Unless you are happy with the room looking very dark, personally i would advise using the colours as highlights, rather than main colours IYSWIM - I still have nightmares about a living room makeover my DM did when I was a DC - deep purple walls, lime skirting, doors etc, purple 60s swirl carpet & sofa
I've used deep purple & lime in my own 10yr old DDs room' though more as a highlight along with turquoise, bright pink, silver & silver grey.
All walls are silver grey (Dulux French Grey), the recess wall is deep purple (colours "jazzy") the opposite wall is silver wallpaper with a bright pink floral silhouette type design ( this was quite new & she still liked it & left over from the last decorating session, but we fit it into the new make over
all shelves, wooden & wicker furniture & paintwork are metallic silver (Rustins Aluminium) & the insides of all the silver metallic painted cube type furniture (cheap pine B&Q pigeonhole) are alternating bright -' lime, turquoise, pink, purple
Silver vinyl flooring, lime rug, silver blind with bright pink curtains & green pots in the windowsill - lime dome drop light fitting, (BHS), lime bean bag, silver bedding with lime & purple fleece throws & lime, purple, turquoise & silver cushions - (BHS again)
Hope that makes sense, but in short, I'd be wary of the covering the room with those solid colours, but they go well as highlights in a mostly silver/pale grey room - then accessorise with deep purple & lime too, you can find lots if great stuff in these sort if brights at the moment
& as a bonus, have a grey base, makes the next make over cheap & easy too - just change the highlights & accessories 