Free SAT Math questions

10 questions from across SAT Math, with solutions. The other 1,991 open when you sign in, free for 7 days.

Q1Area and volume· Easy

A rectangular rug is $9$ feet wide and $12$ feet long. What is the area, in square feet, of the rug?

$21$

$42$

$54$

$108$

Q2Circles· Easy

A circle in the $x y$ -plane has the equation $(x + 3)^{2} + (y - 8)^{2} = 25$ . What are the coordinates of the center of the circle?

$(3, - 8)$

$(- 3, - 8)$

$(- 3, 8)$

$(3, 8)$

Q3Evaluating statistical claims: Observational studies and experiments· Easy

The manager of a town's public swimming pool selected $150$ people at random from the list of everyone who bought a summer membership to the pool. Of the people selected, $80%$ said they would like the pool to stay open later in the evening.

Based on this survey, which of the following is the largest population to which the results can be applied?

All residents of the town

All summer members of the pool

Only the $150$ people who were selected

All people who swim at any pool in the town

Q4Equivalent expressions· Easy

Two polynomials are added: $(4 x^{2} + 3 x - 7) + (2 x^{2} - 5 x + 1)$ . Which of the following is the sum, with like terms combined?

$6 x^{2} + 8 x - 6$

$6 x^{2} - 2 x - 6$

$6 x^{4} - 2 x^{2} - 6$

$6 x^{2} - 2 x - 8$

Q5Inference from sample statistics and margin of error· Easy

A high school has $2, 400$ students. A random sample of $160$ of these students was asked whether they would prefer the school day to start later. Of the students in the sample, $48$ said they would prefer a later start. Based on this sample, which of the following is the best estimate of the number of students at the school who would prefer a later start?

$48$

$720$

$1, 680$

$2, 352$

Q6Linear equations in one variable· Easy

If $4 x + 9 = 37$ , what is the value of $x$ ?

$7$

$\frac{23}{2}$

$28$

$46$

Q7Linear equations in two variables· Easy

A bakery sells muffins for $3 each and scones for $4 each. One morning, the bakery sold $m$ muffins and $s$ scones for a total of $180. Which equation represents this situation?

$m + s = 180$

$4 m + 3 s = 180$

$3 m + 4 s = 180$

$7 (m + s) = 180$

Q8Lines, angles, and triangles· Easy

Parallel lines l and m cut by transversal t. At line l, the angle above l and to the right of t measures 63 degrees. At line m, the angle above m and to the right of t is labeled x degrees.

Line $t$ cuts across parallel lines $ℓ$ and $m$ . One angle formed at line $ℓ$ measures $6 3^{\circ}$ , and an angle formed at line $m$ is marked $x^{\circ}$ . What is the value of $x$ ?

$63$

$117$

$126$

$153$

Q9Linear functions· Easy

A linear function $f$ takes an input $x$ and returns the output $4 x - 9$ . What output does $f$ return when the input is $6$ ?

$- 12$

$\frac{15}{4}$

$15$

$33$

Q10Linear inequalities in one or two variables· Easy

A bakery owner will spend at most $200 on flour and sugar. Each bag of flour costs $12, and each bag of sugar costs $8. Which inequality represents the possible numbers of bags of flour, $f$ , and bags of sugar, $s$ , the owner can buy?

$12 f + 8 s \geq 200$

$12 f + 8 s \leq 200$

$8 f + 12 s \leq 200$

$20 (f + s) \leq 200$

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