Cambridge Primary Maths Mapping Stage 6
Number Stage 6
Odd Times Even
This problem looks at how one example of your choice can show something about the general structure of multiplication.
Blackcurrantiest
Can you decide whose drink has the strongest blackcurrant flavour from these pictures?
Which Would You Rather?
Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Fractional Wall
Using the picture of the fraction wall, can you find equivalent fractions?
Round the Four Dice
This activity involves rounding four-digit numbers to the nearest thousand.
Round the Dice Decimals 2
What happens when you round these numbers to the nearest whole number?
Bryony's Triangle
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
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?
Multiply Multiples 3
Have a go at balancing this equation. Can you find different ways of doing it?
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?
Division Rules
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Route Product
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
How Much?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Roll These Dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
Multiples Grid
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
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.
Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
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?
Light the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Two Primes Make One Square
Can you make square numbers by adding two prime numbers together?
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?
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?
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?
Nice or Nasty
There are nasty versions of this dice game but we'll start with the nice ones...
History of Fractions
Who first used fractions? Were they always written in the same way? How did fractions reach us here? These are the sorts of questions which this article will answer for you.
Matching Fractions, Decimals and Percentages
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Chocolate
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
Factor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Factors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
Dicey Operations
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Measure Stage 6
Drawing
This activity encourages you to measure the length of lines accurately.
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.
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?
Distance Match
Can you match these pairs of distances, one in miles and one in kilometres?
Tom Learns to Cook
If Tom wants to learn to cook his favourite supper, he needs to make a schedule so that everything is ready at the same time.
Journeys
Investigate the different distances of these car journeys and find out how long they take.
Area and Perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Two Clocks
These clocks have only one hand, but can you work out what time they are showing from the information?
Rope Mat
How many centimetres of rope will I need to make another mat just like the one I have here?
Wonky Watches
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.
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?
Fives on the Clock
On a digital clock showing 24-hour time, over a whole day, how many times does a 5 appear?
Geometry Stage 6
How Safe Are You?
How much do you have to turn these dials by in order to unlock the safes?
Where Are They?
Use the isometric grid paper to find the different polygons.
Times
Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!
A Cartesian Puzzle
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
Three Triangles
What do you notice when you put three triangles together?
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?
Stringy Quads
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
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.
Quadrilaterals
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Handling Data Stage 6
Real Statistics
Have a look at this table of how children travel to school. How does it compare with children in your class?
Probably...
You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
Match the Matches
Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.
It's a Tie
Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?