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There are **51** NRICH Mathematical resources connected to **NC Yr 6**, you may find related items under NC.

Problem
Primary curriculum
Secondary curriculum
### 4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Different Deductions

There are lots of different methods to find out what the shapes are worth - how many can you find?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Number Lines in Disguise

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Price Match

Can you find pairs of differently sized windows that cost the same?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Extending Fraction Bars

Can you compare these bars with each other and express their lengths as fractions of the black bar?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### More Fraction Bars

What fraction of the black bar are the other bars? Have a go at this challenging task!

Age 7 to 11

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Always, Sometimes or Never? Shape

Are these statements always true, sometimes true or never true?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Always, Sometimes or Never? Number

Are these statements always true, sometimes true or never true?

Age 7 to 11

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Round the Four Dice

This activity involves rounding four-digit numbers to the nearest thousand.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Shape Draw

Use the information on these cards to draw the shape that is being described.

Age 7 to 11

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Dicey Perimeter, Dicey Area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Birdwatch

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

Age 7 to 11

Challenge Level

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

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

Problem
Primary curriculum
Secondary curriculum
### Button-up Some More

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Counting Cogs

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Holes

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Baravelle

What can you see? What do you notice? What questions can you ask?

Age 7 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Four Go

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Factor-multiple Chains

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fraction Fascination

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Diagonal Sums

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Ten Hidden Squares

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Orange Drink

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Cut Nets

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Factor Lines

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Would You Rather?

Would you rather: Have 10% of Â£5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Plenty of Pens

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Mystery Matrix

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Where Are They?

Use the isometric grid paper to find the different polygons.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Age 7 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Age 7 to 11

Challenge Level

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