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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 SubstitutionWeek 2: MeasurementsWeek 3: Sum, Difference & MultipleWeek 4: Fraction & DecimalsWeek 5: Quiz 1Week 6: Solve EquationWeek 7: Geometry (1)Week 8: Counting ProblemsWeek 9: Number CalculationWeek 10: Quiz 2Week 11: Percentage ProblemsWeek 12: Distance, Speed & TimeWeek 13: Work ProblemsWeek 14: Divisibility and RemainderWeek 15: Quiz 3Week 16: Least and MostWeek 17: Word Problems (1)Week 18: Number Thinking (1)Week 19: Combination & Probability (1)Week 20: Quiz 4Week 21: AlgebraWeek 22: Time ProblemsWeek 23: Average ProblemsWeek 24: Multiple & FactorWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio ProblemsWeek 28: Number Thinking (2)Week 29: Data AnalysisWeek 30: Age ProblemsWeek 31: Quiz 6Week 32: Number SequencesWeek 33: Pattern ProblemWeek 34: "Unsolvable" EquationsWeek 35: Money ProblemsWeek 36: Quiz 7Week 37: Geometry(2)Week 38: Logical ReasoningWeek 39: Word Problem (2)Week 40: Number Thinking (3)Week 41: Quiz 8Week 42: Combination & Probability (2)Week 43: Distance, Speed & Time (2)Week 44: Challenge Geometry Questions Week 45: Sum, Difference & Multiple (2)Week 46: Quiz 9Week 47: Probability ProblemsWeek 48: Distance, Speed & Time (3)Week 49: Price & CostWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
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Algebra( Week 21 Evaluation)
1.  If 20x is deducted by 16y, and the difference is then multiplied by
1
4
 , which of the following is the result?
A) 4y − 5x
B)
16y − 20x
4
 
C) 5y − 4x
D) 5x − 4y
E) 4x − 5y
2.  Which of the following is the correct representation of phrase "7 less than 8 times x"?
A) 8x + 7
B) 8x − 7
C) 7 < 8x
D) 7x − 8
E) 7 − 8x
3.  Michael is now 20 years old, and is 8 years older than Niconia. In how many years will Michael be twice as old as Niconia is now?
A) 6
B) 4
C) 3
D) 7
E) 8
4.  4 years ago, Morgan was 5 years older than Rene is now. If Rene's present age is X, what will be Morgan's age 6 years from now?
A) 14 + X
B) 15 + X
C) 10 + X
D) X − 15
E) X − 10
5.  Edward is 4 years younger than John. George is one fourth as old as John is now. If George will be 14 years old 8 years from now, how old is Edward now?
A) 22
B) 21
C) 17
D) 20
E) 16
6.  7 years from now, Ben will be 4 times as old as Martha is now. If Martha's present age is Y, what was Ben's age 5 years ago?
A) 4(Y − 7 − 5)
B) 4Y − 7 + 5
C) 4Y − 7 − 5
D) 4(Y − 7) − 5
E) 4Y + 7 − 5
7.  Nick is 3 times as old as Hillary is now. 10 years from now, he will be twice as old as Hillary then. How old is Hillary now?
A) 12
B) 13
C) 14
D) 10
E) 11
8.  In a certain class, the number of students who have five letter or less in their last names is 5 times of the students who have more than five letters in their last names. If there are a total of 60 students, how many students are there in the class who have five letters or less in their last names?
A) 50
B) 48
C) 46
D) 47
E) 49
9.  There is a larger circle C with an area of 144π. You are asked to draw two circles A and B without overlapping within circle C. What is the largest possible sum of circumferences of A and B?
Best GT Prep
A) 32π
B) 22π
C) 24π
D) 25
E) 24π
10.  6 years from now, Eric will be twice as old as Mary is now. If Eric's present age is Y, what will be Mary's age 4 years from now?
A)
Y − 6
2
  + 4
B)
Y + 6
2
  + 4
C)
Y − 6 + 4
2
 
D) Y + 4
E)
Y
2
  + 4



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