Games

Interactive games.

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Study Guides

Short study guides covering a variety of topics designed to support motivated middle school and high school teachers and students.

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Adding Eights

Using only addition, add eight 8s to equal the number 1,000.

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Where Does the Z Go?

    A      E F  H I K L M N          T V W X Y 
   --------------------------------------------     Z
      B C D   G    J        O P Q R S U 

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The Missing Denominators

If $\dfrac{1}{3} = \dfrac{1}{a} + \dfrac{1}{b}$, find the value of $a$ and $b$.

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The Missing Numerators

In the below equation, $a$ and $b$ are whole numbers. Find the values of $a$ and $b$.

$$\dfrac{a}{11} + \dfrac{b}{3} = \dfrac{31}{33}$$

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The Missing Third

If 20 is added to $\dfrac{1}{3}$ of a number, the result will be double the original number. What is the original number?

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The Work Crew

A crew of 3 workers needs 3 weeks and 2 days to complete a project.

Because the workers have no union protections, adding more workers is not expensive. On the other hand, the capitalists are very aware that “time is money”. They hope to make a faster profit by putting more workers on the project.

They offer you a percentage of the increased profit if you can tell them exactly how long it would take a crew of 4 workers to complete the project, each working at the same rate as the original workers.

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Counting by Threes

If we count by 3s, starting with 1, the following sequence is created: 1, 4, 7, 10… What is the 100th number in this sequence? What is the easiest/smartest way to figure this out?

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Mystery Number

A four-digit numeral, $3AA1$ is divisible by $9$. What digit does the $A$ represent?

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