Wednesday, February 16, 2011

Stock Up

Walter buys shares of a stock for $1000 on Monday. On Tuesday, the stock gains 10%. On Wednesday it loses 10%. What is the value of the stock at the end of trading on Wednesday?

Twice and Thrice

The sum of two integers is twice their difference. Their product is three times their difference. What are the two integers?

Monday, February 7, 2011

Easy Does It

The ratio of two numbers is twice their sum, and their difference is zero. What are the two numbers?

Equilateral Perimeter

The perimeter of an equilateral triangle is twice the area. What is the length of a side?

Saturday, February 5, 2011

Twin Triangles

Line CD is parallel to AB. What is the ratio of the area of ΔACE to ΔBDE? How do you know?

Quadrilateral Area 4

Use what you know of triangles to find the area of the quadrilateral shown above.

Quadrilateral Area 3

Use what you know of triangles to find the area of the quadrilateral shown above.

Friday, February 4, 2011

Quadrilateral Area 2

Find the area of the quadrilateral shown above.

Quadrilateral Area 1

Find the area of the quadrilateral shown above.

Maximum Apex

The base of a triangle is twice its height. What is the maximum measure of the angle opposite the base (the apex)?

Angle Ratio

The interior angles of a triangle have a ratio of 1:2:3. If the shortest side of this triangle is 2 cm, what is the length of the longest side?

Wednesday, February 2, 2011

Another Angle

The ratio of ∠ABC to ∠CDE is 4:5. What is the measure of ∠CBD?