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There are **71** NRICH Mathematical resources connected to **NC Yr 5**, you may find related items under NC.

Problem
Primary curriculum
Secondary curriculum
### Through the Window

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Age 7 to 11

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Spiralling Decimals

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Ribbon Squares

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Olympic Turns

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Factor Track

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Area and Perimeter

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Curious Number

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Making Rectangles

A task 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
### The Numbers Give the Design

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Three Dice

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sea Level

The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?

Age 7 to 11

Challenge Level

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

Problem
Primary curriculum
Secondary curriculum
### Swimming Pool

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Picture a Pyramid ...

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Six Places to Visit

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### How Safe Are You?

How much do you have to turn these dials by in order to unlock the safes?

Age 7 to 11

Challenge Level

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

Game
Primary curriculum
Secondary curriculum
### Factors and Multiples Game

A game in which players take it in turns to choose a number. Can you block your opponent?

Age 7 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Brush Loads

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### More Transformations on a Pegboard

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Age 7 to 11

Challenge Level

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

Problem
Primary curriculum
Secondary curriculum
### Up and Down Staircases

One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Odd Squares

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Trebling

Can you replace the letters with numbers? Is there only one solution in each case?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fitted

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Which Is Quicker?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Transformations on a Pegboard

How would you move the bands on the pegboard to alter these shapes?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Matching Fractions, Decimals and Percentages

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Cubes Within Cubes

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Cycling Squares

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Multiplication Squares

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Reach 100

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.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### All the Digits

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### One Wasn't Square

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.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Four Goodness Sake

Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?

Age 7 to 11

Challenge Level

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

Problem
Primary curriculum
Secondary curriculum
### Numerically Equal

Can you draw a square in which the perimeter is numerically equal to the area?

Age 7 to 11

Challenge Level

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

Problem
Primary curriculum
Secondary curriculum
### Flashing Lights

Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Make 100

Find at least one way to put in some operation signs (+ - x Ã·) to make these digits come to 100.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Abundant Numbers

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?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Egyptian Rope

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Highest and Lowest

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Making Boxes

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Age 7 to 11

Challenge Level