SHSAT 2.4 Math

1. What is the greatest common factor of 90 and 126?

Question 1 of 50

2. John, Mike and Lee each put in money toward buying a boat for $24000. John put in 3 times as much as Lee and Mike put in twice as much as Lee. How much money did Lee put in?

$2,000

$4,000

$4,800

$8,000

$12,000

Question 2 of 50

3. On a number line, point A is located at -3, and point B is located at 12. Point P is $\frac{2}{3}$ of the way from A to B. What is the coordinate of point P?

-1

Question 3 of 50

4. Express $543.2 \times 1,000$ in scientific notation.

$0.5432^6$

$5.432\times10^5$

$5.432\times10^4$

$54.32\times10^4$

$543.2\times10^3$

Question 4 of 50

5. On a number line, points P and Q are 8 units apart. Point R is the midpoint of $\overline{PQ}$ . Point V is the midpoint of $\overline{PR}$ and is located at -3 on the number line. Where is the midpoint of $\overline{VQ}$ located?

-5

-2

-1

Question 5 of 50

6. A hexagon has 2 sides that measure 2x inches, 3 sides that measure 3x inches, and one side that measures 15 inches. If the perimeter of the hexagon is 80 inches, what is the value of x?

$13\frac{1}{2}$

Question 6 of 50

7. What is the value of $-3|x|-2|y|$ if $x=-3$ and $y=5$ ?

-19

-11

-14

-1

Question 7 of 50

8. $\sqrt{36}+\sqrt{81}$

$\sqrt{117}$

$\sqrt{15}$

Question 8 of 50

9. An antivirus computer program automatically runs every 53 hours. If it first runs on Wednesday at 9am, when is the next time it will run?

Thursday at 2am

Thursday at 2pm

Friday at 2am

Friday at 2pm

Friday at 4pm

Question 9 of 50

10. x is a number in the set {0.2, 0.3, 0.4, 1.1, 1.3} and $\frac{3.6}{.72}x$ is an integer. How many possible values of x are there?

Question 10 of 50

11. How many numbers between 1 and 71, inclusive, have 2 as a factor but not 4?

Question 11 of 50

12. If x is a prime number and 20<x<30, what is the mean of all possible values of x?

$24\frac{1}{3}$

$26\frac{1}{3}$

Question 12 of 50

13. Rectangle ABCD is inscribed in circle O. If $\overline{AD}=3$ and $\overline{AB}=4$ , what is the circumference of circle O?

$5\pi$

$7\pi$

$10\pi$

$12\pi$

$14\pi$

Question 13 of 50

14. Jordan has 105 credits that can be used to listen to music online. If it costs 4 credits to listen to music each day, what is the maximum number of consecutive days that Jordan can listen to music online?

101

Question 14 of 50

15. Mike is paid $8.26 per hour for working as a teller in a bank. If he works $5\frac{1}{2}$ hours each day, how much should he be paid for working 5 days?

$28.93

$41.30

$86.73

$206.50

$227.15

Question 15 of 50

16. If $x \rightarrow y \rightarrow z$

means add y to the product of x and z, what is the value of $1 \rightarrow 2 \rightarrow 3$

Question 16 of 50

17. If 17 out of 25 parents want the school trip to be at a museum, then what percent of the parents do not want the trip to be at a museum?

17%

25%

32%

68%

Question 17 of 50

18. The product of 3 different positive integers is 14. What is their sum?

Question 18 of 50

19. A circle has an area of q sq ft and a circumference of t ft. If q=2t, what is the radius of the circle?

$\sqrt2$ ft

2 ft

4 ft

$2\pi$ ft

12 ft

Question 19 of 50

20. If the perimeter of a rectangle is 8 times the width of the rectangle, then the length of the rectangle is how many times the width?

Question 20 of 50

21. For what positive value of x, does
$\frac{x}{9}=\frac{4}{x}$

Question 21 of 50

22. Five consecutive multiples of 6 have a sum of 240. What is the largest of these numbers?

Question 22 of 50

23. What is the area, in square units, of a square that has the same perimeter as the rectangle below?

Question 23 of 50

24. Sebastian is 7 years older than twice his brother’s age. If his brother is 6 years old, how old is Sebastian?

Question 24 of 50

25. A woman has won a $10,000 prize and will share it with her family. She will give 30% to her husband and 20% split up evenly among her 4 children, How much money will each child get?

$20

$500

$1,200

$2,000

Question 25 of 50

26. According to the table above, what is the median number of visitors to the zoo during the 11 days?

28.5

Question 26 of 50

27. If $x=7$ and $y=6$ , what is the value of $3x(y-x)$ ?

-21

276

6174

Question 27 of 50

28. What is the value of a in the figure below?

$20^o$

$30^o$

$35^o$

$40^o$

$60^o$

Question 28 of 50

29. For what value of x is
$3(x-2)=x+4$ ?

Question 29 of 50

30. The probability of drawing a blue marble from a hat of 10 marbles is 3/10. How many blue marbles should be added to the hat to make the probability of drawing a blue marble 1/2?

Question 30 of 50

31. Morgan has a take home test to complete. She completed $\frac{1}{2}$ of the test on Monday and $\frac{1}{5}$ on Tuesday. How much of her test does she have left to complete?

$\frac{1}{10}$

$\frac{2}{7}$

$\frac{3}{10}$

$\frac{4}{15}$

$\frac{9}{10}$

Question 31 of 50

32. The volume of a cube is 8 cubic centimeters. Each side of the cube is increased by 1 centimeter. What is the difference between the volume of the new cube and the volume of the old cube?

8 cu in

11 cu in

16 cu in

19 cu in

27 cu in

Question 32 of 50

33. Bob has x baseball cards. Richard has 5 more than twice the amount of baseball cards as Bob. How many baseball cards do they have all together?

2x+5

3x+5

5X+3

Question 33 of 50

34. The figure below is composed of two semi-circles and one triangle. What is the perimeter of the figure?

$6\pi+10$

$7\pi+7$

$7\pi+10$

$14\pi+7$

$14\pi+10$

Question 34 of 50

35. Julie is 3 times the age of Stephanie. If Stephanie’s age will be 12 in 8 years from now, how old was Julie 2 years ago?

Question 35 of 50

36. Jonathan is trying to save $4,000. So far he saved 65% of his goal. How much more does he have to save?

$1,400

$2,000

$2,600

$2,800

$3,000

Question 36 of 50

37. A tennis ball company needs to package 214 balls into containers of 6. If each container is filled before the next one is filled, how many tennis balls will be left over?

Question 37 of 50

38. Circle O is inscribed in square ABCD. If AB=6 inches How much longer is the perimeter of square ABCD than the circumference of circle O?

$6-6\pi$

$6\pi$

$24-6\pi$

$24-9\pi$

$24-36\pi$

Question 38 of 50

39. If 5 gams equal 2 peds and 5 peds equal 3 rabs, how many gams equal 1 rab?

$\frac{5}{2}$

$\frac{25}{6}$

Question 39 of 50

40. If $x=-2$ and $4x(2y+5x)=32$ , what is the value of $y$ ?

Question 40 of 50

41. $\frac{x}{a}=\frac{b}{x}$

,
If $a=2$ and $b=8$ , what is the value of $x$ ?

Question 41 of 50

42. What is the distance from the midpoint of $\overline{AB}$ to the midpoint of $\overline{CD}$ ?

6.5

10.5

Question 42 of 50

43. William has x songs on his mp3 player and Chris has 110 more songs than 3 times as many songs as William. If Chris has 260 songs, how many songs does William have?

150

Question 43 of 50

44. When each side of a square is increased by 2 units, the area is increased by 20 square units. What is the length of a side of the original square, in units?

Question 44 of 50

45. $(\frac{2}{3}+\frac{1}{5})\div\frac{3}{5}$

$\frac{1}{3}$

$\frac{5}{8}$

$\frac{13}{9}$

$\frac{13}{3}$

$\frac{45}{4}$

Question 45 of 50

46. Mikayla scored a 98 on her first test and a 79 on her second test. What did she get on her third test if her average for the 3 tests was a 92?

95.5

100

Question 46 of 50

47. A square is centered at the origin of a coordinate system. One side of the square is 6 units long. What must be the coordinates of one corner of the square?

(0, 0)

(-6, 6)

(0, 6)

(0,3)

(3, -3)

Question 47 of 50

48. There were 6 black marbles, 5 red marbles and 3 green marbles in a jar. If 4 red marbles are removed from the jar, what is the probability that the next marble removed at random will be green?

$\frac{1}{10}$

$\frac{3}{10}$

$\frac{1}{14}$

$\frac{3}{14}$

$\frac{5}{14}$

Question 48 of 50

49. A classroom had 1 foot of ribbon available for the students to use. Jasmine used 1 inch of ribbon and Hector used 3 inches of ribbon. What is the ratio of the amount of ribbon used to the amount of ribbon remaining?

1:3

1:4

3:1

1:12

1:2

Question 49 of 50

50. If x is an even integer, which of the following cannot be an even integer?

$\frac{x}{2}$

$\frac{x}{3}$

$3x+4$

$5(x+2)$

$2x+3$

Question 50 of 50