1 Simple algebra
How old was Eric? 003
2 The distributive property
ABCDEFG 016
One billion 017
The innkeeper's conundrum 023
3 Formulas and Patterns
5400 ÷ 3 033
Patterns – Beware! 041
4 Linear Equations
How much money is in my pocket? 057
6 Simultaneous equations
Mind your p’s and q’s 078
The girls’ softball team 081
Tom and Sally 083
Three sides equal 086
Taro and coconuts 089
7 Algebraic Fractions
The five-level apartment block 091
Square and isosceles triangle fractions 092
Tidy numbers 093
The name of the engine-driver 094
Who owns the Zebra? (solution)
095
9 Parabolas
How often is
the result prime?
119
10 Metric units
Imperial
units 135
11
Perimeter and circumference
The hula hoop
144
12 Area
Red Square 148
The quadrant puzzle 153
14 Capacity, density and time
The three faces of a cuboid
175
15 Rates
How many sheep?
184
Three speedy puzzles 187
17 Constructions and Loci
Old McDonald had a farm 222
The water-trough 222
Squeezing
trees into a garden 222
18 Isometric drawings and nets
Which vertex is opposite K? 226
Parallel edges in a cuboid 226
The birthday cake 228
19 Use of Transformations
The revolving arrow
240
Magic square - round and round and back to front 252
20 Statistical methods
Edward’s lowest possible score
266
22
Probability
Counterfeit notes 311
Drunk driving 314
How many flags? 317
The nine marbles 325
23 Rational numbers
Unfriendly number net 329
Edward and the CDs 331
The tango 332
St Ives 335
Factors of a million
338
24 Percentages
The
Hammond
family’s monthly expenses 350
25 Ratios and sharing
The 9000 cm3 box 370
The Mona Lisa 372
27
Pythagoras
More or less right 386
The shortest telephone line 387
Nia and Pha 392
The trisected square 395
28 Trigonometry
Scraping the road 410
31
Angles, parallel lines and polygons
Melissa’s watch 450
The Spider and the fly 464
32
Symmetry and Similarity
How many squares? 469
33 Circle Geometry and Geometric
Proof
Twenty
more 490
Nested isosceles triangles 490