The difference between Form and Grade
When used as nouns, form means the shape or visible structure of a thing or person, whereas grade means a rating.
When used as verbs, form means to assume (a certain shape or visible structure), whereas grade means to assign scores to the components of an academic test.
check bellow for the other definitions of Form and Grade
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Form as a noun (physical):
To do with shape. The shape or visible structure of a thing or person. A thing that gives shape to other things as in a mold. Characteristics not involving atomic components. A long bench with no back. The boundary line of a material object. In painting, more generally, the human body. The combination of planes included under a general crystallographic symbol. It is not necessarily a closed solid.
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Form as a noun (social):
To do with structure or procedure. An order of doing things, as in religious ritual. Established method of expression or practice; fixed way of proceeding; conventional or stated scheme; formula. Constitution; mode of construction, organization, etc.; system. Show without substance; empty, outside appearance; vain, trivial, or conventional ceremony; conventionality; formality. A class or rank in society. A criminal record; loosely, past history (in a given area). A class or year of school pupils (often preceded by an ordinal number to specify the year, as in ).
Examples:
"a republican form of government"
"a matter of mere form'"
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Form as a noun:
A blank document or template to be filled in by the user.
Examples:
"To apply for the position, complete the application form."
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Form as a noun:
Level of performance.
Examples:
"The team's form has been poor this year."
"The orchestra was on top form this evening."
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Form as a noun (grammar):
A grouping of words which maintain grammatical context in different usages; the particular shape or structure of a word or part of speech.
Examples:
"participial forms;  verb forms'"
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Form as a noun:
The den or home of a hare.
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Form as a noun (computing, programming):
A window or dialogue box.
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Form as a noun (taxonomy):
An infraspecific rank.
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Form as a noun (printing, dated):
The type or other matter from which an impression is to be taken, arranged and secured in a chase.
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Form as a noun (geometry):
A quantic.
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Form as a noun (sports, fitness):
A specific way of performing a movement.
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Form as a verb (transitive):
To assume (a certain shape or visible structure).
Examples:
"When you kids form a straight line I'll hand out the lollies."
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Form as a verb (transitive):
To give (a shape or visible structure) to a thing or person.
Examples:
"Roll out the dough to form a thin sheet."
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Form as a verb (intransitive):
To take shape.
Examples:
"When icicles start to form on the eaves you know the roads will be icy."
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Form as a verb:
To put together or bring into being; assemble.
Examples:
"The socialists did not have enough MPs to form a government."
"Paul McCartney and John Lennon formed The Beatles in Liverpool in 1960."
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Form as a verb (transitive, linguistics):
To create (a word) by inflection or derivation.
Examples:
"By adding "-ness", you can form a noun from an adjective."
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Form as a verb (transitive):
To constitute, to compose, to make up.
Examples:
"Teenagers form the bulk of extreme traffic offenders."
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Form as a verb:
To mould or model by instruction or discipline.
Examples:
"Singing in a choir helps to form a child's sociality."
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Form as a verb:
To provide (a hare) with a form.
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Form as a verb (electrical, historical, transitive):
To treat (plates) to prepare them for introduction into a storage battery, causing one plate to be composed more or less of spongy lead, and the other of lead peroxide. This was formerly done by repeated slow alternations of the charging current, but later the plates or grids were coated or filled, one with a paste of red lead and the other with litharge, introduced into the cell, and formed by a direct charging current.
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Grade as a noun:
A rating.
Examples:
"I gave him a good grade for effort."
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Grade as a noun:
The performance of an individual or group on an examination or test, expressed by a number, letter, or other symbol; a score.
Examples:
"He got a good grade on the test."
"This fine-grade coin from 1837 is worth a good amount."
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Grade as a noun:
A degree or level of something; a position within a scale; a degree of quality.
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Grade as a noun:
A slope (up or down) of a roadway or other passage
Examples:
"The grade of this hill is more than 5 percent."
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Grade as a noun (North America, education):
A level of primary and secondary education.
Examples:
"Clancy is entering the fifth grade this year."
"Clancy starts grade five this year."
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Grade as a noun (Canada, education):
A student of a particular grade (used with the grade level).
Examples:
"The grade fives are on a field trip."
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Grade as a noun:
An area that has been flattened by a grader (construction machine).
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Grade as a noun:
The level of the ground.
Examples:
"This material absorbs moisture and is probably not a good choice for use below grade."
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Grade as a noun (mathematics):
A gradian.
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Grade as a noun (geometry):
In a linear system of divisors on an n-dimensional variety, the number of free intersection points of n generic divisors.
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Grade as a noun:
A harsh scraping or cutting; a grating.
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Grade as a noun (systematics):
A taxon united by a level of morphological or physiological complexity that is not a clade.
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Grade as a noun (medicine):
The degree of malignity of a tumor expressed on a scale.
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Grade as a verb:
To assign scores to the components of an academic test.
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Grade as a verb:
To assign a score to overall academic performance.
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Grade as a verb:
To flatten, level, or smooth a large surface.
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Grade as a verb (sewing):
To remove or trim part of a seam allowance from a finished seam so as to reduce bulk and make the finished piece more even when turned right side out.
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Grade as a verb (intransitive):
To pass imperceptibly from one grade into another.