SSAT Upper Level Math Practice Test Questions

E. \(-1\)

2- What is the slope of a line that is perpendicular to the line \(2x-4y=24\)?

A. \(-2\)

B. \(-\frac{1}{2}\)

C. 6

D. 12

E. 14

3- The width of a box is one-third of its length. The height of the box is one-half of its width. If the length of the box is \(24\) cm, what is the volume of the box?

A. \(91\) cm\(^3\)

B. \(172\) cm\(^3\)

C. \(254\) cm\(^3\)

D. \(768\) cm\(^3\)

E. \(2,990\) cm\(^3\)

4- A football team won exactly \(70\%\) of the games it played during the last session. Which of the following could be the total number of games the team played last season?

A. 59

B. 45

C. 72

D. 20

E. 11

5- The Jackson Library is ordering some bookshelves. If \(x\) is the number of bookshelves the library wants to order, which each costs \(\$200\) and there is a one-time delivery charge of \(\$600\), which of the following represents the total cost, in the dollar, per bookshelf?

A. \(\frac{200x+600}{x}\)

B. \(\frac{200x+600}{600}\)

C. \(200+600x\)

D. \(200x+600\)

E. \(200x-600\)

6- There are 14 marbles in bag A and \(18\) marbles in bag B. If the sum of the marbles in both bags will be shared equally between two children, how many marbles bag A has less than the marbles that each child will receive?

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A. 2

B. 3

C. 4

D. 5

E. 6

7- If Jason’s mark is F more than Alex’s, and Jason’s mark is \(18\), which of the following can be Alex’s mark?

A. \(18-F\)

B. \(F-18\)

C. \(\frac{F}{18}\)

D. \(18F\)

E. \(18+F\)

8- When number \(81,602\) is divided by \(240\), the result is closest to?

A. 4

B. 30

C. 200

D. 300

E. 340

9- The price of a sofa is decreased by \(50\%\) to \(\$530\). What was its original price?

A. \(\$580\)

B. \(\$620\)

C. \(\$760\)

D. \(\$900\)

E. \(\$1,060\)

10- If the perimeter of the following figure be \(33\), what is the value of \(x\)?

A. 3

B. 4

C. 6

D. 8

E. 11

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Answers:

2- A
The equation of a line in slope intercept form is: \(y=mx+b\), Solve for \(y\).
\(2x-4y=24⇒-4y=24-2x⇒y=(24-2x)÷(-4)⇒y=\frac{1}{2} x-6\)
The slope is \(\frac{1}{2}\). The slope of the line perpendicular to this line is:
\(m_{1}×m_{2}= -1⇒\frac{1}{2} ×m_{2}=-1⇒m_{2}=-2\)

3- D
If the length of the box is \(24\), then the width of the box is one-third of it, \(8\), and the height of the box is \(4\) (half of the width). The volume of the box is:
V\(=\)(length)(width)(height)\(=(24)(8)(4)=768\) cm\(^3\)

4- D
Choices A, B, C, and E are incorrect because \(70\%\) of each of the numbers is a non-whole number.
A.\(59, 70\%\) of \(59 = 0.70×59=41.3 \)
B.\(45, 70\%\) of \(45=0.70×45=31.5\)
C.\(72, 70\%\) of \(72=0.70×72=50.4\)
D.\(20, 70\%\) of \(20=0.70×20=14\)
E. \(11, 70\%\) of \(11=0.70×11=7.7\)

5- A
The amount of money for \(x\) bookshelf is: \( 200x\), Then, the total cost of all bookshelves is equal to: \(200x+600\), The total cost, in dollars, per bookshelf is: \(\frac{Total \ cost}{number \ of \ items}=\frac{200x+600}{x}\)

6- A
\(\frac{14+18}{2}=\frac{32}{2}=16\) Then, \(16-14=2\)

7- A
Alex’s mark is F less than Jason’s mark. Then, from the choices provided Alex’s mark can only be \(18-F\).

8- E
\(\frac{8160}{240}≅340.0083≅340\)

9- E
Let \(x\) be the original price. If the price of the sofa is decreased by \(50\%\) to \($530\), then: \(50\%\) of \(x=530 ⇒ 0.50x=530 ⇒ x=530÷0.50=1,060\)

10- E
Let’s review the choices provided:
A.\(x=3→\) The perimeter of the figure is: \(3+5+3+3+3=17≠33\)
B.\(x=4→\) The perimeter of the figure is: \(3+5+3+4+4=19≠33\)
C.\(x=6→\) The perimeter of the figure is: \(3+5+3+6+6=23≠33\)
D.\(x=8→\) The perimeter of the figure is: \(3+5+3+8+8=27≠33\)
E.\(x=11→\) The perimeter of the figure is: \(3+5+3+11+11=33=33\)

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