United Kingdom Mathematics Trust

On this page you will find a collection of problems adapted from the UKMT Mathematical Challenges.

The questions have been grouped into two sets of quizzes:

1. Themed Quizzes

These consist of sets of four or five questions grouped by topic. You may choose to use these at the end of teaching a topic unit to provide some challenge, as starters or plenaries to promote positive discussion, as group work tasks, or as extension material for some students in your class whilst you work on the fundamentals with others.

2. Mathematical Challenge Practice Quizzes

These are sets of five questions that each cover a random selection of topics. There are three challenge levels for these Practice Quizzes:

Bronze Taken from questions 1 to 8 on the Junior Maths Challenge Paper
Silver Taken from questions 9 to 16 on the Junior Maths Challenge Paper
Gold Taken from questions 17 to 25 on the Junior Maths Challenge Paper

Each quiz is taken from a range of years, so you can use these alongside the paper versions of the Mathematical Challenges. You may choose to use these in the build up to a Challenge, or make use of them throughout the year as a way of helping students develop problem solving and analytical skills.

The UKMT questions and quizzes may be used in class, or set for students to answer on our system. The advantage of the latter is that they will be marked for you, and you can access detailed insights into your students’ performance and possible misconceptions.

All these questions have been adapted from Junior Mathematical Challenge problems. However, they have not been labelled as such, and hence can be used by students of all ages to challenge them to think mathematically!

The UK Mathematics Trust is a registered charity that aims to advance the education of young people in mathematics.

We run solo and team competitions, organise enrichment activities for students, publish books, and train the UK team for the International Mathematical Olympiad.

Find out more about the UKMT on our website.

Quizzes

Angle Problems
1 2 3 4 5 6
Arithmetic in Context (1/3)
1 2 3 4 5 6
Arithmetic in Context (2/3)
1 2 3 4 5 6
Arithmetic in Context (3/3)
1 2 3 4
Arithmetic without context
1 2 3 4
Averages
1 2
Circles
1
Combinations and Logical Listings (1/2)
1 2 3 4 5 6
Combinations and Logical Listings (2/2)
1 2 3 4 5
Coordinates
1
Decimals
1
Estimation
1
Factors, Multiples and Primes
1 2 3 4 5
Fraction, Decimal and Percentage Equivalence
1
Fractions (1/2)
1 2 3 4 5 6
Fractions (2/2)
1
Money Problems
1 2
Negative Numbers
1
Order of Operations (BIDMAS)
1 2
Percentages
1 2
Perimeter and Area
1 2 3 4 5 6
Place Value
1
Powers and Roots
1
Quadrilaterals and Polygons
1
Ratio
1 2
Reflection and Symmetry
1 2 3 4
Sequences
1
Speed
1
Surface Area and Volume
1 2
Time Problems
1 2 3 4
Units of Measurement
1
Visualising 2D Shapes
1 2
Visualising 3D Shapes
1 2