Cambridge Primary Maths Mapping Stage 5
Number Stage 5
Odd Times Even
This problem looks at how one example of your choice can show something about the general structure of multiplication.
Alphabet Blocks
These alphabet bricks are painted in a special way. A is on one brick, B on two bricks, and so on. How many bricks will be painted by the time they have got to other letters of the alphabet?
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?
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?
Tables Without Tens
Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
What Do You Need?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
Shape Times Shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
Greater Than or Less Than?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Multiply Multiples 1
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Multiply Multiples 2
Can you work out some different ways to balance this equation?
Round the Dice Decimals 1
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
Trebling
Can you replace the letters with numbers? Is there only one solution in each case?
The Deca Tree
Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
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?
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?
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?
Number the Sides
The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
How Much?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
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?
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.
Andy's Marbles
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
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?
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?
Nice or Nasty
There are nasty versions of this dice game but we'll start with the nice ones...
Matching Fractions, Decimals and Percentages
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
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.
Factor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
Geometry Stage 5
Matching Triangles
Can you sort these triangles into three different families and explain how you did it?
How Safe Are You?
How much do you have to turn these dials by in order to unlock the safes?
Nine-pin Triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
National Flags
This problem explores the shapes and symmetries in some national flags.
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.
Cut Nets
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
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?
Symmetry Challenge
How many symmetric designs can you make on this grid? Can you find them all?
Reflector ! Rotcelfer
Can you place the blocks so that you see the reflection in the picture?
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.
Eight Hidden Squares
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
Measure Stage 5
How Tall?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Shaping It
These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
Order, Order!
Can you place these quantities in order from smallest to largest?
Cubes
How many faces can you see when you arrange these three cubes in different ways?
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!
The Big Cheese
Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?
Watermelons
These watermelons have been entered into a competition. Use the information to work out the number of points each one was awarded.
Shape Draw
Use the information on these cards to draw the shape that is being described.
Weighing Fruit
Can you use this information to estimate how much the different fruit selections weigh in kilos and pounds?
How Many Times?
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.?
Numerically Equal
Can you draw a square in which the perimeter is numerically equal to the area?
Oh! Harry!
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
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?
Slow Coach
How many of this company's coaches travelling in the opposite direction does the 10 am coach from Alphaton pass before reaching Betaville?
Wrapping Presents
Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.
The Time Is ...
Can you put these mixed-up times in order? You could arrange them in a circle.
Handling Data Stage 5
Probable Words
If you asked your mum/dad/friend to take you to the park today, what sort of response might you get?
In the Playground
What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
The Car That Passes
What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
Three Spinners
These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
Graphing Number Patterns
Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?
The Twelve Pointed Star Game
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?