelin

Age 7 to 11Challenge Level

This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Marvellous Matrix

Age 7 to 11Challenge Level

Follow the directions for circling numbers in the matrix. Add all the circled numbers together. Note your answer. Try again with a different starting number. What do you notice?

Sometimes We Lose Things

Age 7 to 11Challenge Level

Well now, what would happen if we lost all the nines in our number system? Have a go at writing the numbers out in this way and have a look at the multiplications table.

Magic Triangle

Age 7 to 11Challenge Level

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

Which Symbol?

Age 7 to 11Challenge Level

Choose a symbol to put into the number sentence.

Bean Bags for Bernard's Bag

Age 7 to 11Challenge Level

How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

It Was 2010!

Age 5 to 11Challenge Level

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

Magic Constants

Age 7 to 11Challenge Level

In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?

Sept03 Sept03 Sept03

Age 7 to 11Challenge Level

This number has 903 digits. What is the sum of all 903 digits?

Sending Cards

Age 7 to 11Challenge Level

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

Doplication

Age 7 to 11Challenge 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?

Hubble, Bubble

Age 7 to 11Challenge Level

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?

Build it up More

Age 7 to 11Challenge Level

This task follows on from Build it Up and takes the ideas into three dimensions!

Street Sequences

Age 5 to 11Challenge Level

Investigate what happens when you add house numbers along a street in different ways.

Penta Post

Age 7 to 11Challenge Level

Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?

Being Collaborative - Lower Primary Number

Age 5 to 7

Number problems for you to work on with others.

One Wasn't Square

Age 7 to 11Challenge Level

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

Clock Face

Age 7 to 11Challenge Level

Where can you draw a line on a clock face so that the numbers on both sides have the same total?

Domino Join Up

Age 5 to 7Challenge Level

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

The Puzzling Sweet Shop

Age 5 to 11Challenge 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?

Fair Exchange

Age 5 to 7Challenge Level

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

Machines

Age 7 to 11Challenge Level

What is happening at each box in these machines?

On Target

Age 7 to 11Challenge Level

You have 5 darts and your target score is 44. How many different ways could you score 44?

How Much Did it Cost?

Age 7 to 11Challenge Level

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

A Mixed-up Clock

Age 7 to 11Challenge 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?

Rod Measures

Age 7 to 11Challenge Level

Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?

Bundles of Cubes

Age 7 to 11Challenge Level

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

Starfish Spotting

Age 5 to 7Challenge Level

How many starfish could there be on the beach, and how many children, if I can see 28 arms?

Big Dog, Little Dog

Age 5 to 7Challenge Level

Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

Up and Down

Age 5 to 7Challenge Level

Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?

Spell by Numbers

Age 7 to 11Challenge Level

Can you substitute numbers for the letters in these sums?

Throw a 100

Age 7 to 11Challenge Level

Can you score 100 by throwing rings on this board? Is there more than way to do it?