Math formulas by topic, on one page

Every formula from the formula cards on the English practice and simulation pages, collected on one page and grouped by topic. Each formula links to the page with the explanation, worked examples and a calculator. To print it, use Print in your browser.

The formulas are copied automatically from those pages, so they always match what the topic page shows. A few topics only have a formula card in Dutch so far (GCD and LCM, division with remainder, scale, area and volume); you find those on the Dutch formula page. Know the formula but not how to use it on your numbers? Ask a question and the matching calculator shows the steps.

Which topic belongs to which exam

Which formulas you are given on the exam itself depends on the subject and level, and the syllabus on Examenblad.nl is the place to check that. The table below answers a different question: which topics the 2027 central exam syllabi name, as listed on our maps for math vmbo, math B havo and math B vwo.

Topics named in the 2027 central exam syllabi (codes refer to the syllabus)
Topic	vmbo	B havo	B vwo
Percentages and fractions	5.2, 5.4	—	—
Linear relationships and equations	4.1	B2	B5
Quadratic equations, systems of two equations	—	B2	B5
Exponential growth	4.1 (KB, GT)	B1	B2
Derivative	—	D2, D3	C1, C2
Pythagorean theorem; sine, cosine and tangent	6.3 (KB, GT)	C1	E1
Scale, area and volume	6.2	—	—

A dash means the topic is not named as a part of that syllabus on our map. Mean and the normal distribution do not appear on these three maps; on vmbo, statistics belongs to the school exam (WI/K/7).

28 formulas, taken from the formula cards on the English practice and simulation pages.

Numbers and ratios

Percent of $amount = number \times percentage \div 100$ Percentage calculator
Part of a whole $percentage = part \div whole \times 100$ Percentage calculator
Adding (common denominator) $\frac{a}{n} + \frac{b}{n} = \frac{a + b}{n}$ Fraction calculator
Multiplying $\frac{a}{b} \times \frac{c}{d} = \frac{a c}{b d}$ Fraction calculator
Dividing $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ Fraction calculator

Algebra and equations

Linear equation $a x + b = c$ Linear equation solver
Solution (a ≠ 0) $x = \frac{c - b}{a}$ Linear equation solver
Linear function $y = a x + b$ Linear function
Discriminant $D = b^{2} - 4 a c$ Quadratic formula calculator
Quadratic formula $x = \frac{- b \pm \sqrt{D}}{2 a}$ Quadratic formula calculator
Parabola $y = a x^{2} + b x + c$ Parabola
Vertex x $x = - \frac{b}{2 a}$ Parabola

Functions and growth

Exponential growth $N = B \cdot g^{t}$ Exponential growth calculator
Growth factor for p% growth $g = 1 + \frac{p}{100}$ Exponential growth calculator
Growth factor over k periods $g^{k}$ Exponential growth calculator
Doubling time $T = \frac{\log (2)}{\log (g)}$ Exponential growth calculator

Derivatives

Power rule $f (x) = a x^{n} \Rightarrow f^{'} (x) = n a x^{n - 1}$ Derivative calculator
Tangent line at x = p $y = f^{'} (p) x + b$ Derivative calculator

Geometry

Theorem (c = hypotenuse) $a^{2} + b^{2} = c^{2}$ Pythagorean theorem calculator
Hypotenuse $c = \sqrt{a^{2} + b^{2}}$ Pythagorean theorem calculator
Leg $a = \sqrt{c^{2} - b^{2}}$ Pythagorean theorem calculator

Trigonometry

SOH $\sin (α) = \frac{opposite}{hypotenuse}$ SOHCAHTOA calculator
CAH $\cos (α) = \frac{adjacent}{hypotenuse}$ SOHCAHTOA calculator
TOA $\tan (α) = \frac{opposite}{adjacent}$ SOHCAHTOA calculator

Statistics

Mean $\bar{x} = \frac{sum}{count}$ Mean calculator
About 68% $μ - σ \leq x \leq μ + σ$ Normal distribution calculator
About 95% $μ - 2 σ \leq x \leq μ + 2 σ$ Normal distribution calculator
Almost 100% $μ - 3 σ \leq x \leq μ + 3 σ$ Normal distribution calculator

×	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100