SAT Math Test - Training set 3 - Question practice

Aug 25, 2026

Uploaded by Skyler

Training set 3 for SAT Math focuses on multiple-choice problem solving across algebra, functions, geometry, and word problems. The questions cover cost and population growth modeling, percentage-based area composition, systems of equations with parameter constraints, graph interpretation to find possible intersection x-values, exponent and radical simplification, exponential decay rates, and linear-function intercepts. Additional items include circle and tangent geometry, polynomial evaluation with shifted factors, quadratic solution conditions, and applied problems on scaling maps, alloy mass proportions, and pyramid surface-area differences.

LanguageEnglish

CategoryExam

FormatPDF

Pages5

Reading Time13 min

AccessFree to download

Questions

Algebra and Functions

Geometry and Measurement

SAT Math Test.Mastery module 2 Mr. Yokubjon Isaqjonov Training set 3 1. A product’s cost increases by 135 every m months. What expression represents the total cost increase every k years in terms of m? A) ~~4~~5~~5k~~m B) ~~45~~5~~m~~k C) ~~1620~~m~~k~~ D) ~~1620~~k~~m~~ 2. The population of a certain city doubled every 75 years from 1648 to 1948 . The population of this city was 240,000 in 1948 . What was the population of this city in 1648? 3. On a plot of land, 48 .0% of the square footage is farmland, and the remaining square footage is pasture. There are buildings on exactly 21 .5% of the square footage of the farmland, and there are buildings on exactly 19.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p? 4. (yy −x26+.58x + a In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a? 1 Mr.Yokubjon Isaqjonov My telegram channel: @sat 800 5. The figure above shows the graphs of f (x) and g (x) . If f (b) = g (b), which of the following could be the value of b? A) −3 B) 0 C) 1 D) 7 6. In the expression √8 x3m , m is a constant and x > 1. The expression can be rewritten as √5 x. What is the value of m? 7. The function z is defined by: z (w) = (0 .816)2w The value of z(w) decreases by p% for each increase by 1 in the value of w. Which of the following is closest to the value of p? A) 0.184 B) 0.816 C) 18.4 D) 33.4 | Mr.Yokubjon Isaqjonov My telegram channel: @sat 800
8. The table shows three values of x and their corresponding values of g(x), where
f (x) g (x) =
x + 3
and f is a linear function. What is the y-intercept of the graph of y = f (x) in the xy-plane?
x g (x) -27
-9
21 3 0
5
A) (0, 36)
B) (0, 12)
C) (0, 4)
D) (0, -9)
9. The function f(x) = 81(b)x , where b is a positive constant, is given. For every increase in the value of x by 1, the value of f (x) increases by c%, where 0 < c < 100. Which expression gives the value of c in terms of b? | | | --- | --- | | A) 1 + 1~~b~~00
B) b + 100
C) 100(b + 1)
D) 100(b − 1) | | | 10. In the xy-plane, a circle has center C with coordinates (h, k) . Points A and B lie on the circle. Point A has coordinates (h + 1, k + √ 102), and ̸ ACB is a right angle. What is the length of AB?
A) √206
B) 2 √102
C) 103 √2
D) 103 √3
11. A square map has a side length of 55 inches, and 1 inch on the map represents an actual distance of 19 miles. A larger version of the same map is printed as a square with the side length 65% longer than the side length of the previous map. On the larger map, which of the following is closest to the actual distance, in miles, represented by 1 inch?
A) 6.65
B) 11.52
C) 31.35
D) 35.75 | | Mr.Yokubjon Isaqjonov My telegram channel: @sat 800 12. A circle has center G, and points M and N lie on the circle. Line segments MHand NH are tangent to the circle at points M and N, respectively. If the radius of the circle is 168 millimeters and the perimeter of quadrilateral GMHN is 3,856 millimeters, what is the distance, in millimeters, between points G and H? A) 168 B) 1,752 C) 1,760 D) 1,768 13. The function p(x) is defined by p(x) = a((x + 5)2 − b)((x + 5)2 − c), where a, b, and c are constants. In the xy-plane, the graph of y = p (x) passes through the points (−6 , 35) and (0 , 323) . What is the value of p(−10) + p(−4)? 14. For the equation 8rx2 − 80sx + 8r = 0, r and s are constants such that r > 0, s < 0, and ~~r~~s > k. What is the least value of k that ensures the equation has two distinct real solutions? 15. In the equation (x − k)2 = (k − 5a)(x − k), a and k are constants, where k > 5a. The sum of the solutions to the equation is 3k + 21 . What is the value of a? 16. A rectangular region of land is divided into 92 square lots of equal are

FAQs

What topics are included in SAT Math Training set 3?

It includes algebra and functions (growth models, percentages, systems, graph-based questions, radicals/exponents, and polynomials) as well as geometry and measurement (circles, tangents, scaling, and 3D surface area).

How do the problems usually use parameters like a, b, c, m, or r?

They ask for expressions or least/closest values of parameters based on constraints such as “no real solutions,” growth rules, or given function and graph properties.

What math skills are needed for the geometry questions in this set?

The set requires understanding circle geometry (centers, chords, tangents), right angles and distances on coordinate planes, scaling relationships for maps, and surface area calculations for pyramids.

Aug 25, 2026

Uploaded by Skyler