Maths Puzzles for KS3/KS4

KS4 curriculum

Most of the puzzles in this resource can contribute to parts 3.1 and 3.2 of the Range and content section of the 2008 National Curriculum for Key Stage 4, which comes into effect for KS4 students taught from 2010. Click on a strand to see a list of the puzzles that relate to it.

Note that only those strands that relate to one or more puzzles are listed.

3.1 Number and algebra

a Real numbers

b Rules of arithmetic

c Proportional reasoning

d Upper and lower bounds

Since this area applies mainly to handling data gathered first-hand, it is not covered directly by any of the puzzles in this resource, though it could be linked to from puzzles that involve measuring, such as The disappearing dot or Strange shapes.

e Expressions and equations

3.2 Geometry and measures

a Properties and mensuration of 2D and 3D shapes

c Trigonometrical relationships

d Transformations

g Conversions between measures

General coverage

In addition, many of the puzzles contribute to the Key concepts and Key processes sections of the curriculum, which deal with general thinking skills related to maths. The most relevant strands are:

1.1c	Selecting appropriate mathematical tools and methods, including ICT.
1.2b	Using existing mathematical knowledge to create solutions to unfamiliar problems.
1.2c	Posing questions and developing convincing arguments.
1.3d	Engaging in mathematics as an interesting and worthwhile activity.
2.1a	Identify the mathematical aspects of a situation or problem.
2.1d	Select mathematical information, methods, tools and models to use.
2.2a	Make connections within mathematics.
2.2b	Use knowledge of related problems.
2.2d	Identify and classify patterns.
2.2h	Work logically towards results and solutions, recognising the impact of constraints and assumptions.
2.2l	Calculate accurately, using mental methods or calculating devices as appropriate.
2.3f	Engage with someone else’s mathematical reasoning in the context of a problem or particular situation.
2.3g	Critically examine strategies adopted.
2.4c	Consider the elegance and efficiency of alternative solutions.