SAT Practice Test 2: SAT Math
44 questions · 2 modules · 35 minutes each · calculator and formulas on screen · score and step-by-step answers
How it works
- Like the digital SAT Math section: 2 modules of 22 questions, 35 minutes each. Module 2 is a little harder. Solve it right here on the screen: no sign-up.
- One question at a time. Use Back and Next, or the question list at the bottom. Mark for review the ones you want to look at again.
- A timer counts down (you can hide it; it shows again in the last 5 minutes). At 0:00 the module ends. Before you submit a module, Check your work shows what is answered.
- Most questions have 4 choices. For 14 questions you type the answer: a whole number, a fraction like 7/2 or a decimal like 3.5. No mixed numbers (3 1/2 is read as 31/2), no units, no $ or %. A decimal that does not fit 5 characters (6 with a minus sign) is cut to fit: 2/3 can be 2/3, .6666 or .6667.
- Tools: a calculator and a reference sheet of formulas, at the top of the screen. A wrong answer costs nothing, so answer every question.
- At the end: your score estimate (200-800), your result in each area, and every question marked right or wrong, with your answer, the right answer and its step-by-step solution.
Your answers are kept in this browser, so you can close the page and come back.
Reference sheet
- Circle: A = πr2, C = 2πr
- Rectangle: A = ℓw
- Triangle: A = 12bh
- Pythagoras: c2 = a2 + b2
- 30°-60°-90° triangle: sides x, x√3, 2x
- 45°-45°-90° triangle: sides s, s, s√2
- Box: V = ℓwh
- Cylinder: V = πr2h
- Sphere: V = 43πr3
- Cone: V = 13πr2h
- Pyramid: V = 13ℓwh
- Angles: a circle has 360° = 2π radians; the angles of a triangle add up to 180°
Module 1
1 Question 1
7x − 4 = 24. What is the solution to the given equation?- A) 207
- B) 4
- C) 28
- D) 196
2 Question 2
The price of a book goes up from $40 to $50. By what percent did the price go up?Type the answer.
3 Question 3
A bike rental costs $10 plus $4 per hour. Mia paid $34. How many hours did she rent the bike?Type the answer.
4 Question 4
Which expression is equivalent to x9x3?- A) x3
- B) x6
- C) x12
- D) x27
5 Question 5
A triangle has angles of 48°, 75° and x°. What is the value of x?Type the answer.
6 Question 6
The function g is defined by g(t) = 4t + 9. What is the value of g(−2)?- A) −17
- B) 1
- C) 11
- D) 17
7 Question 7
Which equation shows the line through the points (2, 1) and (4, 7)?- A) y = 3x − 5
- B) y = 3x + 1
- C) y = 3x + 5
- D) y = 6x − 11
8 Question 8
x2 + 2x − 15 = 0. What are the solutions to the given equation?- A) −15 and 1
- B) −5 and 3
- C) −3 and 5
- D) 3 and 5
9 Question 9
A $200 bike goes down 10%, then down 10%. What is the new price?- A) $38
- B) $160
- C) $162
- D) $180
10 Question 10
x + y = 10, x − y = 4. What is the solution (x, y) to the given system of equations?- A) (3, 7)
- B) (7, −3)
- C) (7, 3)
- D) (14, −4)
11 Question 11
Which expression is equivalent to (x − 5)2?- A) x2 + 25
- B) x2 − 5x + 25
- C) x2 − 10x + 25
- D) x2 − 10x − 25
12 Question 12
3(x + 4) = 27. What is the solution to the given equation?Type the answer.
13 Question 13
A car is worth $20000, and its value goes down by 15% each year. Which equation gives the value V of the car, in dollars, t years from now?- A) V = 20000(0.15)t
- B) V = 20000(0.85)t
- C) V = 20000(1.15)t
- D) V = 20000 − 0.15t
14 Question 14
A pet shop has cats and dogs. Cats: 16 live indoors, 4 outdoors. Dogs: 10 live indoors, 20 outdoors. A dog is picked at random. What is the probability that this dog lives indoors?- A) 15
- B) 13
- C) 513
- D) 23
15 Question 15
If 3x + 12 = 27, what is the value of x + 4?Type the answer.
16 Question 16
A right triangle has a hypotenuse of 13 meters and one leg of 5 meters. What is the length of the other leg, in meters?Type the answer.
17 Question 17
6x + 1 = 4. What is the solution to the given equation?- A) 12
- B) 65
- C) 2
- D) 18
18 Question 18
In the equation x2 − 12x + c = 0, c is a constant. The equation has exactly one solution. What is the value of c?- A) −6
- B) 6
- C) 36
- D) 144
19 Question 19
In the system of equations 2x + 5y = 4 and 6x + ky = 7, k is a constant. The system has no solution. What is the value of k?- A) 5
- B) 10
- C) 15
- D) 35
20 Question 20
In triangle PQR, angle R is a right angle and cos P = 5/13. What is the value of sin Q?- A) 512
- B) 513
- C) 1213
- D) 135
21 Question 21
The functions f and g are defined by f(x) = x2 − 3 and g(x) = 2x + 1. What is the value of f(g(2))?Type the answer.
22 Question 22
4(x − 1) = kx + 7. In the given equation, k is a constant. The equation has no solution. What is the value of k?Type the answer.
Module 2
1 Question 1
2(x − 3) = 4x + 10. What is the solution to the given equation?- A) −8
- B) −132
- C) 83
- D) 8
2 Question 2
Five test scores are 82, 90, 75, 88 and 95. What is the mean of the scores?Type the answer.
3 Question 3
What is the value of 272/3?- A) 3
- B) 9
- C) 18
- D) 729
4 Question 4
The table shows a linear relationship between x and y. x: 1, 2, 3, 4. y: 7, 11, 15, 19. Which equation shows this relationship?- A) y = x + 6
- B) y = 3x + 4
- C) y = 4x + 3
- D) y = 4x + 7
5 Question 5
A 30°-60°-90° triangle has a shorter leg of length 4. What are the lengths of its hypotenuse and its longer leg?- A) hypotenuse 4√2, long leg 4
- B) hypotenuse 8, long leg 4√2
- C) hypotenuse 8, long leg 4√3
- D) hypotenuse 8, long leg 8√3
6 Question 6
Which equation shows y = x2 − 8x + 10 in vertex form?- A) y = (x − 8)2 − 54
- B) y = (x − 4)2 − 6
- C) y = (x − 4)2 + 10
- D) y = (x + 4)2 − 6
7 Question 7
Shop A charges $24 plus $6 per box. Shop B charges $10 per box. After how many boxes do the two shops cost the same?- A) 4
- B) 6
- C) 12
- D) 24
8 Question 8
A lunch costs $40. The tip is 15%. What is the total cost?- A) $6
- B) $34
- C) $46
- D) $55
9 Question 9
A ball is thrown up from the ground. Its height after t seconds is h = −16t2 + 80t feet. When does it land?Type the answer.
10 Question 10
3x + y = 4 and 12x + ky = 16 have infinitely many solutions. Find k.Type the answer.
11 Question 11
2x + 3 = 64. What is the solution to the given equation?- A) 3
- B) 6
- C) 9
- D) 32
12 Question 12
Two shapes are similar. A length on the small shape is 2, and the matching length on the large shape is 6. The small shape has an area of 5. What is the area of the large shape?Type the answer.
13 Question 13
Which expression is equivalent to x2 − 25x − 5?- A) x − 25
- B) x − 5
- C) x + 5
- D) x2 − 5
14 Question 14
The line of best fit for a scatterplot is y = 3x + 2. One of the data points is (4, 11). What is the residual for this point?- A) −3
- B) 3
- C) 11
- D) 14
15 Question 15
If 2x − 3y = 5, what is the value of 6x − 9y?- A) 5
- B) 10
- C) 15
- D) 45
16 Question 16
What is the average rate of change of f(x) = x2 from x = 1 to x = 5?- A) 4
- B) 6
- C) 24
- D) 26
17 Question 17
3x + 2y = 16, x − 2y = 0. What is the solution (x, y) to the given system of equations?- A) (2, 4)
- B) (4, −2)
- C) (4, 2)
- D) (16, 8)
18 Question 18
The angles of a triangle measure 2x°, 3x° and 5x°. What is the value of x?- A) 10
- B) 18
- C) 36
- D) 54
19 Question 19
The table shows values of the function g. x: −2, −1, 0, 1, 2. g(x): 7, 4, 1, −2, −5. What is the value of g(1)?- A) −5
- B) −2
- C) 1
- D) 4
20 Question 20
In the equation cos x° = sin 28°, x is between 0 and 90. What is the value of x?Type the answer.
21 Question 21
What is the remainder when x3 − 4x2 + 2x + 5 is divided by x − 3?- A) −64
- B) 2
- C) 5
- D) 74
22 Question 22
2(3x − 4) = kx − 8. In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?Type the answer.
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