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# Tip #23 to Get a Top ACT Math Score (page 2)

By Brian Leaf
McGraw-Hill Professional

1. D When a picture is described, draw it. Nobody can just visualize this and get an answer. Don't be a hero here; draw a diagram.
2. Since AB = 8 and AC = 8 + 8 = 16, AD must be between 8 and 16, so only choice D works.

3. H When a picture is described, draw it. Not even your math teacher, the one who walks around running his finger along the walls muttering math calculations to himself, could solve this one in his head. Draw a somewhat neat diagram, and it's easy! Plus, using a diagram avoids careless errors. Notice that the answer choices are far enough apart that a fairly neat diagram will show you which answer choice is correct!
4. C First, label the info from the question into the diagram. Then ask yourself if the diagram seems accurate. Yes, it does, because DB does look like half of EB, and DC looks like a little less than DB, so the numbers work. Then if the geometry jumps out at you, by all means do it, and after our geometry Skills coming up, they probably will, but you can also "Use the Diagram!" Since EA looks longer than CD but shorter than EB, it must be between 6 and 14. That only leaves choices C and D. Pretty cool, huh? Now, is it C or D? Well, EA is only slightly longer than DC, not almost double, so I'd go with choice C, which is correct! Sometimes "Use the Diagram" is enough to get the right answer; sometimes it's just a plan B to narrow it down, when you can't decide how to get it with geometry Skills.
5. G This is a great "Use the Diagram" question! First, label the info from the question into the diagram. To do this question the "math class way" would require using both the midpoint formula and the distance formula, which we certainly know how to do from Skill 17. But we can save a ton of time by just looking at the diagram and the answer choices. Connect point P to Q. Then sketch a point halfway between them, the midpoint of the segment. Then connect point M to that midpoint. Voilà! Now, how long does that segment look, based on the fact that MP is 4? It looks about the same, actually. Then look at the choices. Wait, none of them say 4. Do we panic? No, convert them into decimals. Aha! Choice G is about 4.

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