A new and distinct cultivar of Argyranthemum plant named ‘;Bonmad 1498’;, characterized by its compact, upright, uniform and mounded plant habit; vigorous growth habit; early and freely flowering habit; semi-double-type inflorescences with ray florets that are initially light yellow in color with development becoming deep pink to moderately purplish pink and pale yellow in color and yellow orange-colored disc florets; and good garden performance.