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

More Number Fluency Tasks Upper Primary

These tasks will help children become more fluent in the context of number and calculation.  They supplement the activities in our Fluency Feature.  The first two are games and so could be revisited many times, whereas the remaining activities are one-off challenges.

Forgot the Numbers

Age 7 to 11
Challenge Level Yellow starYellow star

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Spiralling Decimals

Age 7 to 14
Challenge Level Yellow starYellow star

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

Number Match

Age 5 to 11
Challenge Level Yellow star

A task which depends on members of the group noticing the needs of others and responding.

I'm Eight

Age 5 to 11
Challenge Level Yellow star

Find a great variety of ways of asking questions which make 8.

Consecutive Numbers

Age 7 to 14
Challenge Level Yellow star

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Three Dice

Age 7 to 11
Challenge Level Yellow star

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Sealed Solution

Age 7 to 11
Challenge Level Yellow starYellow star

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?

Reach 100

Age 7 to 11
Challenge Level Yellow starYellow star

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.

  • 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