Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Fractions Made Faster

Age 7 to 11
Challenge Level Yellow starYellow star
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources
Congratulations to Cong, Katie and Charlie and also Josie, Dominic and George from St Nicolas CE Junior School, who all sent in correct solutions to this problem.

George has this to say on finding the larger of two fractions: What you have to do is look at the two fractions and look which is nearest to the right hand side of the wall. Then to find out by how much, you just look at the fraction wall and see which fraction will go in between the two fractions.

Katie's solution can be viewed by clicking here .

Charlie summarises the solution as follows:

$\frac{1}{3}$ is $\frac{2}{24}$ or $\frac{1}{12}$ bigger than $\frac{2}{8}$
$\frac{3}{4}$ is $\frac{1}{12}$ smaller than $\frac{5}{6}$
$\frac{1}{3}$ is $\frac{3}{6}$ or $\frac{1}{2}$ smaller than $\frac{5}{6}$
$\frac{3}{4}$ of $\frac{2}{3} = \frac{3}{4}$ of $\frac{8}{12 }= \frac{6}{12} = \frac{1}{2}$


You may also like

Worms

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Which Scripts?

There are six numbers written in five different scripts. Can you sort out which is which?

Highest and Lowest

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo