SSAT : Quantitative Section

Following each problem in this section, there are five suggested answers. Work each problem in your head or in the blank space provided at the right of the page. Then look at the five suggested answers and decide which one is best.

Note: Figures that accompany problems in this section are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. 

[start-test type=10 col=1 line-height=3]

[question text="Today Mrs. Patterson's classroom has sixteen empty chairs. All the chairs are occupied when every student is present. If 2/5 of the students are absent today, how many students make up her entire class? " answers="36#16#32#*40#24 "]

[question text="Rachel spent £24.15 on vegetables. She bought 2 lbs of onions, 3 lbs of carrots, and 1 ½ lbs of mushrooms. If the onions cost £3.69 per lb, and the carrots cost £ 4.29 per lb, what is the price per lb of mushrooms? " answers="£2.75#£3.10#*£2.60#£2.25#£2.80 "]

[question text='In the figure, A, B, and C are points on the number line, where O is the origin. What is the ratio of the distance BC to distance AB? ' answers="3:5#8:5#*3:11#8:6#8:11 "]

[question text="In an election in Kimball County, Candidate A obtained 36,800 votes. His opponent, Candidate B, obtained 32,100 votes. 2,100 votes went to write-in candidates. What percentage of the vote went to Candidate A? " answers="56.2%#45.2%#46.8%#*51.8%#53.4% "]

[question text="Lauren had £80 in her savings account. When she received her pay check, she made a deposit which brought the balance up to £120. By what percentage did the total amount in her account increase as a result of this deposit? " answers="35%#120%#80%#*50%#40% "]

[question text='Find the length of the side labeled x. The triangle represented in the figure is a right triangle, as shown. ' answers="25#24#22#*20#18 "]

[question text="A motorcycle manufacturer offers 3 different models, each available in 6 different colors. How many different combinations of model and color are available? " answers="24#*18#12#9#6 "]

[question text="Which of the following expressions is equivalent to $x^3x^5$?" answers="$2x^8$#$2x^{15}$#$x^2$#*$x^8$#$x^{15}$ "]

[question text="If $\frac{12}x$= $\frac{30}6$, what is the value of x? " answers="*2.4#2.75#2.0#3.6#3.0 "] 

[question text='ΔABC is a right triangle and ∠ACB = 30°. What is the measure of ΔBAC? ' answers="70°#*60°#45°#50°#40° "]

[question text="Carrie wants to decorate her party with bundles of balloons containing three balloons each. Balloons are available in 4 different colors. There must be three different colors in each bundle. How many different kinds of bundles can she make? " answers="10#12#*4#18#6 "]

[question text='In the figure below, segment BC is 4 units long, segment CD is 8 units long, and segment DE is 6 units long. What is the length of segment AC? ' answers="4 units#*5 units#3 units#2.5 units#7 units "]

[question text="In a game of chance, 3 dice are cast simultaneously. What is the probability that all three will land with a 6 showing? " answers="1 in 36#1 in 18#1 in 6#1 in 30#*1 in 216 "]

[question text="Arrange the following numbers in order from the least to greatest $2^3$, $4^2$, $6^0$, $9$, ${10}^1$ " answers="$2^3$, $4^2$, $6^0$, $9$, ${10}^1$#$6^0$, $9$, ${10}^1$, $2^3$, $4^2$#${10}^1$, $2^3$, $6^0$, $9$, $4^2$#*$6^0$, $2^3$, $9$, ${10}^1$, $4^2$#$9$, $6^0$, ${10}^1$, $4^2$, $2^3$ "]

[question text="A combination lock uses a 3-digit code. Each digit can be any one of the ten available integers 0-9. How many different combinations are possible? " answers="100#81#9#*1000#30 "]

[question text="Identify the fraction that is less than $\frac38$ " answers="$\frac49$#*$\frac5{14}$#$\frac6{11}$#$\frac9{20}$#$\frac7{16}$ "]

[question text="$\frac34$ of $\frac45$ is what fraction? " answers="$\frac23$#$\frac58$#*$\frac35$#$\frac43$#$\frac52$ "]

[question text="Evaluate $\frac14$+$\frac15$+$\frac16$= " answers="*$\frac{37}{60}$#$\frac{48}{60}$#$\frac{72}{60}$#$\frac1{15}$#$\frac3{20}$ "]

[question text="If a chess team contains 8 girls and 4 boys, approximately what percent of the team are girls? " answers="75%#*67%#57%#43%#25% "]

[question text="Jack has $450 in the bank. If he takes out 30%, how much money will he still have in the bank? " answers="135#150#270#*315#350 "]

[question text="16 is what percent of 80? " answers="10%#*20%#25%#30%#40% "]

[question text="Which number represents three thousand five and twelve thousandths? " answers="35,000.12#3,500.012#3050.12#*3005.012#3005.12 "] 

[question text="Divide 155.8 by 8.2. " answers="0.19#1.9#2.2#*19#22 "]

[question text="Each of Chris’s golf balls weighs 0.045 kilograms. A bag containing 12 golf balls weighs 0.62 kilograms. How many kilograms does the bag weigh by itself? " answers="0.045#*0.080#0.575#0.581#0.728 "]

[question text="544.1 + 87.3 + 28.4 + 166.2 = " answers="628#650#700#816#*826 "]

[question text="Mark purchased 3 peppers, 2 onions, 8 carrots, 6 potatoes, and 1 head of kale. What was his ratio of onions to all food purchased? " answers="2:19#2:23#*1:10#1:11#1:18 "]

[question text="Find the ratio of 48 minutes to 2 hours. " answers="24:1#4:3#1:2#*2:5#3:5 "]

[question text="The softball team lost 18 games out of 27 games played. Find the ratio of games won to games lost. " answers="$\frac13$#*$\frac12$#$\frac35$#$\frac23$#$\frac32$ "]

[question text='Estimate the total amount of snow that fell during 8 hours of a snowstorm, according to the table. ' answers="8 in#12 in#14 in#20 in#*24 in "]

[question text="If 20% of a number is 90, then 60% of that same number is " answers="60#180#*270#450#540 "]

[question text="A farmer sold 30% of his corn crop to an ethanol plant. He then sold 10% of the remainder of his crop to a grocery store chain. What percent of his original crop does he now have? " answers="70%#65%#*63%#60%#50% "]

[question text="If 80 percent of x is 9, what is 40 percent of 2x? " answers="3#6#*9#12#18 "]

[question text="A ribbon $6\frac13$ feet long can be cut into how many pieces each 4 inches long? " answers="9#12#15#*19#21 "]

[question text="0.050 × 1,000.00 = " answers="0.05#0.5#5.0#*50#500 "]

[question text="Find the quotient of 7.2 and 1.8. " answers="40#*4#$\frac14$#$\frac1{40}$#$\frac1{400}$ "]

[question text="$\sqrt[3&rb{x^8}$ = " answers="*${x^2}\sqrt[3&rb{x^2}$#$x^{24}$#$x^5$#$x^2$#$24x$ "]

[question text="Simplify the variable expression: $\frac{13f^3t^5u}{52f^2t^4u}$ " answers="$\frac{tu}{4}$#$\frac{4}{ft}$#*$\frac{ft}{4}$#$\frac{f^5t^9u^2}{4}$#$\frac{ft}{4u}$ "]

[question text="$(-\frac65)^3$ = " answers="$\frac{216}{125}$#$\frac{18}{15}$#$-\frac{18}{125}$#$-\frac{18}{15}$#*$-\frac{216}{125}$ "]

[question text="Calculate $3a$ – $b^2$ when $a$ = $6$ and $b$ = $4$. " answers="0#1#*2#14#34 "]

[question text="If $(x^a)^3$=$x^{15}$ and $\frac{x^b}{x^2}$=$x^7$, then $b$ - $a$ = " answers="-4#-2#2#*4#14 "]

[question text="If abc ≠ 0, $a^0$ + $b^0$ +$c^0$ = " answers="abc#0#1#*3#It cannot be determined from the information given. "]

[question text="If 0 < x < 1, which of the following inequalities is correct? " answers="$\sqrt{x}$ < $x$ < $x^2$#*$x^2$ < $x$ < $\sqrt{x}$#$x$ < $x^2$ < $\sqrt{x}$#$\sqrt{x}$ < $x^2$ < $x$#$x$ < $\sqrt{x}$ < $x^2$ "]

[question text="($2.4\times{10}^x$)($3.0\times{10}^y$) = " answers="$72\times{10}^{x+y}$#*$7.2\times{10}^{x+y}$#$7.2\times{10}^{x+y+1}$#$7.2\times{10}^{xy}$#$72\times{10}^{xy}$ "]

[question text="$100,000 + (4.0\times10^3)$ = " answers="4,000#10,040#10,400#100,400#*104,000 "]

[question text="$(\sqrt{27})(\sqrt{3})$ = " answers="$3\sqrt{3}$#*$9$#$9\sqrt{3}$#$18$#$81$ "]

[question text="Simplify the variable expression: ${(-2x^2y^5)}^3$ " answers="${-2x^5y^8}$#${-2x^6y^{15}}$#${-6x^6y^{15}}$#*${-8x^6y^{15}}$#${8x^6y^{15}}$ "]

[question text="Calculate $a^2b$ - $ab^2$ + $({ab})^2$ when $a=5$ and $b=2$ ." answers="20#50#100#*130#170 "]

[question text="Simplify the variable expression: $\frac{(2x^3y^2)^3}{4x^6y^9}$ " answers="$4x^3y^{-3}$#*$2x^3y^{-3}$#$x^3y^{-3}$#$y^{-3}$#$\frac12{x^{-3}y^{-7}}$ "]

[question text="$({\sqrt[3&rb{x})^{5}}$ = "answers="*$x(\sqrt[3&rb{x^2})$#$x^{15}$#$x^2$#$\sqrt[{15}&rb{x}$#$x^2(\sqrt[3&rb{2x})$ "]

[question text="$(-\frac43)^2$ = " answers="$-\frac{16}9$#$-\frac86$#*$\frac{16}9$#$9$#$16$ "]

[question text="${\sqrt[3&rb{8}\times({\sqrt{4}})^{3}}$ = " answers="$64$#$32$#*$16$#$8$#$4$"]

[question text="Simplify the variable expression: $\frac{(ab)^3c^0}{a^3b^4}$ " answers="$\frac1a$#*$\frac1b$#$\frac{c}{b}$#$a$#$b$ "]

[question text="Calculate $(x)(x)^2$ when  $x$=$-4$. " answers="64#16#4# –16#*–64 "]

[question text="$5\times(2^\frac12)^2=$ " answers="$25$#*$10$#$5\sqrt{2}$#$\sqrt{10}$#$\frac1{10}$ "]

[question text="Simplify the variable expression: $\frac{a^5b^{14}}{a^3b^6}$ " answers="*$a^2b^8$#$a^8b^3$#$a^8b^{20}$#$a^2b^5$#$\frac1{a^2b^8}$ "]

[end-test]