Placement Exam For Level A - Summer High School Program, 2015
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42015 Summer High School Program
Placement Exam for Level A
NAME: ______________________
Multiple Choice: Indicate your answer in the box to the right of each question.
3
1
8
2
1. Evaluate
+
(
−
)
8
4
3
3
9
7
5
(a) 2
(b)
(c)
(d) 1
(e)
8
8
8
1.
2. Evaluate 1 + 2(3 − 4 ( 5 + �� ) ) when �� = −6
(a) 15
(b) 3
(c) -1
(d) 81
(e) -81
2.
3. In the set of data {2, 3, 3, 5, 7, 10} which item would you remove to decrease the mean by 1?
(a) 2
(b) 3
(c) 5
(d) 7
(e) 10
3.
4. Which day of the week comes 60 days after Tuesday?
(a) Wednesday (b) Thursday
(c) Friday
(d) Saturday
(e) Sunday
4.
5. Troy writes down the number 1. Each minute, Troy writes down a number 1 more than twice the
previously written number. Of all the numbers Troy writes, which is closest to 1000?
(a) 977
(b) 997
(c) 1017
(d) 1023
(e) None of these
5.
6. If 3�� + 7�� = 10 and 7�� + 3�� = 20, what is the value of 4��?
42
21
(a) 21
(b)
(c) 11
(d)
(e) None of these
5
10
6.
7. The sum of four consecutive odd integers is 136. What is the smallest of the four numbers?
(a) 25
(b) 27
(c) 29
(d) 31
(e) None of these
7.
2
2
8. If ( �� + �� )
= 49 and ( �� + �� )
= 9, which is a possible value of �� − ��?
(b) 2 √ 10
(a) 6
(c) -10
(d) -40
(e) None of these
8.
9. Simplify √ 8 + √ 18 + √ 98
(a) 12 √ 2
(b) 2 √ 31
(c) 17
(d) √ 124
(e) None of these
9.
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New York Math Circle
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