GRID-IN QUESTIONS

QUESTIONS 58–62
DIRECTIONS: Solve each problem. On the answer sheet, write your answer in the boxes at the top
of the grid. start on the left side of each grid. Print only one number or symbol in each box. Under
each box, fill in the circle that matches the number or symbol you wrote above.
• Do not fill in a circle under an unused box.
• Do not leave a box blank in the middle of an answer.

58. For every 65 milligrams of milk, Jeremy 61. B C

pours 39 milligrams of cereal. If Jeremy
uses 8 grams of milk, how many more —
6 —
4 —
2 0 2 4 6
milligrams of milk did Jeremy use than
cereal? Point B is the midpoint of AC (point A is not
shown). What is the midpoint of segment AB?
3,200
—
6

—
2(—3)2 – 5(—3) + 27
59. =
—
3 62. Jeff had a mean of 3 hits during his first 4
baseball games. In his 5th game, he had
0 hits. What was his final mean after the 5
—
8 games?

2.4
xy 4
60.
x2y3
What is the value of the expression above if
x = — 3 and y = 3?

—
1

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 MULTIPLE CHOICE QUESTIONS
QUESTIONS 63–114
DIRECTIONS: Solve each problem. Select the best answer from the choices given. Mark the letter of your
answer on the answer sheet. When you are solving problems, you can write in the test booklet or on the
scrap paper given to you.

1 65. Harris owes a total of $1,305 to a bank. He

63. A jogger ran for 1 2 miles from her house completely used his paycheck, and nothing
and briefly stopped to tie her shoes, before else, to spend $2,918 on furniture and pay off
1 all of his debt. How much did Harris earn on his
continuing for another 2 4 miles to get to the paycheck?
park. After a short rest, she returned home A. $1,613
using the same route, stopping for a drink of B. $1,713
1 C. $2,918
water after running for 2 3 miles. How many D. $4,223
miles does the jogger have left before arriving

back home? 66. What is the least common multiple of x and y?

5 x=3×4×5×6
A. 1 12 y = 7 × 8 × 9 × 10
2 E. 2×3×5×7
B. 1 3
F. 24 × 32 × 5
1 G. 23 × 32 × 5 × 7
C. 12 H. 24 × 32 × 5 × 7
3
D. 3 4
67. The radius of a circle is four times the length
of one side of an equilateral triangle. If the
64. Which graph represents the solution to the perimeter of the equilateral triangle is 54 units,
inequality 2x + 4 ≥ 2? what is the circumference of the circle?
—
4 —3 —2 —1 0 1 2 3 4 5 6 7 A. 18
E.
B. 72
C. 36π
—
4 —3 —2 —1 0 1 2 3 4 5 6 7 D. 144π
F.

—
4 —3 —2 —1 0 1 2 3 4 5 6 7 68. A movie theatre usually has 3 times as many
G. customers on a Friday as on a Thursday, and
twice as many customers on a Saturday as
—
4 —3 —2 —1 0 1 2 3 4 5 6 7 a Friday. If the theatre has a total of 5,640
H.
customers from Thursday through Saturday,
how many customers were at the theatre on
Thursday?

E. 94
F. 188
G. 564
H. 1,692

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69. School Preferences 72. A rectangular bin 20 in by 6 in by 6 in is being

filled with water using a cylindrical container

4
Stuyvesant with a radius of 3 in and a height of in.
π
45%
How many full containers are needed to fill the
Bronx
Science whole bin?
20%
Brooklyn E. 6
Others Tech F. 12
17% 18% G. 20
H. 36

The chart above represents specialized high 73. In the set of integers from — 6 to 13, there are
schools preferred by 1,100 students. How the same amount of
many students do not prefer Stuyvesant?
A. positive and negative integers
A. 165 B. odd and even integers
B. 225 C. even integers and integers with positive or
C. 495 negative quotients when divided by 2
D. 605 D. prime and composite integers

70. A bag contains 20 marbles, 6 of which are 74. Three vases weigh the same as two jars. If
red. Peter takes out 4 marbles from the bag, four jars weigh the same as five bowls, what is
2 of which are red. What is the probability of the ratio of the weight of a vase to a bowl?
selecting a red marble if he takes out one more
marble from the bag? 3
E.
5
1
E. 4
18 F.
5
1
F. 6
5 G.
5
1
G. 5
4 H.
6
3
H.
8
75. A road trip takes 6 hours if the mean speed is
45 miles per hour. How many hours would this
71. If 3x – 1 < 14, which of the following is a trip take if the mean speed was 30 miles per
possible value of x? hour?
A. 4 A. 5
B. 5 B. 8
C. 6 C. 9
D. 7 D. 15

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76. 80. The price of breakfast dropped from $2.50 to
$2.25. What was the percent decrease in the
x° price?

2x +10° E. 1%
F. 10%
G. 11.11%
H. 25%

81.
70°
STUDENT REPLIES TO “DID YOU DO YOUR
HOMEWORK?”
Find the degree measurement of x.
“yes” “no” “yes but dog ate it”
E. 10° Class A 20 4 6
F. 20°
Class B 30 0 0
G. 30°
H. 70° Class C 10 10 10
Class D 5 20 5

1 2 6 2 1 3 If a random student is picked from each of the

77. 3 · ( – 1 4 13 1 3 – 8 – 2) =
8 3
classes in the table above, which class is most
A. 1.0 likely to pick a student who answered that they
B. 3.0 did not do their homework?
C. 9.0
D. 13.5 A. A
B. B
C. C
78. 120 + 2x = 450 D. D

Find the value of 102 + 2x

82. Emily has a 160-page novel that she wants
E. 18 1
F. 116 to read. On the first day, she reads of the
5
G. 165 1
pages in the morning and of the remaining
H. 432 4
pages at night. How many pages will she still

79. Claire is writing 2 books for a short series and need to read after her first day of reading?
wants the series to have 3,600 words in all.
E. 8
Her first book is finished and has 940 words.
F. 32
Each page in the second book will contain 170
words. How many words will be on the last G. 64
page of her second book? H. 96

A. 11
B. 15 83. A triangle has a height 4 times as big as its
C. 16 base. If its area is 98 square inches, how long
D. 110 is its height?

A. 7 in
B. 28 in
C. 49 in
D. none of the above

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84. Grandpa gets up at a random time each night 87. Jamie is going to visit 2 apartments in New
at 2, 3, 4, or 5 AM and sleepwalks. What is York City, one with a view of the city and
the probability that grandpa will get up to one without. Jamie lives close to 4 of the 15
sleepwalk at 3 AM for 2 nights in a row? apartments with views, and she lives close to
3 of the 18 without views. If she is picking the
1 2 apartments to visit at random, what is the
E. 16 probability that both apartments Jamie select
1 are ones that she lives close to?
F. 4
1
1 A.
G. 5
2
1
3 B.
H. 9
5
1
C.
15
85. In a school supply store, there are 80 pens
in a box. Out of these pens, 25 pens are blue 2
D.
ink pens, and 30 pens have caps attached. 45
Additionally, 10 of the blue ink pens have
caps attached to them. How many of the pens 88. How many different place values can the
are not blue ink pens and don’t have caps number 2.39965 be rounded to such that it has
attached? a value of at least 2.4?

A. 15 E. 1
B. 20 F. 2
C. 35 G. 3
D. 55 H. 4

86. Set Y = {3, 5, 7, 11, 13, 17} 89. | 30 – 16| + x =

— —
4|—3+8|
—

Set Z = {19, 23, 29, 31, 37, 41)

Find the value of x
What is the difference in range between Set Y
A. —
26
and Set Z?
B. —
6
E. 8 C. 6
F. 14 D. 26
G. 22
H. 30
2
90. Hibbert can eat of a pizza pie in two hours.
3
How many pizza pies can he eat in three hours

and twenty minutes?

1
E.
5
9
F.
10
1
G. 1
3
1
H. 1
9

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91. A wildlife tracker was observing the population 94.
of deer over three consecutive days. On
Monday, the tracker counted 50 more deer
than on Tuesday. On Wednesday, the number
of deer counted was 30 fewer than the count
on Tuesday. If the total number of deer
counted on all three days was 200, how many
deer were counted on Monday? A circle with a radius of 4 cm is inscribed in a
square. Find the area of the shaded region.
A. 30
B. 60 E. 4–π
C. 110 F. 16 – 4π
D. 140 G. 32 – 8π
H. 64 – 16π
92. A plant’s population declined by 15%. If
no conservational efforts are made, it will 95. A power meter reads 5,000 kilowatts. It
suffer another decline by 20% of its current decreases by 40%, then increases by 10%,
population. What percent of the original and then decreases again by 20%. How many
population will remain if no conservational kilowatts does the meter read afterwards?
efforts are made?
A. 40
E. 3% B. 2,200
F. 17% C. 2,500
G. 65% D. 2,640
H. 68%

96. Joan had 16 Snickers bars and 12 Kit Kat bars.

93. She bought more Kit Kat bars and now 50% of
INGREDIENTS FOR 3 her candy stash is Kit Kat bars. How many Kit
SERVINGS OF OMELETTES Kat bars did she add?
Ingredients Ounces E. 4
1 F. 14
Eggs 7
2 G. 16
1 H. 20
Soy Sauce
4

The table shows the ounces of ingredients used 97. 2 of an integer is 8. What is 5 of that
3 6
to make 3 servings of omelettes. What is the integer?
unit rate for ounces of soy sauce per ounce of
egg? A. 3 1
5
1
B. 6 2
A.
30
5
1
B.
90 C. 10
8
C.
15 D. 12
15
D.
8

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98. A shoe lace manufacturer receives an order 101. 0.7088 – 0.2922
for 336 shoe laces. All laces come in either
black or white, and are either flat laces or What is the value of the expression above,
tube laces. Three-eighths of all the laces are written as an improper fraction?
white, a third of all the white laces are flat,
and five-eighths of all laces are tubed. What 4
A.
is the probability that a randomly selected 9
lace will be a flat black lace? 5
B.
12
2
E. 3 10
C.
24
1
F. 4 6
D.
13
3
G. 8 102. 2x – 3 – (4x – 6) =
5
H. 8 E. —
2x + 3
F. —
2x – 3
G. 6x – 3
99. Yusuf is 6 feet and 1 inch tall while Zak is 5 H. —
6x + 9
feet and 4 inches tall. Yusuf is taller than Zak
by how many yards?
103. Lena has a giant rectangular cookie
1 dough measuring 180 centimeters by 144
A. 4 centimeters. She plans to cut the dough into
3 square cookies of equal size, without any
B. 4 dough going to waste. What is the greatest
possible side length, in centimeters, of one
C. 7 of those square cookies?

A. 9
D. 9 B. 18
C. 36
100. 3x3 + 3x3 × 3y3 = D. 72

E. 18x3y3
104. Which of the following shows the fractions
F. 18x6y3
G. 3x3 + 3xy9 12 26 14
, , in order from least to greatest?
7 9 5
H. 3x3 + 9x3y3
14 26 12
E. , ,
5 9 7
14 12 26
F. , ,
5 7 9
12 26 14
G. , ,
7 9 5
12 14 26
H. , ,
7 5 9

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105. How many integers are between 879 and 110. Yusuf uses a collection of questions to put
1123 inclusive? together multiple exams. Each full exam
has 114 questions and anything less is a
A. 244 mini-test. If there are 409 questions in the
B. 245 collection, how many questions will be on the
C. 246 mini-test after Yusuf makes the maximum
D. 247 number of full exams?

E. 57
106. A corner of a square lies on the coordinates
F. 66
(3, 5). If the square has a side length of 6
G. 67
units, which of the following cannot be a
H. 68
coordinate of one of the other corners?

E. (— 3, 5)
111. All of the cars at a dealership are either
F. (3, — 1)
sports cars, luxury cars, or both. 21 of the
G. (6, 11)
cars are sports cars, 27 of the cars are
H. (9, 5)
luxury cars, and 13 of the cars are both.
How many cars are at this dealership?
107. The perimeter of square A is twice the
A. 35
perimeter of rectangle B. If the longer side
B. 40
of rectangle B is three times the length of its
C. 48
shorter side, what is the ratio of the length
D. 61
of one side of square A to the length of a
shorter side of rectangle B?
112. Rifat wants to spend time with two people
A. 2
during summer break. He can see Patt,
B. 3
Queenie, Sam, or Tobias. He is also
C. 4
considering seeing the same person twice.
D. 6
How many different ways can Rifat spend
time with his friends?
108. (5(7 + 8)) ÷ 15 – 3 =
E. 8
E. 0 F. 10
F. 2 G. 11
G. 5 H. 12
H. 3.25

109. At Khans Tutorial, there are 4,000 students.

Of these students, 1,000 are in the Common
Core programs, 2,250 are in the SHSAT
program, and the rest are in the SAT
program. What percentage of the total
students are enrolled in either the SHSAT
and SAT programs?

A. 72.25%
B. 75%
C. 78%
D. 81.25%

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113. Janine randomly chooses a dish from the

menu for lunch. The probability that she

2
picks a pasta dish is and the probability
5
3
that she picks a salad dish is . What is the
10
probability that Janine picks a pasta or salad

dish?

3
A.
25
1
B.
3
1
C.
2
7
D.
10

x
114. If – 5 = y – 5x – 5, find the value of y in
3
terms of x.

E. 8x

16x
F.
3
3x
G.
16
16x 1 10
H. 3

THIS IS THE END OF THE TEST.

IF TIME REMAINS, YOU SHOULD
CHECK YOUR ANSWERS. BE SURE
THAT THERE ARE NO STRAY MARKS,
PARTIALLY FILLED ANSWER CIRCLES,
OR INCOMPLETE ERASURES ON YOUR
ANSWER SHEET. ■

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