Download Meet 2 - Minnesota Junior High Math League

Meet 2 – Event A
2015-2016
Questions are worth 2-2-2-4-4 points respectively.
NO CALCULATORS ALLOWED
__________1.
Evaluate.
−|11 + |−10 − 14||
n=
__________2.
Two-thirds of n is sixteen. What is n?
6 cm
cm
__________3.
The figure is made up of four equilateral triangles.
What is the perimeter of the entire figure?
__________4.
On the number line diagram, AC is 20% longer than AB. Point C is the midpoint
of BD.
What is the midpoint of AD?
__________5A.
__________5B.
At an apple orchard,



3
5
of the trees produce green apples,
3
10
1
10
of the trees produce red apples, and
of the trees produce yellow apples.
There are 6 trees at the orchard that produce red apples.
A) How many trees produce green apples?
B) How many trees produce yellow apples?
Name_________________________________School___________________________________
©2015 by the Minnesota Junior High School Mathematics League
Meet 2 – Event A
2015-2016
ANSWERS
Questions are worth 2-2-2-4-4 points respectively.
-35
__________1.
|
|
||
|
|
||
|
|
|
|
( )
n = 24
__________2.
24 cm
__________3.
If each side of the larger triangle is 6, then each side of the smaller triangles must
be 2, as the bases of 3 small triangles equal the base of the large triangle.
6 + 6 + 2 + 2 + 2 + 2 + 2 + 2 = 24
16
__________4.
AB = 22 – 2 = 20
20(1.2) = 24 = AC; C = 2 + 24 = 26
D = 26 + 4 = 30
30 – 2 = 28; 28/2 = 14; 2 + 14 = 16
12
__________5A.
x = total number of trees at orchard
2
__________5B.
*2 points each
green: (
)
yellow: 20 – (12 + 6) = 2
©2015 by the Minnesota Junior High School Mathematics League
Meet 2 – Event B
2015-2016
Questions are worth 2-2-2-4-4 points respectively.
NO CALCULATORS ALLOWED
_______________1.
__________2.
Write the number in scientific notation.
51,850,000
Evaluate.
−3−3 (34 )
x=
__________3.
Solve for x.
1
𝑥 − 4(𝑥 + 9) = 19 − 2 𝑥
__________4.
For each of the last 4 years, Mr. Jarvis has recorded the
percentage of his students who wore costumes to school for
Halloween. The table shows his data.
This year, Mr. Jarvis has a total of 115 students in all his
classes. Based solely on his data, how many of his students
should Mr. Jarvis expect to wear costumes this year?
2
cm
__________5.
Year
Students
Wearing
Costumes
(%)
2011
44
2012
52
2013
47
2014
41
In the diagram,
 H is similar to T,
 the scale factor for the enlargement of H to T is 1.5, and
 the area of H is 20 cm2.
What is the area of the rectangle surrounding H and T?
Name_________________________________School___________________________________
©2015 by the Minnesota Junior High School Mathematics League
Meet 2 – Event B
2015-2016
ANSWERS
Questions are worth 2-2-2-4-4 points respectively.
5.185 × 107
_______________1.
34
1
-3
__________2.
−3−3 (34 ) = − 33 ( 1 ) = −𝟑
x = -22
__________3.
𝑥 − 4(𝑥 + 9) = 19 − 𝑥; 𝑥 − 4𝑥 − 36 = 19 − 𝑥; −3𝑥 − 36 = 19 − 𝑥
1
2
1
2
1
2
−3𝑥 − 36 = 19 − 𝑥; −2 𝑥 = 55; 𝑥 =
53
__________4.
44+52+47+41
4
=
184
4
= 46
115(0.46) = 52.9 ≈ 𝟓𝟑
250 cm2
__________5.
10(25) = 250
©2015 by the Minnesota Junior High School Mathematics League
1
2
55
2
(− ) ;
1
5
1
2
𝒙 = −𝟐𝟐
Meet 2 – Team Event 2015-2016
Questions are worth 4 points each.
__________1.
x=
NO CALCULATORS ALLOWED
Solve for both values of x.
|
__________
x=
_______________2A.
_______________2B.
|
4
Two years ago, a museum had a total of 2.5712 × 10 visitors. Last year the total number
of museum visitors decreased by 10%. How many visitors did the museum have last
year, rounded to the nearest whole number?
A) Write your answer in standard form.
B) Write your answer in scientific notation.
__________3.
n=
Solve for n.
__________4.
Line segment AE is shown on the coordinate plane.
What is the midpoint of segment AE?
__________5.
x=
Solve.
$
__________6.
Geeky Gary’s Game Shop opened a second location since Meet 1. At Geeky Gary’s new
location, the prices are always listed in scientific notation, rather than in dollars and cents. Raul
1
-1
purchased 1 board game for $[3.128 × 10 ] and 2 extra dice for $[8.5 × 10 ] each. He paid with
two $20 bills. How much change did Raul receive, in dollars and cents?
__________7.
Evaluate.
(( ) )
__________8.
A box plot is shown.
6
8
14
16
17
Which statement about the data represented in the box plot must be true?
A. The mean value is 14.
C. The data set has 5 values.
B. The value 6 is an outlier.
D. The interquartile range is 8.
x=
__________9.
Solve.
√
____________________10.
A carpet company charges $6.42 per square foot of carpet, including carpet
padding and installation. An upgrade to thicker carpet padding costs a flat fee of
$140. Write an equation that shows the total cost, y, to have x square feet of area
carpeted with the thicker carpet padding.
Name_________________________________School___________________________________
©2015 by the Minnesota Junior High School Mathematics League
Meet 2 – Team Event 2015-2016
Questions are worth 4 points each.
ANSWERS
x = 31
__________1.
x = -11
__________
*2 points each
25,712 – 2,571.2 = 23,140.8 ≈ 23,141 = 2.3141 × 104
_______________2A.
23,141
_______________2B.
2.3141 × 104
*2 points each
3𝑣−4
𝑛= 𝑦
__________3.
or) 𝑛 =
3𝑣
𝑦
−
4
x = 1.25
__________5.
5
4
or) 𝑥 = 𝟏
𝟑𝒗−𝟒
𝒚
=𝒏
𝑦
(4.5, 4)
__________4.
or) 𝑥 =
3𝑣 − 3 = 1 + 𝑦𝑛; 3𝑣 − 4 = 𝑦𝑛;
A(2, 5); E(7, 3)
7 – 2 = 5; 5/2 = 2.5; 2 + 2.5 = 4.5; 5 – 3 = 2; 2/2 = 1; 5 – 1 = 4
𝑥
6
5
= 24 ; 24𝑥 = 30; 𝒙 = 𝟏. 𝟐𝟓
1
4
$7.02
__________6.
1
64
__________7.
31.28 + 2(0.85) = 31.28 + 1.7 = 32.98
40 – 32.98 = 7.02
3
1 2
1 3
𝟏
((2) ) = (4) = 𝟔𝟒
D
__________8.
x = 1,024
__________9.
5
4 = √𝑥 ; 45 = 𝑥; 𝟏, 𝟎𝟐𝟒 = 𝒙
y = 6.42x + 140
____________________10.
or) any equivalent form
©2015 by the Minnesota Junior High School Mathematics League