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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
A cheat sheet that is used contrary to the rules of an exam may need to be small enough to conceal in the palm of the hand Cheat sheet in front of a juice box. A cheat sheet (also cheatsheet) or crib sheet is a concise set of notes used for quick reference.
The original version of 24 is played with an ordinary deck of playing cards with all the face cards removed. The aces are taken to have the value 1 and the basic game proceeds by having 4 cards dealt and the first player that can achieve the number 24 exactly using only allowed operations (addition, subtraction, multiplication, division, and parentheses) wins the hand.
It can be used with the Expressive Vocabulary Test-Second Edition (EVT-2) to make a direct comparison between the examinee's receptive and expressive vocabulary skills. The PPVT was developed in 1959 by special education specialists Lloyd M. Dunn and Leota M. Dunn. The current version lists L.M. Dunn and his son D.M. Dunn as authors. [1] [2]
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The digit sum of 2946, for example is 2 + 9 + 4 + 6 = 21. Since 21 = 2946 − 325 × 9, the effect of taking the digit sum of 2946 is to "cast out" 325 lots of 9 from it. If the digit 9 is ignored when summing the digits, the effect is to "cast out" one more 9 to give the result 12.
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The use of triangular corner flags in English football is not a privilege reserved for those teams that have won an FA Cup in the past, as depicted in a scene in the film Twin Town. The Football Association 's rules are silent on the subject, and the decision over what shape flag to use has been up to the individual club's groundskeepers.