10 Hard SAT Math Questions (Part - 18)

Question 1 :

In the xy-plane, there are 3 points a, b, and c. Point a has coordinates of (1, 0), point b has coordinates of (0, 0) and point c has coordinates of (-1, 0). Which of the following gives a possible angle measure, in radians of ∠abc?

A) 456π/6

B) 459π/6

C) 462π/6

D) 468π/6

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Question 2 :

Two data Sets A and B have 56 values in total. The average of the two data sets is 193. Data set A contains 32 values with an average of 208. What is the average of data set B?

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Question 3 :

Lines k and ℓ are perpendicular. If the points (4, m) and (9, m + 3) lie on line k and lines k and ℓ intersect at (9, m + 3), which of the following can lie on line ℓ?

A) (m – 6, –4)

B) (m + 9, 24)

C) (21, m – 17)

D) (24, m + 12)

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Question 4 :

Data set A consists of 37 different values that have a minimum of 230, a maximum of 278, a mean of 244, and a standard deviation of 9. The values 230 and 278 are removed from the data set to create data set B. Which of the following statements is true?

A) Both the mean and standard deviation of data set B are less than those in data set A.

B) Both the mean and standard deviation of data set B are greater than those in data set A.

C) The standard deviation of data set B is less than the standard deviation in data set A but the mean of both data sets is the same.

D) The standard deviation of data set B is greater than the standard deviation in data set A but the mean of both data sets is the same.

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Question 5 :

If a > 0, x² + y² = a and xy = a – 10, what is (x + y)² in terms of a?

A) a – 20

B) 2a – 10

C) 2a – 20

D) 3a – 20

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Question 6 :

Rectangle A has a width of 50 feet and a length of 45 feet and is located inside rectangle B. A uniform distance x, in feet, separates the sides of rectangle A from rectangle B. The area of rectangle B is 2646 square feet, what is the value of x?

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Question 7 :

f(x) = 200(b)^x. When x increases by 1, f(x) increases by c %. Which of the following expresses c in terms of b?

A) c = 200b/100

B) c = 2b/100

C) c = (b + 1)100

D) c = (b - 1)100

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Question 8 :

A 34 pound dog eats two types of canned food : chicken and beef. The recommended amount of the chicken food is 1.25 cans per 16 pounds a dog weighs per day. The recommend amount of canned beef food is 0.85 cans per 23 pounds a dog weighs per day. If c is the number of cans of chicken food and b is the number of cans of beef food a 34 pound dog eats in a given day. Which equation describes all possible values of c and d?

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Question 9 :

A quadratic function models the height, in feet, of an object above the ground in terms of time, in seconds, after the object is launched. The model indicates the object launched from the ground (0 feet) and reaches its maximum height of 576 feet above the ground 12 seconds after being launched. Based on the model, what is the height, in feet, of the object above the ground 16 seconds after being launched?

A) 384

B) 432

C) 480

D) 512

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Question 10 :

A small business owner budgets $3,600 to purchase timber each year. The owner must purchase a minimum of 345 slats of timber each year to maintain the discounted pricing. If the owner pays $7.25 to purchase each slat of pine pulpwood and $24.75 to purchase each slat of pine sawtimber, what is the maximum number of slats of pine sawtimber the owner can purchase to stay within the budget and maintain the discounted pricing?

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