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Broad Topics > NC > NC Addition and Subtraction

### Space Distances

##### Age 7 to 11 Challenge Level:

This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.

### Ordering Journeys

##### Age 7 to 11 Challenge Level:

How would you put these journey lengths in order? Give a bit of a place value challenge with subtractions set out not as a calculation.

### What Distance?

##### Age 7 to 11 Challenge Level:

This task gives an opportunity to perform some subtractions in a slightly realistic situation.

### Dicey Addition

##### Age 5 to 11 Challenge Level:

Who said that adding couldn't be fun?

### Subtraction Surprise

##### Age 7 to 14 Challenge Level:

Try out some calculations. Are you surprised by the results?

### 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.

### Build it Up

##### Age 7 to 11 Challenge Level:

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

### Unit Differences

##### Age 5 to 7 Challenge Level:

This challenge is about finding the difference between numbers which have the same tens digit.

### What Could it Be?

##### Age 5 to 7 Challenge Level:

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

### Two Spinners

##### Age 5 to 7 Challenge Level:

What two-digit numbers can you make with these two dice? What can't you make?

### Play to 37

##### Age 7 to 11 Challenge Level:

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

### Dice in a Corner

##### Age 7 to 11 Challenge Level:

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

### How Do You See It?

##### Age 5 to 11 Challenge Level:

Here are some short problems for you to try. Talk to your friends about how you work them out.

### Doing and Undoing

##### Age 5 to 11 Challenge Level:

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

### What Was in the Box?

##### Age 5 to 7 Challenge Level:

This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?

### Poly Plug Rectangles

##### Age 5 to 14 Challenge Level:

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

### Fifteen Cards

##### Age 7 to 11 Challenge Level:

Can you use the information to find out which cards I have used?

### Jumping Squares

##### Age 5 to 7 Challenge Level:

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

### Half Time

##### Age 5 to 11 Challenge Level:

What could the half time scores have been in these Olympic hockey matches?

### The Add and Take-away Path

##### Age 5 to 7 Challenge Level:

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

### Pairs of Numbers

##### Age 5 to 7 Challenge Level:

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

### Sitting Round the Party Tables

##### Age 5 to 11 Challenge Level:

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

### How Many?

##### Age 5 to 7 Challenge Level:

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

### Sort Them Out (1)

##### Age 5 to 7 Challenge Level:

Can you each work out the number on your card? What do you notice? How could you sort the cards?

### Strike it Out

##### Age 5 to 11 Challenge Level:

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

### Find the Difference

##### Age 5 to 7 Challenge Level:

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

### Getting the Balance

##### Age 5 to 7 Challenge Level:

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

### Number Lines

##### Age 5 to 7 Challenge Level:

Leah and Tom each have a number line. Can you work out where their counters will land? What are the secret jumps they make with their counters?

### Secret Number

##### Age 5 to 7 Challenge Level:

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

### Domino Sorting

##### Age 5 to 7 Challenge Level:

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

### Weighted Numbers

##### Age 5 to 7 Challenge Level:

Use the number weights to find different ways of balancing the equaliser.

### Number Balance

##### Age 5 to 7 Challenge Level:

Can you hang weights in the right place to make the equaliser balance?

### Cuisenaire Environment

##### Age 5 to 11 Challenge Level:

An environment which simulates working with Cuisenaire rods.

### Cuisenaire Counting

##### Age 5 to 7 Challenge Level:

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

### Finding Fifteen

##### Age 7 to 11 Challenge Level:

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

### The Tall Tower

##### Age 5 to 7 Challenge Level:

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

### 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.

### Eggs in Baskets

##### Age 5 to 7 Challenge Level:

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

### Make 37

##### Age 7 to 14 Challenge Level:

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

### Ladybirds in the Garden

##### Age 5 to 7 Challenge Level:

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

### Got It

##### Age 7 to 14 Challenge Level:

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

### Sealed Solution

##### Age 7 to 11 Challenge Level:

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

### Reach 100

##### Age 7 to 14 Challenge Level:

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

### Money Bags

##### Age 5 to 11 Challenge Level:

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

### 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. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?

### What's in a Name?

##### Age 5 to 7 Challenge Level:

What do you notice about these squares of numbers? What is the same? What is different?

### Heads and Feet

##### Age 5 to 7 Challenge Level:

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?