A considerable amount of recent evidence suggests that speed of information processing (SIP) may be related to general giftedness as well as contributing to higher mathematical ability. To date, no study has examined SIP associated with both general giftedness (G) and excellence in mathematics (EM). This paper presents a part of more extensive research aimed at a multidimensional examination of mathematical giftedness, which is a complex function of the G factor and EM factor. The research population consisted of four groups of 10th-11th grade students who differed in their G level and EM level. 190 participants performed five SIP tests: "Visual-matching," "Cross-out of numbers," "Digit-symbol," "Symbol-search" and "Simple arithmetic exercises." We found that the G-EM group outperformed the three other study groups on all five tests. The findings reveal that between-group differences in performance on "Cross-out of numbers" and "Simple arithmetic exercises" tests are associated with both G and EM factors, whereas especially the G factor had an effect on students' scores on "Digit-symbol," "Symbol-search" and "Visual-matching" tests. In addition, we found gender differences on the "Digit-symbol" and "Symbol-search" tests. The results of this study suggest that EM and G factors are interrelated but represent different traits with respect to the SIP.