Sporting Futures USA | SAT Prep | Math 1.3

Question 1 of 20

1

Which of the following is not a possible value of x?

Select one of the following:

7
5
6
8
9

Explanation

Question 2 of 20

1

Is the center of a circle, and B and C are two points on the circle.

If angle CAB = 20 degrees, and the length of line AB is 4, then what is the length of arc BC?

Select one of the following:

4π / 9
π / 8
π2
π
π / 4

Explanation

Question 3 of 20

1

f(x) = x2 + 2x
g(x) = x + 1

What is f(g(x))?

Select one of the following:

x2 + 2x
(x + 1)2 + 2(x + 1)
(x + 1)2
x2 + 3x
None of these

Explanation

Question 4 of 20

1

What is the next number in this series?

14, 28, 56, ...

Select one of the following:

84
98
114
70
112

Explanation

Question 5 of 20

1

The number of hours you spend playing video games is inversely proportional to the grade you earn on your math test.

If you spent 3 hours playing XBox last night and earned a 50 on your math test today, how many hours of games can you play tonight if you hope to earn a 75 on the retest tomorrow?

Select one of the following:

1.5
4.5
2.0
4.0
3.0

Explanation

Question 6 of 20

1

Supposed x > 1 and:

(x3)(x)1/4 = xn

Which of the following could be the value of n?

Select one of the following:

7/13
7
13/4
12
12/7

Explanation

Question 7 of 20

1

If x + y < 40, and x > 10, then which of the following must be true?

Select one of the following:

y > 0
y < 0
y = 30
y > 30
y < 30

Explanation

Question 8 of 20

1

At Tacoma High each student must be enrolled in at least one of three musical groups: the Jazz Band, the Choir and the Symphonic. Each one of these groups is formed by exactly 150 students. No student belongs to only the Jazz band and the Choir.

If there are 25 students that belong to all 3 musical groups, 40 that are enrolled in the Symphonic and the Choir, and 70 that belong to the Jazz Band and the Symphonic, what percent of the students at Tacoma high belong to only one musical group?

Select one of the following:

55%
70%
53%
60%
75%

Explanation

Question 9 of 20

1

If a = 5 and b = a2, then what is the value of the above expression?

Select one of the following:

4
3
2
5
1

Explanation

Question 10 of 20

1

If the radius of a circle is equal to the length of a side of an equilateral triangle with perimeter 24, then what is one half of the area of the circle?

Select one of the following:

8π
32π
128π
16π
64π

Explanation

Question 11 of 20

1

If w < x < y < z and w > 1, which of the following must be true?

Select one of the following:

w + z > x + y
x - w > z - y
w - z > x - y
zw > yx
(z/w) > (y/x)

Explanation

Question 12 of 20

1

Find the slope of a line perpendicular to the line given below:

-2x + 4y = 8

Select one of the following:

1
-2
2
-1 / 2
1/2

Explanation

Question 13 of 20

1

30 students from BCC and 20 students from PG went to Virginia Beach.

If 50 percent of the BCC students and 80 percent of PG students went swimming, what percent of the group went swimming?

Select one of the following:

46%
65%
62%
50%
30%

Explanation

Question 14 of 20

1

If x is a multiple of 2, 3, and 5, which of the following numbers can x be?

Select one of the following:

200
15
80
210
310

Explanation

Question 15 of 20

1

If the above triangle is similar to another right triangle, and angle c = 110°, then the smallest angle in the similar triangle measures how much?

Select one of the following:

50°
40°
10°
30°
20°

Explanation

Question 16 of 20

1

An equilateral triangle with points (6,0), (-6,0), and (0,12) is moved three units to the right and two units down.

What is the sum of the x and y coordinates of the highest point on the triangle?

Select one of the following:

11
13
7
8
12

Explanation

Question 17 of 20

1

An equilateral triangle with points (6,0), (-6,0), and (0,12) is moved three units to the right and two units down.

What is the sum of the x and y coordinates of the highest point on the triangle?

Select one of the following:

11
13
7
8
12

Explanation

Question 18 of 20

1

A right triangle has legs measuring 6 and 8. A second similar triangle has a hypotenuse measuring 15.

What is the sum of the perimeters of the two triangles?

Select one of the following:

10
36
54
60
9

Explanation

Question 19 of 20

1

A cylindrical aquarium is four stories high and has a width of 10.0 meters.

If one story is 4.00 meters, how many cubic meters of water are in the aquarium?

Select one of the following:

502
1,200
5,024
1,260
1,250

Explanation

Question 20 of 20

1

The number -16 belongs in which of the following sets of numbers?

Select one of the following:

integers and rational numbers
whole numbers and integers
integers only
rational numbers only
whole numbers, integers, and rational numbers

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Sporting Futures USA | SAT Prep | Math 1.3

Sporting Futures USA | SAT Prep | Math 1.3

Question 1 of 20

Which of the following is not a possible value of x?

Select one of the following:

Explanation

Question 2 of 20

Is the center of a circle, and B and C are two points on the circle. If angle CAB = 20 degrees, and the length of line AB is 4, then what is the length of arc BC?

Select one of the following:

Explanation

Question 3 of 20

f(x) = x2 + 2x g(x) = x + 1 What is f(g(x))?

Select one of the following:

Explanation

Question 4 of 20

What is the next number in this series? 14, 28, 56, ...

Select one of the following:

Explanation

Question 5 of 20

The number of hours you spend playing video games is inversely proportional to the grade you earn on your math test. If you spent 3 hours playing XBox last night and earned a 50 on your math test today, how many hours of games can you play tonight if you hope to earn a 75 on the retest tomorrow?

Select one of the following:

Explanation

Question 6 of 20

Supposed x > 1 and: (x3)(x)1/4 = xn Which of the following could be the value of n?

Select one of the following:

Explanation

Question 7 of 20

If x + y < 40, and x > 10, then which of the following must be true?

Select one of the following:

Explanation

Question 8 of 20

Select one of the following:

Explanation

Question 9 of 20

If a = 5 and b = a2, then what is the value of the above expression?

Select one of the following:

Explanation

Question 10 of 20

If the radius of a circle is equal to the length of a side of an equilateral triangle with perimeter 24, then what is one half of the area of the circle?

Select one of the following:

Explanation

Question 11 of 20

If w < x < y < z and w > 1, which of the following must be true?

Select one of the following:

Explanation

Question 12 of 20

Find the slope of a line perpendicular to the line given below: -2x + 4y = 8

Select one of the following:

Explanation

Question 13 of 20

30 students from BCC and 20 students from PG went to Virginia Beach. If 50 percent of the BCC students and 80 percent of PG students went swimming, what percent of the group went swimming?

Select one of the following:

Explanation

Question 14 of 20

If x is a multiple of 2, 3, and 5, which of the following numbers can x be?

Select one of the following:

Explanation

Question 15 of 20

If the above triangle is similar to another right triangle, and angle c = 110°, then the smallest angle in the similar triangle measures how much?

Select one of the following:

Explanation

Question 16 of 20

An equilateral triangle with points (6,0), (-6,0), and (0,12) is moved three units to the right and two units down. What is the sum of the x and y coordinates of the highest point on the triangle?

Select one of the following:

Explanation

Question 17 of 20

An equilateral triangle with points (6,0), (-6,0), and (0,12) is moved three units to the right and two units down. What is the sum of the x and y coordinates of the highest point on the triangle?

Select one of the following:

Explanation

Question 18 of 20

A right triangle has legs measuring 6 and 8. A second similar triangle has a hypotenuse measuring 15. What is the sum of the perimeters of the two triangles?

Select one of the following:

Explanation

Question 19 of 20

A cylindrical aquarium is four stories high and has a width of 10.0 meters. If one story is 4.00 meters, how many cubic meters of water are in the aquarium?

Select one of the following:

Explanation

Question 20 of 20

The number -16 belongs in which of the following sets of numbers?

Is the center of a circle, and B and C are two points on the circle.

If angle CAB = 20 degrees, and the length of line AB is 4, then what is the length of arc BC?

f(x) = x2 + 2x
g(x) = x + 1

What is f(g(x))?

What is the next number in this series?

14, 28, 56, ...

The number of hours you spend playing video games is inversely proportional to the grade you earn on your math test.

If you spent 3 hours playing XBox last night and earned a 50 on your math test today, how many hours of games can you play tonight if you hope to earn a 75 on the retest tomorrow?

Supposed x > 1 and:

(x3)(x)1/4 = xn

Which of the following could be the value of n?

Find the slope of a line perpendicular to the line given below:

-2x + 4y = 8

30 students from BCC and 20 students from PG went to Virginia Beach.

If 50 percent of the BCC students and 80 percent of PG students went swimming, what percent of the group went swimming?

An equilateral triangle with points (6,0), (-6,0), and (0,12) is moved three units to the right and two units down.

What is the sum of the x and y coordinates of the highest point on the triangle?

An equilateral triangle with points (6,0), (-6,0), and (0,12) is moved three units to the right and two units down.

What is the sum of the x and y coordinates of the highest point on the triangle?

A right triangle has legs measuring 6 and 8. A second similar triangle has a hypotenuse measuring 15.

What is the sum of the perimeters of the two triangles?

A cylindrical aquarium is four stories high and has a width of 10.0 meters.

If one story is 4.00 meters, how many cubic meters of water are in the aquarium?