SHSAT MATH PRACTICE WORKSHEET FREE

(1)  (3 + 4)² =

(A)  13  (B)  14  (C)  19  (D)  25  (E)  49

Solution

(2)  The exact value of √49 - √24 is

(A)  2  (B)  between 2 and 5  (C)  5 (D)  more than 5

(E)  The expression does not have an exact value.

Solution

(3)  200% of 7 is

(A)  .14  (B)  7  (C)  14  (D)  21  (E)  1,400

Solution

(4)  

(All line segments are either horizontal or vertical, as shown.)  The perimeter of the         figure is

(A)  5  (B)  6  (C)  7  (D)  12  (E)  14

Solution

(5)  What is the value of N if (1/5) – (1/6) = 1/N?

(A)  7  (B)  30  (C)  1/30  (D)  -30  (E)  -1/30

Solution

(6)  Find the value of (2⁴ – 4²) + (2³ – 3²)

(A)  -11  (B)  -8  (C)  -1  (D)  0  (E)  1

Solution

(7)

On the number line shown, Q (not shown) is the midpoint of PR.  What is the midpoint of QS?

(A)  -5  (B)  -4  (C)  0  (D)  1  (E)  8

Solution

(8)  The ratio of boys to girls at a dance was 2 to 3.  If 45 girls attended, what is the number of boys who attended?

(A)  9  (B)  18  (C)  27  (D)  30  (E)  45

Solution

(9)  If the measure of angle A is 40°, then x + y =

(A)  80°  (B)  120°  (C)  180°  (D)  220°  (E)  360°

Solution

(10)  If 6x is increased by 4y, and the sum is divided by 2, the result is equivalent to

(A)  3x + 4y  (B)  6x + 2y  (C)  3x + 2y

(D)  (10x + y)/2  (E)  5(x +y)

Solution

(11)  If a * b means a^b, then 2*(3*2) is

(A)  512  (B)  256  (C)  81  (D)  64  (E) 12

Solution

(12)  Let n be an integer from 9 to 38.  For how many values of n will n/5 be a prime?

(A)  3  (B)  4  (C)  6  (D)  8  (E)  29

Solution

(13)  |2 – 8| - |7 – 3| =

(A)  -10  (B)  -2  (C)  2  (D)  10  (E)  none of these

Solution

(14)  Mary is m years old now.  Joe is 3 years younger than Mary.  Express Joe’s age 10 years from now in terms of m.

(A)  13 - m  (B)  m - 3  (C)  m + 7 

(D)  m + 10  (E)  m + 13

Solution

(15)  The smaller angle between the hands of a clock at 10:00 is

(A)  15°  (B)  30°  (C)  45°  (D)  60°  (E)  75°

Solution

(16)  Find the smallest positive integer that is a multiple of both 21 and 77.

(A)  7  (B)  33  (C)  98  (D)  231  (E)  1,617

Solution

(17)

Over which interval was the growth in the value of the stock of the ABC Company most rapid?

(A)  March to April  (B)  April to May  (C)  May to June

(D)  June to July  (E)  July to August

Solution

(18)  Express the sum of 1.2 x 10² and 1.2 x 10³ in scientific notation.

(A)  0.144 x 10⁸  (B)  1.32 x 10³  (C)  1.44 x 10⁵ 

(D)  2.4 x 10⁵  (E)  2.4 x 10⁶

Solution

(19)  Today is Saturday.  What day of the week will it be 65 days from today?

(A)  Sunday  (B)  Monday  (C)  Tuesday 

(D)  Wednesday  (E)  Thursday

Solution

(20)  

The circles are  “tangent” to the rectangle and to each other, as shown.  If the area of each circle is 16π, then the area of the rectangle is

(A)  32  (B)  48  (C)  96  (D)  128  (E)  512

Solution

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