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Christmas maths escape room for IGCSE and GCSE

The elves have locked the workshop, and the presents are stuck inside. Teams solve six locks in order; each code is needed for the next. Printable clue cards, a teacher answer key and a bonus lock for the fastest team.

Level
IGCSE and GCSE (Higher and Extended)
Time
41 minutes, plus a 10-minute extension
Topics
Number: speed, percentages and division; Algebra: sequences and equations; Shape and probability: volume and expected frequency
Equipment
No calculator needed.

Download student sheet (PDF)Answers (PDF)

Suggested timings

PartTimeWhat
Starter5 minQuick questions on the board
Main: lock 16 minThe wrapping room
Main: lock 26 minThe list
Main: lock 36 minThe sleigh test
Main: lock 46 minThe gift box
Main: lock 56 minThe crackers
Main: lock 66 minThe workshop door
Extension10 minFast finishers or homework

Starter (5 minutes)

Warm-up before the locks: quick questions on the board.

  1. Work out 7 × 8.
  2. Find 25% of 60.
  3. Find the next term: 2, 6, 18, …

Main activity (36 minutes)

Lock 1: The wrapping room (6 min)

Presents are packed in boxes of 12.

  1. There are 180 presents. How many boxes are needed? This is code 1.

Lock 2: The list (6 min)

The elves number their list with a sequence.

  1. Find the nth term of 4, 7, 10, 13, … when n is code 1. This is code 2.

Lock 3: The sleigh test (6 min)

The sleigh does a test run.

  1. It travels code 2 kilometres in 20 minutes. Find its speed in km/h. This is code 3.

Lock 4: The gift box (6 min)

A cuboid gift box measures 3 cm by 2 cm by h cm.

  1. h = code 3 ÷ 23. Find the volume of the box in cm3. This is code 4.

Lock 5: The crackers (6 min)

The probability that a cracker contains a paper hat is 5/6.

  1. Out of code 4 crackers, how many would you expect to contain a hat? This is code 5.

Lock 6: The workshop door (6 min)

The last lock.

  1. Solve 2x − 4 = code 5. The value of x opens the door.

Extension (10 minutes)

Bonus lock for the fastest team.

  1. Find the mean of all six codes.

For teachers

Teacher notes and full worked answers

Starter

  1. 56
    • 7 × 8 = 56
  2. 15
    • 60 ÷ 4 = 15
  3. 54
    • Each term is 3 times the last.

Lock 1: The wrapping room

  1. 15
    • 180 ÷ 12 = 15

Lock 2: The list

  1. 46
    • nth term = 3n + 1
    • 3 × 15 + 1 = 46

Lock 3: The sleigh test

  1. 138
    • 20 minutes is 1/3 of an hour.
    • 46 × 3 = 138 km/h

Lock 4: The gift box

  1. 36
    • h = 138 ÷ 23 = 6
    • 3 × 2 × 6 = 36

Lock 5: The crackers

  1. 30
    • 5/6 × 36 = 30

Lock 6: The workshop door

  1. 17
    • 2x = 34
    • x = 17

Extension

  1. 47
    • 15 + 46 + 138 + 36 + 30 + 17 = 282
    • 282 ÷ 6 = 47

The same answers are in the answers PDF. Every answer was recomputed by computer before publishing.

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