DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 118)

Problem 1 :

The graph above shows the density, in kilograms per liter, of Liquid X at different temperatures. Based on the graph, which of the following is the mass, in kilograms, of 10 liters of Liquid X at 9 degrees celsius?

A)  6

B)  60

C)  600

D)  6000    

Solution :

Problem 2 :

In the figure above, the circle has center O and segment AB is tangent to the circle. If angle ABO measures π/10 radians and the area of the shaded sector is π, what is the area of the circle?

A)  5π

B)  6π

C)  8π

D)  9π

Solution :

Problem 3 :

A person’s maximum heart rate, in beats per minute, can be estimated by the expression 220 – x, where x is the person’s age in years for 20 ≤ x ≤ 70. If it is generally recommended that at least 50%, but not more than 80% of the maximum heart rate be reached during exercise, which of the following inequalities represents the target heart rate h, in beats per minute, for a 30-year-old?

A)  105 ≤ h ≤ 152

B)  105 ≤ h ≤ 180

C)  95 ≤ h ≤ 152

D)  95 ≤ h ≤ 180

Solution :

Problem 4 :

A scoop of sugar is added to a drink. The amount of sugar a in grams that is dissolved in the drink s seconds after the sugar has been added is represented by the equation below.

What is the best interpretation of the number 8 in this context?

A) There was 8 grams of sugar already dissolved in the drink before the scoop of sugar was added.

B)  Every 8 seconds, all the added sugar will be dissolved in the drink.

C) After 8 seconds, all the added sugar will be dissolved in the drink.

D) After a very long time, the amount of sugar dissolved in the drink will approach 8 grams.

Solution :

Problem 5 :

The bar chart above shows the distribution of jean sizes for 45 customers at Store A and 45 customers at Store B. Which of the following correctly compares the standard deviation of jean sizes for the customers at each of the stores?

A) The standard deviation of jean sizes for the customers at store A is larger.

B) The standard deviation of jean sizes for the customers at store B is larger.

C) The standard deviation of jean sizes for the customers at store A and Store B is the same.

D) The relationship cannot determined from the information given.

Solution :

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