SAT Subject Math Level 1 Practice Test 4

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Question 20 questions

Time 24 minutes

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1.

If the two squares shown in Figure above are identical, what is the degree measure of angle ADE?

A. 120
B. 135
C. 150
D. 165
E. 175

2. Points and C are collinear. If B is the midpoint of line segment AC, approximately what are the (x, y) coordinates of point C?

A. (3.71, 1.13)
B. (3.71, 5.73)
C. (7.41, -7.46)
D. (10.59, -7.46)
E. (10.59, 5.73)

3. What is the solution set to the equation 4 + x2 =2x2 - 5?

A. {x: x =3}
B. {x: x =-3}
C. {x: x =±3}
D. {x: x =-1}
E. {x: x =1}

4. Which of the following triplets can be the lengths of the sides of a triangle ?

A. 2, 3, 5
B. 1, 4, 2
C. 7, 4, 4
D. 5, 6, 12
E. 9, 20, 8

5. Figure6

In Figure6, If sin x = 0.500, what is the approximate value of tanx?

A. 0.577
B. 0.707
C. 1.000
D. 1.155
E. 2.000

6. Figure7

In Figure7, If line has a slope of 1 and passes through the origin, which of the following points has (x,y) coordinates such that

A. A
B. B
C. C
D. D
E. E

7. On a recent chemistry test, the average (arithmetic mean) score among 5 students was83, where the lowest and highest possible scores were 0 and 100,respectively. If the teacher decides to increase each student's score by2 points, and If none of the students originally scored more than 98,which of the following must be true?

After the scores are increased, the average score is 85.

When the scores are increased, the dIf ference between the highest and lowest scores increases.

After the increase, all 5 scores are greater than or equal to 25.

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

8. If a> b and c > d, which of the following must betrue?

A. ac > bd
B. a + b >c + d
C. a + c >b + d
D. a - b >c - d
E. ad > bc

9. 1-2sin2θ - 2 cos2θ =

A. -2
B. -1
C. 0
D. 1
E. 2

10. Sheila leaves her house and starts driving due south for 30 miles, the n drives due west for 60 miles, and finally drives due north for 10 miles to reach her office. Which of the following is the approximate straight-line distance, in miles, from her house to her office?

A. 63
B. 67
C. 71
D. 75
E. 80

11. If f(x) = x2 - 1, g(x) =(x - 1)-1, and x ≠ 1, the nf(x)g(x) =

A. 2x + 1
B. x + 1
C. x - 1
D. x3 -1
E. 2x - 1

12. If an empty rectangular water tank that has dimensions 100 centimeters, 20centimeters, and 40 centimeters is to be filled using a right cylindrical bucket with a base radius of 9 centimeters and a height of 20 centimeters, approximately how many buckets of water will it take tofill the tank?

A. 14
B. 16
C. 18
D. 20
E. 22

13. Sarah is scheduling the first four periods of her school day. She needs to fill those periods with calculus, art, literature, and physics, and each of the se courses is offered during each of the first four periods. How many dIf ferent schedules can Sarah choose from?

A. 1
B. 4
C. 12
D. 24
E. 120

14.

In Figure above,is parallel to. What is the approximate length of?

A. 2.33
B. 2.67
C. 3.33
D. 3.67
E. 6.67

15. If what is the domain?

A. All real numbers
B. All x such thatx ≥ 2
C. All x such thatx ≤ -2
D. All x such that -2≤ x ≤ 2
E. All x such thatx ≤ -2 or x ≥ 2

16. What is the area of a triangle with vertices (1,1), (3,1), and (5,7)?

A. 6
B. 7
C. 9
D. 10
E. 12

17. Which of the following inequalities is equivalent to -2(x + 5) <-4?

A. x > -3
B. x < -3
C. x > 3
D. x < 3
E. x > 7

18. If for which of the following values of n does in + (-i )n have a positive value?

A. 23
B. 24
C. 25
D. 26
E. 27

19. The maximum value of the function f(x) = 1 - cos x between 0and 2π is

A. 0
B. 1
C. 1.5
D. 2
E. 2.5

20.

In Figure above, If y > 60 and AB = BC, which of the following must be true?

a + y = 180

y > z

a = y + z

A. I only
B. II only
C. III only
D. I and II
E. II and III