Title Maths11plus11- The Haberdasher Askes’ Boys’ School Speed Triangle Toast Value Added Tax Pound Sterling 649.6 KB 12
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21. Amar (form captain), Brian (vice captain), Charles and Daniel are
best friends in the same class at school. They always like to stand next to
each other in the lunch queue.

On Mondays it is a school rule that the form captain is at the front of the
queue followed by the vice captain. There are two ways in which these boys
can queue up on a Monday: ABCD and ABDC.

On Tuesdays, the form captain must again queue up first but the remaining
three boys can follow in any order. There are six ways in which these boys
can queue up on a Tuesday. Four of these ways are listed below. Write
down the remaining two: ABCD, ABDC, ACBD, ACDB, _______, _________

On Wednesdays there are no restrictions and all four boys can queue up
together in any order. In how many ways can this be done? ____________

22. Isolde enjoys making cubes. She first draws out shapes on pieces of

cardboard and then folds them along the lines to form a cube.

The diagrams below show six attempts.

Unfortunately only five of these actually work.

Cross out the shape which is impossible.

SPACE FOR WORKING