Digital SAT Math Practice Test with Answers (Part - 8)

Question 1 :

Intersecting lines r, s and t are shown below.

What is the value of x?

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Question 2 :

Martin took a random sample of fast food orders at a local restaurant and found that 30 percent of the orders in the sample included fries. Out of 550 orders at the same restaurant, what would be the estimated number of orders that do NOT include fries?

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Question 3 :

There are 50 questions on a quiz given to a class of students. Only 20% of the class answered all the questions on the quiz. Of the remaining students, half answered two-fifths of the questions and other half answered three-fifths. What was the average number of questions answered on this quiz?

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Question 4 :

In the figure above, AD = 3, BD = 6, and BC = 15. What is the area of trapezoid ADEC?

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Question 5 :

The chart shows the commission structure for the salespeople at a given company. Each salesperson’s monthly salary can be calculated by using the formula S = 2,400 + cx, where S is the monthly salary, in dollars, c is the commission rate, and x is the salesperson’s sales, in dollars, for the given month. A salesperson with 1 year of experience earns $4,500 in salary during one month. He would have earned $9,960 in salary during that month, if he had how many more years of experience? 

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Question 6 :

A grocery store uses crates to store a total of 36a apples and 24w watermelons. Each crate can be used to store either 12 apples or 6 watermelons. Which of the following expressions gives the total number of crates the grocery store uses to store apples and watermelons?

Answer :

Question 7 :

The figure above shows a regular hexagon. If the length of AB is 4, what is the area of the hexagon?

A)  24

B)  24√3

C)  32

D)  32√3

Answer :

Question 8 :

In the xy-plane above, the two graphs intersect at two points. What is the value of b?

A)  1

B)  2

C)  3

D)  4

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Question 9 :

Which of the following is equivalent to the expression above?

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Question 10 :

The surface area S of a cylinder with radius r and height h is S = 2πr² + 2πrh. If the surface area of the cylinder is 20π and the height is 3, what is the value of r ?

A)  1

B)  2

C)  3

D)  4

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Question 11 :

The ratio for the kinetic energy between two objects of mass m₁ and m₂ before and after the collision is given above. Which of the following is equivalent to the expression for m₁?.

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Question 12 :

In the given system of equations, p and q are constants and p > 0. The system has infinitely many solutions. What is the value of p + q?

A)  19√33/110

B)  22√33/110

C)  25√33/110

D)  27√33/110

Answer :

Question 13 :

The table above shows three values of x and their corresponding y-values for a linear relationship between x and y. The x-intercept of the line occurs at x = - 5. The number m is a negative constant and n is a constant. What is the value of mn?

A)  -64

B)  -48

C)  -36

D)  -12

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Question 14 :

The data above represents how Class Buck and Class Mow performed in their midterm results. Which of the following cannot be true about the two classes represented in the table above?

A)  The median of Class Buck and Class Mow is 75%.

B)  The mean of Class Mow is greater than the mean of Class Buck. 

C)  The standard deviation of Class Mow is higher than the standard deviation of Class Buck.

D)  The median of Class Buck is 57.6%

Answer :

Question 15 :

In triangle ABC, angle C is a right angle, and point D is located on hypotenuse AB. A line segment DE is drawn parallel to side AC, forming a smaller triangle DBE within triangle ABC. The length of AC is 54 units and the length of segment DE is 18 units. If the area of triangle ABC is 1,458 square units, what is the area of triangle DBE?

A)  54 square units

B)  108 square units

C)  162 square units

D)  324 square units

Answer :

Question 16 :

Two right triangles are shown in the figure above. What is the value of b in terms of a?

A)  2a

B)  2a√2

C)  4a

D)  4a√2

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Question 17 :

Esposito tried to compute the average of his 10 math scores. He mistakenly divided the correct total S of his scores by 8. The result was 5 more than what it should have been. Which of the following would determine the value of S?

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Question 18 :

If the slope of line m in the xy-plane above is ⅓, what is the area of quadrilateral OECD?

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Question 19 :

Claire and Peter both want to buy new smart phones. Claire has already saved 100 dollars and plans to save 5 dollars per week until she can buy the phone. Peter has 25 dollars and plans to save 8 dollars per week. In how many weeks will Claire and Peter have saved the same amount of money?

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Question 20 :

(a – 8)x² + (b – 5)x + c + 2 = 0

In the equation above, a, b and c are constants. If the equation is true for all real values of x, what is the value of  a + b + c?

Answer :

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