The Seventh Annual
Holy Cross High School
Middle School
Mathematics Competition
(Individual Competition)
Do not open until told to do so!
Directions: Answer all questions on the
SCANTRON Sheet provided. Use the pencil
provided. No calculators are permitted.
1.What is the sum of the smallest prime number greater than 92 and the smallest prime number
greater than 42?
A. 134
B. 136
C.140
D. 144
E. 150
2. Shanita’s allowance went up by 50% to $12 a week. What was her original weekly allowance?
A. $6
B) $8
C. $9
D. $18
E. $24
3. The area of a square room is 324 square feet. What is its perimeter?
A. 72 feet
B) 81 feet
C. 144 feet
D. 162 feet
E. 1286 feet
x2  4
when x = -8 and y = 7.
y3
34
11
6
A. 
B. 
C.
5
5
5
4. Evaluate
D. 4
5. If f ( x)  3( x  8) and g ( x)  4( x  4) , solve g ( x)  f ( x) .
A. -40
B. -8
C0
D. 8
6. Find the absolute value of the difference between
A. 4
B.
120
221
C. 1
E. 6
E. 40
13
and its reciprocal.
17
26
27
D.
E.
17
50
7. The area of the trapezoid shown below 527 cm2. What is the length of the top side?
.
?
17 cm
34 cm
A. 12.8 cm
B. 25 cm
C. 28 cm
D. 51 cm
E. 57 cm
8. In a certain month, three Sundays have dates that are even numbers. What day of the week is
the 12thof the month?
A. Sunday B. Monday C. Tuesday D. Wednesday
E. Thursday
9. In the figure to the right, find my .
A. 53o
B. 127o
C. 45o
D. 37o
E. 90o
Note: Lines A and B are parallel
127o
A
B.
10. ABCD is a rectangle. Find the area of DMS .
A. 15
B. 8
C. 16
D. 25
E. 20
y
A
6
M
4
B
5
2
S
D
C
11. An airport has a runway that was originally x meters wide and y meters long. Now, they
lengthened the runway by 50 meters. How can you express the total area of the renovated
runway in terms of x and y?
A. y(y + 50)
B. 50y + xy
C. x2 + 502
D. x(xy+50)
E. x(y + 50)
12. Listed below are the scores for Amanda’s math class:
1st Six weeks 96
2nd Six weeks 97
3rd Six weeks 92
Exam
?
Final Grade 95
If each six weeks’ grade is worth 30% toward the final grade and the exam grade is 10% of
her final grade, what would be her exam grade?
A. 92
B. 95
C. 86
D. 90
E. 98
13.
1 2  3  ...  18

1 2  3  ...  15
A. 4896
B. 7340
C. 306
D. 288
E. 1.2
14. In the drawing below, the arc shown is a semicircle and the two straight sides are congruent,
forming a 60o angle . The perimeter of the entire figure is (4 + 16) cm. What is the radius of
the semicircle?
A. 4 cm
B. 8 cm
C. 4 cm
D. 8 cm
E.
60o
8
cm

15. N  3 105  8 103  6 102  9 10o. What is N?
A. 38,609
B. 386,900
C. 308,609
D. 380,609
E. 300,809
16. What number divided by 8 has a quotient of 11 and a remainder of 2?
A. 30
B. 90
C. 176
D. 27
E. 100
17. Joe’s new brand name sweater costs $44. The sweater is on sale $10.99. What percent
discount is the store giving Joe? Round the answer to the nearest whole percent.
A. 2%
B. 50%
C. 75%
D. 40%
E. 33%
18. A truck rental firm charges $27 per day plus 54 cents per mile to rent a truck. How much will
Su Jin Kim pay to drive the truck 287 miles today?
A. $250.48
B. $301.58
C. $181.98
D. $314.54
E. $131.49
19. If f ( x)  x 2  5 x  11, what is f (3)?
A. -17
B. -35
C. -25
D. -5
E. -53
20. If m represents whole number, which of the following expressions will always be even?
A. m + 3
B. 4m
C. 2m – 1
D. 2m + 1
E. (2m – 1)2
21. If a  b  3(a  b)  b2 , then what does 7  5 equal?
A. 12
B. 47
C. 85
D. 61
E. 75
22. A triangle has three sides of length x, 9 and 12. Which inequality represents the possible
length of x values?
A. 3 < x < 21
B. 5 < x < 25
C. 8 < x < 56
D. 2 < x < 7
E. 4 < x < 23
23. A circle centered at Q with a radius of 7 overlaps a square, as shown in the figure.
What is the area of the shaded region?
A. 49 – 7
B. 49(1 – 7)

7
C. 7(1  )
4

D. 49(1  )
4
Q
E. 14  49
24. If 3x + 2y = 7, which of the following could be true?
A. x = 2, y = 3
B. x = 1, y = 2
C. x = 4, y = 3
D. x = 2, y = 1
E. x = 9, y = -8
25. The distance from the center of the regular hexagon to one of its vertices is 15 cm.
What is the perimeter of the hexagon?
A. 225 cm
B. 75 cm
C. 90 cm
D. 60 cm
E. 30 cm
15 cm