potpourri number & operations algebra & functions geometry & measurement statistics...

SAT Prep

PotpourriNumber & Operations

Algebra & Functions

Geometry & Measurement

Statistics & Probability

200

400

600

800

1000

800

600

400

200

1000 1000

800

600

400

200

1000

800

600

400

200

1000

800

600

400

200

Number & Operations– 200 Points

QUESTION:

• The total cost of 3 equally priced mechanical pencils is $4.50. If the cost per pencil is increased by $0.50, how much will 5 of these pencils cost at the new rate?

• A.) $7.50• B.) $8.00• C.) $9.00• D.) $9.50• E.) $10.00

ANSWER:

• E


QUESTION:• A machine mints coins at the rate of one coin per

second. If it does this for 10 hours each day, approximately how many days will it take the machine to mint 360,000 coins?

• A. 10• B. 100• C. 1,000• D. 10,000• E. 100,000

ANSWER:

• A


QUESTION:

• The first term of a sequence is 20 and the second term is 8. The third term and each term thereafter is the average (arithmetic mean) of the two terms immediately preceding it. What is the value of the first term in the sequence that is NOT an integer?

ANSWER:

• 12.5


QUESTION:

• In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2. How many pounds of cashews will there be in 4 pounds of this mixture?

ANSWER:

• 8/7

Number & Operations– 1000 Pts

QUESTION:

• How many integers greater than 20 and less than 30 are each the product of exactly two DIFFERENT numbers, both of which are prime?

• A. Zero• B. One• C. Two• D. Three• E. Four

ANSWER:

• D

Algebra & Functions– 200 Points

QUESTION:

• If 2(x - 3) = 7, what is the value of x?

ANSWER:

• 6.5


QUESTION:

• If x is 1/5 of y, y is 3/10 of z, and z > 0, then x is what fraction of z?

ANSWER:

• 0.06 or 3/50


QUESTION:

• If x and y are positive integers and =, then what is x in terms of y?

• A. y – 2• B. y – 1• C. y • D. y + 1• E. y + 2

ANSWER:

• A

Algebra & Functions–800 Points

QUESTION:

• If 2x + z = 2y and 2x + 2y + z = 20, what is the value of y?

• A. 5• B. 8• C. 10• D. 15• E. It cannot be determined from the information

given.

ANSWER:

• A


QUESTION:

• If k and h are constants and is equivalent to (x + 1)(x + h), what is the value of k?

• A. 0• B. 1• C. 7• D. 8• E. It cannot be determined from the info given

ANSWER:

• D

Geometry & Measurement– 200 Pts

QUESTION:

• Point P lies on the line with equation y – 4 = 3(x – 2). If the x-coordinate of P is 4, what is the y-coordinate of P?

ANSWER:

• 10

Geometry & Measurement– 400 Pts

QUESTION:• If the degree measures of the angels of a triangle are in

the ratio 2:3:4, by how many degrees does the measure of the largest angle exceed the measure of the smallest angle?

• A. 20˚• B. 30˚• C. 40˚• D. 50˚• E. 60˚

ANSWER:

• C

Geometry & Measurement– 600 Points

QUESTION:

• How many more degrees of arc are there in ¼ of a circle than in 1/5 or a circle?

• A. 9˚• B. 18˚• C. 24˚• D. 30˚• E. 36˚

ANSWER:

• B

Geometry & Measurement– DAILY DOUBLE!!!

QUESTION:

• In the figure above, if l is parallel to m, what does z equal in terms of x and y?

A. x + yB. x – yC. 180 – xD. 180 – x + yE. 180 – x – y

ANSWER:

• E

lm

x z

y

Geometry & Measurement– 1000 Points

QUESTION: • In the figure(not drawn to scale), if the legs of triangle

ABC are parallel to the axes, which of the following could be the lengths of the sides of the triangle ABC?

• A. 2, 5, and B (4, 10)• B. 2, 5, and 7• C. 3, 3, and 3• D. 3, 4, and 5 • E. 4, 5, and A C

ANSWER:

• A

Statistics & Probability– 200 Points

QUESTION:• A clerk accidentally threw a valuable document into one

of 90 trash cans. It is equally likely that the document is in any of these 90 trash cans. If exactly 15 of these 90 trash cans are blue, what is the probability that the document will be in a blue trash can?

• A. ¼• B. 1/5• C. 1/6• D. 1/15• E. 1/90

ANSWER:

• C

Statistics & Probability– 400 PointsQUESTION:

• At Maple Creek High School, some members of the chess club are on the swim team and no members of the swim team are tenth graders. Which of the following must also be true?

• A. No members of the chess club are 10th graders• B. Some members of the chess club are 10th

graders. • C. Some members of the chess club are not10th

graders.• D. More 10th graders are on the swim team than

are in the chess club.• E. More 10th graders are in the chess club than are

on the swim team.ANSWER:

• C

Statistics & Probability– 600 PointsQUESTION:

• The scores on Tuesday’s history test for 16 students are shown in the table. Sam, who was the only student absent on Tuesday, will take the test next week. If Sam receives a score of 95 on the test, what will be the median score for the test?

• A. 90• B. 87.5• C. 85• D. 82.5• E. 80

ANSWER:• C

Score # of Students

100 1

95 2

90 4

85 1

80 3

75 2

70 2

65 0

60 1


QUESTION:

• In a set of 11 different numbers, which of the following CANNOT affect the value of the median?

• A. Doubling each number• B. Increasing each number by 10• C. Increasing the smallest number only• D. Decreasing the largest number only• E. Increasing the largest number only

ANSWER:

• E


QUESTION:• The table shows student enrollment at

Weston High School from 1992 through 1996. If the median enrollment for the 5 years 1351, and no two years had the same enrollment, what is the greatest possible value of x?

ANSWER:

• 1350

Year # of Students Enrolled

1992 X

1993 1552

1994 1238

1995 1459

1996 1351

Potpourri– 200 Points

QUESTION:• The Martins’ refrigerator is broken and it will cost $300 to fix it.

A new energy-efficient refrigerator, costing $900, will save the Martins $15 per month on their electric bill. If they buy the new refrigerator, in x months the Martins will have saved an amount equal to the difference between the cost of the new refrigerator and the cost of fixing the old one. What is the value of x?

• A. 20• B. 25• C. 36• D. 40• E. 60

ANSWER:• D


QUESTION:• If k is a positive integer, let be defined as the set of all

multiples of k. All of the numbers in which of the following sets are also in all three of the sets

• A. • B. • C. • D. • E.

ANSWER:

• E


QUESTION:• The rate for a telephone call between city A and city B is

50 cents for the first minute and 30 cents for each additional minute or portion thereof. Which of the following functions describes the cost, in dollars, of a phone call between these two cities that lasts for n minutes, if n is a positive integer?• A. f(n) = 0.80n• B. f(n) = 0.50 + 0.30n• C. f(n) = 0.50 + 0.30(n + 1)• D. f(n) = 0.50 + 0.30(n – 1)• E. f(n) = 0.50n + 0.30(n – 1)

ANSWER:

• D


QUESTION:• If for positive integers n and k, what is the value of k?

• A. 1• B. 5• C. 24• D. 25• E. 26

ANSWER:

• C


QUESTION:• If k is a positive integer, which of the following must

represent an even integer that is twice the value of an odd integer?• A. 2k• B. 2k + 3• C. 2k + 4• D. 4k + 1• E. 4k + 2

ANSWER:

• E

Final Jeopardy- Algebra & Functions

QUESTION:• Let the function f be defined by f(x) = 2x – 1.

If ½ f( = 4, what is the value of t ?

ANSWER:

• 81/4

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