Free Full Length SSAT Upper Level Math Practice Test

The correct answer is $6$ tenths
Digit $6$ is in the tenths place.

The correct answer is $0.64$
$0.04 \ × \ 16.00=\frac{4}{100} \ × \ \frac{16}{1}=\frac{64}{100}=0.64$

The correct answer is $3$
Number of packs needed equals to: $\frac{12}{4} = 3$.
Then Mary must purchase $3$ packs.

The correct answer is $- \ 4$
$x \ - \ 8=- \ 12→$
$x=- \ 10 \ + \ 8→$
$x=- \ 2$, Then; $x \ × \ 2=- \ 2 \ × \ 2=- \ 4$

The correct answer is $9$ miles per hour
His average speed was: $\frac{4.5}{0.5}=9$ miles per hour

The correct answer is approximately $66$ hours
The time it takes to drive from city A to city B is:
$\frac{3600}{54}=66.66$

The correct answer is $28\%$
Number of males in the classroom is:
$50 \ - \ 36=14$
Then, the percentage of males in the classroom is:
$\frac{14}{50} \ × \ 100=0.28 \ × \ 100=28\%$

The correct answer is $x \ - \ 40$.
The amount of flour is: $x \ - \ 40$

The correct answer is $63$
The perimeter of the quadrilateral is:
$5 \ + \ 22 \ + \ 8 \ + \ 28=63$

The correct answer is $100$
Let $x$ be the fourth quarter rate, then:
$\frac{90 \ + \ 82 \ + \ 80 \ + \ x}{4}=88$
Multiply both sides of the above equation by $4$. Then:
$4 \ × \ (\frac{90 \ + \ 82 \ + \ 80 \ + \ x}{4})=4 \ × \ 88→$
$90 \ + \ 82 \ + \ 80 \ + \ x=352→$
$252 \ + \ x=352→$
$x=352 \ - \ 252=100$

The correct answer is $$\ 28.08$
For one person the total cost is: $$\ 9.36$
Therefore, for three persons, the total cost is:
$3 \ × \ $\ 9.36=$\ 28.08$

The correct answer is $\frac{1}{6}$
The equation of a line in slope intercept form is:
$y=m \ x \ + \ b$
Solve for $y$.
$6 \ x \ + \ y=10 ⇒$
$y=- \ 6 \ x \ + \ 10$
$y=- \ 6 \ x \ + \ 10$
The slope of this line is $- \ 6$.
The slope of the line perpendicular to this line is:
$m_{1} \ × \ m_{2} = - \ 1 ⇒$
$- \ 6 \ × \ m_{2} = - \ 1 ⇒$
$m_{2} = \frac{1}{6}$

The correct answer is $20$
Let $x$ be the number.
Write the equation and solve for $x$.
$\frac{2}{3} \ × \ 15= \frac{1}{2} \ x →$
$\frac{2 \ × \ 15}{3}= \frac{1 \ x}{2}$ , use cross multiplication to solve for $x$.
$2 \ × \ 30=1 \ x \ × \ 3 ⇒$
$60=3 \ x ⇒ x=20$

The correct answer is $72,000$
Three times of $32,000$ is $96,000$.
One fourth of them cancelled their tickets.
One fourth of $96,000$ equals $24,000 \ (\frac{1}{4} \ × \ 96000 = 24000)$.
$72,000 \ (96000 \ – \ 24000 = 72000)$ fans are attending this week

The correct answer is $136$ miles
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem: $a^2 \ + \ b^2 = c^2$
$80^2 \ + \ 110^2 =c^2 ⇒$
$6400 \ + \ 12100 = c^2 ⇒$
$18500 = c^2 ⇒$
$c\cong136$ miles

The correct answer is $0.97$
Ratio of women to men in city A: $\frac{570}{600}=0.95$
Ratio of women to men in city B: $\frac{291}{300}=0.97$
Ratio of women to men in city C: $\frac{665}{700}=0.95$
Ratio of women to men in city D: $\frac{528}{550}=0.96$
$0.97$ is the maximum ratio of woman to man in the four cities.

The correct answer is $1.05$
Percentage of men in city A $= \frac{600}{1170} \ × \ 100=51.28\%$
Percentage of women in city C $= \frac{665}{1365} \ × \ 100=48.72\%$
Percentage of men in city A to percentage of women in city C $= \frac{51.28}{48.72}=1.05$

The correct answer is $I \ > \ 3000 \ x \ + \ 21000$
Let $x$ be the number of years.
Therefore, $$\ 3,000$ per year equals $3000 \ x$.
Starting from $$\ 21,000$ annual salary means you should add that amount to $3000 \ x$.
Income more than that is:
$I \ > \ 3000 \ x \ + \ 21000$

The correct answer is $\frac{4}{5} \ x$
$\frac{x}{1 \ + \ 4 }=\frac{y}{9 \ - \ 5}→$
$\frac{x}{5}=\frac{y}{4}→$
$5 \ y=4 \ x→$
$y=\frac{4}{5} \ x$

The correct answer is $132$
Let the number of women should be added to city D be $x$, then:
$\frac{528 \ + \ x}{550}=1.2→$
$528 \ + \ x=550 \ × \ 1.2=660→$
$x=132$

The correct answer is $8 : 12$
The average speed of Jason is:
$240 \ ÷ \ 6= 40$ km
The average speed of Emily is:
$120 \ ÷ \ 2 = 60$ km
Write the ratio and simplify.
$40: 60 ⇒ 8 : 12$

The correct answer is $30$ cm
The length of MN is equal to:
$4 \ x \ + \ 6 \ x=10 \ x$
Then:
$10 \ x=50→$
$x=\frac{50}{10}=5$
The length of ON is equal to:
$6 \ x=5 \ × \ 6=30$ cm

The correct answer is $108.3\%$
Perimeter of rectangle A is equal to:
$2 \ × \ (9 \ + \ 3)=2 \ × \ 12=24$
Perimeter of rectangle B is equal to:
$2 \ × \ (9 \ + \ 4)=2 \ × \ 13=26$
Therefore:
$\frac{26}{24} \ × \ 100=1.083 \ × \ 100=108.3\%$

The correct answer is $x^3 \ \sqrt[4]{x}$
$\sqrt[4]{x^{13}} = \sqrt[4]{x^{12} \ × \ x}=$
$\sqrt[4]{x^{12}} \ ×\ \sqrt[4]{x}=x^{\frac{12}{4}} \ × \ \sqrt[4]{x}=$
$x^3 \ \sqrt[4]{x}$

The correct answer is $899$
Smallest $3$–digit number is $100$, and biggest $3$–digit number is $999$.
The difference is: $899$

The correct answer is $899$
Smallest $3$–digit number is $100$, and biggest $3$–digit number is $999$.
The difference is: $899$

The correct answer is $3.5 \ + \ \frac{7}{2}$
A. $\frac{1}{2} \ × \ \frac{1}{3}=\frac{1}{6}$ is not equal to whole number
B. $\frac{1}{2} \ + \ \frac{1}{3}=\frac{3 \ + \ 2}{6}=\frac{5}{6}$ is not equal to whole number
C. $\frac{12}{9}=\frac{4}{3}=1.3$ is not equal to whole number
D. $3.5 \ + \frac{2}{3} =\frac{7}{3}=2.33$ is not equal to whole number
E. $3.5 \ + \ \frac{7}{2}=3.5 \ + \ 3.5=7$ is a whole number

The correct answer is $15\%$
The question is this: 530.40 is what percent of 624?
Use percent formula: Part = percent/100 × whole
$530.40 = \frac{percent}{100} \ × \ 624 →$
$530.40 = \frac{percent \ × \ 624}{100} →$
$53040 =$ percent $× \ 624$
Then, Percent $= \frac{53040}{624} = 85$
$530.40$ is $85%$ of $624$.
Therefore, the discount is: $100\% \ – \ 85\% = 15\%$

The correct answer is $14\ \frac{7}{9}$
$4 \ \frac{2}{3} \ × \ 3 \ \frac{ 1}{6}=\frac{14}{3} \ × \ \frac{19}{6}=\frac{14 \ × \ 19}{3 \ × \ 6}=\frac{266}{18}=\frac{133}{9}=14 \ \frac{7}{9}$

The correct answer is $4.620$
$0.30 \ × \ 15.4=\frac{30}{100} \ × \ \frac{154}{10}=\frac{30 \ × \ 154}{100 \ × \ 10}=\frac{4620}{1000}=4.620$

The correct answer is $8$
Let $x$ be the number, then;
$\frac{2}{3} \ x=14→$
$x=\frac{3 \ × \ 14}{2}=21$
Therefore: $\frac{2}{5} \ x=\frac{2}{5} \ × \ 21=8$

The correct answer is $$\ 750$
Use simple interest formula: I $=$ prt (I $=$ interest, p $=$ principal, r $=$ rate, t $=$ time)
I $=(15000) \ (0.025) \ (2)=$\ 750$

The correct answer is $4$
Number of boxes equal to:
$\frac{144}{36}=\frac{16}{4}=4$

The correct answer is $10$ hours
Use distance formula: Distance $=$ Rate $×$ time $⇒ 500 = 50 \ ×$ T, divide both sides by $50$.
$\frac{500}{50} =$ T $⇒$ T $= 10$ hours.
Change hours to minutes for the decimal part.
$10$ hours $= 10 \ × \ 60 = 600$ minutes

The correct answer is $135$ degrees
The angle $x$ and $45$ are complementary angles.
Therefore: $x \ + \ 45=180, 180^° \ - \ 45^°=135^°$

The correct answer is $7.5$ feet
Use formula of rectangle prism volume.
V $=$ (length) (width) (height) $⇒ 1800 = (20) \ (12)$ (height)
$⇒$ height $= 1800\ ÷ \ 240= 7.5$ feet

The correct answer is $2.28$ m
The rate of construction company $=\frac{25 \ cm}{1 \ min}=25$ cm/min
Height of the wall after $30$ min $= \frac{25 \ cm}{1 \ min} \ × \ 30$ min $=570$ cm
Let $x$ be the height of wall, then $\frac{2}{5} \ x=570$ cm$→$
$x=\frac{2 \ × \ 570}{5}→$
$x=228$ cm $=2.28$ m

The correct answer is $4$
Let’s review the choices provided:
A. $12 \ - \ 2=10→\frac{10}{2}=5≠2$
B. $12 \ - \ 3=9→\frac{9}{3}=3≠2$
C. $12 \ - \ 4=8→\frac{8}{4}=2=2$
D. $12 \ - \ 6=6→\frac{6}{6}=1≠2$
E. $12 \ - \ 12=0→\frac{0}{12}=0≠2$

The correct answer is $150$
The ratio of boys to girls is $3:5$.
Therefore, there are $3$ boys out of $8$ students.
To find the answer, first divide the total number of students by $8$, then multiply the result by $3$.
$400 \ ÷ \ 8 = 50 ⇒$
$50 \ × \ 3 = 150$

The correct answer is $125$
$5$ cubed is: $5 \ × \ 5 \ × \ 5=25 \ × \ 5=125$

The correct answer is $30$ Km/h
Speed of car A is: $\frac{400}{8}=50$ Km/h
Speed of car B is: $\frac{400}{5}=80$ Km/h
$→80 \ - \ 50=30$ Km/h

The correct answer is $56$
$y = 3 \ a \ b \ + \ 2 \ b^2$, Plug in the values of $a$ and $b$ in the equation: $a = 2$ and $b = 4$
$y = 3 \ (2) \ (4) \ +\ 2 \ (4)^2= 24 \ + \ 2 \ (16) = 24 \ + \ 32 = 56$

The correct answer is $\frac{1}{3}, \frac{2}{5}, \frac{3}{7}, \frac{5}{6}$
$\frac{1}{3}\cong 0.33$
$\frac{2}{5} \cong 0.4$
$\frac{3}{7} \cong 0.42$
$\frac{5}{6}=0.83$

The correct answer is $11$
$\frac{(2 \ + \ 5)^2}{7} \ + \ 4=\frac{(7)^2}{7} \ +\ 4=\frac{49}{7} \ + \ 4=7 \ + \ 4=11$

The correct answer is $0.02 \ x \ + \ 6000$
$x$ is the number of all sales profit and $2\%$ of it is:
$2\%\ × \ x=0.02 \ x$
Employee’s revenue: $0.02 \ x \ + \ 6000$

The correct answer is $12 \ π$
Use the formula of the area of circles.
Area $= π \ r^2 ⇒$
$36 \ π = π \ r^2 ⇒$
$36 = r^2 ⇒ r = 6$
Radius of the circle is $6$.
Now, use the circumference formula:
Circumference $= 2 \ π \ r = 2 \ π \ (6) = 12 \ π$

The correct answer is $18$
Prime factorizing of $36=2 \ × \ 2 \ × \ 3 \ × \ 3$
Prime factorizing of $54=2 \ × \ 3 \ × \ 3 \ × \ 3$
GCF $=2 \ × \ 3 \ × \ 3=18$

The correct answer is $25$
$\frac{2}{3}$ Of $150=\frac{2}{3} \ × \ 150=100$
$\frac{1}{4}$ Of $100 =\frac{1}{4} \ × \ 100=25$

The correct answer is $144$
$0.5 \ x=(0.2) \ × \ 20→$
$x=8→(x \ + \ 4)^2=$
$(8 \ + \ 4)^2=$
$(12)^2=144$

The correct answer is $36^\circ$
The sum of all angles in a quadrilateral is $360$ degrees.
Let $x$ be the smallest angle in the quadrilateral. Then the angles are:
$x, 2 \ x, 3 \ x, 4 \ x$
$x \ + \ 2 \ x \ + \ 3 \ x \ + \ 4 \ x=360→$
$10 \ x=360→x=36$
The angles in the quadrilateral are: $36^°, 72^°, 72^°$, and $180^°$
The smallest angle is $36$ degrees.

The correct answer is $40$
Length of the rectangle is: $\frac{2}{3} \ × \ 12=8$
Perimeter of rectangle is: $2 \ × \ (8 \ + \ 12)=40$