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