13.
[3 marks]
Every day Claire has breakfast, lunch and dinner.
The options for each meal are:
Show all the different combinations of meals that Claire could eat on any particular day. You may use the abbreviations (e.g. CSP, CSL, ...) to represent each meal.
The options for each meal are:
- Breakfast: Cereal (C) or Fruit (F)
- Lunch: Soup (S) or a Wrap (W)
- Dinner: Pizza (P) or Lasagne (L) or Noodles (N)
Show all the different combinations of meals that Claire could eat on any particular day. You may use the abbreviations (e.g. CSP, CSL, ...) to represent each meal.
a) How many total different meal combinations are possible?
combinations
b) List all 12 combinations (use 3-letter codes like CSP, FSL):
14.
[3 marks]
A shape is made using 4 identical rectangular tiles.
Find the total perimeter of the shape, showing your working out.
Step 1: Length and width of a single rectangular tile:
Long side =
cm
Short side =
cm
Step 2: Total perimeter of the combined shape:
cm
15.
[3 marks]
A Headteacher's Commendation is worth five House Points, and an ACE award is worth two House Points.
After 1 week Siena, Campion, Bosco and Magdalene are all tied on 38 House Points even though they have all achieved different amounts of Headteacher's Commendations and ACE awards.
How many ACE awards have been achieved by the four Houses in total?
After 1 week Siena, Campion, Bosco and Magdalene are all tied on 38 House Points even though they have all achieved different amounts of Headteacher's Commendations and ACE awards.
How many ACE awards have been achieved by the four Houses in total?
Total ACE awards achieved by the four Houses:
ACE awards