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Number Sense Thinking Classroom Questions

These would be well suited as warm ups or to finish up at the end of class time.

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Six dice are stacked on the floor as shown. On each die, the 1 is opposite the 6, the 2 is opposite the 5, and the 3 is opposite the 4. What is the maximum possible sum of numbers on the 21 visible faces?

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Find the area of the shaded region.

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What is the missing number on this number line?

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What is the missing number on this number line?

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A mathematician emerges from a cave, hands you the slip of paper below, and asks "What is the sum of all real numbers from 0 to 1?”

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The hour, minute, and second hands partition the face of a clock into three regions as shown in the example. The sums of the numbers from each region are multiplied together. What is the greatest value possible for this product?

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In this task students try to score five goals. The challenge is to create expressions using all of the numbers (not digits) 2, 4, 5, 7 and 10 (no repeats). The targets indicate the answers required to score in each location.

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You're competing with a class of high school students where the winner is whoever writes down the 2nd biggest number.

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What's your strategy?

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If Chicken McNuggets are sold in packs of 6, 9, or 20, then 43 is the largest number of nuggets that cannot be ordered.

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Digit Party!

Place the digits into a 5x5 grid.

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Any adjacent matches score points (horizontal, vertical or diagonal)

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Adjacent matches score points equal to the digit value.

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Digit Party!

Place the digits into a 5x5 grid.

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Any adjacent matches score points (horizontal, vertical or diagonal)

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Adjacent matches score points equal to the digit value.

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8 points

9

points

12

points

Next Digit

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Let’s Play

Create a 5 x 5 grid.

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I will open up a game.

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No erasing allowed!

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I will record the values as they are entered reading left to right from top to bottom.

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8 points

9

points

12

points

Next Digit

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How Did You Do?

Can you determine what the maximum possible score was?

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Can you figure out a possible orientation to get that maximum score?

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% of Max Score

Sample Game

Your Score