Deck 8: Comprehensive Examination: Mathematics

Question 1

Mary has 2 quarts of ice cream. She shares a half of a quart with her friend, Bill. How many pints does she have left?

A)1
B)2
C)3
D)4

Answer 1

3

Question 2

Is 40÷5>, =, or < 49÷7?

A)>
B)=
C)<
D)None of the above

Answer 2

>

Question 3

A point is reflected first over the line y = x, then over the x-axis, then over the y-axis. The resulting point has the coordinates (73, 14). The coordinates of the original point were which of the following?

A)(-14, -73)
B)(-73, 14)
C)(73, -14)
D)(73, 14)

Answer 3

(-14, -73)

Question 4

A: {3, 6, 7}
B: {2, 8}
What is the union of Set A and Set B?

A){2, 3, 6, 7, 8}
B){3, 6, 7}
C){2, 8}
D)None of the above

Question 5

What kind of triangle has 1 angle that is 90°?

A)A right triangle
B)An acute triangle
C)An obtuse triangle
D)A scalene triangle

Question 6

A radius of a circle is 3 cm. What is its area?

A)3)14 cm²
B)28.26 cm²
C)282.6 cm²
D)2)826 cm²

Question 7

Which of the following uses the doubling method of informal counting to solve the following:
3 + 4 =

A)(1 + 1 + 1) + (1 + 1 + 1 + 1) = 7
B)(3 + 4) + (3 + 4) - (3 + 4) = 7
C)3 + 4 = (3 + 3) +1 = 6 + 1 = 7
D)2 + 2 + 2 + 1 = 7

Question 8

Which of the following is a prime number?

A)50
B)25
C)23
D)6

Question 9

Round 567.342 to the nearest hundredth. What is the answer?

A)600
B)560
C)567.34
D)567.3

Question 10

If y = 2x + 1, what is the arithmetic mean of 2x, 2x, y, and 3y, in terms of x?

A)2x
B)2x + 1
C)3 x + 1
D)None of the above

Question 11

If x, y, and z are integers with x?y and y>z, which of the following could x, y, and z represent (respectively)?

A)-3, -2, -3
B)3, 2, 3
C)1, 2, 3
D)3, 2, 1

Question 12

Olivia is writing a recipe for orange-colored fruit salad. She uses 4 apricots for every cantaloupe, 2 peaches for every apricot, and one orange for every cantaloupe. If she uses 8 oranges, how many whole pieces of fruit total will be used for the fruit salad?

A)212
B)232
C)112
D)132

Question 13

According to the US Standard system, which of the following would be used to measure the volume of water in a bath tub?

A)Gallons
B)Liters
C)Cups
D)Meters

Question 14

Identify the pattern in the following set of numbers:
2, 5, 8, 11, 14, 17

A)There is no pattern.
B)The set starts with 2 and ends in 17.
C)The set starts with 2 and jumps 3 each time.
D)The set starts with 2 and jumps 2 each time.

Question 15

Solve: 5²

A)625
B)10
C)25
D)125

Question 16

Which property is the following equation an example of?
9 x 1/9 = 9

A)The distributive property
B)The multiplicative inverse property
C)Associative property
D)Additive inverse property

Question 17

What is 1 ½ as a simple fraction in lowest terms?

A)1/2
B)2/3
C)3/2
D)1)5

Question 18

Tim ate 8/10 of a pizza. State the fraction for the amount of pizza that was left over in its simplest form.

A)2/10
B)4/5
C)1/8
D)1/5

Question 19

Fill in the blank: The right-hand column shown in the table below lists _______ for the indefinite integral F(x).
F'(x) = f (x) F(x) = f(x)dx
1/x Log | x |
Sin x -cos x
Cos x Sin x

A)Derivatives
B)Elementary functions
C)Elementary integrals
D)None of the above

Question 20

What percentage is ¼?

A)20%
B)25%
C)50%
D)4%

Question 21

Sally, Nick, Bobby, and Kenny are standing in a line. How many different ways can they be ordered?

A)8
B)16
C)24
D)32

Question 22

What is the perimeter of a rectangle that has 2 sides measuring 4 cm and 2sides measuring 6 cm?

A)24 cm
B)10 cm
C)12 cm
D)20 cm