We obtain new oscillation criteria for second-order forced dynamic equations on time scales containing mixed nonlinearities of the form ( r ( t ) Φ α ( x Δ ) ) Δ + f ( t , x σ ) = e ( t ) , t ∈ [ t 0 , ∞ ) T with f ( t , x ) = q ( t ) Φ α ( x ) + ∑ i = 1 n q i ( t ) Φ β i ( x ) , Φ ∗ ( u ) = | u | ∗ − 1 u , where [ t 0 , ∞ ) T is a time scale interval with t 0 ∈ T , the functions r , q , q i , e : [ t 0 , ∞ ) T → ℝ are right-dense continuous with r > 0 , σ is the forward jump operator, x σ ( t ) : = x ( σ ( t ) ) , and β 1 > ⋯ > β m > α > β m + 1 > ⋯ β n > 0 . All results obtained are new even for T = ℝ and T = ℤ . In the special case when T = ℝ and α = 1 our theorems reduce to (Y. G. Sun and J. S. W. Wong, Journal of Mathematical Analysis and Applications. 337 (2007), 549–560). Therefore, our results in particular extend most of the related existing literature from the continuous case to arbitrary time scale.