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="Mikaela earns a base hourly rate of £7 per hour babysitting. However, if a babysitting assignment lasts longer than 4 hours, she earns £8 per hour for each hour she babysits after the first 4 hours. How much money does Mikaela earn if she babysits 4 hours on Friday, 6 hours on Saturday, and 5 hours on Sunday? " answers="£105#*£108#£115#£120#£124 "]

[question text="If one fourth of the weight of a bag of sugar is 1.25 pounds, the weight of four bags of sugar of the exact same weight can be determined by multiplying 1.25 by which of the following? " answers="$\frac15$#$\frac14$#$\frac54$#$4$#*$16$ "]

[question text="Combine and simplify:  $(3x^{3}+8x-4)-(-5x^{3}+6x-10)$ " answers="$-2x^{3}+14x-14$#$2x^{3}-2x-6$#$8x^{3}+14x-14$#$8x^{3}-2x+14$#*$8x^{3}+2x+6$ "]

[question text="Write the following fractions in the correct increasing sequence:  $\frac49, \frac58, \frac6{15}$ " answers="$\frac58,\frac6{15}, \frac49$#$\frac58,\frac49,\frac6{15}$#*$\frac6{15},\frac49,\frac58$#$\frac6{15}, \frac58, \frac49$#$\frac49$, $\frac6{15}$, $\frac58$ "]

[question text="Write the following fractions in the correct increasing sequence:  $\frac9{11}, \frac56, \frac79$ " answers="$\frac9{11}, \frac56, \frac79$#$\frac9{11}, \frac79, \frac56$#$\frac79, \frac56, \frac9{11}$#*$\frac79, \frac9{11}, \frac56$#$\frac56, \frac79, \frac9{11}$ "]

[question text="Find the missing number in the sequence: _, 31, 38, 45, 52 " answers="$23$#*$24$#$25$#$26$#$27$ "]

[question text="Find the missing number in the sequence: _, –8, 32, –128 " answers="*2#–2#–4#4#8 "]

[question text="Calculate the fifth term in the sequence that begins : $1, \frac23, \frac13, 0$, _ " answers="*$-\frac13$#$-\frac23$#$-1$#$-\frac32$#$-2$ "]

[question text="Calculate the fifth term in the sequence that begins : $1\frac14, \frac34, \frac14, -\frac14$, _ " answers="$-1\frac34$#$-1\frac12$#$-1\frac14$#$-1$#*$-\frac34$ "]

[question text="Lindsay is collecting quarters. She saves one quarter on the first day, two quarters on the second day, and three quarters on the third day. If this pattern continues, how much money will Lindsay have saved at the end of 14 days? " answers="$25.25#*$26.25#$26.75#$27.25#$28.25 "]

[question text="Ronaldo begins a weight-lifting regimen by bench-pressing 25 pounds the first week, 30 pounds the second week, and 35 pounds the third week. If he keeps increasing the weight each week by the same amount, on what week in his weight-lifting regimen will Ronaldo bench press 65 pounds? " answers="Week 6#Week 7#Week 8#*Week 9#Week 10 "]

[question text="If Jarold deposits $\$100$ in a bank account that will double his money every 20 years, after how many years will his bank account be worth $\$1,600$? " answers="5#10#50#*80#100 "]

[question text="Lucy begins a weight-loss program with a goal of losing 25 pounds in no more than eight weeks. If she loses 2 pounds in the first week, how many pounds per week must she lose for the rest of the program? " answers="Between 0.5 and 1 lb#Between 1 and 1.5 lbs#Between 1.5 and 2 lbs#Between 2.5 and 3 lbs#*Between 3 and 3.5 lbs "]

[question text="Evaluate the expression: $25\div(2+3)\times4-10$ " answers="–30# –8.75#*10#11.25#30 "]

[question text="The result of the calculation of this fraction   $\frac{71,254}{689}$   is approximately which of the following? " answers="11#13#*100#1,100#1,300 "]

[question text="If 12 × B = 24, then 24 – B = " answers="$0$#$\frac1{24}$#$2$#$12$#*22 "]

[question text="When 7,497 is divided by 198, the result is closest to which one of the following? answers="25#30#*40#45#450 "]

[question text='Based on the figure provided, approximately how much snow accumulated during the 7 hours? ' answers="6 in#11 in#20 in#*23 in#24 in "]

[question text="0.025 × 30 = " answers="0.0075#0.075#*0.75#7,5#75 "]

[question text="If Z > 3, then 5Z + 7 could be " answers="19#20#21#22#*23 "]

[question text="$(-\frac32)^3$ " answers="$\frac96$#$\frac{27}8$#$-\frac96$#$-\frac98$#*$-\frac{27}8$ "]

[question text="A large square box is made up of smaller square boxes. Each of these smaller boxes has a side length of 4 inches. How many of these smaller boxes are used to create the larger box if the larger box’s base has a perimeter of 32 inches? " answers="4#*8#16#64#124 "]

[question text="Evaluate: (–15) + (–19) + 39 " answers="–73#–5#0#*5#73 "]

[question text="What is the value of the greatest of four consecutive integers if the greatest is three less than one-third of the least? " answers="–9#*–6#0#6#9 "]

[question text="The perimeter of a hexagon is 42 units. If the length of each side is reduced by 3 units, what is the perimeter of the new figure? " answers="20#*24#30#36#39 "]

[question text='What fraction of the people chose Documentary? ' answers="$\frac38$#$\frac14$#$\frac15$#$\frac3{20}$#*$\frac18$ "]

[question text="The number of people who chose Romance is what percent of the number of people who chose Thriller? " answers="25%#50%#67%#*75%#90% "]

[question text="A particular entrance is 84 inches tall. Kyle is planning a costume party and wants to enter the room through this doorway. If Kyle is 1.5 meters tall, the tallest hat he can place on his head and still be able to walk through the doorway without his hat touching the frame of the entrance must be less than which of the following? (1 m = 39 in) " answers="24 in#25 in#*25.5 in#39 in#58.5 in "]

[question text="Carol works 60 yards from the coffee shop, and Mike works 80 yards from the same coffee shop. What is the distance, in yards, from Carol’s place of work to Mike’s place of work? " answers="10 yards#20 yards#100 yards#140 yards#*It cannot be determined from the information given. "]

[question text="$\frac{{3}^{-2}a^2b^{-4}}{{9c}^3d^{-6}}=$ " answers="$\frac{a^2c^3}{{81}b^{-4}d^{-6}}$#$\frac{{a}^2}{3b^{-4}c^3d^{-6}}$#*$\frac{a^2d^6}{{81}c^3b^4}$#$\frac{a^2d^6}{{18}c^3b^4}$#$\frac{a^2d^6}{c^3b^4}$ "]

[question text="$5\overline{)855}=$ " answers="$\frac85+\frac55+\frac55$#$\frac{80}5+\frac{55}5$#$\frac{850}5+5$#*$\frac{800}5+\frac{50}5+\frac55$#$\frac{800}5\times\frac{50}5\times\frac55$ "]

[question text="For a certain number, 40% of that number is 240. What is 60% of that number? " answers="60#100#260#*360#2400 "]

[question text="The length of a rectangle is four times its width. If the perimeter of the rectangle is 50, what is the area of the rectangle? " answers="5#10#20#50#*100 "]

[question text='In the figure, P is the center of the circle, and triangle QPR is a right triangle with vertices Q and P on the circle. If the circumference of the circle is 12π, what is the area of the shaded region? ' answers="$36 – 18π$#$18π – 36$#*$9π – 18$#$18 – 9π$#It cannot be determined from the information given. "]

[question text="Which of the following gives the value, in cents, of a dimes, b quarters, and 6 pennies? " answers="$\frac{10}a+\frac{25}b+1$#$\frac{10}a+\frac{25}b+6$#$10a+10b+6$#$10a+25b+1$#*$10a+25b+6$ "]

[question text="If 70% of 3k is 12, what is 35% of 6k? " answers="2#6#*12#24#28 "]

[question text="What is the fifth term of the following sequence? $1$, $\frac14$, $-\frac12$, $-\frac54$, _" answers="$-\frac52$#$-\frac74$#*$-2$#$-\frac94$#$-\frac92$ "]

[question text="A survey found that each of 400 people has a smart phone, a tablet, or both. If 350 of these people have smart phones, and 150 have tablets, how many people have both a smart phone and a tablet?" answers="50#*100#150#200#250 "]

[question text="If y is an integer greater than 1, which of the following is greatest? " answers="$y+2$#*$2y+2$#$2y-2$#$y+\frac1y$#$\frac{y+1}y$ "]

[question text="What is the sum of the exterior angles of an equilateral triangle? "60°#90°#120°#240°#*360° "]

[question text="Alexandra plans to give a stapler to each of her 17 new employees. Four staplers come in a box. How many boxes of staplers must she buy? " answers="3#4#*5#6#13 "]

[question text="$100$ - $39\frac34$ = " answers="$59\frac34$#*$60\frac14$#$60\frac12$#$60\frac34$#$61\frac14$ "] 

[question text="A wire that is $8$ and $\frac23$ yards long can be cut into how many $2$ foot long pieces? " answers="4#5#*13#16#26 "]

[question text="Calculate $10a$ + $b^2$ when a = 4 and b = 5 " answers="40#45#*65#66#95 "]

[question text="Sarah receives a standard rate of £12 for every flower bouquet she assembles. When she makes more than 15 bouquets in a week, Sarah makes £16 per bouquet for every bouquet after the 15th one she assembles. How much will Sarah make during a week in which she assembles 19 flower bouquets? " answers="£228#*£244#£260#£266#£304 "]

 [question text="$4\frac34+3\frac14+4\frac34$= " answers="11.75#12.25#12.50#*12.75#13.25 "]

[question text="The average length of two female hamsters is 4.1 inches, and the average length of six male hamsters is 5.3 inches. What is the average length, in inches, of all eight hamsters? " answers="1.175#2.93#4.7#*5#6 " ]

[question text='On the number line above, $−\frac{15}4$ falls between which of the following two numbers? ' answers="0 and –1#–1 and –2#–2 and –3#*–3 and –4#–4 and –5 "]

[question text='Among those who rated dalmatians their favorite, what is the approximate fractional part from suburban areas? ' answers="$\frac3{20}$#$\frac6{10}$#$\frac12$#*$\frac{13}{20}$#$\frac7{10}$ "]

[question text="If 20,000 people selected bulldogs as their favorite breed of dog, approximately how many more suburban people than rural people chose that breed? " answers="*2,000#4,000#6,500#13,000#15,000 "]

[question text="Kelsey is participating in a walk-a-thon to raise money for a charity. Her parents are going to contribute twenty cents after she walks one mile, forty cents after she walks two miles, and sixty cents after she walks three miles. If her parents continue to donate money in this manner, how much money will Kelsey’s parents contribute to her charity if Kelsey walks 26 miles? " answers="$68.00#$68.20#$70.00#*$70.20#$71.20 "]

[question text="Select the inequality represented by the statement “The sum of five times a number and two times a different number is less than or equal to 44.“ " answers="5x + 2x ≤ 44#5x × 2y ≤ 44#*5x + 2y ≤ 44#5x × 2y ≥ 44#5x + 2y ≥ 44 "]

[question text='If the line segment AB is 24 meters long, based on the figure, how long is line segment CB? ' answers="6 m#8 m#12 m#*16 m#18 m "]

[question text="$-2(-5)^2$= " answers="–100#*–50#–20#50#100 "] 

[question text='Approximately what percent of the figure is shaded? ' answers="15%#33%#50%#66%#*75% "] 

[question text="If two numbers, P and Q, have an average of 80, and P – Q ≠ 0, which of the following must be true? " answers="P + Q = 80#P – Q = 40#P =30 and Q = 50#*80 – P = Q – 80#80 + P = Q + 80 "]

[question text="At the beginning of March, Alice gave Luke 40% of her baseball card collection. At the end of that month, she decides to give Luke 40% of the remaining cards in her baseball card collection. Out of her original collection, what percent of it does Alice still have? " answers="20%#24%#*36%#60%#80% "]

[question text="Amy is selling a concert ticket for 55% of the price. If Amy paid $72.75, including tax, for the ticket, which amount is the closest to how much Amy is charging to sell the ticket? " answers="$32.00#$33.00#$36.00#$36.50#*$40.00 "]

[question text="Combine and simplify: $(6x^5-2x^3+8)-(4x^5-x^4+3x^2+12)$ " answers="$2x^5-x^4-x^3+20$#$2x^5-x^4+x^3-4$#$2x^5+x^4-2x^3+3x^2-4$#$2x^5+x^4-5x^3+20$#*$2x^5+x^4-2x^3-3x^2-4$ "]

[question text="Let b represent the base of a rectangle. If the height of the rectangle is 4 less than the base, which expression would represent the perimeter of the rectangle? " answers="$2b – 4$#$2b – 8$#$4b – 4$#*$4b – 8$#$b^2 – 4$ "]

[question text="Simplify the variable expression: $\frac{12k^3s^2u^4}{{30}ks^2u^3}$ " answers="$\frac{k^2u}{3}$#$\frac{2u}{5k}$#$\frac{2k^2s^2u}{5}$#*$\frac{2k^2u}{5}$#$\frac{3k^3s^2u^4}{5ks^2u^3}$ "]

[question text="The average of five consecutive even integers is 12. What is the greatest of these integers? " answers="8#10#13#14#*16 "]

[question text="If p + q is divisible by 13, which of the following is also divisible by 13? " answers="*$(p\times3)+(q\times3)$#$\frac{p\times{q}}{13}$#$(p\times13)+q$#$p+(q\times{13})$#*$(p\times{q})-13$ "]

[question text='What could be the sum of M, N, P, and Q if each letter represents a different digit? ' answers="*18#17#16#13#10 "]

[end-test] 

 

STOP
IF YOU FINISH BEFORE TIME IS CALLED,
YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY.
DO NOT TURN TO ANY OTHER SECTION IN THE TEST.