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Illuminations: Strikes and Spares
National Council of Teachers of Mathematics

What is the smallest possible margin of victory under these circumstances?

Illuminations: Algebra Technique
National Council of Teachers of Mathematics

If x2 + y2 = 36, xy = 32, what is the positive value of x + y?

Illuminations: Sum of Threes
National Council of Teachers of Mathematics

Can you find n?

Illuminations: Square in a Pentagon
National Council of Teachers of Mathematics

If the diagram were continued to include the entire pentagon and the entire square, which shape would extend below the other?

Illuminations: Clock Hands II
National Council of Teachers of Mathematics

Find the times at which the product of the hours and minutes is equal to the number of degrees between the hands.

Illuminations: Even and Odd
National Council of Teachers of Mathematics

Use a minimum of moves to shift checkers from the center to the “Odd” and “even” side circles.

Illuminations: Chess Percents
National Council of Teachers of Mathematics

What is the likelihood that she will win the match?

Illuminations: Sum of Cubes
National Council of Teachers of Mathematics

Can you express 239 as a sum of nine or fewer perfect cubes?

Illuminations: Rectangular Area
National Council of Teachers of Mathematics

What is the area of the shaded region, in square centimeters?

Illuminations: Nontransitive Dice
National Council of Teachers of Mathematics

What is the probability that each dice would produce a higher number than the other?

Illuminations: Square in a Square
National Council of Teachers of Mathematics

What is the ratio of the area of the smaller square to the area of the larger square?

Illuminations: Beads
National Council of Teachers of Mathematics

If she bought at least one of each bead color, how many red beads did she buy?

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