Number Problems Extension                                               

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