SQA PAST PAPER SOLUTIONS

Contest Papers:

• 1998 British Maths Olympiad Round 2
• 1998 Invitational Maths Challenge
• 1998 Junior Maths Olympiad
• 1999 British Maths Olympiad Round 1
• 1999 British Maths Olympiad Round 2
• 1999 International Mathematical Olympiad (held in Romania)
• 2000 British Maths Olympiad Round 1
• 2000 British Maths Olympiad Round 2
• 2001 British Maths Olympiad Round 1
• Les Tests Mathematiques du Kangourou (some Kangaroo Papers in French!)
• 2007 Kangaroo (Pink) (pdf File)

Course Notes for Teachers:

• SQA Higher Course

Curiosities:

• Paul McCartney's Maths Jotter

Enrichment & Contest Training Resources:

• Index Page

SQA Exam Answers:

• THE 1998 ANSWERS

• THE 1999 ANSWERS

• THE 2000 ANSWERS

• THE 2001 ANSWERS

• THE 2002 ANSWERS

• THE 2003 ANSWERS

• THE 2004 ANSWERS

• THE 2006 ANSWERS

• The 2007 ANSWERS

• THE 2010 ANSWERS

• THE 2011 ANSWERS

• THE 2012 ANSWERS

Lesson & Investigation ideas:

• Amazing Number Facts
• Derangements ( for the Year Digit Challenge )
• Descriptive Numbers:
• Factordigitsum
• nth term formulae...difference method
• Number spiral
• The Riach Wallpaper Frieze
• Seth Rectangles
• The Share-out
• The Tie Knot Formula

Mathematical Games:

• The World of Mathematical Games A collection of Paper & Pencil Games
• Interactive Mathematical Games A collection of links to the best on the Web

Mathematical Images:

• Snowflake Gallery (photographs of snowflakes)
• Paper Snowflake Instructions

Sketchup Files:

• Index Page

Software (for Apple Macs):

• Mathematical Applications
• Mathematical Games

Standards Unit Materials:

• pdf Files from Standards Unit - Improving Learning in Mathematics

Step Papers:

• We have some Step Links to materials that would be useful for preparing for these Papers

Student's Work:

• Index Page

Special Topic Links:

• Useful links for the study of Perfect Numbers
• Useful links for the study of The Base 12 Number System

Web Activities:

• Web Activities No5 : House Building
• Web Activities No6 : Investigating House Numbers
• Recording Sheets: Elevations and Four Views
• Web Activities No 7: Twenty 3D Questions

Worksheets:

• Christmas Coordinate Pictures 1
• Christmas Coordinate Pictures 2
• Fibonacci Cross-number Puzzles
• Flip Books
• Large-screen calculator worksheet 1
• Large-screen calculator worksheet 2
• Penrose Tiles
• Polar Coordinates 1
• PolyPicks(from Toothpick World)
• Sheet 1a and Sheet 1b (The Old Number Puzzle Grids No1)
• Sheet 2a and Sheet 2b (The Old Number Puzzle Grids No2)
• Sheet 3a (Cross-Sums No1) Sheet 3b (Number Snake No1)
• Sheet 64 (Missing Number Puzzles No1)
• Sheet 65 (Coordinate Picture No1)
• Sheet 66a and Sheet 66b ( Missing Number Puzzles No2a and No2b)
• Sheet 72a and Sheet 72b (Cross-number Puzzles No1 and No2)
• Sheet 74a (Cross-number Puzzle No5)
• Sheet 96 (Roman Numeral Cross Number Puzzle)
• Sheet 97a and Sheet 97b (Chinese Cross-number Puzzles)
• Sheet 123a and Sheet 123b (Replace the dots)
• Sheet 248a and Sheet 248b (Domino Puzzles No1 and No2)
• Sheet 249 (Domino Cut-out Sheet)
• Sheet 269 (The Gigantic Domino Puzzle)
• Sheet 273 (The Algebraic Cross-Number Puzzle)
• Sheet 301a and Sheet 301b (Bubbles inside bubbles...)
• Sheet W1 (Patterns 1)
• Sheet W2 (Hexagonal Number Cross-number Puzzle)
• Sheet W3 (Equations Cross-Number Puzzle)
• Sheet W4 (Puzzles No1 from Toothpick World)
• Sheet W5 (Puzzles No2 from Toothpick World)
• Sheet W6 (Puzzles No3 from Toothpick World)