SSAT Upper Level Math Practice Test 4
Section 1 25 questions Total time for this section: 30 Minutes You may NOT use a calculator for this test.

1 
What is the value of the “\(6\)” in number \(745.652\)? 
(A) 
\(6\) ones 
(B) 
\(6\) tenth 
(C) 
\(6\) hundredths 
(D) 
\(6\) tens 
(E) 
\(6\) thousands 
2 
\(0.04 \ × \ 16.00 =\)? 
(A) 
\(0.64\) 
(B) 
\(0.064\) 
(C) 
\(6.4\) 
(D) 
\(60.4\) 
(E) 
\(60.04\) 
3 
Mary plans to buy a bracelet for every one of her \(12\) friends for their party. There are four bracelets in each pack. How many packs must she buy? 
(A) 
\(4\) 
(B) 
\(6\) 
(C) 
\(2\) 
(D) 
\(3\) 
(E) 
\(12\) 
4 
If \(x \ – \ 8 =  \ 12\), then \(x \ × \ 2 =\) ? 
(A) 
\(4\) 
(B) 
\(6\) 
(C) 
\( \ 4\) 
(D) 
\( \ 10\) 
(E) 
\( 10\) 
5 
If Jack ran \(4.5\) miles in half an hour, his average speed was? 
(A) 
\(9\) miles per hour 
(B) 
\(2.5\) miles per hour 
(C) 
\(5\) miles per hour 
(D) 
\(1.5\) miles per hour 
(E) 
\(3.25\) miles per hour 
6 
The distance between cities A and B is approximately \(3,600\) miles. If Alex drives an average of \(54\) miles per hour, how many hours will it take Alex to drive from city A to city B? 
(A) 
Approximately \(15\) hours 
(B) 
Approximately \(60\) hours 
(C) 
Approximately \(27\) hours 
(D) 
Approximately \(66\) hours 
(E) 
Approximately \(42\) hours 
7 
In a classroom of \(50\) students, \(36\) are female. What percentage of the class is male? 
(A) 
\(25\%\) 
(B) 
\(15\%\) 
(C) 
\(30\%\) 
(D) 
\(28\%\) 
(E) 
\(40\%\) 
8 
A pizza maker has \(x\) pounds of flour to make pizzas. After he has used \(40\) pounds of flour, how much flour is left? The expression that correctly represents the quantity of flour left is: 
(A) 
\(\frac{40}{x}\) 
(B) 
\(\frac{x}{40}\) 
(C) 
\(40 \ + \ x\) 
(D) 
\(40 \  \ x\) 
(E) 
\(x\  \ 40\) 
9 
Given the diagram, what is the perimeter of the quadrilateral?

(A) 
\(63\) 
(B) 
\(65\) 
(C) 
\(33.25\) 
(D) 
\(630\) 
(E) 
\(52.5\) 
10 
An employee’s rating on performance appraisals for the last three quarters were \(90, \ 82\) and \(80\). If the required yearly average to qualify for the promotion is \(88\), what rating should the fourth quarter be? 
(A) 
\(100\) 
(B) 
\(95\) 
(C) 
\(90\) 
(D) 
\(94\) 
(E) 
\(91\) 
11 
A steak dinner at a restaurant costs \($\ 9.36\). If a man buys a steak dinner for himself and \(2\) friends, what will the total cost be? 
(A) 
\($\ 35\) 
(B) 
\($\ 28.08\) 
(C) 
\($\ 19\) 
(D) 
\($\ 15.68\) 
(E) 
\($\ 28\) 
12 
What is the slope of the line that is perpendicular to the line with equation \(6 \ x \ + \ y = 10\)? 
(A) 
\(\frac{1}{6}\) 
(B) 
\(\frac{ \ 1}{6}\) 
(C) 
\(\frac{ \ 1}{10}\) 
(D) 
\(6\) 
(E) 
\( \ 6\) 
13 
Two third of \(15\) is equal to \(\frac{1}{2}\) of what number? 
(A) 
\(15\) 
(B) 
\(30\) 
(C) 
\(45\) 
(D) 
\(50\) 
(E) 
\(20\) 
14 
Last week \(32,000\) fans attended a football match. This week three times as many bought tickets, but one fourth of them cancelled their tickets. How many are attending this week? 
(A) 
\(50,000\) 
(B) 
\(72,000\) 
(C) 
\(61,000\) 
(D) 
\(23,000\) 
(E) 
\(70,000\) 
15 
A cruise line ship left Port A and traveled \(80\) miles due west and then \(110\) miles due north. At this point, what is the shortest distance from the cruise to port A?

(A) 
\(75\) miles 
(B) 
\(136\) miles 
(C) 
\(180\) miles 
(D) 
\(50\) miles 
(E) 
\(125\) miles 
16 
The result of a research shows the number of men and women in four cities of a country. What's the maximum ratio of woman to man in the four cities?

(A) 
\(0.95\) 
(B) 
\(0.93\) 
(C) 
\(0.97\) 
(D) 
\(0.90\) 
(E) 
\(0.91\) 
17 
The result of a research shows the number of men and women in four cities of a country. What's the ratio of percentage of men in city A to percentage of women in city C?

(A) 
\(1.5\) 
(B) 
\(1\) 
(C) 
\(1.05\) 
(D) 
\(0\) 
(E) 
\(0.95\) 
18 
In \(1999\), the average worker's income increased \($\ 3,000\) per year starting from \($\ 21,000\) annual salary. Which equation represents income greater than average? (I \(=\) income, \(x =\) number of years after \(1999\)) 
(A) 
\(I \ > \ 3000 \ x \ + \ 21000\) 
(B) 
\(I \ < \ 3000 \ x \ + \ 21000\) 
(C) 
\(I \ < \ 3000 \ x \  \ 21000\) 
(D) 
\(I \ < \ 21000 \ x \  \ 3000\) 
(E) 
\(I \ > \ 21000 \ x \  \ 3000\) 
19 
Solve the following equation for \(y\)? \(\frac{x}{1 \ + \ 4}=\frac{y}{9 \  \ 5}\) 
(A) 
\(\frac{4}{5} \ x\) 
(B) 
\(\frac{5}{4} \ x\) 
(C) 
\(\frac{4 \ x}{5}\) 
(D) 
\(4 \ x \ + \ 5\) 
(E) 
\(4 \ x \) 
20 
The result of a research shows the number of men and women in four cities of a country. How many women should be added to city D until the ratio of women to men will be \(1.2\)?

(A) 
\(132\) 
(B) 
\(125\) 
(C) 
\(245\) 
(D) 
\(92\) 
(E) 
\(68\) 
21 
Jason traveled \(240\) km in \(6\) hours and Emily traveled \(120\) km in \(2\) hours. What is the ratio of the average speed of Jason to average speed of Emily? 
(A) 
\( 4 \ : \ 5\) 
(B) 
\( 2\ : \ 3\) 
(C) 
\( 8 \ : \ 12\) 
(D) 
\( 8 \ : \ 9\) 
(E) 
\( 12\ : \ 8\) 
22 
In the following figure, MN is \(50\) cm. How long is ON?

(A) 
\(5\) cm 
(B) 
\(25\) cm 
(C) 
\(10\) cm 
(D) 
\(30\) cm 
(E) 
\(8\) cm 
23 
Rectangle A has a length of \(9\) cm and a width of \(3\) cm, and rectangle B has a length of \(9\) cm and a width of \(4\) cm, what is the percent of ratio of the perimeter of rectangle B to rectangle A? 
(A) 
\(25\%\) 
(B) 
\(35\%\) 
(C) 
\(125\%\) 
(D) 
\(108.3\%\) 
(E) 
\(85\%\) 
24 
\(\sqrt[4]{x^{13}}=\)? 
(A) 
\(x^3 \ \sqrt[4]{x}\) 
(B) 
\(x^4 \ \sqrt[2]{x}\) 
(C) 
\(x^5\) 
(D) 
\(x^5 \ + 2\) 
(E) 
\(x^6\) 
25 
What is the difference of smallest \(3\)–digit number and biggest \(3\)–digit number? 
(A) 
\(999\) 
(B) 
\(888\) 
(C) 
\(648\) 
(D) 
\(997\) 
(E) 
\(899\) 
SSAT Upper Level Math
Test 4 Section 2 25 questions Total time for this section: 30 Minutes You may NOT use a calculator for this test.

26 
Which of the following is a whole number ? 
(A) 
\(\frac{1}{2} \ × \ \frac{1}{3}\) 
(B) 
\(\frac{1}{2} \ + \ \frac{1}{3}\) 
(C) 
\(\frac{12}{9}\) 
(D) 
\(3.5 \ + \frac{2}{3}\) 
(E) 
\(3.5 \ + \ \frac{7}{2}\) 
27 
Cathrine purchased a sofa for \($\ 530.40\). The sofa is regularly priced at \($\ 624\). What was the percent discount Cathrine received on the sofa? 
(A) 
\(24\%\) 
(B) 
\(15\%\) 
(C) 
\(50\%\) 
(D) 
\(35\%\) 
(E) 
\(26\%\) 
28 
\(4 \ \frac{2}{3} \ × \ 3 \ \frac{1}{6}=\)? 
(A) 
\(15 \frac{5}{9}\) 
(B) 
\(\frac{5}{9}\) 
(C) 
\(14 \frac{7}{9}\) 
(D) 
\( \frac{7}{9}\) 
(E) 
\( 9\) 
29 
\(0.30 \ × \ 15.4=\) ? 
(A) 
\(4.620\) 
(B) 
\(4.965\) 
(C) 
\(4.650\) 
(D) 
\(5.650\) 
(E) 
\(5.620\) 
30 
If \(\frac{2}{3}\) of a number equal to \(14\) then \(\frac{2}{5}\) of the same number is: 
(A) 
\(10\) 
(B) 
\(25\) 
(C) 
\(50\) 
(D) 
\(8\) 
(E) 
\(16\) 
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31 
A bank is offering \(2.5\%\) simple interest on a savings account. If you deposit \($\ 15,000\), how much interest will you earn in two years? 
(A) 
\($\ 750\) 
(B) 
\($\ 7500\) 
(C) 
\($\ 5700\) 
(D) 
\($\ 460\) 
(E) 
\($\ 5600\) 
32 
We can put \(36\) colored pencils in each box and we have \(144\) colored pencils. How many boxes do we need? 
(A) 
\(10\) 
(B) 
\(16\) 
(C) 
\(19\) 
(D) 
\(4\) 
(E) 
\(8\) 
33 
How long does a \(500\)–miles trip take moving at \(50\) miles per hour (mph)? 
(A) 
\(10\) hours 
(B) 
\(9\) hours and \(20\) minutes 
(C) 
\(8\) hours and \(28\) minutes 
(D) 
\(10\) hours and \(28\) minutes 
(E) 
\(9\) hours and \(45\) minutes 
34 
In the figure below, line A is parallel to line B. What is the value of angle \(x\)?

(A) 
\(35\) degree 
(B) 
\(135\) degree 
(C) 
\(45\) degree 
(D) 
\(145\) degree 
(E) 
\(105\) degree 
35 
A swimming pool holds \(18,00\) cubic feet of water. The swimming pool is \(20\) feet long and \(12\) feet wide. How deep is the swimming pool? 
(A) 
\(6\) feet 
(B) 
\(8\) feet 
(C) 
\(2\) feet 
(D) 
\(5\) feet 
(E) 
\(7.5\) feet 
36 
A construction company is building a wall. The company can build \(25\) cm of the wall per minute. After \(30\) minutes construction, \(\frac{2}{5}\) of the wall is completed. How high is the wall? 
(A) 
\(4\) m 
(B) 
\(2.28\) m 
(C) 
\(10\) m 
(D) 
\(5\) m 
(E) 
\(4.5\) m 
37 
When a number is subtracted from \(12\) and the difference is divided by that number, the result is \(2\). What is the value of the number? 
(A) 
\(2\) 
(B) 
\(3\) 
(C) 
\(4\) 
(D) 
\(6\) 
(E) 
\(12\) 
38 
The ratio of boys to girls in a school is \(3:5\). If there are \(400\) students in a school, how many boys are in the school? 
(A) 
\(120\) 
(B) 
\(200\) 
(C) 
\(300\) 
(D) 
\(150\) 
(E) 
\(350\) 
39 
\( 5\) cubed is the same as: 
(A) 
\(5\times \ 5\) 
(B) 
\(5\times \ 5\times \ 5\) 
(C) 
\(25\) 
(D) 
\(125\) 
(E) 
\(525\) 
40 
If car A drives \(400\) miles in \(8\) hours and car B drives the same distance in \(5\) hours, how many miles per hour does car B drive faster than car A? 
(A) 
\(30\) 
(B) 
\(5\) 
(C) 
\(10\) 
(D) 
\(15\) 
(E) 
\(8\) 
41 
If \(y = 3 \ a \ b \ + \ 2 \ b^{2}\), what is \(y\) when \(a = 2\) and \(b = 4\)? 
(A) 
\(35\) 
(B) 
\(68\) 
(C) 
\(25\) 
(D) 
\(56\) 
(E) 
\(32\) 
42 
Which of the following shows the numbers in increasing order? 
(A) 
\(\frac{1}{3}, \frac{2}{5}, \frac{3}{7}, \frac{5}{6}\) 
(B) 
\(\frac{5}{7}, \frac{3}{4}, \frac{8}{11}, \frac{2}{3}\) 
(C) 
\(\frac{8}{11}, \frac{3}{4}, \frac{5}{7}, \frac{2}{3}\) 
(D) 
\(\frac{5}{7}, \frac{8}{11}, \frac{3}{4}, \frac{2}{3}\) 
(E) 
None of the above 
43 
\(\frac{(2 \ + \ 5)^{2}}{7} \ + \ 4=\) ? 
(A) 
\(53\) 
(B) 
\(25\) 
(C) 
\(35\) 
(D) 
\(22\) 
(E) 
\(11\) 
44 
A company pays its employee \($\ 6000\) plus \(2\%\) of all sales profit. If \(x\) is the number of all sales profit, which of the following represents the employee’s revenue? 
(A) 
\(0.92 \ x \ + \ 6000\) 
(B) 
\(0.02 \ x \ + \ 6000\) 
(C) 
\(0.20 \ x \) 
(D) 
\(0.009 \ x \) 
(E) 
\(0.98 \ x \  \ 6000\) 
45 
The area of a circle is \(36 \ π\). What is the circumference of the circle? 
(A) 
\(10 \ π\) 
(B) 
\(24\ π\) 
(C) 
\(36\ π\) 
(D) 
\(5\ π\) 
(E) 
\(12\ π\) 
46 
What is the greatest common factor of \(36\) and \(54\)? 
(A) 
\(9\) 
(B) 
\(25\) 
(C) 
\(18\) 
(D) 
\(12\) 
(E) 
\(35\) 
47 
Find \(\frac{1}{4}\) of \(\frac{2}{3}\) of \(150\)? 
(A) 
\(35\) 
(B) 
\(15\) 
(C) 
\(13\) 
(D) 
\(25\) 
(E) 
\(18\) 
48 
If \(50\%\) of \(x\) equal to \(20\%\) of \(20\), then what is the value of \((x \ + \ 4)^2\)? 
(A) 
\(156\) 
(B) 
\(180\) 
(C) 
\(50.25\) 
(D) 
\(23.25\) 
(E) 
\(144\) 
49 
If the interior angles of a quadrilateral are in the ratio \(1:2:3:4\), what is the measure of the smallest angle? 
(A) 
\(36^\circ\) 
(B) 
\(150^\circ\) 
(C) 
\(180^\circ\) 
(D) 
\(45^\circ\) 
(E) 
\(60^\circ\) 
50 
The length of a rectangle is \(\frac{2}{3}\) times its width. If the width is \(12\), what is the perimeter of this rectangle? 
(A) 
\(20\) 
(B) 
\(36\) 
(C) 
\(54\) 
(D) 
\(16\) 
(E) 
\(40\) 