Applied Math Competition Questions

Applied Math Competition Questions

Level 1: Grade 4, 5

Question 1

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Expected Outcome:

Same expected outcome as the normal link. See below

Question 1

Expected Output

image

Question 2

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Question 2
#-----------------------------------------------------------------------#
# Q: Draw 4 circles that touch each other and fill up the entire canvas #
#-----------------------------------------------------------------------#

circle(200, 200, 1)

Expected Output

image

Question 3

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Expected Outcome:

Same expected outcome as the normal link. See below

Question 3
#-------------------------------#
# Q: Make the answer equal to 3 #
#-------------------------------#

answer = 56 - 7 - 1 - 4

Change the - sign to +, -, / or * and, if needed, insert brackets to make the result of the equation equal to 3

Expected Output

image

Level 2: Grade 6

Question 4

🚨 Backup Link: In case you encounter issues, click on the arrow on the left (▶️) to expand this section and find the backup links

Expected Outcome:

Same expected outcome as the normal link. See below

Question 4
#---------------------------------------------------------------#
# Q: Edit the code so that the average works in both dimensions #
#---------------------------------------------------------------#

Expected Output

image

Question 5

🚨 Backup Link: In case you encounter issues, click on the arrow on the left (▶️) to expand this section and find the backup links
Question 5
#-------------------------------------------------------------#
# Q: Find and Display the Perimeter & Area of the shape drawn #
#-------------------------------------------------------------#

Expected Output

image

Level 3: Grade 7, 8

Question 6

🚨 Backup Link: In case you encounter issues, click on the arrow on the left (▶️) to expand this section and find the backup links
Question 6
#--------------------------------------------#
# Q: Reflect the circle along the black line #
#--------------------------------------------#

Expected Output

image

Question 7

🚨 Backup Link: In case you encounter issues, click on the arrow on the left (▶️) to expand this section and find the backup links
Question 7
#--------------------------------------#
# Q: Find the Area of the white region #
#--------------------------------------#

Both Triangles are EQUILATERAL. 
Area should be correctly calculated even as the triangles overlap

Expected Output

image

Level 4: Grade 9, 10

Question 8

🚨 Backup Link: In case you encounter issues, click on the arrow on the left (▶️) to expand this section and find the backup links
Question 8
#-----------------------------------------------------------------------#
# Q: Find the equation of y	in terms of x, passing through all 3 points #
#-----------------------------------------------------------------------#

a = 0
b = 0
c = 0

y = a*x*x + b*x + c

Find the values of a, b, c for which (x1, y1), (x2, y2) and (x3, y3) all lie on the quadratic equation ax² + bx + c e

Expected Output

image