Working Systematically at KS2

Scroll down to see our complete collection of KS2 problems that require children to work systematically, or explore the two sub-collections focusing on important aspects of systematic working.
Stage: 2 Challenge Level: Challenge Level:1

Finding All Possibilities Upper Primary

These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.

Stage: 2 Challenge Level: Challenge Level:1

Ordered Ways of Working Upper Primary

These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.



Half Time

KS 1 & 2 Challenge Level:

Challenge Level:1

What could the half time scores have been in these Olympic hockey matches?

Sitting Round the Party Tables

KS 1 & 2 Challenge Level:

Challenge Level:1

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Beads and Bags

KS 1 & 2 Challenge Level:

Challenge Level:1

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

School Fair Necklaces

KS 1 & 2 Challenge Level:

Challenge Level:2 Challenge Level:2

How many possible necklaces can you find? And how do you know you've found them all?

A Mixed-up Clock

KS 2 Challenge Level:

Challenge Level:1

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Light the Lights Again

KS 2 Challenge Level:

Challenge Level:1

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?

Buying a Balloon

KS 2 Challenge Level:

Challenge Level:1

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

Fifteen Cardslive

KS 2 Challenge Level:

Challenge Level:1

Can you use the information to find out which cards I have used?

What Do You Need?

KS 2 Challenge Level:

Challenge Level:1

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?

Trebling

KS 2 Challenge Level:

Challenge Level:1

Can you replace the letters with numbers? Is there only one solution in each case?

Cubes Here and There

KS 2 Challenge Level:

Challenge Level:1

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?

A Square of Numbers

KS 2 Challenge Level:

Challenge Level:1

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Sealed Solution

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

Finding Fifteen

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Prison Cells

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

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?

This Pied Piper of Hamelin

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

All the Digits

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

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?

Button-up Some More

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Factor Lines

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Two Primes Make One Square

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

Can you make square numbers by adding two prime numbers together?

Magic Vs

KS 2 Challenge Level:

Challenge Level:2 Challenge Level:2

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Tea Cups

KS 2 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

Counting Cards

KS 2 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

Curious Number

KS 2 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you order the digits from 1-6 to make a number which is divisible by 6 so when the last digit is removed it becomes a 5-figure number divisible by 5, and so on?

Nine-pin Triangles

KS 2 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

How many different triangles can you make on a circular pegboard that has nine pegs?

5 on the Clock

KS 2 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

Reach 100

KS 2 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

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.

Make 37

KS 2 & 3 Challenge Level:

Challenge Level:2 Challenge Level:2

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

First Connect Three

KS 2 & 3 Challenge Level:

Challenge Level:2 Challenge Level:2

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

Inky Cube

KS 2 & 3 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?