Mock Test 1b

25 Questions | By Edbooster | Last updated: Jan 10, 2013 | Total Attempts: 2105

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Dear Students:This test is the second part of the practice test 1 for UMTYMP. It contains 25 questions. You have 10 minutes to complete the whole test. Use your time wisely. No calculators are allowed. We wish you success!Propel Yourself!EdBooster

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Questions and Answers

1.

Each of the following ﬁgures has exactly twopairs of parallel sides EXCEPT a
- A.
  
  parallelogram
- B.
  
  rhombus
- C.
  
  Trapezoid
- D.
  
  square
2.

An acute angle is
- A.
  
  180 degrees
- B.
  
  greater than 90 degrees.
- C.
  
  90 degrees
- D.
  
  less than 90 degrees
3.

A straight angle is
- A.
  
  Exactly 180 degrees
- B.
  
  Between 90 and 180 degrees.
- C.
  
  90 degrees
- D.
  
  Less than 90 degrees
4.

In a triangle, angle A is 70 degrees and angle Bis 30 degrees. What is the measure of angle C?
- A.
  
  90 degrees
- B.
  
  70 degrees
- C.
  
  80 degrees
- D.
  
  100 degrees
5.

What is the difference in area between a squarewith a base of 4 feet and a circle with a diame-ter of 4 feet?
- A.
  
  16 − 2π square feet
- B.
  
  16 − 4π square feet
- C.
  
  8π − 16 square feet
- D.
  
  16π − 16 square feet
6.

The perimeter of a rectangle is 148 feet. Its twolongest sides add up to 86 feet. What is thelength of each of its two shortest sides?
- A.
  
  31 feet
- B.
  
  42 feet
- C.
  
  62 feet
- D.
  
  72 feet
7.

What is the perimeter of the polygon shownbelow?
- A.
  
  12
- B.
  
  16
- C.
  
  24
- D.
  
  32
8.

What is the measure of angle F in the followingdiagram?
- A.
  
  15 degrees
- B.
  
  45 degrees
- C.
  
  30 degrees
- D.
  
  90 degrees
9.

Which side of the right triangle shown below isthe shortest, if angle ACB is 46 degrees?
- A.
  
  AB
- B.
  
  AC
- C.
  
  BC
- D.
  
  All sides are equal
10.

In the ﬁgure below, angle POS measures 90degrees. What is the measure of angle ROQ?
- A.
  
  30 degrees
- B.
  
  45 degrees
- C.
  
  90 degrees
- D.
  
  180 degrees
11.

A rectangular tumbling mat for a gym class is 5feet wide and 7 feet long. What is the area ofthe mat?
- A.
  
  12 square feet
- B.
  
  22 square feet
- C.
  
  24 square feet
- D.
  
  35 square feet
12.

What is the area of the triangle shown below?
- A.
  
  6
- B.
  
  12
- C.
  
  16
- D.
  
  32
13.

Kristen has a 4-foot leash for her dog. She tiedthe leash to a stake in the ground so her dogwould have some room to wander while shewas working in the yard. What is the approxi-mate area that her dog can roam while tied tothe stake?

Discuss
- A.
  
  13 square feet
- B.
  
  16 square feet
- C.
  
  25 square feet
- D.
  
  50 square feet
14.

How many 12-inch square tiles are neededto tile the ﬂoor in a room that is 10 feetby 15 feet?
- A.
  
  150
- B.
  
  300
- C.
  
  144
- D.
  
  1800
15.
- A.
  
  11/40
- B.
  
  1 1/3
- C.
  
  1/10
- D.
  
  1 19/40
16.
- A.
  
  1/4
- B.
  
  5/8
- C.
  
  1/2
- D.
  
  11/4
17.

4 x 1/3 = ?
- A.
  
  1 1/3
- B.
  
  1 1/2
- C.
  
  2 1/4
- D.
  
  2 3/4
18.

For health reasons, Amir wants to drink eightglasses of water a day. He’s already had sixglasses. What fraction of eight glasses doesAmir have left to drink?
- A.
  
  1/8
- B.
  
  1/6
- C.
  
  1/4
- D.
  
  1/3
19.

Erin ran 6.45 miles on Monday, 5.9 miles onTuesday, and 6.75 miles on Wednesday. What isthe total number of miles Erin ran?
- A.
  
  19.1
- B.
  
  19.05
- C.
  
  17
- D.
  
  13.79
20.

0.97 is equal to
- A.
  
  97%
- B.
  
  9.7%
- C.
  
  0.97%
- D.
  
  0.097%
21.

300% =
- A.
  
  0.03
- B.
  
  0.3
- C.
  
  3.0
- D.
  
  30.0
22.

The population of Smithtown increases at arate of 3% annually. If the population is cur-rently 2,500, what will the population be at thesame time next year?
- A.
  
  2,530
- B.
  
  2,560
- C.
  
  2,575
- D.
  
  2,800
23.

When both seven and three are taken awayfrom a number the result is 31. What is thenumber?
- A.
  
  20
- B.
  
  36
- C.
  
  41
- D.
  
  55
24.

Lee can catch 10 ﬁsh in an hour and Charlescan catch ﬁve ﬁsh in two hours. How long willCharles have to ﬁsh in order to catch the samenumber of ﬁsh that Lee would catch in twohours?
- A.
  
  2 hours
- B.
  
  4 hours
- C.
  
  6 hours
- D.
  
  8 hours
25.

If x – 1 represents an odd number, which of thefollowing represents the next larger oddnumber?
- A.
  
  X - 3
- B.
  
  X
- C.
  
  X + 1
- D.
  
  X + 2

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