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There are 146 NRICH Mathematical resources connected to Upper primary mapping document, you may find related items under Admin.
Broad Topics > Admin > Upper primary mapping documentThis practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
How many different triangles can you make on a circular pegboard that has nine pegs?
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
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.
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
How many symmetric designs can you make on this grid? Can you find them all?
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
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?
A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
How would you move the bands on the pegboard to alter these shapes?
These clocks have been reflected in a mirror. What times do they say?
This is an adding game for two players. Can you be the first to reach the target?
Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
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?
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
Use the isometric grid paper to find the different polygons.
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
There are lots of different methods to find out what the shapes are worth - how many can you find?
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?
Can you draw a square in which the perimeter is numerically equal to the area?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.
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?
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
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?
Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
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?
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
How many faces can you see when you arrange these three cubes in different ways?