Download Math Wits FINALS - San Diego Math Field Day

San Diego Junior High Math Field Day 2010
Math Wits FINAL ROUND
** indicates a question with a PowerPoint visual.
1.
** L a s
V e g a s ,
N e v a d a
was
f o u n d e d on May 15, 1 9 0 5, at which time it
consisted of
110
a c r e s or 0 . 4
k m2.
How many square meters were in the original size of Las
Vegas?
2.
**Convert 10011110base 2 to base 10.
3.
A regular polygon has an interior angle measure of 162
degrees. How many sides are in the polygon?
4.
If a 7-inch tall right cylinder has a volume of 56π, how many
inches long is the diameter of its base? Express your answer
in simplest radical form.
5.
A family has three children that are not all boys. What is the
probability that all three children are girls?
6.
**Triangle ABC is rotated 90
counterclockwise about point A,
what are the coordinates of C’?
San Diego Junior High Math Field Day 2010
Math Wits FINAL ROUND
7.
**What is the greater of the solutions to the equation
x2 – 15x – 54 = 0?
8.
The measures of two interior angles of a given parallelogram
are 10x degrees and 5x degrees. What is the value of x?
9.
What percent of the one-digit positive integers is prime?
Round your answer to the nearest whole percent.
10. **What is the value of y,
to the nearest tenth?
55
y
13
11. **If a # b = b2 + a and a @ b = b – a, what is the value of
((7 # 3) @ 1)?
12. A rectangle has a length of 2x + 3 units, a width of x – 5
units, and an area of 34 square units. What is the value of x?
San Diego Junior High Math Field Day 2010
Math Wits FINAL ROUND
13. A book costs $1 plus half of its price. How much does the
book cost?
14. **What is the area of the regular
hexagon shown here? Express your
answer in simplest radical form.
15. What is the value of 1+
1 
4  
2 
1 2
6  
2 
1 3
4  ?
2 
16. **A point (a, b)is located in the second quadrant of the
Cartesian plane. The coordinates are changed according to
the functions given: f(a) = 2 – a and g(b) = b2 + 1. In which
quadrant is (f(a), g(b)) located?
17. What is the value of y in the arithmetic sequence
y + 6, 12, y?
18. **A large square region is divided into
four congruent, non-overlapping
square regions. If the perimeter of one
of these small square regions is 48 cm,
what is the area, in square centimeters,
San Diego Junior High Math Field Day 2010
Math Wits FINAL ROUND
of the large square?
19. Line m contains the points (4, –3) and (8, 5). What is the
y-coordinate at the point where line m intersects the
y-axis?
20. **What is the ones digit of 32010?
San Diego Junior High Math Field Day 2010
Math Wits FINAL ROUND
KEY
Student:
1.
400,000 (m2)
2.
158
3.
20
4.
4 2
5.
1/7
 6.
1
2
3
4
5
Final scores
Student 1:
Student 2:
(4, 2)
7.
18
8.
12
9.
44 (%)
10.
22.7
Student 3:
11. –15
12. 7
13. $2
14.
Student 4:
384 3
15. 5
 16.
1, I, first
17. 9
18. 576 (cm2)
19. –11
20. 9
Student 5: