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Mathematics · Grades 3–5

Arithmetic · Formula sheet

Rules, conditions and small examples in one printable reference.

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Two-digit addition

Regroup ten ones as one ten when needed.

ones + ones; tens + tens

66 + 35 = 101

Two-digit subtraction

Exchange one ten for ten ones when needed.

difference + subtrahend = minuend

13 + 14 = 27

Times tables to twelve

Multiplication represents equal groups.

groups × group size = total

10 × 2 = 20

Division facts

Use the related multiplication fact; the divisor cannot be zero.

dividend ÷ divisor = quotient

8 × 7 = 56

Find the remainder

The remainder is at least zero and smaller than the positive divisor.

dividend = divisor × quotient + remainder

78 = 4 × 19 + 2

Balance two sides

Work out one side, then subtract the known part.

a + □ = b + c

13 + 41 − 22 = 32

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.