SAT MATH - gonimbus

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The Digital SAT has two Math Modules, each with 35 minutes to solve 22 questions. This quiz is randomly generated to simulate a mix of modules. End of the quiz, we provide answers with the detailed explanation. Score 19+ correct to rank in the top 3% percentile. Keep practicing to improve your score. Use Desmos online calculator if you need, its allowed in the real test : https://www.desmos.com/calculator

Congratulations! In SAT math, scoring all 22 questions correct yields an 800. Missing 1–2 questions results in a 780–790. Missing 3–5 questions gives a 750–780, and 6–10 wrong yields a 700–750.

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Digital SAT Math Quiz

This quiz randomly generates 22 questions as asked in Digital SAT Math.

1 / 22

A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016, there were 180 squirrels in the population. Which of the following equations represents this model, where 𝑛 is the estimated number of squirrels in the population 𝑡 years after the end of 2015 and 𝑡 ≤ 5?

n = 72(1.5)^t

n = 72(2.5)^t

n = 180(1.5)^t

n = 180(2.5)^t

2 / 22

(2x + 5) / (x^2 + 5x + 6)

2x + 5

(x^2 + 5x + 6)

(x^2 + 5x + 6) / (2x + 5)

3 / 22

For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x) ?

x−5 is a factor of p(x)

x−2 is a factor of p(x)

x+2 is a factor of p(x)

The remainder when p(x) is divided by x-3 is -2

4 / 22

For the exponential function 𝑓, the value of 𝑓(1) is 𝑘, where 𝑘 is a constant. Which of the following equivalent forms of the function 𝑓 shows the value of 𝑘 as the coefficient or the base?

f(x) = 50(1.6)^x+1

f(x) = 80(1.6)^x

f(x) = 128(1.6)^x-1

f(x) = 204.8(1.6)^x-2

5 / 22

Simplify expression

x / y

-x / y

2x / y

2 / y

6 / 22

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

(x−8)² + (y − 8)² = 16

(x−8)² + (y − 4)² = 16

(x−4)² + (y − 9)² = 16

(x)² + (y − 9)² = 16

7 / 22

If (ax + 2) (bx + 7) = 15x² + cx + 14 for all values of x, and a + b = 8, what are the two possible values for c ?

3 and 5

6 and 35

10 and 21

31 and 41

8 / 22

In triangle below, if AC=10 , then AB is equal to

5√2

2√5

3√2

10√2

9 / 22

if (x - 1) / 3 = k and k = 3, what is the value of x?

10 / 22

Jack bought party hats and cupcakes for $200. Each package of party hats cost $5, and each cupcake cost $2. If Jack bought 20 packages of party hats, how many cupcakes did he buy?

100

11 / 22

An event planner is planning a party. It costs the event planner a one time fee of $50 to rent the venue and $37.50 per attendee. The event planner has a budget of $500. What is the greatest number of attendees possible without exceeding the budget?

12 / 22

A pediatrician uses the model below to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?

h = 3a +28.6

5.7

14.3

9.5

13 / 22

A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1meter, and no two regions overlap. The students count the earth worms contained in the soil to a depth of 5 centimeters beneath the ground’s surface in each region. The results are shown in the table below.

Which of the following is a reasonable approximation of the number of earth worms to a depth of 5 centimeters beneath the ground’s surface in the entire field?

150

1500

15000

150000

14 / 22

Wyatt can husk at least 12 dozen ears of corn per hour and atmost 18 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk 72 dozen ears of corn?

2-3 Hours

4-6 Hours

1-2 Hours

6-8 Hours

15 / 22

If the two polygons above are similar, what is the value of d?

16 / 22

A circular cylinder has a radius of 3 and a height of 5. Ms. Stewart wants to build a rectangular solid with a volume as close as possible to the cylinder. Which of the following rectangular solids has dimension closest to that of the circular cylinder?

135

17 / 22

If 4x + 2 = 12, what is the value of 2x + 1?

18 / 22

The function f(w) = 4w² gives the area of a rectangle, in square feet(ft²), if its width is w ft and its length is 4 times its width. What is the best interpretation of f(10) = 400?

If the width of the rectangle is 10 ft, then the area of the rectangle is 400ft².

If the width of the rectangle is 10 ft, then the length of the rectangle is 400ft.

If the width of the rectangle is 400 ft, then the length of the rectangle is 10ft.

If the width of the rectangle is 400 ft, then the area of the rectangle is 10ft².

19 / 22

Dad is 42 years old and his son is 10. In how many years will Dad be 3 times as old as his son?

20 / 22

An airplane descends from an altitude of 10,000 feet to 5,000 feet at a constant rate of 500 feet per minute.

What type of function best models the relationship between the descending airplane’s altitude and time?

Decreasing exponential

Decreasing linear

Increasing exponential

Increasing linear

21 / 22

John is twice as old as her sister Jane. Four years ago, John was three times as old. What is John’s current age?

22 / 22

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown. Which of the following equations best represents the line of best fit shown?

y = x + 3.4

y = x - 3.4

y = -x + 3.4

y = -x - 3.4

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