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|