05/08/2026
SUMMER HOLIDAY MATHS PUZZLE FOR 5 YEARS - 105 YEARS!
How Big Is The Circus Tent?
I’m Liz Grant , a local maths tutor and teacher in Rochford and I thought you would all love to solve a maths puzzle!
You have a week to consider your answer…….
Whilst walking past the local circus tent, I thought how many cubic metres does this tent hold?
My dimensions of the tent:
Cylindrical Base: 2Om diameter and height 3m
Frustrum: Sat on top of the cylinder is a frustrum with base diameter 20m, top diameter 4m. Perpendicular height of frustrum is 12m.
HINT: Frustrum = big cone minus small cone (consider scale factors and similar shapes)
Octagonal Prism: Sat on top of the Frustrum is an octagonal prism.
Assume the base is a regular octagon and distance from each vertex to centre of octagon is 2m. Perpendicular height of octagonal prism is 1m.
Octagonal based pyramid: Sat on the very top of the tent is an octagonal based pyramid. The octagonal base has the same dimensions as the base of the octagonal prism and the perpendicular height of the pyramid is 2m.
No cheating - No AI allowed!!
Answers can be presented to me in person next Wednesday 12th August at Market West Cafe in Rochford between 10am - 1pm
5-14 year olds can estimate.
5-7 year olds: answer to be within 50 cubic metres of true value
8-10 year olds: answer to be within 20 cubic metres of true value
11-14 year olds: answer to be within 10 cubic metres of true value - ideally with some explanation of how to find the area of a circle.
15 - 16 year olds: Foundation GCSE maths - answer to be within 10 cubic metres and a precise method explained how to find the volume of the cylinder.
15 - 105 year olds: Higher GCSE maths- answer correct to the nearest whole number or ideally left in terms of multiples of pi and multiples of root 2. You have to be able to explain your answer.
No AI cheats!
HINT: you will need to know how to find volumes of prisms, frustrums and pyramids and how to find the areas of circles and regular octagons. Trigonometry needed for octagonal area.
Small confectionery prize for correct answers. 🤗