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CogAT Prep I
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Reasoning Knowledge
Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Week 1: 7-Segment Display Problems
Practice
Evaluation
Week 2: Matchstick Problems
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Evaluation
Week 3: Division & Divisibility (1)
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Evaluation
Week 4: Caculation Shortcuts
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Evaluation
Week 5: Quiz 1
Week 6: Word Problem (1)
Practice
Evaluation
Week 7: Multiples & Factors
Practice
Evaluation
Week 8: Fractions & Decimals
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Evaluation
Week 9: Distance Problems (1)
Practice
Evaluation
Week 10: Quiz 2
Week 11: Roman Numerals
Practice
Evaluation
Week 12: Measurement
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Evaluation
Week 13: Sum, Difference & Multiple (1)
Practice
Evaluation
Week 14: Least & Most
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Evaluation
Week 15: Quiz 3
Week 16: Number Sense
Practice
Evaluation
Week 17: Shape Counting
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Evaluation
Week 18: Counting Problem
Practice
Evaluation
Week 19: Fraction & Decimals (2)
Practice
Evaluation
Week 20: Quiz 4
Week 21: Average Problems
Practice
Evaluation
Week 22: Purchase & Sale Problems
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Evaluation
Week 23: Number Thinking(1)
Practice
Evaluation
Week 24: Proportion & Ratio Problems
Practice
Evaluation
Week 25: Quiz 5
Week 26: Mid-Term Exam
Week 27: Number Pattern
Practice
Evaluation
Week 28: Calendar Problem
Practice
Evaluation
Week 29: Number Sequences
Practice
Evaluation
Week 30: Pattern Problems
Practice
Evaluation
Week 31: Quiz 6
Week 32: Age Problems
Practice
Evaluation
Week 33: Money Problem
Practice
Evaluation
Week 34: Division & Divisibility (2)
Practice
Evaluation
Week 35: Geometry
Practice
Evaluation
Week 36: Quiz 7
Week 37: Sum, Difference & Multiple (2)
Practice
Evaluation
Week 38: Calculation Shortcuts (2)
Practice
Evaluation
Week 39: Combination Problems
Practice
Evaluation
Week 40: Percentage Problem
Practice
Evaluation
Week 41: Quiz 8
Week 42: Number Substitution
Practice
Evaluation
Week 43: Work Problem
Practice
Evaluation
Week 44: Word Problems (2)
Practice
Evaluation
Week 45: Number Thinking2
Practice
Evaluation
Week 46: Quiz 9
Week 47: Proportion & Ratio Problems(2)
Practice
Evaluation
Week 48: Distance Problems (2)
Practice
Evaluation
Week 49: Probability & Combinations
Practice
Evaluation
Week 50: Challenge Problems
Practice
Evaluation
Week 51: Quiz 10
Week 52: Final Exam
Math Olympiad 5
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Number Pattern( Week 27 Evaluation)
1.
1 × 8 + 1
=
9
12 × 8 + 2
=
98
123 × 8 + 3
=
987
1234 × 8 + 4
=
9876
Fill the following blank by observing the above pattern:
× 8 + 6
=
987654
2.
1 × 9 + 2
=
11
12 × 9 + 3
=
111
123 × 9 + 4
=
1111
1234 × 9 + 5
=
11111
Fill the following blank by observing the above pattern:
× 9 + 9
=
111111111
3.
9 × 9 + 7
=
88
98 × 9 + 6
=
888
987 × 9 + 5
=
8888
9876 × 9 + 4
=
88888
Fill the following blank by observing the above pattern:
× 9 + 3
=
888888
4.
Figure out how the first two sets of numbers are related and then select the number from the choices to fill the question mark so that the third set of numbers have the same relationship as the first two sets.
A) 75
B) 80
C) 76
D) 77
E) 79
5.
Is the result of (275 − 127) × 180 an even number?
Yes
No
6.
Find the pattern and fill the blank with a proper number: 2, 2, 4, 8, 16, 32, 64,
, ...
7.
In the arithmetic sequence below, 2, 4, 6, 8, 10, ... What is the 85th term?
8.
4
n
is n 4s multiplied together. What is the last digit of
4
140
?
9.
If you start with 2 and count by 5s, you get the sequence: 2, 7, 12, ..., 257, where 2 is 1st term, 7 is the 2nd term, 12 is 3rd term, and so on... 257 is the
n
-th term. What is the value of
n
?
10.
A series of numbers '345673456734567...' has a certain pattern. What is the sum of the first 122 digits in the number starting from the left side?
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