SSAT Upper Level Math FREE Sample Practice Questions

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\(^3\) For additional educational resources, .

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 \(11=0.70×11=7.7\) For additional educational resources, .

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 dollar, per bookshelf is: \(\frac{Total \ cost}{number \ of \ items}=\frac{200x+600}{x}\) For additional educational resources, .

6- A
\(\frac{14+18}{2}=\frac{32}{2}=16\) Then, \(16-14=2\) For additional educational resources, .

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

8- E
\(\frac{8160}{240}≅340.0083≅340\) For additional educational resources, .

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

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: \(3+5+3+11+11=33=33\) For additional educational resources, .

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