12 Free Questions. Updated Monthly.

Answer three questions from each SAT Math domain, then check your score and explanations when you finish.

Algebra

Question 1Linear models from a tableMedium

A tank is draining at a constant rate. The table gives the amount of water remaining. How many liters were in the tank when draining began?

Data for this question
Time (minutes)	Water (liters)
2	658
5	646

Question 2An expression from a systemHard

The equations 3x + 2y = 529 and x − 2y = 307 have solution (x, y). What is the value of 8x?

Question 3Strict inequalities and whole-number constraintsHard

A club has $1342. Renting a room costs $46, and each supply kit costs $12. The club must have more than $24 left. What is the greatest number of kits it can buy?

Advanced Math

Question 1A quadratic maximum in contextMedium

A rectangular display has width x meters and length 222−x meters. What is the greatest possible area, in square meters?

Question 2A tangent line and a parabolaHard

The system y=x² and y=208x−k has exactly one solution. What is k?

Question 3Equivalent forms reveal an initial valueHard

A population model is P(t)=515·2^(t+3). Which equivalent expression displays the value at t=0 as its coefficient?

Problem Solving & Data Analysis

Question 1Conditional probability from a two-way tableMedium

One of the students who walks to school is selected at random. What is the probability that this student is in Year 11?

Data for this question
Year	Walks	Other travel
11	309	412
12	206	206

Question 2Reverse successive percentagesHard

A store increases an item's price by 25%, then reduces the new price by 20%. The final price is $888. What was the original price, in dollars?

Question 3An unknown value with mean and rangeHard

The five values 103, 106, 109, b, c are listed in increasing order. Their mean is 111 and their range is 20. What is b?

Geometry & Trigonometry

Question 1Surface area to volumeMedium

A cube has surface area 64896 square centimeters. What is its volume, in cubic centimeters?

Question 2Completing the square for a circleHard

The equation x²+y²−206x+6y=618 represents a circle. What is its radius?

Question 3Similarity and an indirect measurementHard

A small triangle has sides 6, 8, and 10. A similar larger triangle has perimeter 2472. What is the area of the larger triangle?

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