To view the problem statement, double click on the problem title. This will open up the problem in a new window. From there, you can download the full problem-and-solution Word document.

Examples
Page Ref |
Problem
Title |
Objectives
Ref |
Description |
Key Words |

91, 97 | Sisterly Squares | Multiplication Strategies, (a+b)(a-b), Factorizing | 25 and 36 are both squares, and 2+1=3, 5+1=6... when's the next pair ?! | Factorize |

57, 91, 133 | Power Twins | Index Laws, Powers, Trial + Improvement | 2 ^{4}
= 4 ^{2} - find some more examples ! |
Exponent, Index, Reciprocal, Trial + Improvement |

59, 105 | Large Perfect Squares | Algebraic expressions, Refine written methods | This is based on the idea of squaring a bracket and would follow on from practice in for example squaring 13 as (10+3) or 28 as (20+8). | Factorize, Power, Brackets, Quadratic expansion |

59 | Friendly Surds | Index Laws | Using factorization of surds to find why | Surds, Factorize |

57, 63 | Factor Fractions | Indices, Powers, Cancelling Fractions |
Can you find three different whole numbers a, b and c, which will make the value of a whole number itself? |
Index, Factorize, Common Factors |

109 | PC Plod... | Complex Calculator methods | How many ways can a policeman patrol a grid of streets ? | Factorial, Pascal's triangle |