20 Problems for GCSE Mathematics

Number triangleMultiplied by itselfA divided by CCrossing the SquarePage numbersSwap two cardsSmallest divisibleDividing with a remainderAngle sumPut in order

March to NovemberBouncing ballCounting the penniesFind your p’s and q’sMode, median and meanCircle areasAll that glittersPipe bandThree consecutive numbers 1Three consecutive numbers 2

Number triangleArrange the numbers 1–15 in a triangle so that the number below any pair of numbers is the difference between those two numbers?

e.g. using the numbers 1 - 10 Complete this using the numbers 1 - 15

Multiplied by itself

A divided by C

Crossing the square

Each shape contained within the largest square is also a square.

The number in each square gives the length of its sides.

What are the values of A, B, C and D?

Page numbers

Swap two cards

Smallest divisible

Dividing with a remainder

Angle sum

Put in order

March to November

Bouncing ball

Counting the pennies

Find your p’s and q’s

Mode, median and mean

Circle areas

All that glitters

Pipe band

Three consecutive numbers 1

Three consecutive numbers 2

The Further Mathematics Support ProgrammeOur aim is to increase the uptake of AS and A level Further Mathematics to ensure that more students reach their potential in mathematics.

To find out more please visit www.furthermaths.org.uk

The FMSP works closely with school/college maths departments to provide professional development opportunities for teachers and maths promotion events for students.