Computation Problems

Which sets of small integers satisfy the equation of the Pythagorean theorem?

• {3, 4, 5}

• {5, 12, 13}

• {7, 24, 25}

• {8, 15, 17}

What operations should every team be able to perform on matrices?

• Addition, subtraction, multiplication

• Determinant, transpose, inversion

• Addition, subtraction, multiplication, determinant, transpose, inversion

• Multiplication, determinant, transpose, inversion

What should every team be able to find about vectors?

• Magnitude, angle between, dot product

• Magnitude, angle between, dot product, cross product

• Magnitude, angle between, cross product

• Magnitude, dot product, cross product

What should teams be able to calculate about solids?

• Volume and surface area

• Surface area only

• Volume only

• Neither volume nor surface area

What should teams be able to calculate about plane figures?

• Areas of triangles, trapezoids, parallelograms

• Areas of triangles, trapezoids, parallelograms, rhombi

• Areas of triangles, trapezoids, parallelograms, rhombi, regular polygons

• Areas of triangles, trapezoids, parallelograms, rhombi, regular polygons, circles

How are the areas of similar figures related?

• They are equal

• They are proportional

• They are inversely proportional

• They are unrelated

What should teams be able to compute in combinatorics?

• Permutations and combinations

• Permutations only

• Combinations only

• Neither permutations nor combinations

What should teams be familiar with in logarithms?

• Simplifying logarithms

• Converting bases

• Both simplifying logarithms and converting bases

• Neither simplifying logarithms nor converting bases

What should teams be familiar with in complex numbers?

• Basic operations and graphing

• Converting to polar form

• Both basic operations and graphing, and converting to polar form

• Neither basic operations and graphing, nor converting to polar form

What should teams be able to apply in divisibility rules?

• Divisibility rules for small integers

• Divisibility rules for large integers

• Both divisibility rules for small integers and large integers

• Neither divisibility rules for small integers nor large integers