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
NRICH topics: Fractions, decimals, percentages, ratio and proportion Decimals

Resources tagged with: Decimals

Content type:
Age range:
Challenge level:

There are 13 NRICH Mathematical resources connected to Decimals, you may find related items under Fractions, decimals, percentages, ratio and proportion.

Broad Topics > Fractions, decimals, percentages, ratio and proportion > Decimals

Problem Primary curriculum Secondary curriculum

Terminating or Not

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

Age 11 to 14
Challenge Level Yellow starYellow star
Game Primary curriculum Secondary curriculum

Spiralling Decimals

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

Age 7 to 14
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Route Product

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Round and Round and Round

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 รท 360. How did this help?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Repetitiously

Can you express every recurring decimal as a fraction?

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Tiny Nines

What do you notice about these families of recurring decimals?

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Matching Fractions, Decimals and Percentages

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Age 7 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Shopping Basket

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Age 11 to 16
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Toad in the Hole

Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?

Age 11 to 14
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Reductant Ratios

What does the empirical formula of this mixture of iron oxides tell you about its consituents?

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

A Long Time at the Till

Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?

Age 14 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Magic Matrix

Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?

Age 7 to 11
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Decimal Time

Use the clocks to investigate French decimal time in this problem. Can you see how this time system worked?

Age 11 to 14
Challenge Level Yellow starYellow star

  • 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