raatools/

Math Formula Sheets

Formula cards with explanations — one A4/letter page per grade. Pick a grade and print.

Kindergarten Math Formula Sheet Counting, Shapes & Patterns
raatools.net
Name: _________________________________   Date: _______________
1  2  3  4  5
6  7  8  9  10
Counting to 10
Say each number as you touch each object — one number per object.
11 12 13 14 15
16 17 18 19 20
Counting to 20
Teen numbers start with 1 (one ten) plus the extra ones.
0 = none
Zero
Zero means there are no objects in the group at all.
5 + 1 = 6
8 + 1 = 9
One more
One more than any number is the very next number when counting.
8 − 1 = 7
5 − 1 = 4
One less
One less than any number is the one just before it.
2 + 3 = 5
1 + 4 = 5
Addition (to 5)
Putting two groups together to find the total.
5 − 2 = 3
4 − 1 = 3
Subtraction (to 5)
Taking away objects from a group to find what is left.
1+4  2+3  5+0
0+5  3+2  4+1
Make 5
All the pairs of numbers that add up to exactly 5.
1+9  2+8  3+7
4+6  5+5  10+0
Make 10
All the pairs of numbers that add up to exactly 10.
⬤  round shape
no corners, no flat sides
Circle
Every point on a circle is the same distance from the centre.
4 equal sides
4 square corners
Square
All four sides are the same length. All corners are right angles.
3 sides
3 corners
Triangle
The shape with the fewest sides. Comes in many sizes.
4 sides, 4 corners
2 long, 2 short sides
Rectangle
Opposite sides are equal. A square is a special rectangle.
MORE  LESS  EQUAL
>     <     =
Comparing groups
Count each group; then use the symbol to show which is bigger.
🔵🔴🔵🔴🔵🔴
AB  AB  AB …
Repeating pattern
Find the rule and say what comes next in the pattern.
1 whole → 2 equal parts
each part = one half = ½
Half
Splitting something into 2 equal pieces; each piece is one half.

What are formula sheets?

Formula sheets are concise reference documents that list the most important mathematical, scientific, and engineering formulas in one place. They serve as quick-reference guides during study sessions, homework, exams (where permitted), and professional work. Having all key formulas organized by topic saves time and reduces errors.

This tool provides printable formula sheets covering algebra, geometry, trigonometry, calculus, statistics, and physics. Each sheet is organized by topic with clear notation, variable definitions, and the conditions under which each formula applies.

How to use formula sheets effectively

Do not memorize formulas blindly — understand what each variable represents and when the formula applies. The most effective study technique is to derive the formula yourself, then check against the reference sheet. This builds intuition about why the formula works, not just what it looks like.

Print the sheets and keep them within arm's reach during study sessions. Highlight the formulas you use most frequently. For exams that allow reference sheets, create your own condensed version — the act of selecting and writing formulas is itself a powerful study technique.

Topics covered

  • Algebra: Quadratic formula, factoring rules, exponent laws, logarithm properties.
  • Geometry: Area and perimeter of common shapes, volume formulas for solids, circle properties.
  • Trigonometry: Unit circle values, identities, law of sines and cosines.
  • Calculus: Derivative rules, integral formulas, limits, series.
  • Statistics: Mean, median, standard deviation, probability distributions, hypothesis testing.

Frequently asked questions

Can I use these formula sheets during exams?

That depends entirely on your instructor's or institution's exam policy. Many standardized tests prohibit outside materials, while some professors allow a handwritten reference sheet. Always check the rules before bringing any materials to an exam.

Are these formulas suitable for university-level courses?

These sheets cover the standard formulas taught in high school through early university courses. Advanced courses may require specialized formulas not included here. The sheets are designed to be a starting point — customize them by adding formulas specific to your course.