SSAT : Quantitative Section
Test 5
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="Evaluate the expression: ⎮4x+3y⎮−⎮4x−3y⎮, if x=5 and y=7. " answers="$42$#$82$#$⎻82$#$0$#*$40$ "]
[question text="If David wants to drive to his friend's house, which is 450 miles away, in 6 hours, what is the average speed David has to drive at ? " answers="65 mph#50 mph#*75 mph#60 mph#80 mph "]
[question text="Which one is the equation of a line that passes through the point (4,7) and has slope 1 ? " answers="$x=4$#$y=7$#$x−y=3$#*$x−y=−3$#$x+y=11$ "]
[question text="What is the next number in the following sequence: 3, 5, 10, 12, 24, 26, 52, 54, _ ? " answers="$58$#$104$#$56$#*$108$#$102$ "]
[question text="A hexagon with perimeter 60 has four congruent sides of length t+1. Its other two sides are congruent to each other. What is the length of each of those other sides in terms of t ? " answers="$56+2t$#$28+2t$#*$28-2t$#$56−2t$#$28−t$ "]
[question text="A square has an area of 16 square inches. What is the diagonal of the square? " answers="4$\sqrt{3}$#2#*4$\sqrt{2}$#2$\sqrt{2}$#4 "]
[question text="The volume of a cube is 1,000 cubic centimeters. Using the conversion factor 2.5 centimeters = 1 inch, give its surface area in square inches, rounding to the nearest square inch. " answers="*$96$ square inches#$144$ square inches#$108$ square inches#$75$ square inches#$100$ square inches "]
[question text="Multiply the following complex numbers: (5+i)(5+2i) " answers="*$23+15i$#$27+5i$#$27−15i$#$23+5i$#$23+5i$ "]
[question text="A line segment on the coordinate plane has endpoints (a−5,−b) and (b+8,a−4). In terms of a and b, as applicable, give the y-coordinate of its midpoint. " answers="$a+b+3$#*$\frac{a-b-4}{2}$#$\frac{a+b+3}{2}$#$a-b-4$#$\frac{a+b-4}{2}$ "]
[question text="Two perpendicular lines intersect at the point (5,4). One line passes through point (3,1); the other passes through point (4,Y). Evaluate Y. " answers="$Y=5\frac12$#$Y=3\frac13$#$Y=2\frac12$#*$Y=4\frac23$#$Y=-2\frac12$ "]
[question text="What is the y-intercept of the graph of the function $f(x)=x^2+3x−10?$ " answers="*$(0, −10)$#$the$ $graph$ $has$ $no$ $Y-intercept$#$(0, 3)$#$(0, 12\frac14)$#$(0, 3\frac13)$ "]
[question text="Two perpendicular lines intersect at point (3,8). One line also includes point (4,−1). What is the slope of the other line? " answers="$-\frac19$#$9$#$-9$#Insufficient information is given to answer the question#*$\frac19$ "]
[question text='If x=72° and y=43°, evaluate W. 
' answers="137°#125°#65°#108°#*115° "]
[question text="What is the perimeter of a right triangle with hypotenuse 91 and a leg of length 35? " answers="*210#175#119#126#It cannot be determined from the information given. "]
[question text="The base and height of a right triangle are each 1 inch. What is the hypotenuse? " answers="$2$#*$\sqrt{2}$#$4$#$1$#$0,5$ "]
[question text="The first two terms of an arithmetic sequence are 1,000 and 997, in that order. What is the seventieth term? " answers="1,210#790#1,207#796#*793 "]
[question text="What is the reciprocal of 0.75? " answers="1,25#-1,25#-0,75#$-1\frac13$#*$1\frac13$ "]
[question text="Find the arithmetic mean of the following five numbers: $\frac25$, $\frac15$, $\frac12$, $\frac3{10}$, $\frac25$ " answers="$\frac25$#$\frac6{25}$#$\frac7{25}$#*$\frac9{25}$#$\frac35$ "]
[question text="Simplify the expression: ($\frac12$ $+$ $\frac14$) $\times$ ($\frac12$ $-$ $\frac14$)" answers="*$\frac3{16}$#$\frac18$#$2$#$\frac5{12}$#$\frac5{16}$ "]
[question text="Which of the following operations is equivalent to taking 25% of a number? " answers="Dividing the number by 3#Moving the decimal point one place to the left, then tripling the result#Moving the decimal point one place to the left, then doubling the result#Dividing the number by 5#*Dividing the number by 4 "]
[question text="What percent of 12,000 is 3,300? " answers="28.5%#*27.5%#25%#26%#24.5% "]
[question text="The vertical height (or altitude) of a right cone is 2t. The radius of the circular base of the cone is t. Find the volume of the cone in terms of t. " answers="$\frac13$π$t^3$#π$t^3$#*$\frac23$π$t^3$#$\frac23$π$t^2$#$\frac13$π$t^2$ "]
[question text="The end (base) of a cylinder has an area of 16π square inches. If the height of the cylinder is half of the radius of the base of the cylinder, give the volume of the cylinder. " answers="8π#*32π#16π#32#16 "]
[question text="Simplify: $\frac{1\frac13}{4\frac45}$ " answers="$\frac25$#$\frac4{15}$#*$\frac5{18}$#$\frac14$#$\frac35$ "]
[question text="Simplify: $\frac{5}{1\frac14}$ " answers="$4\frac12$#*$4$#$3\frac34$#$6$#$6\frac14$ "]
[question text="Solve: $3 + 8\div4 - (2\times5)^2$ " answers="*-95#-5#105#$\frac{37}{12}$#$97\frac12$ "]
[question text="Solve: $4593 - 1296$ = " answers="*3297#3397#497#3497#3747 "]
[question text="Solve: $.24 + 2,5 + \frac14$ = " answers="*2,99#6,25#2,29#3,99#4,05 "]
[question text="Evan wants to tip approximately 20% on a $78.45 restaurant tab. Which of the following comes closest to what he should leave?" answers="$20#$22#$18#$14#*$16 "]
[question text="Bob gets paid €5.25 an hour for the regular hours he works and €6 an hour for any overtime hours he works. All hours over 40 in a week are considered overtime. If Bob works 44 hours this week, how much did he make? " answers="€285#€264#*€234#€231#€495 "]
[question text="The menu of a local coffeehouse reads as follows: Espresso €1.79, Cafe Latte €2.19, Cappucino €2.29, Americano €2.39, Turkish €2.09, Iced Tea €1.59. Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and an espresso. The sales tax is five percent. How much change does she receive back for a twenty-euro bill? " answers="*€2.97#€3.78#A twenty-euro bill isn't enough to buy the drinks.#€4.85#€4.59 "]
[question text="What number replaces the circle in this sequence: Ⓞ, ?, 8, 6, 12, 10, 20, 18, 36 ? " answers="8#2#*6#4#0 "]
[question text="Evaluate: $\frac{2^{10}}{2^8}$ " answers="200#*4#2#$\frac85$#64 "]
[question text="Evaluate: ${(-4)^2} + {(-4)^3}$ " answers="-80#48#-1,024#80#*-48 "]
[question text="Express 0.00000000000097 in scientific notation. " answers="$0,97\times10^{-12}$#$0,97\times10^{-13}$#$9,7\times10^{-12}$#$97\times10^{-14}$#*$9,7\times10^{-13}$ "]
[question text="What is the equation of a line that passes through the point (4,7) and has an undefined slope? " answers="$x + y = 11$#$x = 7$#$y = 7$#$y = 4$#*$x = 4$ "]
[question text="Michael scores a 95, 87, 85, 93, and a 94 on his first 5 math tests. If he wants a 90 average, what must he score on the final math test? " answers="90#*86#88#96#84 "]
[question text="What is the decimal equivalent of $\frac{11}{18}$ ? " answers="$0.611$#$0.\overline{61}$#$0.\overline{611}$#*$0.6\overline{1}$#*$0.61$ "]
[question text="Express $\frac{8}{15}$ as a decimal. " answers="*$0.5\overline{3}$#$0.52$#$0,5$#$0.5\overline{8}$#$0.\overline{5}$ "]
[question text="What is the decimal equivalent of $\frac{5}{27}$ ? " answers="*$0.\overline{185}$#$0.1\overline{85}$#$0.186$#$0.185$#$0.18\overline{5}$ "]
[end-test]