There are 70 NRICH Mathematical resources connected to NC Yr 5, you may find related items under NC.
Broad Topics > NC > NC Yr 5
Through the Window
Age 7 to 11
Challenge Level
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?
Spiralling Decimals
Age 7 to 14
Challenge Level
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
Ribbon Squares
Age 7 to 11
Challenge Level
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
Olympic Turns
Age 7 to 11
Challenge Level
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
Factor Track
Age 7 to 14
Challenge Level
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.
Area and Perimeter
Age 7 to 11
Challenge Level
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Curious Number
Age 7 to 11
Challenge Level
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?
Making Rectangles
Age 7 to 14
Challenge Level
A task which depends on members of the group noticing the needs of others and responding.
The Numbers Give the Design
Age 7 to 11
Challenge Level
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Three Dice
Age 7 to 11
Challenge Level
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Sea Level
Age 7 to 11
Challenge Level
The picture shows a lighthouse and many underwater creatures. If you know the markings on the lighthouse are 1m apart, can you work out the distances between some of the different creatures?
Tug Harder!
Age 7 to 11
Challenge Level
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?
Swimming Pool
Age 5 to 11
Challenge Level
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?
Picture a Pyramid ...
Age 7 to 11
Challenge Level
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?
Six Places to Visit
Age 7 to 11
Challenge Level
Can you describe the journey to each of the six places on these maps? How would you turn at each junction?
How Safe Are You?
Age 7 to 11
Challenge Level
How much do you have to turn these dials by in order to unlock the safes?
Route Product
Age 7 to 11
Challenge Level
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
Factors and Multiples Game
Age 7 to 16
Challenge Level
A game in which players take it in turns to choose a number. Can you block your opponent?
Brush Loads
Age 7 to 11
Challenge Level
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.
More Transformations on a Pegboard
Age 7 to 11
Challenge Level
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
An Easy Way to Multiply by 10?
Age 7 to 11
Challenge Level
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
Up and Down Staircases
Age 7 to 11
Challenge Level
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?
Odd Squares
Age 7 to 11
Challenge Level
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?
Trebling
Age 7 to 11
Challenge Level
Can you replace the letters with numbers? Is there only one solution in each case?
Fitted
Age 7 to 11
Challenge Level
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?
Which Is Quicker?
Age 7 to 11
Challenge Level
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Transformations on a Pegboard
Age 7 to 11
Challenge Level
How would you move the bands on the pegboard to alter these shapes?
Matching Fractions, Decimals and Percentages
Age 7 to 14
Challenge Level
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Cubes Within Cubes
Age 7 to 14
Challenge Level
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?
Cycling Squares
Age 7 to 11
Challenge Level
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?
Two Primes Make One Square
Age 7 to 11
Challenge Level
Can you make square numbers by adding two prime numbers together?
Multiplication Squares
Age 7 to 11
Challenge Level
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.
Reach 100
Age 7 to 11
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.
All the Digits
Age 7 to 11
Challenge Level
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?
One Wasn't Square
Age 7 to 11
Challenge 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.
Four Goodness Sake
Age 7 to 11
Challenge Level
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
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?
Numerically Equal
Age 7 to 11
Challenge Level
Can you draw a square in which the perimeter is numerically equal to the area?
Forgot the Numbers
Age 7 to 11
Challenge Level
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?
Flashing Lights
Age 7 to 11
Challenge Level
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?
Make 100
Age 7 to 11
Challenge Level
Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.
Abundant Numbers
Age 7 to 11
Challenge 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?
Egyptian Rope
Age 7 to 11
Challenge Level
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?
Highest and Lowest
Age 7 to 11
Challenge Level
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Maze 100
Age 7 to 11
Challenge Level
Can you go through this maze so that the numbers you pass add to exactly 100?
Making Boxes
Age 7 to 11
Challenge Level
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Sweets in a Box
Age 7 to 11
Challenge Level
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?
Bracelets
Age 7 to 11
Challenge Level
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Pebbles
Age 7 to 11
Challenge Level
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.