Festival Maths: Emily's Day Out
Festival Maths: Emily's Day Out
Lesduur is: 60 minOnderdelen in deze les
Festival Maths: Emily's Day Out
What do you already know about solving everyday maths problems?
Learning Objective
At the end of the lesson you will be able to apply maths to real-life situations involving money, average calculations, train timetables and symmetry.
Meet Emily
Emily is going to a festival with her friends. Let's follow her day and solve the maths questions she faces!
Buying Festival Tickets
Emily wants to go to the festival for two days. She can buy tickets from Ticketz Direct or AtoZ Tickets. Let's compare the offers.
Ticket Price Comparison
£28 per day. Special offer: Buy two days, get second day half price.
AtoZ Tickets
Ticketz Direct
£26 per day. Special offer: Now 20% off each day.
Calculate Ticketz Direct Cost
First day: £28. Second day: £14 (half price). Total: £42.
Calculate AtoZ Tickets Cost
Standard price: £26 per day. 20% off: £26 x 0.8 = £20.80 per day. For two days: £41.60.
Which Ticket is Cheaper?
AtoZ Tickets costs £41.60 for two days. Ticketz Direct costs £42. AtoZ Tickets is cheaper by 40p.
Train Times to the Festival
Emily needs to choose a train from Hanston to Wickslow so she can arrive at the festival before 10 am.
Train Timetable
Train Times
Other Times
She must leave home 7 min before the train. It takes 12 min from station to festival.
Leaves: 08:30, 08:56, 09:02. Arrives: 09:20, 09:45, 09:50.
Find the Best Train
To arrive by 10 am, she must be at the festival by 10:00. The 09:02 train arrives at 09:50. Add 12 min: 10:02 is too late. The 08:56 train arrives at 09:45. Add 12 min: 09:57 is just in time!
What Time Should Emily Leave Home?
She must catch the 08:56 train, leaving home 7 min earlier. 08:56 – 0:07 = 08:49. Emily should leave home at 08:49 at the latest.
Emily Buys Food
Emily and her 5 friends buy food and spend: £16, £24, £27, £17, £23, £19. Emily thinks the average is £22. Let's check her answer.
How to Find the Average
Add all the amounts: £16 + £24 + £27 + £17 + £23 + £19. Divide by 6 people.
Calculate the Total
£16 + £24 = £40. £40 + £27 = £67. £67 + £17 = £84. £84 + £23 = £107. £107 + £19 = £126. Total = £126.
Find the Average
Divide total by number of people: £126 ÷ 6 = £21. The average is £21, not £22.
Is Emily Correct?
No, Emily is not correct. The correct average spent on food is £21.
Quick Calculation Practice
Work out: (35 + 4) – (7 – 2) = ?
Quick Calculation Answer
(35 + 4) = 39. (7 – 2) = 5. 39 – 5 = 34.
Lines of Symmetry
An equilateral triangle has 3 lines of symmetry. Each passes through a vertex and the midpoint of the opposite side.
Negative Number Practice
Work out –12 – 17. The answer is –29.
Write a Number in Words
256,701 in words is: "two hundred fifty-six thousand, seven hundred and one".
Decimal Multiplication
Work out 0.3 × 0.6 = 0.18.
Long Multiplication
Work out 5,000 × 24 = 120,000.
Lesson Summary
Today, you learned how to calculate averages, compare prices, use timetables, and identify symmetry. Well done!
Write down 3 things you learned in this lesson.
Write down 2 things you want to know more about.
Ask 1 question about something you haven't quite understood yet.
