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Math 009

1: There are four identical coins with an image of a mountain on one side and an ocean on the other. When all four coins are tossed, what is the probability of simultaneously getting the four mountains or four oceans?

One out of two chances
One out of four chances
One out of eight chances
One out of twelve chances
One out of sixteen chances

2: Tom built a shallow cylinder-shaped container that has a diameter of 2' 4" and a height of 3". Approximately how many gallons of water can the container hold? Please note, one gallon equals 231 cubic inches.

1 and 9/10 gallons
5 and 9/10 gallons
2 and 2/3 gallons
8 gallons
None of the above

3: There is a combined total of 1,000 individual members registered for an anime club and a manga club. Of the 1,000 members, 632 are registered for the anime club. If less than half of the 1,000 members are registered with both clubs, which of the following could represent the number of registered members in the manga club?

368
499
632
All of the above
None of the above

4: In a stationary store, there are 45 blue pens, 25 red pens, and some black pens. The stationary store carries no other pens. If 20% of all pens in the stationary store are red, how many black pens are there?

55
45
125
70
50

5: If 7/8 = (n-5)/40, then n = ?

10
20
30
40
None of the above

6: 3/4 of T is divided equally into four groups. If each group loses 3/4 of the amount it receives, which of the following represents the amount that is lost by one of the groups?

9T/16
9T/64
3T/4
3T/16
3T/64

7: 20000, 4000, 800, 160... is a sequence where each number after the 1st number is 1/5 of the number preceding it. What is the 8th number in this sequence?

0.256
0.25
1.25
1.28
6.4

8: Line segment YV bisects angle XYZ, and line segment YW bisects angle VYZ. If the measure of angle XYZ is 100 degrees, what is the measure of angle XYW?

25
45
50
65
None of the above

9: Given a box of candies, if Stacey takes 1/5 of the candies, Liz takes 1/3 of the candies, and 35 candies are leftover, how many candies were originally in the box?

65
75
90
100
125

10: The average (arithmetic mean) of the test score in group A is 65, and the average test score of group B is 82. When the scores of both groups are combined, the average test score is 74. What is the value of A/B?

9/8
8/9
17/74
65/82
8/10

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