| ACT Math I |
| #1 |
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, about how much was the gas for this car to travel 2,727 typical miles? |
$408.04 |
| #2 |
A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How many hours of work are included in a $210 bill for a consultation? |
4 |
| #3 |
What is the value of x when 2x + 3 = 3x – 4 ? |
7 |
| #4 |
The expression (4z + 3)(z and#8722; 2) is simplified to: |
4z2 and#8722; 5z and#8722; 6 |
| #5 |
If 40% of a given number is 8, then what is 15% of the given number?![](</strong></td>
<td width="300" valign="top"><strong>3.0</strong></td>
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<td align="center" bgcolor="#FFFF00" colspan="3"><strong>ACT Math II</strong></td>
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<td width="40" align="center" valign="top"><strong>#1</strong></td>
<td valign="top"><strong>Janelle cut a board 30 feet long into 2 pieces. The ratio of the lengths of the 2 pieces is 2:3. What is the length,to the nearest foot, of the shorter piece? </strong></td>
<td width="300" valign="top"><strong>12</strong></td>
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<td width="40" align="center" valign="top"><strong>#2</strong></td>
<td valign="top"><strong>Cube A has an edge length of 2 inches. Cube B has an edge length double that of Cube A. What is the volume, in cubic inches, of Cube B ?</strong></td>
<td width="300" valign="top"><strong>64</strong></td>
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<td width="40" align="center" valign="top"><strong>#3</strong></td>
<td valign="top"><strong>(3x3)3 is simplified to:</strong></td>
<td width="300" valign="top"><strong>27x^9</strong></td>
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<td width="40" align="center" valign="top"><strong>#4</strong></td>
<td valign="top"><strong>A hot-air balloon 70 meters above the ground is falling at a constant rate of 6 meters per second while another hot-air balloon 10 meters above the ground is rising at a constant rate of 15 meters per second. To the nearest tenth of a second, after how many seconds will the 2 balloons be the same height above the ground?</strong></td>
<td width="300" valign="top"><strong>2.9</strong></td>
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<td width="40" align="center" valign="top"><strong>#5</strong></td>
<td valign="top"><strong>A hiking group will go from a certain town to a certain village by van on 1 of 4 roads, from the village to a waterfall by riding bicycles on 1 of 2 bicycle paths, and then from the waterfall to their campsite by hiking on 1 of 6 trails. How many routes are possible for the hiking group to go from the town to the village to the waterfall to their campsite?</strong></td>
<td width="300" valign="top"><strong>48</strong></td>
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<td align="center" bgcolor="#FFFF00" colspan="3"><strong>TRIVIA</strong></td>
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<td width="40" align="center" valign="top"><strong>#1</strong></td>
<td valign="top"><strong>What does ACT stand for?</strong></td>
<td width="300" valign="top"><strong>American College Testing</strong></td>
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<td width="40" align="center" valign="top"><strong>#2</strong></td>
<td valign="top"><strong>What did SAT stand for?</strong></td>
<td width="300" valign="top"><strong> Scholastic Aptitude Test</strong></td>
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<td width="40" align="center" valign="top"><strong>#3</strong></td>
<td valign="top"><strong>What does SAT stand for now?</strong></td>
<td width="300" valign="top"><strong>Nothing</strong></td>
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<td width="40" align="center" valign="top"><strong>#4</strong></td>
<td valign="top"><strong>Dont guess on me, it) |
SAT |
| #5 |
Educated guesses and guesses are better than leaving me blank |
ACT |
| SAT Math |
| #1 |
A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability that a senior's name will be chosen? |
3/8 |
| #2 |
What is the result when 436,921 is rounded to the nearest thousand and then expressed in scientific notation? |
4.37 x 10^5 |
| #3 |
For the first part of his bike trip, Dag rode down a hill at X miles per hour for T hours. For the rest of his trip, Dag rode up a hill at half that speed for twice as long. What was Dag's average speed, in miles per hour, for his entire trip? |
2/3X |
| #4 |
A wire bent in the form of a circle of radius 21units is cut and bent to form a square. What is the ratio of area of circle to that of the square? |
14:11 |
| #5 |
A shopkeeper has three kinds of rice of 77 pounds, 147 pounds and 252 pounds. Find the least number of bags of equal size required to pack them without mixing. |
68 |
| SAT Math II |
| #1 |
A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8 and 16, what is the surface area of the cube? |
384 |
| #2 |
Twenty persons, among whom A and B, sit at random around a round table. Find the probability that there are any 6 persons between A and B. |
2/19 |
| #3 |
The flowers in a basket become double after every minute. In one hour, the basket becomes full. After how many minutes the basket would be half filled? |
59 |
| #4 |
A person had 72 mangoes, he had given them to three persons A, B and C, in such a manner that A got thrice as many as B, and the sum total of mangoes A and B got was 60. He had given the remaining mangoes to C. Express in decimal the fraction of mangoes C got out of the total. |
.167 |
| #5 |
A monkey climbs a slippery pole by thrusts. The pole is 30 feet high. With every thrust, it goes up 5 feet in 5 seconds and slips down 3 feet in 1 second. How many seconds will it take to climb the pole? |
82 |
