As standardized measures of cognitive abilities and academic achievement continue to evolve, so do the relations between the constructs represented in these measures. A large, nationally representative sample of school‐aged children and youth between 6 and 19 years of age (N = 4,194) was used to systematically evaluate the relations between cognitive abilities and components of academic achievement in mathematics. The cognitive abilities of interest were those identified from the Cattell–Horn–Carroll model of intelligence. Specific areas of mathematics achievement included math calculation skills and math problem solving. Results suggest that fluid reasoning (Gf), comprehension‐knowledge (Gc), and processing speed (Gs) have the strongest and most consistent relations with mathematics achievement throughout the school years.Copyright © 2017 John Wiley & Sons, Ltd.