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.
Number Theory
2005AMC12AQ18
, 2005AMC12BQ19
, 2005AMC12BQ21
, 2005AMC12BQ15
, 2005AMC12AQ12
, 2004AMC12BQ15
, 2003AMC12BQ18
, 2003AMC12BQ12
, 2003AMC12AQ23
, 1997AHSME12Q20
, 1958AHSME12Q45
.
Arithmetic
2001AMC12AQ05
, 1999AHSME12Q11
, 1995AHSME12Q16
, 1995AHSME12Q12
, 1985AHSME12Q15
, 1981AHSME12Q12
, 1983AHSME12Q25
, 1983AHSME12Q21
, 1984AHSME12Q09
, 1986AHSME12Q14
, 1986AHSME12Q09
, 1950AHSME12Q31
.
Algebra
2002AMC12BQ19
, 2002AMC12AQ12
, 2007AMC12AQ14
, 2000AMC12Q20
, 2000AMC12Q11
, 2001AMC12Q09
, 1995AHSME12Q14
, 1982AHSME12Q17
, 1986AHSME12Q20
, 1987AHSME12Q15
, 1988AHSME12Q19
, 1992AHSME12Q16
.
Word Problems
2004AMC12AQ15
, 2002AMC12BQ17
, 2002AMC12AQ11
, 2002AMC12AQ10
, 2007AMC12AQ09
, 2000AMC12Q13
, 1998AHSMEQ21
, 1996AHSME12Q13
, 1987AHSME12Q18
, 1973AHSME12Q33
, 1966AHSME12Q37
, 1966AHSME12Q27
.
Statistics
2004AMC12BQ11
, 2002AMC12AQ15
, 2007AMC12AQ15
, 2007AMC12BQ12
, 1997AHSME12Q18
, 1982AHSME12Q28
.
Sequences
2005AMC12AQ19
, 2004AMC12BQ12
, 2002AMC12AQ21
, 2007AMC12AQ11
, 1984AHSME12AQ12
, 1992AHSME12Q18
.
Counting and Probability
2003AMC12BQ19
, 2007AMC12AQ12
, 2001AMC12Q16
, 1980AHSME12Q20
, 1988AHSME12Q12
, 1990AHSME12Q16
.