There is no direct connection from New Malden to Woking. However, you can take the bus to Surbiton then take the train to Woking. Alternatively, South Western Railway operates a vehicle from New Malden to Woking 6 times a week. Tickets cost $8 - $13 and the journey takes 21 min.
From Berrylands, Pembroke Avenue bus to Surbiton then train to Woking. 37 min £9. From New Malden night train to Woking. 21 min £7. From New Malden taxi to Woking. 24 min £74. From New Malden drive to Woking. 24 min £3.