MATH

1. What is the area of the six-sided figure above?
(a) 26
(b) 28
(c) 30
(d) 34
(e) 40

3. In the Venn diagram above, the number in each region indicates how many elements are in that region. How many elements are in the intersection of sets Y and Z?
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(a) 26
(b) 28
(c) 30
(d) 34
(e) 40
2. If (x
– 2)2 = 25 and x < 0, what is the value of x?
(a) -23
(b) -7
(c) -5
(d) -3
(e) -2

(a) 3
(b) 7
(c) 10
(d) 16
(e) 25
4. If m = t3 for any positive integer t, and if w = m2 + m, what is w in terms of t?
(a) t2 + t
(b) t3
(c) t3 + t
(d) t5 + t3
(e) t6 + t3
5. In the xy-coordinate plane, lines l and q are perpendicular. If line l contains the points (0, 0) and (2, 1), and line q contains the points (2, 1) and (0, t), what is the value of t?
(a) -3
(b) -2
(c) 2
(d) 3
(e) 5
CRITICAL REASONING
Instructions: Each sentence below has one or two blanks, each blank indicating that something has been omitted. Beneath the sentence are five words or sets of word labeled A through E. Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.
1. The movie’s plot was ____: once you knew what befell the hero, you could ____ the fate of the villain.
(a) Convincing . . misinterpret
(b) Misleading . . anticipate
(c) Predictable . . foresee
(d) Ironic . . endorse
(e) Spellbinding . . ignore
2. Scientists wonder what to do with the dead satellites, jettisoned rockets, drifting plant flecks, and other _____ orbiting Earth.
(a) Flotsam (b) reconnaissance (c) decimation (d) raiment (f) sustenance
3. Although aging brings about profound physiological changes, it does not often alter an individual’s _____: an irascible thirty year old will probably still be _____ at seventy.
(a) disposition . . cantankerous
(b) anatomy . . churlish
(c) outlook . . benevolent
(d) personality . . laconic
(e) stature . . robust
4. The commentator characterized the electorate as ______ because it was unpredictable and given to constantly shifting moods.
(a) Mercurial (b) corrosive (c) disingenuous (d) implacable (e) phlegmatic
5. The biologist’s description of the wolf pack was truly ______, devoid of any emotion or personal prejudice.
(a) Dispassionate (b) insubstantial (c) esoteric (d) capricious (e) indignant
Find the answers here
Instructions: Each sentence below has one or two blanks, each blank indicating that something has been omitted. Beneath the sentence are five words or sets of word labeled A through E. Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.
1. The movie’s plot was ____: once you knew what befell the hero, you could ____ the fate of the villain.
(a) Convincing . . misinterpret
(b) Misleading . . anticipate
(c) Predictable . . foresee
(d) Ironic . . endorse
(e) Spellbinding . . ignore
2. Scientists wonder what to do with the dead satellites, jettisoned rockets, drifting plant flecks, and other _____ orbiting Earth.
(a) Flotsam (b) reconnaissance (c) decimation (d) raiment (f) sustenance
3. Although aging brings about profound physiological changes, it does not often alter an individual’s _____: an irascible thirty year old will probably still be _____ at seventy.
(a) disposition . . cantankerous
(b) anatomy . . churlish
(c) outlook . . benevolent
(d) personality . . laconic
(e) stature . . robust
4. The commentator characterized the electorate as ______ because it was unpredictable and given to constantly shifting moods.
(a) Mercurial (b) corrosive (c) disingenuous (d) implacable (e) phlegmatic
5. The biologist’s description of the wolf pack was truly ______, devoid of any emotion or personal prejudice.
(a) Dispassionate (b) insubstantial (c) esoteric (d) capricious (e) indignant
Find the answers here