Eight word problems set at a school summer fair for Year 5 maths. Pupils find what percentage of 100 tombola tickets are winners, take a 25% discount off a £24 teddy bear, judge whether 0.4 equals 1/4, and total fundraising across year groups. Detailed working for every question fills the answer key. The problems rest on the England National Curriculum percentage equivalents objectives.
Number - fractions (including decimals and percentages)
“Recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred'”
The 100-ticket tombola makes parts per hundred concrete.
Number - fractions (including decimals and percentages)
“Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5”
The discount, battery and reasoning questions all lean on these equivalents.
A short scene-setting paragraph before the questions begin.
From tombola percentages and a 50% fundraising target to a phone battery at 40% and a two-pizza comparison.
Detailed working for all eight questions.
Main activity
Set all eight problems as the application phase of a percentages lesson.
Reasoning talk
The question on whether 0.4 equals 1/4 sparks a quick class debate.
Assessment check
The multi-step final question separates fluent pupils from step-by-step converters.
Get started today
