What level does grovyle learn a new move?

Answer 1

DPP and HGSS Level-Up Moves:DP P HSAttackEffectDamageTypePwrAcc111TackleDamages the target.Normal3595%333Sand-AttackLowers the target's Accuracy by 1 stage.GroundN/A100%777Dragon RageAlways deals 40 points of damage.DragonSet100%131313SandstormCancels all other weather moves. For 5 turns: the Special Defense of Rock-type Pokemon is boosted by 50%, each active Pokemon, even when protected by a Substitute, loses 1/16 of its max HP unless it has Sand Veil or is a Ground-, Rock-, or Steel-type, the power of Solarbeam is halved, and the healing power of Morning Sun, Synthesis and Moonlight is halved. The effects of Sandstorm will last for eight turns if its user is holding Smooth Rock.RockN/AN/A151515Take DownThe user receives 1/4 recoil damage.Normal9085%191919Sand TombTraps the target for 2-5 turns, causing damage equal to 1/16 of its max HP each turn; this trapped effect can be broken by Rapid Spin. The target can still switch out if it is holding Shed Shell or uses Baton Pass or U-Turn.Ground1570%252525SlashHas a high critical hit ratio.Normal70100%272727Dragon ClawDamages the target.Dragon80100%313131DigOn the first turn, the user digs underground, becoming uncontrollable, and evades all attacks. Earthquake and Magnitude can hit underground and gain doubled power. The user may also be hit underground if it was previously targeted by Lock-On or Mind Reader or if it is attacked by a Pokemon with No Guard. On the second turn, the user attacks.Ground80100%373737Dragon RushHas a 20% chance to make the target flinch.Dragon10075%

Answer 2

it learns Fury Cutter at level 16

then pursuit at level 17

then screech at level 23

then leaf blade at level 29 (this is a very good move for grovyle)

then agility at level 35.

Then evolve your Grovyle into Sceptile at level 36 and it should learn some much stronger moves.