SSAT Middle Level TEST 1
Section 2 – Math
25 Questions – 30 Minutes
! ! !
USE THIS SPACE FOR FIGURING
1. If 300 + 700 − ∎ = 840, then ∎ =
(A) 60
(B) 84
(C) 120
(D) 160
(E) 260
! ! !
2. Which of the following statements is false?
(A) 5×1=5
(B) 5+1=6
(C) 5×0=5
(D) 5−5=0
(E) 5÷5=1
! ! !
3. If 7 × 4#× N × 1 =!0, then N =
(A) 28#
1
(B)
11
1
(C)
28
(D) 0#
(E) −28
! ! !
!
4. If all sides of the polygon shown in Figure 1 are
3 inches long, what is the perimeter, in inches, of
the polygon?
(A) 12
(B) 15
(C) 18
(D) 21
(E) 24 Figure 1
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
5. Figure 2 shows ten triangles. The shaded triangles
represent what fraction of all triangles shown?
!!
(A) !
!"
!
(B)
!
!
(C) !10
!
!
(D)
!
!10
!! Figure 2
(E) !10
!"
!
! ! !
6. Children from a kindergarten class tossed the
same number of marbles into a bucket. If the total
number of marbles tossed into the bucket was 48,
which of the following could NOT have been the
number of marbles each child tossed into the
bucket?
(A) 12
(B) 9
(C) 8
(D) 6
(E) 2
!
! ! !
7. If N is and odd number, which of the following is
also an odd number?
(A) N+3
(B) 3N
(C) 2N + 2
(D) 3(N + 1)
(E) 2(N + 1)
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
8. What is the area, in square units, of the shaded
region shown in Figure 3? !
6
(A) 18.5 5
(B) 18.0 4
(C) 17.5 3
(D) 17.0 2
(E) 16.5 1
1 2 3 4 5 6 7 8 9 10 11 12
Figure 3
! ! !
!
9. Each of the following fractions is smaller than
!
EXCEPT
!
(A)
!"
!
!"
(B)
!""
!
(C)
!"
!10
!
(D)
!"
!10
!
(E)
!"
!10
! ! !
10. N is a whole number between 10 and 14 and
between 1 and 12. Which of the following could
be N ?
(A) 10
(B) 10.75
(C) 11
(D) 11.25
(E) 12
! ! !
11. Which number is closest to 4.99?
(A) 5.03
(B) 5.3
(C) 4.33
(D) 5.1
(E) 4.9
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
12. Traveling only along the edges of the cube shown
in Figure 4, which is the shortest path? E F
(A) from E to C, through F B C
(B) from C to E, through A
(C) from F to A, through C G
(D) from D to E, through A
A D
(E) from A to B, through D
! Figure 4
!
! ! !
! !
13. If ! =! , then ! =
! !"
(A) 9
(B) 10
(C) 12
(D) 18
(E) 21
!
! ! !
!
14. If of a number is less than 10, the number must
!
be
(A) 10
(B) 20
(C) greater than 20
(D) less than 20
(E) less than 10
! ! !
15. The cylinder shown on the left in Figure 5 has no
top and no bottom. If the surface of the cylinder
were cut vertically along the dotted line and then
opened and flattened, the resulting two-
dimensional area would be
(A) a circle ?
(B) a triangle
(C) a rectangle
(D) a pentagon
(E) an oval Figure 5
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
16. For what price is a $40 discount the same as 50%
off?
(A) $200
(B) $80
(C) $50
(D) $40
(E) $20
! ! !
17. Al has m marbles. Barbara has 10 more marbles
than Al. If Barbara gives Al 15 marbles, how
many marbles will Barbara have, in terms of m?
(A) m + 25
(B) m+5
(C) m−5
(D) m − 10
(E) 2(m – 5)
! ! !
18. If O is the center of the circle shown in Figure 6,
what is the value of x?
x°
(A) 30
(B) 45
(C) 50 O
(D) 60 O
(E) It cannot be determined based on the
information provided.
! Figure 6
!
! ! !
!
19. If ! ↔ ! = , which of the following is NOT a
!
whole number?
(A) 4↔4
(B) 4↔2
(C) 2↔4
(D) 15 ↔ 3
(E) 20 ↔ 4
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
Questions 20-21 refer to Figure 7.
!
20. How many more sales did The Chocolate THE CHOCOLATE COMPANY
Company make in February than in January?
Each represents 1,000 sales.
(A) 2,800
(B) 3,200 Each represents 200 sales.
(C) 5,400 !
(D) 5,700
(E) 6,600 December
January
21. For The Chocolate Company, the number of
sales in December was how many times the February
number of sales in March?
(A) 8 March
(B) 7
(C) 6 !
(D) 5 Figure 7
(E) 4
! ! !
22. If 3 + A + B = 10 and B is less than 2, then A
could be
(A) 6
(B) 5
(C) 3
(D) 0
(E) −1
!
! ! !
23. At the end of the 1st quarter of a basketball game,
Sarah’s team is losing by 13 points. In order to
win the game, Sarah’s team must outscore the
opponent by at least how many points per
quarter, on average, for each of the remaining 3
quarters of the basketball game?
(A) 4.66
(B) 4.33
(C) 4.00
(D) 3.66
(E) 3.33
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
24. Which of following numbers can be written in the
2
form N + 2, where N is an integer?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 19
! ! !
25. Which of the following would yield the best
estimate of 1.98 × 102
(A) 1 × 100
(B) 1 × 102
(C) 2 × 100
(D) 2 × 105
(E) 2 × 120
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SSAT Middle Level TEST 1
Section 4 – Math
25 Questions – 30 Minutes
! ! !
USE THIS SPACE FOR FIGURING
1. 2,400 – 335 =
(A) 2,035
(B) 2,055
(C) 2,065
(D) 2,155
(E) 2,165
! ! !
2. If N = −5, then 2 more than twice N is equal to
(A) −14
(B) −12
(C) −8
(D) −6
(E) 12
! ! !
3. If the perimeter of the polygon shown in Figure 1 b
is 28, what is the value of a + b + c ?
c 4
(A) 12
(B) 14
(C) 16 4 4
(D) 18
(E) It cannot be determined based on the a
information provided.
Figure 1
! ! !
!
4. The product of 2 and a number is 22. What is the
sum of the number and 2?
(A) 13
(B) 20
(C) 24
(D) 44
(E) 88
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
5. According to the data represented in Figure 2,
Mark’s average hourly wage for the 5 years 10!
Mark's Hourly
included in the graph was 9!
Wage ($)
8!
(A) $7.00 7!
(B) $7.30 6!
(C) $7.60 5!
(D) $8.20 2002! 2003! 2004! 2005! 2006!
(E) $8.40 !
Figure 2
!
! ! !
6. If 3 × N × 7 =#3, then N =
(A) 1
(B) !
!
(C) !
!
(D) 0
(E) −1
!
! ! !
!!!!!!!!!!!!!
7. !=
!!!!!!!!!!!!!
(A) !
!
(B) !
!
(C) !
!"
(D) !!
!"
(E) !
!
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
8. According to the circle graph in Figure 3, how
many pens does Walter have? ! Walter’s 20 Writing Instruments
(A) 4
(B) 5 Pens
(C) 6
(D) 10 Pencils
(E) 15 Markers
Figure 3
! ! !
9. The air temperature at midnight was 6° below
zero. If the air temperature increased 14° by
noon, what was the air temperature at noon?
(A) 20° below zero
(B) 14° below zero
(C) 6° above zero
(D) 8° above zero
(E) 20° above zero
! ! !
10. Min had 13 different dolls in her collection.
Min’s grandmother gave her 5 new dolls for her
10th birthday. Unfortunately, 2 were dolls that
Min already had. How many different dolls did
Min have in her collection after her
grandmother’s gift?
(A) 13
(B) 15
(C) 16
(D) 18
(E) 20
! ! !
11. Of the following, which is closest to 20% of
$12.85?
(A) $2.50
(B) $2.55
(C) $2.70
(D) $2.75
(E) $2.90
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
Questions 12-14 refer to the following definition.
For all real numbers a and b, let
a ↔ b = (a + b) ∙ (a – b). For example,
5 ↔ 2 = (5 + 2) ∙ (5 – 2) = (7) ∙ (3) = 21
12. 7 ↔ 4 =
(A) 11
(B) 14
(C) 28
(D) 33
(E) 47
!
13. If N ↔ 2 = 12, then N =
(A) 6
(B) 4
(C) 3
(D) 2
(E) 0
!
14. If a = b, which of the following must be true
I. a↔b=b↔a
II. b↔a=0
III. 2a ↔ b = a ↔ 2b
(A) I only
(B) II only
(C) I and III only
(D) I and II only
(E) I, II, and III
! ! !
15. If the average of 5 consecutive whole numbers is
11, what is the smallest number?
(A) 7
(B) 9
(C) 10
(D) 10.5
(E) 11
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
16. Which of the following shapes CANNOT be
made using the two shapes shown in Figure 4?
(A) (D)
(B) (E)
Figure 4
(C)
!
! ! !
! !
17. If N = 4, then N=
! !
(A) 8
(B) 6
(C) 4
(D) 2
(E) 1
! ! !
18. Tawana has exactly three times as many erasers
as pencil sharpeners. Which of the following
could be the number of erasers that Tawana has?
(A) 41
(B) 42
(C) 43
(D) 44
(E) 46
!
! ! !
!
19. If 0.78 is approximately equal to , then ! is
!"
closest to which of the following
(A) 0.8
(B) 1.2
(C) 1.6
(D) 8
(E) 16
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
20. In Figure 5, point A (not shown) is located on the
circumference of the small circle with center O !
and radius 5, and point B (also not shown) is 10
located on the circumference of the large circle
with center O and radius 10. What is the greatest 5
straight-line distance between points A and B?
O
(A) 5
(B) 7.5
(C) 10
(D) 12.5
(E) 15 Figure 5
! ! !
!
21. Bart read of a book in 45 minutes on a given
!
day. He wants to finish the book by 8:15 p.m.
the next day. If Bart always reads at the same
rate, what is the latest he can begin reading on
the day he wants to finish the book?
(A) 6:15 p.m.
(B) 6:30 p.m.
(C) 6:45 p.m.
(D) 7:00 p.m.
(E) 7:15 p.m.
! ! !
22. The intersection of two distinct planes is always
(A) a line
(B) a point
(C) a square
(D) a circle
(E) a triangle
! ! !
23. When 16 is divided by N, the remainder is 1.
How many different values could N be?
(A) 0
(B) 1
(C) 2
(D) 3
(E) more than 3
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SSAT Middle Level TEST 1
! ! !
USE THIS SPACE FOR FIGURING
24. Figure 6 shows a piece of graph paper with a
smiley face drawn on it. If the paper were folded !
A
along the dotted line, the eye labeled A would
touch which of the other points shown?
(A) B B
(B) C C E
(C) D D F
(D) E F
(E) F
Figure 6
!
! ! !
25. In 2005, 2.6 million people watched the season
finale of a certain television show. This number
was 350,000 more than the number of people
who watched the season finale of the same show
in 2004. How many people watched the show’s
season finale in 2004?
(A) 2,950,000
(B) 2,350,000
(C) 2,250,000
(D) 2,150,000
(E) 1,950,000
STOP
IF YOU FINISH WITH TIME REMAINING,
YOU MAY GO BACK AND CHECK YOUR WORK ON
THIS SECTION ONLY.
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