Fractions Unpacked - Progression in Fractions Through Problem Solving

The tasks below form part of our Fractions Unpacked Feature.  

These activities are curriculum-linked, reflecting a progression in ideas associated with fractions, but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.

Halvinglive

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

These pictures show squares split into halves. Can you find other ways?

A Bowl of Fruitlive

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Can you work out how many apples there are in this fruit bowl if you know what fraction there are?

Round the Dice Decimals 1

Stage: 2 Challenge Level: Challenge Level:1

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Round the Dice Decimals 2

Stage: 2 Challenge Level: Challenge Level:1

What happens when you round these numbers to the nearest whole number?

Andy's Marbles

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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.

Spiralling Decimals

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Linked Chainslive

Stage: 2 Challenge Level: Challenge Level:1

Can you find ways to make twenty-link chains from these smaller chains?

Fraction Lengthslive

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?