Download PSAT Math – Curriculum Section

PSAT Math – Curriculum Section
INDEX:
Date: _______
Start Time: _____ End Time: ______
Score: ____/ 24
1-11. Fill in the blanks with the correct definition from the word box below.
Even
Quotient
Composite
Percentage
Factorization
GCF
Ratio
LCM
Rational
Integer
Odd
Dividend
Proportion
Prime
1. The ____________________ of 45 and 15 is the positive integer 15.
2. A(n) ____________________ number is an integer that is not evenly divisible by two.
3. A(n) ____________________ is a relationship between four different quantities where the first ratio of two of the quantities is
equivalent to the second.
3
4. The prime ____________________ of the composite number 125 is 5 .
5. The ____________________ is an integer that is being divided by another integer known as the divisor (or factor). The result
of dividing the two integers is known as the ____________________.
6. A(n) ____________________ is a positive integer that has a positive factor other than itself and one.
7. An example of a(n) ____________________ would be the number of girls to the number of boys in a given classroom. The
“type” of quantity must be the same.
8. Any number that can be displayed as the quotient or fraction of two integers, where the integer in the denominator is not equal
to zero, is known as a(n) ____________________ number.
9. The ____________________ of two integers is the smallest possible ____________________ that can be divided by the two
initial integers with no remainders present.
10. The number 2 is the only ____________________ number that is also a(n) ____________________ number.
11. The ___________________ of any given quantity is represented by an integer, followed by the % sign.
12-13. Find the dividend, divisor, or quotient given a condition. (do not use a calculator)
12. Dividend = 20, Factor = ____________________, Quotient = 2
13. Prime dividend = ____________________, Prime divisor = ____________________, Quotient =
63
99
14-15. Evaluate the following mathematical expressions.
14. 3  5  2  14  7
PSAT_01A_M
15. 2 (14  10 )  4  (10  5 )
3
1
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INDEX:
PSAT Math – Curriculum Section
16-17. Use both methods discussed in the example sheets to find the prime factorization of the following composite
numbers.
16. 175
17. 112
18-19. Find the LCM and GCF of the following pairs of integers.
18. (30, 100)
19. (92, 160)
20-22. Solve each of the following proportions.
20.
3 x 3

10
5
21.
6
2

2 x 1 9
22.
3( x 3)
22

x
11
Word Problem (Do not use a calculator)
23. Maggie, the class president, decided to take a survey on which lunch entrée should be served in the cafeteria on Fridays.
After a week of surveying 200 students, her results are as follows: 52 for hamburgers, 18 for hotdogs, 70 for pizza, 36 for chicken
nuggets, and 24 for spaghetti. What percentage of students chose either hamburgers or pizza as their meal of choice for Friday?
How much bigger of a percentage is the students who chose either hamburgers or pizza than the students who chose either
hotdogs or spaghetti?
24. At a bowling alley, 225 people registered for the league that is starting up in the fall. 90 of these people are women and 135
are men. If the administrators of the league want all of the teams to have identical ratios of women to men with no people left out,
what is the maximum number of teams they can put together? And how many women and men will be on each team?
PSAT_01A_M
2
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PSAT Math – Test Prep Section
INDEX:
Date: _______
Solve each problem and decide which choice is the best
of those given. (You may use a calculator)
1.
2.
5.
A merchant raises the price of a $200 item by 30
percent. After finding that he cannot sell the item at
the new price, he discounts the heightened price by
15 percent. What is the final price of the item?
(A)
(B)
(C)
(D)
(E)
Which of the following integers is divisible by 6 ?
(A)
(B)
(C)
(D)
(E)
$225
$235
$240
$230
$221
6.
2,004
1,221
1,603
2,300
2,019
Which of the following are possible values for the
sum of four consecutive even integers?
I.
4
II.
0
III. 2
3C is divisible by both 3 and 13. If C is a integer,
what is the value of C ?
(A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
3
25
9
33
39
I only
II only
III only
I and III only
I and II only
14  ( 5  2 )  3  5  ( 6  1)
7.
3.
4.
Start Time: _______
End Time: _______
Score: ____/ 16
Time Goal – 20 minutes
16 Questions
6 8
4x 3
 , then b equals :
If  and
x 9
b
5
What is the value of the mathematical expression
above ?
(A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
31
45
42
38
27
A mixture of m & m’s contains brown, red, and
yellow candies in a 4:2:1 ratio, respectively. If the
mixture contains 12 brown m & m’s, what is the total
number of m & m’s in the mixture?
8.
25
30
37
40
43
15 is 75% of what number?
(A) 11
1
4
(B) 20
(A)
(B)
(C)
(D)
(E)
18
19
20
21
22
PSAT_01B_M
(C) 11
1
2
(D) 25
(E) 11
3
3
4
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is a Registered Trademark of MathWizard, Inc.
PSAT Math – Test Prep Section
INDEX:
9.
A group of people are equally sharing the monthly
rent of their apartment, which is $300. If an
additional person joined the group, each person
would owe $15 less. How many people were in the
group originally?
(A)
(B)
(C)
(D)
(E)
10.
13. Which of the following integers has 3 distinct prime
factors?
(A)
(B)
(C)
(D)
(E)
2
3
4
5
6
14. Barney’s ice cream shop has the following flavors in
its inventory: chocolate chip, raspberry, cookies
& cream, strawberry, vanilla, orange sherbet, mint
chocolate chip, and cookie dough. What percentage
of his inventory is comprised of non-fruit flavors?
In a classroom, the ratio of boys to the entire
class is 3:5. If there are 40 students total, how many
girls are there in that class?
(A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
20
19
21
15
16
(A)
(B)
(C)
(D)
(E)
12
16
18
24
30
(A)
(B)
(C)
(D)
(E)
5
105
145
215
385
PSAT_01B_M
3:4
4:5
2:5
1:3
2:3
16. Sixteen dogs are up for sale at a pet store. If all of
the dogs are either brown or black, all of the
following are possible ratios of brown dogs to black
dogs EXCEPT:
12. Which integer is the smallest positive dividend of
both 35 and 55, in which there is no resulting
remainder?
(A)
(B)
(C)
(D)
(E)
62.5
63
63.5
64
64.5
15. From numbers 1-19, the ratio of prime numbers to
composite numbers is exactly:
z
11. If
represents an integer, which of the following
6
CANNOT be the value of z ?
(A)
(B)
(C)
(D)
(E)
30
45
50
64
72
4
1:7
1:1
5:3
4:1
3:1
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