ข้อสอบ SAT Math พร้อมเฉลย มาทดสอบกันพร้อมสอบแค่ไหน?

1. A rectangular prism has a volume of 144 and a surface area of 192. If the shortest edge is 3, what is the length of the longest diagonal through the prism?

13

15

16

14

12

2. A cube has a surface area of 24. If we double the height of the cube, what is the volume of the new rectangular box?

48

32

16

64

8

3. A cube is inscribed inside a sphere of radius 1 such that each of the eight vertices of the cube lie on the surface of the sphere. What is the volume of the cube?

8

$\displaystyle \frac{8\sqrt{3}}{9}$

$\displaystyle \frac{10\sqrt{3}}{7}$

$\displaystyle \frac{7\sqrt{3}}{10}$

$\displaystyle \frac{9\sqrt{3}}{8}$

4.In right $\displaystyle \Delta ABC$ , $\displaystyle \angle ABC = 2x and \displaystyle \angle BCA= \frac{x}{2}$

36

32

30

48

24

5. What is the hypotenuse of a right triangle with side lengths 12 and 16?

14

22

18

20

28

6. One leg of a triangle measures 12 inches. Which of the following could be the length of the other leg if the hypotenuse is an integer length?

15 inches

4 inches

16 inches

12 inches

20 inches

7. Find the perimeter of the polygon.

62

54

68

70

64

8. The lengths of the sides of a right triangle are consecutive integers, and the length of the shortest side is x. Which of the following expressions could be used to solve for x?

$\displaystyle (x)(x+1)=(x+2)^2$

$\displaystyle x^2 + (x+1)^2=(x+2)^2$

$\displaystyle (x+2) - (x+1) = x$

$\displaystyle x^2 + (x+2)^2=(x+4)^2$

$\displaystyle x + x - 3= x$

9. Quantity A: $\displaystyle 5\sqrt{2}$
.Quantity B: The distance between points $P and R$

Quantity B is greater.

Quantity A is greater.

The two quantities are equal.

The relationship cannot be determined from the information provided.

10. In the figure, PQ is the arc of a circle with center O. If the area of the sector is 3πwhat is the perimeter of sector?

$\displaystyle 12 + 2\pi$

$\displaystyle 1 + \pi$

$\displaystyle 12 + \pi$

$\displaystyle 6 + \pi$

$\displaystyle 3+ 2\pi$

11. Let A represent the area of a circle and C represent its circumference. Which of the following equations expresses A in terms of C?

$\displaystyle \frac{\pi C^2}{4}$

$\displaystyle \frac{C}{4\pi}$

$\displaystyle \frac{C^2}{\pi}$

$C^2$

$\displaystyle \frac{C^2}{4\pi}$

12. In the following diagram, the radius is given. What is area of the shaded region?

$\displaystyle 64 x^{2} - 16\pi x^{2}$

$\displaystyle 32 x^{2} - 16\pi x^{2}$

$\displaystyle 64 x^{2} - 8\pi x^{2}$

$16x^{2}$

$\displaystyle 32 x^{2} - 8\pi x^{2}$

13. What line is perpendicular to $y=−2x+5$ through (2,4)?

$\displaystyle x - 2y = 5$

$\displaystyle -x + 2y = 6$

$\displaystyle 3x + y = 4$

$\displaystyle 3x - 2y = 7$

$\displaystyle 2x - y = 3$

14.If two lines have slopes of $\displaystyle -5$ and $\displaystyle \frac{1}{5}$ , which statement about the lines is true?

They don't intersect.

They are perpendicular.

They are parabolas.

They intersect at two points.

They are parallel.

15. $5x+25y = 125$
Which point lies on this line?

(5,1)

(1,5)

(5,5)

(5,4)

(1,4)

16. What is the distance between (3,4) and (8,16)?

12

23

20

17

13

17.Evaluate $x^2 + 3x^3 - y^2 + y +7 when x = -3 and y = 2$

-59

95

-67

None of the other answer choices are correct.

77

18. What is the simplest way to express $\displaystyle \sqrt{3888}$ ?

$\displaystyle 12\sqrt{27}$

$\displaystyle 36\sqrt{3}$

$\displaystyle 2\sqrt{972}$

$\displaystyle 2304\sqrt{2}$

$\displaystyle 144\sqrt{27}$

19. If $5^x + 5^x + 5^x + 5^x = 5^10$ , what is the value of 19. If $x?$

9

5

1

2

10

20. If the side of a square is doubled in length, what is the percentage increase in area?

300%

500%

150%

400%

200%

21. A dress is reduced in price by 35%, but it still doesn't sell, so the manager discounts it by another 10%. What is the total percentage discount?

45%

41.5%

None of the other answer choices are correct.

31.5%

38.5%

22. If 10% of $x$ is equal to 25% of $y$ , and $y$ =16, what is the value of $x?$

6.4

4

40

24

64

23. If 80 percent of $x$ is 200, what is 60 percent 23. $x?$

250

225

200

175

150

24. An item is full-priced at $75. It is reduced by 10%, and then you apply a 25% off coupon to that price. There is a 7% sales tax on your purchase. How much do you pay?

$67.50

$52.16

$50.63

$54.17

$48.75

25. If Ben is taller than Jaime, Mary is taller than Ben, and Chris is taller than Mary. Who is the second tallest?

Ben

Chris

Mary

Not possible to tell

Jaime

26. Laura owns a large property. Her lawn is rectangular. It is 500 meters long, and 350 meters wide. If Laura mows the lawn at a rate of 20,000 meters squared per hour, how many hours will it take Laura to finish mowing the lawn?

7.75

8.75

7.5

9

8.25

27. If $x=\frac{2}{3}$ and $y=\frac{3}{4}$ then what is the value of then what is the value $\frac{x}{y}$

$\frac{8}{9}$

$\frac{1}{2}$

2

$\frac{9}{8}$

$\frac{5}{7}$

28. The sum of four consecutive integers is 210. Which one of these four integers is prime?

51

47

49

53

57

29. How many prime factors of 210 are greater than 2?

four

threee

five

one

two

30.Set A={2,4,6,8,10,12} and Set B={5,6,7,8,9}.
$A\bigcap B$

{6,8}

{ }

{6,7,8}

{6,9}

{5,7,9}

31.What is the average (mean) of $2x+7,3x−10,and −14x+12$

$-3(x + 1)$

$3(x + 1)$

$3(x - 1)$

$4x + 7$

$-3(x - 1)$

32. The average temperature for 6 days in July is $\displaystyle 87^\circ F$ . If on the seventh day, the temperature is $\displaystyle 54^\circ F$ , what is the average temperature over those seven days?

There is not enough information to answer this question.

$\displaystyle 76.0^\circ F$

$\displaystyle 70.5^\circ F$

$\displaystyle 82.3^\circ F$

None of the available answers.

33. If the average of $b+2 is equal to the average of b+4+6. What is the value of b ?$

10

14

8

20

16

34. 9,6,1,6,5,9,8,3

8

1

5

9

6

35. 24, 38, 26, 27, 7, 27, 34, 12, 13

9

23.1

26

7

27

36. 9,6,1,6,5,9,8,3

7

5

8

6

4

37. On Halloween there is a bowl of candy. 33 pieces are gum drops, 24 are candy corn, 15 are suckers and 28 are hard candies. Without looking in the bowl, what are the chances that you pull a gum drop?

0.67

0.5

0.38

0.33

0.49

38. There is a box containing 2 red marbles, 7 blue marbles, and an unknown number of green marbles. If the probably of drawing a red marble is 10%, what is the probably that one draws a green marble?

70%

60%

20%

55%

50%

39. How many different ways can 15 runners receive ribbons in a race if 1st, 2nd, 3rd, and 4th place ribbons are given?

$\displaystyle _{15}P_{4}$

$\displaystyle _{4}C_{15}$

$\displaystyle _{15}C_{4}$

$\displaystyle _{4}P_{15}$

15!

40.There is a classroom of 60 students. $\displaystyle \frac{7}{12}$ of the students are wearing red shirts, $\displaystyle \frac{1}{3}$ of the students are wearing pink shirts, and the rest of the students are wearing orange shirts. What is the probability of randomly selecting the name of a student wearing an orange shirt?

8.3%

$\displaystyle \frac{1}{6}$

$\displaystyle \frac{1}{12}$

$\displaystyle \frac{2}{25}$