Is my heart rate normal if it goes quickly from low to high?

Yes. Responsiveness to physiologic need is a sign of health. Going up quickly is normal assuming you're not going from 80 to 240! but if you go from 80 to 120 (the exact numbers depend on age) and then come back down quickly with rest, you're very healthy! (hr should drop 10% within 1 minute of cool down).

Related Questions

Is a heart rate always high if your heart is pounding or can it happen when it's low to normal too?

Yes it can. Heavy pounding of the heart relates more to the force of contraction which is governed by the amount od catecholamines (adrenalin) as well as the volume of blood put out with contraction.. Often times this will lead to a faster heart rate but it doesn't have to. An example would be aortic regurgitation wherein the heart is heavily loaded (preload), from backward filling across aortic valve. Read more...
No. A sensation of your heart pounding can happen if your heart is beating more forcefully, or if you have a heightened awareness of your heart beat. This can happen regardless of the heart rate. Read more...

How is the heart rate when chest pains occur due to heart problems, high or low or just normal? It should be high though bcoz heart struggles to pump.

Varies. It is not possible to diagnose a cardiac condition by HR alone. Some heart attacks can cause a slow rate, sometimes if the heart is in failure the rate can elevate. If there is a flow problem again the rate increases to compensate It always important to evaluate ANY heart condition be it rate pain or arrhythmia. Read more...
Heart rate. An interesting question:a very complex answer likely needing a chapter in a book! Read more...