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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Week 1: 7-Segment Display ProblemsWeek 2: Matchstick ProblemsWeek 3: Division & Divisibility (1)Week 4: Caculation ShortcutsWeek 5: Quiz 1Week 6: Word Problem (1)Week 7: Multiples & FactorsWeek 8: Fractions & DecimalsWeek 9: Distance Problems (1)Week 10: Quiz 2Week 11: Roman NumeralsWeek 12: MeasurementWeek 13: Sum, Difference & Multiple (1)Week 14: Least & MostWeek 15: Quiz 3Week 16: Number Sense Week 17: Shape CountingWeek 18: Counting ProblemWeek 19: Fraction & Decimals (2)Week 20: Quiz 4Week 21: Average ProblemsWeek 22: Purchase & Sale Problems Week 23: Number Thinking(1)Week 24: Proportion & Ratio ProblemsWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Number PatternWeek 28: Calendar ProblemWeek 29: Number SequencesWeek 30: Pattern ProblemsWeek 31: Quiz 6Week 32: Age ProblemsWeek 33: Money ProblemWeek 34: Division & Divisibility (2)Week 35: GeometryWeek 36: Quiz 7Week 37: Sum, Difference & Multiple (2)Week 38: Calculation Shortcuts (2)Week 39: Combination ProblemsWeek 40: Percentage ProblemWeek 41: Quiz 8Week 42: Number SubstitutionWeek 43: Work ProblemWeek 44: Word Problems (2)Week 45: Number Thinking2Week 46: Quiz 9Week 47: Proportion & Ratio Problems(2)Week 48: Distance Problems (2)Week 49: Probability & CombinationsWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
Math Olympiad 5
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Math Olympiad 4( Week 51 Quiz 10)
1.  There are 5 colors for all my crayons. All my crayons are gray except 14. All my crayons are either red or blue except 12. All my crayons are either yellow or green except 10. How many crayons do I have?
2.  Emily and Joe are 28 miles apart and Joe is in front of Emily. Both are trying to get the same destination which is still many hours away. Emily bicycled at 17 mph, and Joe walked at 3 mph. In how many hours will Emily catch up with Joe?
3.  There are 4 colors for all my balls. All my balls are yellow except 12. All my balls are green except 12. All my balls are red except 12. All my balls are blue except 12. How many balls do I have?
4.  
One of the 5 shapes above will be chosen at random. What is the probability that the shape chosen will have a side number of 3?
A)
1
4
 
B)
2
5
 
C)
3
5
 
D)
1
4
 
E)
1
5
 
5.  The ratio of red balls to blue balls in a bag is 10 : 11. A ball is randomly picked from the bag. What is the probability that the ball picked is a red one?
A)
1
3
 
B)
2
7
 
C)
4
7
 
D)
11
21
 
E)
10
21
 
6.  There are a total of 636 students attended this year's state scholastic chess championships.
1
2
  of them are high school students.
1
3
  of them are elementary school students. The remaining are from middle school. How many students are from middle school?
A) 22
B) 106
C) 169
D) 148
E) 85
7.  The weight of a box is the same as 5 pounds plus the weight of
1
6
  of the box. How many pounds does the box weigh?
8.  In the figure below, A and B are the opposite vertex across the diagonal line. A path from point A to point B is determined by moving upward or to the right along the grid lines. How many different paths can be drawn from A to B without passing either black point marked in the diagram?
A) 4
B) 5
C) 0
D) 6
E) 1
9.  Frogs are usually well suited to jumping, with long hind legs and elongated ankle bones. A frog is 2.5 inches tall and can jump 10 inches high. If a person who is 5.5 feet tall had the ability to jump like a frog, how high could he jump in feet?
10.  Michael and Sofia start together and race their bikes around a circular trial at constant speeds. It will take Michael 8 minutes to go 1 lap, and it will take Sofia 6 minutes for a lap. How long will it take Sofia to be exactly 1 lap ahead of Michael (in minutes)?
11.  The ratio of boys to girls in a school is 9:8. If there are 238 children in the school, how many are girls?
12.  22 is to 88 as 19 is to ?
13.   Kevin has 2 quarters and 2 dimes. Using one or more of the coins, how many different amounts of money can Kevin make?
14.  It is a picture day. There are 4 girls and 3 boys in a class. Every two girls will take a photo and every two boys will also take a photo. How many photos will be taken for the entire class?
15.  In a chess tournament, there are 32 players. Every 4 people form a group. In each group, all players will play a game with each other. How many games will be played in total?



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