[latexpage]
1. Rectangle [latex]R[latex] has length [latex]30[latex] and width [latex]10[latex], and square [latex]S[latex] has length [latex]5[latex]. The perimeter of [latex]S[latex] is what fraction of the perimeter of [latex]R[latex] ?
2. If [latex]\frac{ d-3n }{ 7n-d }[latex] which of the following statements describes [latex]d[latex] in terms of [latex]n[latex]?
(A) [latex]d[latex] is [latex]4[latex] less than [latex]n[latex]
(B) [latex]d[latex] is [latex]4[latex] more than [latex]n[latex]
(C) [latex]d[latex] is [latex]\frac{ 3 }{ 7 }[latex] of [latex]n[latex]
(D) [latex]d[latex] is [latex]2[latex] times [latex]n[latex]
(E) [latex]d[latex] is [latex]5[latex] times [latex]n[latex]
3.
| Quantity A | Quantity B |
| [latex]2*{ 10 }^{ 1 } + 3*{ 10 }^{ 0 } + 4*{ 10 }^{ -1 } + 5*{ 10 }^{ -2 }[latex] | [latex]1*{ 10 }^{ -3 } + 2*{ 10 }^{ -2 } + 3*{ 10 }^{ -1 } + 4*{ 10 }^{ 0 } + 5*{ 10 }^{ 1 }[latex] |
4.
| Quantity A | Quantity B |
| [latex]\frac{{ 3 }^{ -1 } }{{ 4 }^{ -1 } }[latex] | [latex]\frac{ 4 }{ 3 }[latex] |
5. Which one of the following is nearest to [latex]0.313233[latex] ?
(A) [latex]3/10[latex]
(B) [latex]31/100[latex]
(C) [latex]313/1000[latex]
(D) [latex]3132/10000[latex]
(E) [latex]31323/10000[latex]
6. [latex]3/8[latex] of a number is what fraction of [latex]2[latex] times the number?
(A) [latex]3/16[latex]
(B) [latex]3/8[latex]
(C) [latex]1/2[latex]
(D) [latex]4/6[latex]
(E) [latex]3/4[latex]
7. If [latex]p + q = 12[latex] and [latex]pq = 35[latex], then [latex]\frac{ 1 }{ p }+\frac{ 1 }{ q }=[latex]
(A) [latex]1/5[latex]
(B) [latex]1/7[latex]
(C) [latex]1/35[latex]
(D) [latex]12/35[latex]
(E) [latex]23/35[latex]
8. Kate ate [latex]1/3[latex] of a cake, Fritz ate [latex]1/5[latex] of the remaining cake, and what was left was eaten by Emily
| Quantity A | Quantity B |
| Fraction of the cake eaten by Emily | [latex]5/7[latex] |
9. The product of two numbers [latex]x[latex] and [latex]y[latex] is twice the sum of the numbers. What is the sum of the reciprocals of [latex]x[latex] and [latex]y[latex] ?
(A) [latex]1/8[latex]
(B) [latex]1/4[latex]
(C) [latex]1/2[latex]
(D) [latex]2[latex]
(E) [latex]4[latex]
10. Which one of the following is closest to [latex]1[latex]?
(A) [latex]\frac{ 3 }{ 3+0.3 }[latex]
(B) [latex]\frac{ 3 }{ 3+{ 0.3 }^{ 2 } }[latex]
(C) [latex]\frac{ 3 }{ 3-0.3 }[latex]
(D) [latex]\frac{ 3 }{ 3-{ 0.3 }^{ 2 } }[latex]
(E) [latex]\frac{ 3 }{ 3-0.33 }[latex]
11. Jane gave three-fifths of the amount of money she had to Jack. Jane now has [latex]200[latex] dollars. How much did she give to Jack?
(A) [latex]80[latex]
(B) [latex]120[latex]
(C) [latex]200[latex]
(D) [latex]300[latex]
(E) [latex]500[latex]
12. At a convention of monsters, [latex]2/5[latex] 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) [latex]100[latex]
(B) [latex]130[latex]
(C) [latex]180[latex]
(D) [latex]210[latex]
(E) [latex]260[latex]
13. One dose of secret formula is made from [latex]1/6[latex] ounce of Substance [latex]X[latex] and [latex]2/3[latex] ounce of Substance [latex]Z[latex]. How many doses are in a [latex]30[latex]-ounce vial of secret formula?
(A) [latex]20[latex]
(B) [latex]24[latex]
(C) [latex]30[latex]
(D) [latex]36[latex]
(E) [latex]45[latex]
14. [latex]5[latex] is how many fifths of [latex]10[latex]?
(A) [latex]2.5[latex]
(B) [latex]5[latex]
(C) [latex]10[latex]
(D) [latex]20[latex]
(E) [latex]50[latex]
15. [latex]1/5[latex] of all the cars on a certain auto lot are red, and [latex]2/3[latex] of all the red cars are convertibles. What fraction of all the cars are NOT red convertibles?
Answer:
1 [latex]\frac{ 20 }{ 80 }[latex]
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
