Placement Exam For Level B - Summer High School Program, 2015 Page 2
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42015 Summer High School Program
Placement Exam for Level B
NAME: ______________________
Short Answer: Write your answer and show your work in the space below each question.
Clearly indicate your final answer by drawing a box around it.
2
2
��
−5��+6
2��
��
+6��+8
∙
∙
10. Simplify the expression:
3
2
2
��
+4��
��−3
��
−4
2
2
3
3
11. If �� + �� = 4 and ��
+ ��
= 10, compute the value of ��
+ ��
.
11
12. If �� represents a single digit in the equation 7
= 1��77326743, compute ��.
2
2
13. List all ordered pairs of positive integers ( ��, �� ) that are solutions of ��
− ��
= 51
2 of 4
Page
New York Math Circle
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