# Shsat Math Practice Test

250 Questions | Attempts: 1329  Settings  We welcome you to this fun SHSAT math practice test The Specialized High Schools Admissions Test (SHSAT) assesses knowledge and skills. These skills consist of the ability to use problem-solving skills in mathematics. The SHSATtest measures the knowledge and skills you have gained over the years. Keeping up with your schoolwork throughout the year is the best possible preparation. You should practice the SHSAT math problems 15 minutes per day, every day. Good Luck and have fun!

• 1.
Solve each problem. Select the best answer from the choices given. Important Notes:(1) Formulas and definitions of mathematical terms and symbols are not provided.(2) Diagrams other than graphs are not necessarily drawn to scale. Do not assume any relationship in a diagram unless it is specifically stated or can be figured out from the information given.(3) Assume that a diagram is in one plane unless the problem specifically states that it is not.(4) Graphs are drawn to scale. Unless stated otherwise, you can assume relationships according to appearance. For example, (on a graph) lines that appear to be parallel can be assumed to be parallel; likewise for concurrent lines, straight lines, collinear points, right angles, etc.(5) Reduce all fractions to lowest terms.
• 2.
If of P is 48, what is  of P?
• A.

12

• B.

15

• C.

20

• D.

36

• E.

60

• 3.
1 sind = 5.6 ricks1 sind = 12.88 daltsUsing the conversions above, how many dalts are equivalent to 1 rick?
• A.

0.43 dalts

• B.

2.3 dalts

• C.

7.28 dalts

• D.

18.48 dalts

• E.

72.128 dalts

• 4.
Jack scored a mean of 15 points per game in his first 3 basketball games. In his 4th game, he scored 27 points. What was Jack’s mean score for the 4 games?
• A.

15

• B.

16

• C.

17

• D.

18

• E.

21

• 5.
If = , what is the value of N?
• A.

10,000

• B.

100,000

• C.

1,000,000

• D.

100,000,000

• E.

1,000,000,000

• 6.
How many more people walk to work than ride their bicycles to work in Center City?
• A.

18

• B.

22

• C.

2,700

• D.

2,800

• E.

3,000

• 7.
Judy is n years older than Carmen and twice as old as Frances. If Frances is 15, how old is Carmen in terms of n?
• A.

30 +n

• B.

15 +n

• C.

15 +2n

• D.

15 -n

• E.

30 -n

• 8.
How many units is it from the midpoint of  to the midpoint of ?
• A.

2

• B.

4

• C.

6

• D.

8

• E.

10

• 9.
The figure above is drawn to scale. Which point best shows the location of (c + a, d + b)?
• A.

R

• B.

S

• C.

T

• D.

V

• E.

W

• 10.
• A.
• B.
• C.
• D.
• E.
• 11.
What is the greatest common factor of 2,205 and 3,675?
• A.

147

• B.

245

• C.

441

• D.

735

• E.

1,225

• 12.
In the equation above, what is the value of x?
• A.

78

• B.

88

• C.

100

• D.

122

• E.

123

• 13.
The set P consists of all prime numbers greater than 6 and less than 36. What is the median of the numbers in P?
• A.

17

• B.

17.75

• C.

18

• D.

18.75

• E.

19

• 14.
A pitcher contained 32 ounces of orange juice and 12 ounces of grapefruit juice. More grapefruit juice was added to the pitcher until grapefruit juice represented  of the pitcher’s contents. How many ounces of grapefruit juice were added?
• A.

2 oz

• B.

4 oz

• C.

8 oz

• D.

16 oz

• E.

44 oz

• 15.
DISTRIBUTION OF EYE AND HAIR COLOR FOR 64 CHILDRENHair color / Eye colorBrownBlueTotalBlond111829Black152035The table above shows the distribution of eye color and hair color for 64 children. How many of these children have blond hair or brown eyes, but not both?
• A.

22

• B.

33

• C.

44

• D.

53

• E.

55

• 16.
On a scale drawing, a distance of 1 foot is represented by a segment 0.25 inch in length. How long must a segment on the scale drawing be to represent a 36-inch distance?
• A.

0.25 in.

• B.

0.75 in.

• C.

4 in.

• D.

9 in.

• E.

144 in.

• 17.
There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth graders remains the same.)
• A.

6

• B.

7

• C.

8

• D.

10

• E.

27

• 18.
How many different two-digit numbers can be formed from the digits 7, 8, 9 if the numbers must be even and no digit can be repeated?
• A.

0

• B.

1

• C.

2

• D.

3

• E.

6

• 19.
The fuel mix for a small engine contains only 2 ingredients: gasoline and oil. If the mix requires 5 ounces of gasoline for every 6 ounces of oil, how many ounces of gasoline are needed to make 33 ounces of fuel mix?
• A.

3

• B.

6

• C.

15

• D.
• E.

165

• 20.
In the figure above, , , , and  are straight line segments. What is the value of x?
• A.

25

• B.

45

• C.

50

• D.

60

• E.

75

• 21.
A roofing contractor uses shingles at a rate of 3 bundles for each 96 square feet of roof covered. At this rate, how many bundles will he need to cover a roof that is 416 square feet?
• A.

5

• B.

12

• C.

13

• D.

14

• E.

15

• 22.
How many integers are between and  ?
• A.

3

• B.

4

• C.

5

• D.

10

• E.

15

• 23.
What is the prime factorization of 714?
• A.

2 • 357

• B.

2 • 3 • 119

• C.

2 • 7 • 51

• D.

6 • 7 • 17

• E.

2 • 3 • 7 • 17

• 24.
If R, S, and T are integers and R + S and T - S are both odd numbers, which of the following must be an even number?
• A.

R + T

• B.

S + T

• C.

R

• D.

S

• E.

T

• 25.
On the number line above, point (not shown) is the midpoint of and point (not shown) is the midpoint of . What is the length of ?
• A.

1 unit

• B.

2 units

• C.

2.5 units

• D.

3 units

• E.

11 units

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