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SAT-Math Level 1 Sample Questions

SAT Test incorporates Critical Reading, Math, and Writing section, with a particular number of inquiries identified with content. Moreover, there is one 25-minute unscored section, known as the variable or equating segment. This unscored area might be either critical reading, math, or writing multiple-choice section.

 

Math Sample Questions

1. The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?
A) 299 m plus 261 j greater or equal than 1 comma 000
B) 299 m plus 261 j greater than 1 comma 000
C) 299 over m plus 261 over j greater or equal than 1 comma 000
D) 299 over m plus 261 over j greater than 1 comma 000

2. A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, “How many minutes per day do you typically spend reading?” The mean reading time in the sample was 89 minutes, and the margin of error for this estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?
A) 40 randomly selected undergraduate psychology-degree program students
B) 40 randomly selected undergraduate students from all degree programs at the college
C) 300 randomly selected undergraduate psychology-degree program students
D) 300 randomly selected undergraduate students from all degree programs at the college

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Questions 3–5 refer to the following information.

3. The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown.

The figure presents a graph of a scatterplot titled “Height of Nine People and Length of Their First Metacarpal Bone,” and a line. The horizontal axis is labeled “Length of first metacarpal bone,” in centimeters, and the vertical axis is labeled “Height,” in centimeters. There are equally spaced horizontal gridlines labeled, from bottom to top, 155 through 185, in increments of 5. There are equally spaced vertical gridlines labeled, from left to right, 4 through 5, in increments of zero point five. A straight line of best fit starts on the leftmost vertical axis at 4 comma 161.5 and stops at the intersection of the rightmost vertical gridline at 5 comma 180. There are 9 data points in the graph. From left to right, the coordinates are as follows: First point: 4 comma 157, Second point: 4.1 comma 163, Third point: 4.3 comma 175, Fourth point: 4.5 comma 171, Fifth point: 4.6 comma 173, Sixth point: 4.7 comma 173, Seventh point: 4.8 comma 172, Eighth point: 4.9 comma 183, and Ninth point: 5 comma 178

How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?
A) 2
B) 4
C) 6
D) 9

4. Which of the following is the best interpretation of the slope of the line of best fit in the context of this problem?
A) The predicted height increase in centimeters for one centimeter increase in the first metacarpal bone
B) The predicted first metacarpal bone increase in centimeters for every centimeter increase in height
C) The predicted height in centimeters of a person with a first metacarpal bone length of 0 centimeters
D) The predicted first metacarpal bone length in centimeters for a person with a height of 0 centimeters

5. Based on the line of best fit, what is the predicted height for someone with a first metacarpal bone that has a length of 4.45 centimeters?
A) 168 centimeters
B) 169 centimeters
C) 170 centimeters
D) 171 centimeters

Answers

(1) 299 m plus 261 j greater or equal than 1 comma 000
(2) 300 randomly selected undergraduate psychology-degree program students
(3) 4
(4) The predicted height increase in centimeters for one centimeter increase in the first metacarpal bone
(5) 170 centimeters

6. Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights?
A) left parenthesis 99.5 plus 0.08 x right parenthesis plus 5
B) 1.08 open parentheses 99.95 x close parentheses plus 5
C) 1.08 open parentheses 99.95 x plus 5 close parentheses
D) 1.08 open parentheses 99.95 plus 5 close parentheses x

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7.

The figure presents the graph of a circle, a parabola, and a line in the xy plane. The horizontal axis is labeled x, the vertical axis is labeled y, and the origin is labeled O. The integers negative 3 through 3 appear on both axes. The circle has its center at the origin and radius of about two point two. The parabola has its vertex on the y-axis at negative 3 and opens up. The circle and parabola intersect at four points, of which two are below the x-axis and two are above the x-axis. Of the two points of intersection below the x-axis, one is to the left of the y-axis and one is to the right of the y-axis. Of the two points of intersection above the x-axis, one is to the left of the y-axis and one is to the right of the y-axis. The line slants upward and to the right, and passes through two of the four points of intersection where the circle and parabola meet, one below the x-axis and to the left of the y-axis, and one above the x-axis to the right of the y-axis. In other words, the three graphs intersect at two points.

 

table row cell x squared end cell plus cell y squared end cell equals 5 row y equals cell x squared end cell minus 3 row x minus y equals 1 end table

A system of three equations and their graphs in the xy-plane are shown above. How many solutions does the system have?
A) One
B) Two
C) Three
D) Four

8. The table below classifies 103 elements as metal, metalloid, or nonmetal and as solid, liquid, or gas at standard temperature and pressure.

Solids Liquids Gases Total
Metals 77 1 78
Metalloids 7 7
Nonmetals 6 1 11 18
Total 90 2 11 103

What fraction of all solids and liquids in the table are metalloids?

9. If minus 9 over 5 less than minus 3 t plus 1 less than minus 7 over 4 comma what is one possible value of 9 t minus 3 ?

10. What are the values of x and y if 2x–3y=4 and 3y–8x–2=0
(A) x=1 and y=2
(B) x= –1 and y= –2
(C) x= –1 and y=2
(D) x=1 and y= –2
(E) None of these

Anwers

(6) 1.08 open parentheses 99.95 x close parentheses plus 5
(7) Two
(8) 7/29
There are 7 metalloids that are solid or liquid, and there are 92 total solids and liquids. Therefore, the fraction of solids and liquids that are metalloids is 7/92.
(9) Any value greater than 21/4 and less than 27/5
Recognizing the structure of this inequality provides one solution strategy. With this strategy, a student will look at the relationship between minus 3 t plus 1 and 9 t minus 3 and recognize that the latter is −3 multiplied by the former.
Multiplying all parts of the inequality by −3 reverses the inequality signs, resulting in 27/5 greater than 9 t minus 3 greater than 21/4 comma or rather 21/4 less than 9 t minus 3 less than 27/5 when written with increasing values from left to right. Any value greater than 21/4 and less than 27/5 is correct.
(10) x= –1 and y= –2

 

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