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

Toad in the Hole

Age 11 to 14
Challenge Level Yellow star
  • Problem
  • Student Solutions
  • Teachers' Resources
How much would it cost to make enough Toad in the Hole to feed a family of three?

You'll need to buy all the things on the shopping list - and you'll only need to buy one of each item, because each provides more than is needed in the recipe for Toad in the Hole for 3.
So...

£2 + £1.45 + 48p + £1.46 + 48p = £5.87


As the supermarket Toad in the Hole will cost £3 (3 x £1), it is cheaper to buy the ready meals!

But you would have a lot of extra oil, flour, eggs and milk left still, so maybe if you are cooking for more people (or if you want to make several meals and freeze them, or you're quite happy to have some of the ingredients left for something else) it would be cheaper to cook from scratch.  

So let's see how much what we actually need for a Toad in the Hole for 3 people costs:

400g pack of sausages costs £2

If 1 litre of oil costs £1.45, then 10ml costs 1.45p and so 15ml costs 2.175p

If 500g flour costs 48p, then 100g costs 9.6p

If 6 eggs cost £1.46, then 1 egg costs 24.33p

If 1 litre milk costs 48p, then 250ml costs 12p

So the actual cost of the meal for three people is £2.46 (to the nearest penny) - rather less than £5.87, and also less than the £3 that three ready meals would cost.

You may also like

Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

  • 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