DRILL 1

Question 1

Quantity A Quantity B
x 70

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 2

In the figure above, if ABCD is a rectangle, then what is the perimeter of ∆BCD?

    30

    32

    34

    40

    44

Question 3

In the figure above, WX = XY and points W, Y, and Z lie on the same line. What is the value of q?

Question 4

In square ABCE, AB = 4.

Quantity A Quantity B
24 The perimeter of polygon ABCDE

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 5

In the figure above, what is the value of

      4

      6

      8

    10

    16

Question 6

The length of line segment AC is the length of line segment AB.

Quantity A Quantity B
BC 6

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 7

A ship captain sails 500 miles due south and then 1,200 miles due east.

Quantity A Quantity B
1,350 miles

The minimum number of miles the captain must sail to return to his original position

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 8

What is the area of the rectangle shown above?

      4

      6

      8

    10

    12

Question 9

In triangle ABC, side AB has a length of 12, and side BC has a length of 5.

Quantity A Quantity B
The length of side AC 7

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 10

A hiker left her tent and traveled due east for 5 miles, then traveled due south for 24 miles, then due east for 5 miles, arriving at a hut. What is the straight-line distance from her tent to the hut?

    13

    20

    26

    28

    29

Question 11

Two sides of a triangle are 4 and 8. Which of the following is a possible length of the third side of the triangle?

Indicate all such values.

      3

      4

      5

      6

      7

      8

    12

Question 12

Triangle ABC is not equilateral, and angle ABC = 60 degrees.

Quantity A Quantity B
The angle opposite the shortest side of the triangle 60 degrees

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 13

Quantity A Quantity B
a + b 200

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 14

John and James walk from point x to point z (shown in the figure above). John walks directly from x to y on Path a and then directly from y to z on Path b. James walks directly from x to z on Path c. If Path a is 13 miles long and Path b is 5 miles long, John walks about how many miles longer than James?

    2

    3

    4

    5

    6

Question 15

Quantity A Quantity B
BF 7

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.