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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Math Olympiad 5
Week 1: Number Substitution
PracticeEvaluation
Week 2: Measurements
PracticeEvaluation
Week 3: Sum, Difference & Multiple
PracticeEvaluation
Week 4: Fraction & Decimals
PracticeEvaluation
Week 5: Quiz 1Week 6: Solve Equation
PracticeEvaluation
Week 7: Geometry (1)
PracticeEvaluation
Week 8: Counting Problems
PracticeEvaluation
Week 9: Number Calculation
PracticeEvaluation
Week 10: Quiz 2Week 11: Percentage Problems
PracticeEvaluation
Week 12: Distance, Speed & Time
PracticeEvaluation
Week 13: Work Problems
PracticeEvaluation
Week 14: Divisibility and Remainder
PracticeEvaluation
Week 15: Quiz 3Week 16: Least and Most
PracticeEvaluation
Week 17: Word Problems (1)
PracticeEvaluation
Week 18: Number Thinking (1)
PracticeEvaluation
Week 19: Combination & Probability (1)
PracticeEvaluation
Week 20: Quiz 4Week 21: Algebra
PracticeEvaluation
Week 22: Time Problems
PracticeEvaluation
Week 23: Average Problems
PracticeEvaluation
Week 24: Multiple & Factor
PracticeEvaluation
Week 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio Problems
PracticeEvaluation
Week 28: Number Thinking (2)
PracticeEvaluation
Week 29: Data Analysis
PracticeEvaluation
Week 30: Age Problems
PracticeEvaluation
Week 31: Quiz 6Week 32: Number Sequences
PracticeEvaluation
Week 33: Pattern Problem
PracticeEvaluation
Week 34: "Unsolvable" Equations
PracticeEvaluation
Week 35: Money Problems
PracticeEvaluation
Week 36: Quiz 7Week 37: Geometry(2)
PracticeEvaluation
Week 38: Logical Reasoning
PracticeEvaluation
Week 39: Word Problem (2)
PracticeEvaluation
Week 40: Number Thinking (3)
PracticeEvaluation
Week 41: Quiz 8Week 42: Combination & Probability (2)
PracticeEvaluation
Week 43: Distance, Speed & Time (2)
PracticeEvaluation
Week 44: Challenge Geometry Questions
PracticeEvaluation
Week 45: Sum, Difference & Multiple (2)
PracticeEvaluation
Week 46: Quiz 9Week 47: Probability Problems
PracticeEvaluation
Week 48: Distance, Speed & Time (3)
PracticeEvaluation
Week 49: Price & Cost
PracticeEvaluation
Week 50: Challenge Problems
PracticeEvaluation
Week 51: Quiz 10Week 52: Final Exam
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Ratio Problems( Week 27 Evaluation)
1.  Nancy has a certain number of marbles. She gives one-half of them to Susan and then 16 to Mary. She then gives one-third of her remaining marbles plus 16 to Julia and is left with no marbles. How many marbles did Nancy have at the beginning?
2.  A gift bag costs $20 in store A and the same gift bag is on sale in store B for $16. How many gift bags can be bought in store B with the amount of money needed to buy 8 same gift bags in store A?
A) 10
B) 4
C) 19
D) 13
E) 9
3.  What part of a day elapsed from 8:20 A.M. to 2:20 P.M. of the same day?
A)
1
4
 
B)
7
24
 
C)
1
2
 
D)
5
16
 
E)
5
16
 
4.  One cubic foot of a certain material weighs 19 pounds and costs $86.40 per pound. A cubic foot equals to 1728 cubic inches. At the same rate, what is the cost of 784 cubic inches of the same material?
A) $763.80
B) $744.80
C) $735.30
D) $706.80
E) $716.30
5.  If
3
13
  of a number is 21, what is
10
13
  of the number?
A) 98
B) 28
C) 56
D) 126
E) 70
6.  Nick had a total of d dollars. He lent
5
9
  of his money to a friend and then spent
3
6
  of the money that he had left for books. In the end, how many dollars did Nick still have at hand in terms of d?
A)
5
18
 d
B)
2
9
 d
C)
8
27
 d
D)
7
27
 d
E)
13
54
 d
7.  If
5
8
  of
4
7
  of a number is 21, what is
1
5
  of the same number?
A)
1623
50
 
B)
1411
100
 
C)
1881
100
 
D)
214
25
 
E)
1119
25
 
8.  After a number is increased by
2
5
  of its value, the result is 28. What is the number?
A) 8
B) 28
C) 20
D) 4
E) 24
9.  In a certain solution of water and alcohol, the ratio by volume of the amount of water to the amount of alcohol is 7 to 6. If the volume of the alcohol is 126 cubic inches, what is the volume of the water (in cubic inches)?
A) 205
B) 263
C) 147
D) 118
E) 234
10.  The aluminum and silver in a special alloy have a ratio of 10:11. If the alloy contains 2.52% of aluminum and silver, what is the percentage of silver in the alloy? %



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