1. Rectangle \(\)R\(\) has length \(\)30\(\) and width \(\)10\(\), and square \(\)S\(\) has length \(\)5\(\). The perimeter of \(\)S\(\) is what fraction of the perimeter of \(\)R\(\) ?
2. If \(\)\frac{ d-3n }{ 7n-d }\(\) which of the following statements describes \(\)d\(\) in terms of \(\)n\(\)?
(A) \(\)d\(\) is \(\)4\(\) less than \(\)n\(\)
(B) \(\)d\(\) is \(\)4\(\) more than \(\)n\(\)
(C) \(\)d\(\) is \(\)\frac{ 3 }{ 7 }\(\) of \(\)n\(\)
(D) \(\)d\(\) is \(\)2\(\) times \(\)n\(\)
(E) \(\)d\(\) is \(\)5\(\) times \(\)n\(\)
3.
| Quantity A | Quantity B |
| \(\)2*{ 10 }^{ 1 } + 3*{ 10 }^{ 0 } + 4*{ 10 }^{ -1 } + 5*{ 10 }^{ -2 }\(\) | \(\)1*{ 10 }^{ -3 } + 2*{ 10 }^{ -2 } + 3*{ 10 }^{ -1 } + 4*{ 10 }^{ 0 } + 5*{ 10 }^{ 1 }\(\) |
4.
| Quantity A | Quantity B |
| \(\)\frac{{ 3 }^{ -1 } }{{ 4 }^{ -1 } }\(\) | \(\)\frac{ 4 }{ 3 }\(\) |
5. Which one of the following is nearest to \(\)0.313233\(\) ?
(A) \(\)3/10\(\)
(B) \(\)31/100\(\)
(C) \(\)313/1000\(\)
(D) \(\)3132/10000\(\)
(E) \(\)31323/10000\(\)
6. \(\)3/8\(\) of a number is what fraction of \(\)2\(\) times the number?
(A) \(\)3/16\(\)
(B) \(\)3/8\(\)
(C) \(\)1/2\(\)
(D) \(\)4/6\(\)
(E) \(\)3/4\(\)
7. If \(\)p + q = 12\(\) and \(\)pq = 35\(\), then \(\)\frac{ 1 }{ p }+\frac{ 1 }{ q }=\(\)
(A) \(\)1/5\(\)
(B) \(\)1/7\(\)
(C) \(\)1/35\(\)
(D) \(\)12/35\(\)
(E) \(\)23/35\(\)
8. Kate ate \(\)1/3\(\) of a cake, Fritz ate \(\)1/5\(\) of the remaining cake, and what was left was eaten by Emily
| Quantity A | Quantity B |
| Fraction of the cake eaten by Emily | \(\)5/7\(\) |
9. The product of two numbers \(\)x\(\) and \(\)y\(\) is twice the sum of the numbers. What is the sum of the reciprocals of \(\)x\(\) and \(\)y\(\) ?
(A) \(\)1/8\(\)
(B) \(\)1/4\(\)
(C) \(\)1/2\(\)
(D) \(\)2\(\)
(E) \(\)4\(\)
10. Which one of the following is closest to \(\)1\(\)?
(A) \(\)\frac{ 3 }{ 3+0.3 }\(\)
(B) \(\)\frac{ 3 }{ 3+{ 0.3 }^{ 2 } }\(\)
(C) \(\)\frac{ 3 }{ 3-0.3 }\(\)
(D) \(\)\frac{ 3 }{ 3-{ 0.3 }^{ 2 } }\(\)
(E) \(\)\frac{ 3 }{ 3-0.33 }\(\)
11. Jane gave three-fifths of the amount of money she had to Jack. Jane now has \(\)200\(\) dollars. How much did she give to Jack?
(A) \(\)80\(\)
(B) \(\)120\(\)
(C) \(\)200\(\)
(D) \(\)300\(\)
(E) \(\)500\(\)
12. At a convention of monsters, \(\)2/5\(\) have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more horns. How many monsters are attending the convention?
(A) \(\)100\(\)
(B) \(\)130\(\)
(C) \(\)180\(\)
(D) \(\)210\(\)
(E) \(\)260\(\)
13. One dose of secret formula is made from \(\)1/6\(\) ounce of Substance \(\)X\(\) and \(\)2/3\(\) ounce of Substance \(\)Z\(\). How many doses are in a \(\)30\(\)-ounce vial of secret formula?
(A) \(\)20\(\)
(B) \(\)24\(\)
(C) \(\)30\(\)
(D) \(\)36\(\)
(E) \(\)45\(\)
14. \(\)5\(\) is how many fifths of \(\)10\(\)?
(A) \(\)2.5\(\)
(B) \(\)5\(\)
(C) \(\)10\(\)
(D) \(\)20\(\)
(E) \(\)50\(\)
15. \(\)1/5\(\) of all the cars on a certain auto lot are red, and \(\)2/3\(\) of all the red cars are convertibles. What fraction of all the cars are NOT red convertibles?
Answer:
1 \(\)\frac{ 20 }{ 80 }\(\)
2 E
3 B
4 C
5 E
6 A
7 D
8 B
9 C
10 B
11 B
12 D
13 D
14 A
15 13/15
