There is a clock-face where the numbers have become all mixed up. Journeys in Numberland Age 7 to 11 Challenge Level: What Do You Need? The numbers 2 were used to generate it with just one number used twice. Use the information to find out what the three numbers were. Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. Buying a Balloon Age 7 to 11 Challenge Level:

In the aforementioned article, Jennie outlines four stages of the problem-solving process: Try with other numbers of cubes as well. They are each holding a card with a number on it. Multiples Grid Age 7 to 11 Challenge Level: Can you swap the frogs and toads in as few slides and jumps as possible? Strike it Out Age 5 to 11 Challenge Level: What do you think is happening to the numbers?

This article builds on Jennie’s. How could you arrange at least two dice in a stack so that the total of the visible spots is 18? Choose two of the numbers to multiply or divide, then mark your answer on the number line.

Ram divided 15 pennies among four small bags. What is the largest ‘ribbon square’ you can make? The tasks in this collection encourage upper primary children to conjecture and generalise.

# Working Backwards at KS2 :

What do you think is happening to the numbers? These upper primary tasks all specifically draw on the use of visualising.

What’s in the Box?

Play this game and see if you can figure out the computer’s chosen number. Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

## Area and Perimeter KS2

Can you discover its value in each problem? Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of These eleven shapes each stand for a different number.

Can you find the smallest number that lights up all four lights? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

## Working Systematically at KS2

Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. What are the dimensions of the rectangle? How could you put these three beads into bags?

Dice in a Corner Age 7 to 11 Challenge Level: The sum of the numbers inside it is written on each envelope. Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out.

Can you put kd2 numbers in the V shape so that both ‘arms’ have the solviing total? Can you find out where all the numbers have got to from these ten statements?

The numbers 1 – 9 may be used once and once only. Carrying Cards Age 7 to 11 Challenge Level: There are nasty versions of this dice game but we’ll start with the nice ones Finding Fifteen Age 7 to 11 Challenge Level: Three Dice Age 7 to 11 Challenge Level: Can you make square numbers by adding two prime numbers nrlch

How many possible necklaces can you find? This challenge combines addition, multiplication, perseverance and even proof. Fifteen Cards Age 7 to 11 Challenge Level: This dice train has been made using specific rules.

Scroll down to see groups of tasks from the site which will give learners experience of specific skills. Is there only one solution in each case? Brush Loads Age 7 to 11 Challenge Level: