WORKSHEET ON TRAINELS FOR SAT PRACTICE

Problem 1 :

A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch above. The lengths represented by AB, EB, BD and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet and 800 feet respectively. Segments AC and DE intersect at B, and ∠AEB and ∠CDB have the same measure. What is the value of x?

Solution

Problem 2 :

In the figure above, AE || CD and segment AD intersects segments CE at B. What is the length of segment CE?

Solution

Problem 3 :

In △ABC above, what is the length of AD?

A) 4      B) 6         C) 6√2          D) 6√3

Solution

Problem 4 :

In the figure above, BD is parallel to AE. What is the length of CE?

Solution

Problem 5 :

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio BC/AB?

Solution

Problem 6 :

In the figure above, RT = TU. What is the value of x ?

A) 72     B) 66      C) 64      D) 58

Solution

Problem 7 :

In triangle RST above, point W (not shown) lies on RT. What is the value of cos (∠RSW) - sin(∠WST) ?

Solution

Problem 8 :

In the figure above, lines l and m are parallel, y = 20, and z = 60. What is the value of x ?

A) 120    B) 100     C) 90     D) 80

Solution

Problem 9 :

In the triangle above, a = 34. What is the value of b + c?

Solution