List

Year 11 Working systematically

Finding factors
problem

Finding factors

Age
14 to 16
Challenge level
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Can you find the hidden factors which multiply together to produce each quadratic expression?
CD Heaven
problem

CD Heaven

Age
14 to 16
Challenge level
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All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
Matchless
problem

Matchless

Age
14 to 16
Challenge level
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There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
LCM Sudoku
problem

LCM Sudoku

Age
14 to 16
Challenge level
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Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
Partly Painted Cube
problem

Partly Painted Cube

Age
14 to 16
Challenge level
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Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Training schedule
problem

Training schedule

Age
14 to 16
Challenge level
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The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?