Addition 
To dream that you completed an addition problem means that you may have difficulty with a strenuous situation or stubborn foe.
To dream of a mistake in an addition problem means you will discover your opponents' plans in advance of their being able to run them.
New
To dream of a new house suggests taking on a new character and honing new strengths. It projects your attempt to react in an emotionally mature manner.
To dream of new shoes implies overconfidence in your achievements. This may also mean threading a new path in life.
To dream of being in a new school hints of a notion that you do not belong to the new environment. It likewise expresses the desire to fit in.
In summary, dreaming of new things and places is a representation of new things and situations in your life. You might be attempting to learn and evaluate lessons from previous experiences.
Arithmetic
To dream about arithmetic literally means that you need to add more logical ways into your thinking. Be cautious by trying not to act irrationally.
Having a dream of solving a mathematical problem or equation, it is a way of telling you that there is a current problem you may be confused or having trouble with, therefore a new approach is needed.
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