SAT Practice Questions
Browse free SAT practice questions across Reading, Writing, and Math. Each one opens a study page with the full prompt and worked solution.
SSQB Percentages — Hard
- Math•Q12
The result of increasing the quantity \(x\) by \(1,800 \%\) is \(684\). What is the value of \(x\)?
- Math•Q5
In \(2008\), Zinah earned \(14 \%\) more than in \(2007\), and in \(2009\) Zinah earned \(4 \%\) more than in \(2008\). If Zinah earned \(y…
- Math•Q7
\(210\) is \(p \%\) greater than \(30\). What is the value of \(p\)?
- Math•Q19
A gift shop buys souvenirs at a wholesale price of \(7.00\) dollars each and resells them each at a retail price that is \(290 \%\) of the …
- Math•Q6
The number \(a\) is \(70 \%\) less than the positive number \(b\). The number \(c\) is \(80 \%\) greater than \(a\). The number \(c\) is ho…
- Math•Q22
According to a set of standards, a certain type of substance can contain a maximum of \(0.001 \%\) phosphorus by mass. If a sample of this …
- Math•Q16
\(140\) is \(p \%\) greater than \(10\). What is the value of \(p\)?
- Math•Q14
After \(20 \%\) of the original number of marbles in a group were removed from the group, \(360\) marbles remained in the group. How many m…
- Math•Q4
The number \(a\) is \(190 \%\) greater than the number \(b\). The number \(b\) is \(80 \%\) less than \(24\). What is the value of \(a\)?
- Math•Q17
The number \(w\) is \(110 \%\) greater than the number \(z\). The number \(z\) is \(55 \%\) less than \(50\). What is the value of \(w\)?
- Math•Q24
The number \(a\) is \(60 \%\) greater than the positive number \(b\). The number \(c\) is \(45 \%\) less than \(a\). The number \(c\) is ho…
- Math•Q8
The weight of sample A is \(468 \%\) of the weight of sample B, and the weight of sample A is \(0.780 \%\) of the weight of sample C. If th…
- Math•Q9
The number \(a\) is \(55 \%\) less than the number \(b\). The number \(b\) is \(320 \%\) greater than \(160\). What is the value of \(a\)?
- Math•Q2
The positive number \(a\) is \(2,241 \%\) of the sum of the positive numbers \(b\) and \(c\), and \(b\) is \(83 \%\) of \(c\). What percent…
- Math•Q10
The result of increasing the quantity \(x\) by \(400 \%\) is \(60\). What is the value of \(x\)?
- Math•Q11
The number \(a\) is \(70 \%\) less than the positive number \(b\). The number \(c\) is \(60 \%\) greater than \(a\). The number \(c\) is ho…
- Math•Q20
A scientist studying the life cycle of dragonflies counted the number of dragonflies in a certain habitat each day for \(46\) days. On Febr…
- Math•Q23
\(37 \%\) of the items in a box are green. Of those, \(37 \%\) are also rectangular. Of the green rectangular items, \(42 \%\) are also met…
- Math•Q25
The value of a collectible comic book increased by \(167 \%\) from the end of \(2011\) to the end of \(2012\) and then decreased by \(16 \%…
- Math•Q18
The number of zebras in a population in \(2018\) was \(1.27\) times the number of zebras in this population in \(2014\). If the number of z…
- Math•Q3
The positive number \(a\) is \(230 \%\) of the number \(b\), and \(a\) is \(60 \%\) of the number \(c\). If \(c\) is \(p \%\) of \(b\), whi…
SSQB Probability and conditional probability — Easy
- Math•Q1
Each face of a fair \(14\)-sided die is labeled with a number from \(1\) through \(14\), with a different number appearing on each face. If…
- Math•Q2
The table gives the distribution of votes for a new school mascot and grade level for \(80\) students. If one of these students is selected…
- Math•Q13
A total of \(50\) children attended a summer camp and were offered \(4\) types of sandwiches. The table shows the number of children who ch…
- Math•Q10
On a street with \(7\) houses, \(2\) houses are blue. If a house from this street is selected at random, what is the probability of selecti…
- Math•Q11
\(- 13\), \(4\), \(23\) A data set of three numbers is shown. If a number from this data set is selected at random, what is the probability…
- Math•Q9
For a particular machine that produces beads, \(29\) out of every \(100\) beads it produces have a defect. A bead produced by the machine w…
- Math•Q4
The table summarizes members of a local organization by age and whether they live east or west of the river. If a member of the organizatio…
- Math•Q5
A band with \(45\) members has \(11\) members who play saxophone. If one band member is selected at random, what is the probability of sele…
- Math•Q3
Each rock in a collection of \(70\) rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table. I…
- Math•Q12
There are \(20\) buttons in a bag: \(8\) white buttons, \(2\) orange buttons, and \(10\) brown buttons. If one of these buttons is selected…
- Math•Q6
Each of \(157\) gemstones can be classified as one of three classifications, as shown in the frequency table. If one of the gemstones is se…
- Math•Q7
The table summarizes customers who visited a car dealership in the last month by age and number of visits they made to the dealership. If a…
- Math•Q8
\(- 11\), \(- 9\), \(26\) A data set of three numbers is shown. If a number from this data set is selected at random, what is the probabili…
SSQB Probability and conditional probability — Medium
- Math•Q1
In a bag, there are \(7\) red, \(4\) white, \(33\) blue, and \(33\) yellow cubes. If one of these cubes is selected at random, what is the …
- Math•Q4
At a conference, there are a total of \(275\) attendees. Each attendee is assigned to either group A, group B, or group C. If one of these …
- Math•Q6
The table summarizes the distribution of color and shape for \(100\) tiles of equal area. If one of these tiles is selected at random, what…
- Math•Q5
A box contains \(13\) red pens and \(37\) blue pens. If one of these pens is selected at random, what is the probability of selecting a red…
- Math•Q3
Each vertex of a \(14\)-sided polygon is labeled with one of the \(14\) letters \(A\) through \(N\), with a different letter at each vertex…
- Math•Q2
At a movie theater, there are a total of \(350\) customers. Each customer is located in either theater A, theater B, or theater C. If one o…
SSQB Probability and conditional probability — Hard
- Math•Q2
The table summarizes the distribution of age and assigned group for \(90\) participants in a study. One of these participants will be selec…
- Math•Q3
Set K consists of all the positive integers that are less than or equal to \(160\), where none of the integers are repeated. If a number is…
- Math•Q5
The table summarizes the distribution of age and assigned group for \(90\) participants in a study. One of these participants will be selec…
- Math•Q1
A grove has \(6\) rows of birch trees and \(5\) rows of maple trees. Each row of birch trees has \(8\) trees \(20\) feet or taller and \(6\…
- Math•Q4
The table shows the distribution of two types of flowers at two different sites. If a flower represented in the table is selected at random…
SSQB Ratios, rates, proportional relationships, and units — Easy
- Math•Q1
A printer produces posters at a constant rate of \(42\) posters per minute. At what rate, in posters per hour , does the printer produce th…
- Math•Q6
The population density of Worthington is \(290\) people per square mile. Worthington has a population of \(92,800\) people. What is the are…
- Math•Q22
An object's speed is \(64\text{ yards}\) per second. What is the object's speed, in feet per second? \((1\text{ yard }= 3\text{ feet})\)
- Math•Q23
Tilly earns \(p\) dollars for every \(w\) hours of work. Which expression represents the amount of money, in dollars, Tilly earns for \(39 …
- Math•Q13
How many yards are equivalent to \(77\) rods? \((5.5\text{ yards }= 1\text{ rod})\)
- Math•Q2
A cable provider wanted to know how many of its \(30,000\) customers would be interested in a new service plan. The provider selected \(300…
- Math•Q4
A mechanical device in a workshop produces items at a constant rate of \(60\) items per hour. At this rate, how many items will the mechani…
- Math•Q28
How many teaspoons are equivalent to \(44\) tablespoons? \((3\text{ teaspoons }= 1\text{ tablespoon})\)
- Math•Q30
How many meters are equivalent to \(2,300\) centimeters? \((100\text{ centimeters }= 1\text{ meter})\)
- Math•Q29
The ratio \(x\) to \(y\) is equivalent to the ratio \(12\) to \(t\). When \(x = 156\), what is the value of \(y\) in terms of \(t\)?
- Math•Q20
A certain bird species can fly at an average speed of \(16\) meters per second when in continuous flight. At this rate, how many meters wou…
- Math•Q26
A product costs \(11.00\) dollars per pound. What is the cost, in dollars, for \(6\) pounds of the product?
- Math•Q18
A fish swam a distance of \(5,104\) yards. How far did the fish swim, in miles ? \((1\text{ mile }= 1,760\text{ yards})\)
- Math•Q5
In a box of pens, the ratio of black pens to red pens is \(8\) to \(1\). There are \(40\) black pens in the box. How many red pens are in t…
- Math•Q14
A cherry pitting machine pits \(12\) pounds of cherries in \(3\) minutes. At this rate, how many minutes does it take the machine to pit \(…
- Math•Q19
What length, in centimeters , is equivalent to a length of \(51\) meters? \((1\text{ meter }= 100\text{ centimeters})\)
- Math•Q12
A giant armadillo has a mass of \(39\) kilograms. What is the giant armadillo's mass in grams ? \((1\text{ kilogram }= 1,000\text{ grams})\)
- Math•Q3
A customer spent \(\$ 27\) to purchase oranges at \(\$ 3\) per pound. How many pounds of oranges did the customer purchase?
- Math•Q9
The ratio of the length of line segment \(X Y\) to the length of line segment \(Z V\) is \(6\) to \(1\). If the length of line segment \(X …
- Math•Q17
How many feet are equivalent to \(34\) yards? \((1\text{ yard }= 3\text{ feet})\)
- Math•Q10
A special camera is used for underwater ocean research. When the camera is at a depth of \(58\) fathoms, what is the camera's depth in feet…
- Math•Q21
A special camera is used for underwater ocean research. The camera is at a depth of \(39\) fathoms. What is the camera's depth in feet ? \(…
- Math•Q25
An object travels at a constant speed of \(6\) centimeters per second. At this speed, what is the time, in seconds, that it would take for …
- Math•Q11
How many yards are equivalent to \(612\) inches? \((1\text{ yard }= 36\text{ inches})\)
- Math•Q16
An object travels at a constant speed of \(12\) centimeters per second. At this speed, what is the time, in seconds, that it would take for…
- Math•Q27
How many yards are equivalent to \(1,116\) inches? \((1\text{ yard }= 36\text{ inches})\)
- Math•Q24
A participant in a bicycle race completes the race with an average speed of \(24,816\) yards per hour. What is this average speed, in miles…
- Math•Q7
A wind turbine completes \(900\) revolutions in \(50\) minutes. At this rate, how many revolutions per minute does this turbine complete?
- Math•Q15
A kangaroo has a mass of \(28\) kilograms. What is the kangaroo's mass, in grams ? \((1\text{ kilogram }= 1,000\text{ grams})\)
- Math•Q8
The number of raccoons in a \(131\)-square-mile area is estimated to be \(2,358\). What is the estimated population density, in raccoons pe…
SSQB Ratios, rates, proportional relationships, and units — Medium
- Math•Q5
At a particular track meet, the ratio of coaches to athletes is \(1\) to \(26\). If there are \(x\) coaches at the track meet, which of the…
- Math•Q15
A distance of \(354\) furlongs is equivalent to how many feet ? \((1\text{ furlong }= 220\text{ yards }\text{and }1\text{ yard }= 3\text{ f…
- Math•Q10
The population density of Cedar County is \(230\) people per square mile. The county has a population of \(85,100\) people. What is the are…
- Math•Q13
How many tablespoons are equivalent to \(14\) teaspoons? \((3\text{ teaspoons }= 1\text{ tablespoon})\)
- Math•Q9
A distance of \(61\) furlongs is equivalent to how many feet? \((1\text{ furlong }= 220\text{ yards }\text{and }1\text{ yard }= 3\text{ fee…
- Math•Q14
A triathlon is a multisport race consisting of three different legs. A triathlon participant completed the cycling leg with an average spee…
- Math•Q1
The ratio \(140\) to \(m\) is equivalent to the ratio \(4\) to \(28\). What is the value of \(m\)?
- Math•Q18
An insect moves at a speed of \(\frac{3}{20}\) feet per second. What is this speed, in yards per second? \((3\text{ feet }= 1\text{ yard})\)
- Math•Q4
The ratio \(x\) to \(y\) is equivalent to the ratio \(9\) to \(5\). If the value of \(x\) is \(162\), what is the value of \(y\)?
- Math•Q11
A distance of \(112\) furlongs is equivalent to how many feet? \((1\text{ furlong }= 220\text{ yards }\text{and }1\text{ yard }= 3\text{ fe…
- Math•Q8
The total mass, in kilograms, of \(r\) identical objects is \(t\). Which expression represents the total mass, in kilograms, of \(146 r\) o…
- Math•Q6
An object has a mass of \(168\) grams and a volume of \(24\) cubic centimeters. What is the density, in grams per cubic centimeter, of the …
- Math•Q2
How many fluid ounces are equivalent to \(76\) quarts? \((8\text{ fluid }\text{ounces }= 1\text{ cup }\text{and }4\text{ cups }= 1\text{ qu…
- Math•Q17
A competition consisted of four different events. One participant completed the first event with an average speed of \(20.300\) miles per h…
- Math•Q7
One of a planet's moons orbits the planet every \(252\) days. A second moon orbits the planet every \(287\) days. How many more days does i…
- Math•Q16
One side of a flat board has an area of \(874\) square inches. If a pressure of \(19\) pounds per square inch of area is exerted on this si…
- Math•Q19
For a certain rectangular region, the ratio of its length to its width is \(35\) to \(10\). If the width of the rectangular region increase…
- Math•Q12
For the values \(j\) and \(k\), the ratio of \(j\) to \(k\) is \(11\) to \(12\). If \(j\) is multiplied by \(17\), what is \(k\) multiplied…
- Math•Q3
If \(\frac{x}{y} = 4\) and \(\frac{24 x}{n y} = 4\), what is the value of \(n\)?
SSQB Ratios, rates, proportional relationships, and units — Hard
- Math•Q1
A sample of oak has a density of \(807\) kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of \…
- Math•Q5
The density of a certain type of wood is \(353\) kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has…
- Math•Q6
A certain town has an area of \(4.36\) square miles. What is the area, in square yards , of this town? \((1\text{ mile }= 1,760\text{ yards…
- Math•Q11
For an electric field passing through a flat surface perpendicular to it, the electric flux of the electric field through the surface is th…
- Math•Q14
The density of a certain solid substance is \(813\) kilograms per cubic meter. A sample of this substance is in the shape of a cube, where …
- Math•Q8
An area of \(46.00\) square nautical miles is equivalent to \(k\) square kilometers. To the nearest tenth, what is the value of \(k\)? \((1…