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You are here: Home / GMAT / AMC Questions for GMAT

AMC Questions for GMAT

GMAT Challenge Problems for Students Targeting a High Score

The following practice problems are intended for students targeting a score of 90th percentile plus in the quantitative reasoning section of the GMAT. The majority of the problems are a step beyond GMAT, although many could be on the GMAT. All of the problems can be solved with the same concepts that are necessary for the GMAT. I have selected only those problems that are conceptually related to the quantitative section of the GMAT.

Many of these problems are difficult, and require a certain level of ingenuity. I recommend that you struggle with these problems and sharpen your problem solving skills. All of these problems come from the American Mathematics Competition and are of very high quality, and in my opinion better than the Official GMAT problems.

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Number Theory

2005AMC12AQ18

Choice A Video Explanation

, 2005AMC12BQ19

Choice E Video Explanation

, 2005AMC12BQ21

Choice C Video Explanation

, 2005AMC12BQ15

Choice D Video Explanation

, 2005AMC12AQ12

Choice D Video Explanation

, 2004AMC12BQ15

Choice B Video Explanation

, 2003AMC12BQ18

Choice B Video Explanation

, 2003AMC12BQ12

Choice D Video Explanation

, 2003AMC12AQ23

Choice B Video Explanation

, 1997AHSME12Q20

Choice A Video Explanation

, 1958AHSME12Q45

Choice B Video Explanation

.

Arithmetic

2001AMC12AQ05

Choice D Video Explanation

, 1999AHSME12Q11

Choice A Video Explanation

, 1995AHSME12Q16

Choice E Video Explanation

, 1995AHSME12Q12

Choice C Video Explanation

, 1985AHSME12Q15

Choice E Video Explanation

, 1981AHSME12Q12

Choice E Video Explanation

, 1983AHSME12Q25

Choice B Video Explanation

, 1983AHSME12Q21

Choice D Video Explanation

, 1984AHSME12Q09

Choice D Video Explanation

, 1986AHSME12Q14

Choice D Video Explanation

, 1986AHSME12Q09

Choice C Video Explanation

, 1950AHSME12Q31

Choice C Video Explanation

.

Algebra

2002AMC12BQ19

Choice D Video Explanation

, 2002AMC12AQ12

Choice B Video Explanation

, 2007AMC12AQ14

Choice C Video Explanation

, 2000AMC12Q20

Choice B Video Explanation

, 2000AMC12Q11

Choice E Video Explanation

, 2001AMC12Q09

Choice C Video Explanation

, 1995AHSME12Q14

Choice E Video Explanation

, 1982AHSME12Q17

Choice C Video Explanation

, 1986AHSME12Q20

Choice E Video Explanation

, 1987AHSME12Q15

Choice D Video Explanation

, 1988AHSME12Q19

Choice B Video Explanation

, 1992AHSME12Q16

Choice E Video Explanation

.

Word Problems

2004AMC12AQ15

Choice C Video Explanation

, 2002AMC12BQ17

Choice B Video Explanation

, 2002AMC12AQ11

Choice B Video Explanation

, 2002AMC12AQ10

Choice D Video Explanation

, 2007AMC12AQ09

Choice B Video Explanation

, 2000AMC12Q13

Choice C Video Explanation

, 1998AHSMEQ21

Choice C Video Explanation

, 1996AHSME12Q13

Choice D Video Explanation

, 1987AHSME12Q18

Choice D Video Explanation

, 1973AHSME12Q33

Choice C Video Explanation

, 1966AHSME12Q37

Choice C Video Explanation

, 1966AHSME12Q27

Choice A Video Explanation

.

Statistics

2004AMC12BQ11

Choice D Video Explanation

, 2002AMC12AQ15

Choice D Video Explanation

, 2007AMC12AQ15

Choice E Video Explanation

, 2007AMC12BQ12

Choice C Video Explanation

, 1997AHSME12Q18

Choice E Video Explanation

, 1982AHSME12Q28

Choice B Video Explanation

.

Sequences

2005AMC12AQ19

Choice B Video Explanation

, 2004AMC12BQ12

Choice C Video Explanation

, 2002AMC12AQ21

Choice B Video Explanation

, 2007AMC12AQ11

Choice D Video Explanation

, 1984AHSME12AQ12

Choice B Video Explanation

, 1992AHSME12Q18

Choice D Video Explanation

.

Counting and Probability

2003AMC12BQ19

Choice E Video Explanation

, 2007AMC12AQ12

Choice E Video Explanation

, 2001AMC12Q16

Choice D Video Explanation

, 1980AHSME12Q20

Choice C Video Explanation

, 1988AHSME12Q12

Choice A Video Explanation

, 1990AHSME12Q16

Choice C Video Explanation

.

Logical Reasoning

2003AMC12AQ12

Choice E Video Explanation

, 1986AHSME12Q17

Choice B Video Explanation

, 1987AHSME12Q17

Choice E Video Explanation

, 1987AHSME12Q12

Choice D Video Explanation

.
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