Business and Management

If you're looking for the IB Business Management formula sheet, you've come to the right place! Below you'll find all relevant formulas, with explanations and notes.&nbsp;&nbsp;<h2 style="text-align:center;">IB Business Management Formula Sheet</h2>&nbsp;<pre><code class="language-plaintext">PDF: https://clastify-cms-static-assets.s3.eu-west-2.amazonaws.com/Business_Management_Formula_Sheet_updated_982dc9764a.pdf; DOWNLOAD: true</code></pre><h3>&nbsp;</h3>&nbsp;<h3>Formulae for ratio analysis (SL/HL)</h3>&nbsp;<h4>Profitability ratios SL/HL)</h4>&nbsp;<figure class="table"><table><thead><tr><th>Name</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Gross profit margin</td><td>(Gross profit/Sales revenue) × 100</td><td>Common mistake: Using net profit instead of gross profit; they are different measures.</td></tr><tr><td>Profit margin</td><td>(Profit before interest and tax/Sales revenue) × 100</td><td>Remember: Higher profit margin indicates better control over operating costs relative to sales.</td></tr><tr><td>Return on capital employed (ROCE)</td><td>(Profit before interest and tax/Capital employed) × 100where capital employed = non-current liabilities + equity</td><td>Common mistake: Using total assets instead of capital employed; include only equity and non-current liabilities.</td></tr></tbody></table></figure>&nbsp;&nbsp;<h4>Liquidity ratios (SL/HL)</h4>&nbsp;<figure class="table"><table><thead><tr><th>Name</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Current ratio</td><td>Current assets/Current liabilities</td><td>Remember: A ratio above 1 generally indicates good liquidity, but too high may indicate inefficient use of assets.</td></tr><tr><td>Acid test (quick ratio)</td><td>Current assets-stock/Current liabilities</td><td>Common mistake: Forgetting to subtract stock from current assets.&nbsp;</td></tr></tbody></table></figure>&nbsp;&nbsp;<h4>Efficiency ratios (HL only)</h4>&nbsp;<figure class="table"><table><thead><tr><th>Name</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Stock turnover (number of times)</td><td>Cost of sales/Average stockwhere cost of sales is an approximation of total credit purchases</td><td>Remember: Extremely high turnover may indicate insufficient stock levels, risking lost sales.</td></tr><tr><td>Stock turnover (number of days)</td><td>(Average stock/Cost of sales) × 365where cost of sales is an approximation of total credit purchases and Average stock = Opening stock + Closing stock)/2</td><td>Remember: Extremely low days may indicate stock shortages, while very high days suggest slow-moving inventory.</td></tr><tr><td>Debtor days ratio (number of days)</td><td>(Debtors/Total sales revenue) × 365&nbsp;where total sales revenue is an approximation of total credit sales</td><td>Remember: High debtor days may indicate cash flow problems or weak credit control.</td></tr><tr><td>Creditor days ratio (number of days)</td><td>(Creditors/Cost of sales) × 365&nbsp;where cost of sales is an approximation of total credit purchases</td><td>Remember: Extremely long creditor days may indicate liquidity issues or strained supplier relations.&nbsp;</td></tr><tr><td>Gearing ratio</td><td>(Non-current liabilities/Capital employed) × 100where Capital employed = Non-current liabilities + Equity</td><td>Common mistake: Using total liabilities instead of just non-current liabilities.&nbsp;</td></tr></tbody></table></figure>&nbsp;&nbsp;<h3>Other formulae (SL/HL)</h3>&nbsp;<h4>Investment appraisal (SL/HL)</h4>&nbsp;<figure class="table"><table><thead><tr><th>Name</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Average rate of return (ARR)</td><td>[((Total returns - Capital cost) ÷ Years of use)/capital cost] x 100</td><td>Remember: ARR does not account for the timing of cash flows; consider alongside NPV or IRR for investment decisions.</td></tr></tbody></table></figure>&nbsp;&nbsp;<h4>Investment appraisal (HL Only)</h4>&nbsp;<figure class="table"><table><thead><tr><th>Name</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Net present value (NPV)</td><td>Σpresent values of return - original cost</td><td>Remember: NPV accounts for the timing of cash flows, unlike ARR.</td></tr></tbody></table></figure>&nbsp;&nbsp;<h4>Capacity utilization and productivity (HL Only)</h4>&nbsp;<figure class="table"><table><thead><tr><th>Name</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Capacity utilization rate</td><td>(Actual output/Productive capacity) × 100</td><td>Common mistake: Using total possible output instead of productive capacity; ensure the denominator reflects realistic capacity.</td></tr><tr><td>Productivity rate</td><td>(Total output/Total input) × 100</td><td>Remember: Can be applied to labor, materials, or overall production.</td></tr></tbody></table></figure>&nbsp;&nbsp;We hope you found this post helpful. For more useful materials associated with the IB, check out the wide variety of <a href="/ia" target="_blank" rel="noopener noreferrer">IA</a>, <a href="/ee" target="_blank" rel="noopener noreferrer">EE </a>and <a href="/tok" target="_blank" rel="noopener noreferrer">TOK </a>exemplars available at <a href="/" target="_blank" rel="noopener noreferrer">Clastify </a>and other guides available on our <a href="/blog" target="_blank" rel="noopener noreferrer">blog</a>.&nbsp;

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A detailed guide to the IB Business Management formula sheet, including common mistakes and tips to remember. Click here for all required formulas in the IB Business Management course.

IB Business Management Formula Sheet

Physics

If you're looking for the IB Physics data booklet, you've come to the right place! Below, you'll find all relevant formulae and data, along with explanations and notes.&nbsp;&nbsp;<h2 style="text-align:center;">IB Physics Data Booklet</h2>&nbsp;&nbsp;<pre><code class="language-plaintext">PDF: https://clastify-cms-static-assets.s3.eu-west-2.amazonaws.com/Physics_Data_Booklet_d9f9863042.pdf; DOWNLOAD: true</code></pre>&nbsp;&nbsp;<h3>Content</h3>&nbsp;The IB Physics Data booklet contains the sections below. To see the associated data and annotations, please refer to the PDF above.&nbsp;<ul><li data-list-item-id="ed00fb6414dc3079536be538e68a3030c">Mathematical Equations&nbsp;</li><li data-list-item-id="e822da7ec849e00bec6e113c8a23da802">Uncertainties</li></ul>&nbsp;<ul><li data-list-item-id="e5478ab89490af4fe8c4763ba121c0246">Fundamental constants</li></ul>&nbsp;<ul><li data-list-item-id="e4e4aa181ef85c3fe28f4951932f4f2dc">Metric (SI) multipliers</li></ul>&nbsp;<ul><li data-list-item-id="e39f9f0e0ec38d6031b136bbbb3d95573">Unit conversions&nbsp;</li></ul>&nbsp;<ul><li data-list-item-id="ed8680ad82d7eeb466b6d7b4dec34aadd">Electrical circuit symbols&nbsp;</li><li data-list-item-id="ef9645d8debe0cc03fd5c2f1d483e949b">Electromagnetic spectrum&nbsp;</li><li data-list-item-id="e17da7eeb92ef251173ed5cdc2d168e1c">A. Space, time and motion (SL and HL)&nbsp;</li><li data-list-item-id="e3641277b07b41bdea16e421d79a5a46d">A. Space, time and motion (HL only)&nbsp;</li><li data-list-item-id="e2cc99ab7344136e7f7086ba147f8d34b">B. The particulate nature of matter (SL and HL)&nbsp;</li><li data-list-item-id="e30bcdbe51445094b9e2495232891c888">B. The particulate nature of matter (HL only)&nbsp;</li><li data-list-item-id="ead18edf791496737dd8f216ed5994e5c">C. Wave behaviour (SL and HL)&nbsp;</li><li data-list-item-id="e218177db1c6d4970446a36d5efe21d47">C. Wave behaviour (HL only)&nbsp;</li><li data-list-item-id="eebc4b566da277b2ee36f0e1da2711f53">D. Fields (SL and HL)&nbsp;</li><li data-list-item-id="e03e72a1c6edacb40f0928401a2e30666">D. Fields (HL only)&nbsp;</li><li data-list-item-id="e21900b6df95c364200c37498fd270891">E. Nuclear and quantum physics (SL and HL)&nbsp;</li><li data-list-item-id="e168c16cdcda36b0ac8935ab72c440ddb">E. Nuclear and quantum physics (HL only)</li></ul>&nbsp;&nbsp;We hope you found this post helpful. For more useful materials associated with the IB, check out the wide variety of <a href="/ia" target="_blank" rel="noopener noreferrer">IA</a>, <a href="/ee" target="_blank" rel="noopener noreferrer">EE </a>and <a href="/tok" target="_blank" rel="noopener noreferrer">TOK </a>exemplars available at <a href="/" target="_blank" rel="noopener noreferrer">Clastify </a>and other guides available on our <a href="/blog" target="_blank" rel="noopener noreferrer">blog</a>.&nbsp;

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A detailed guide to the IB Physics data booklet, including common mistakes and tips to remember. Click here to read the data booklet for the IB Physics course.  

IB Physics Data Booklet

Math AA

IB Math AA formula booklet. Click here for for all required formulas for the Mathematics: Analyses and Approaches course.  

IB Math AA Formula Booklet

Math AI

A detailed insight into the IB Math AI formula booklet, including common mistakes and tips to remember. Click here for all required formulas for the Mathematics: Applications and Interpretations (Math AI) course.  

IB Math AI Formula Booklet

Biology

While the IB Biology syllabus doesn’t provide a formula booklet, there are several key formulae that are essential to know for your exams. In this post, we’ll highlight the formulae you should be familiar with.&nbsp;&nbsp;&nbsp;<h2 style="text-align:center;">IB Biology Formula Booklet</h2>&nbsp;&nbsp;<figure class="table"><table><thead><tr><th>Name&nbsp;</th><th>Formula</th><th>Notes/Annotations</th></tr></thead><tbody><tr><td>Mean</td><td>Mean = Σx/nwhere Σx is the sum of all data values and n is the number of data values</td><td>Remember: Sensitive to extreme values (outliers), which can skew the mean.</td></tr><tr><td>Percentage change</td><td>% change = [(Final value − Initial value) ÷ Initial] × 100</td><td>Common mistake: Dividing by the final value instead of the initial value; always use the initial value in the denominator.</td></tr><tr><td>Magnification</td><td>M = I ÷ Awhere I is the Image size (measured with a ruler) and A is the Actual size (according to scale bar)</td><td>Remember: You can rearrange the formula to find the image size or the actual size.</td></tr><tr><td>BMI</td><td>BMI = mass (kg) ÷ [height (m)]2</td><td>Remember: BMI is a general guideline and may not account for muscle mass or body composition.</td></tr><tr><td>Energy in food</td><td>Energy (kJ/g) = (Water mass × ΔT × 4.2) ÷ Mass of foodwhere ΔT is the temperature change of the water (in °C)</td><td>Remember: 4.2 represents the specific heat capacity of water in J/g°C; convert to kJ by dividing by 1000 if needed.&nbsp;</td></tr></tbody></table></figure>&nbsp;&nbsp;&nbsp;We hope you found this post helpful. For more useful materials associated with the IB check out the wide variety of <a href="/ia" target="_blank" rel="noopener noreferrer">IA</a>, <a href="/ee" target="_blank" rel="noopener noreferrer">EE </a>and <a href="/tok" target="_blank" rel="noopener noreferrer">TOK </a>exemplars available at <a href="/" target="_blank" rel="noopener noreferrer">Clastify </a>and other guides available on our <a href="/blog" target="_blank" rel="noopener noreferrer">blog</a>.

There's no formula booklet for the IB Biology syllabus. Nevertheless, in this blog we'll provide you with the formulas you'll need to know to excel in your exams. 

IB Biology Formula Booklet

Chemistry

If you're looking for the IB Chemistry data booklet, you've come to the right place! Below, you'll find all relevant formulas and chemical data, along with explanations and notes.&nbsp;&nbsp;<h2 style="text-align:center;">IB Chemistry Data Booklet</h2>&nbsp;&nbsp;<pre><code class="language-plaintext">PDF: https://clastify-cms-static-assets.s3.eu-west-2.amazonaws.com/Chemistry_Data_Booklet_e646ee91a0.pdf; DOWNLOAD: true</code></pre>&nbsp;&nbsp;<h3 style="text-align:justify;">Content</h3><h3 style="text-align:justify;">&nbsp;</h3>The IB Chemistry Data booklet contains the sections below. To see the associated data and annotations, please refer to the PDF above.&nbsp;<ol><li>Some relevant equations&nbsp;</li><li>Physical constants&nbsp;&nbsp;</li><li>Metric (SI) multipliers&nbsp;</li><li>Unit conversions and standard conditions&nbsp;<o:p></o:p></li><li>The electromagnetic spectrum&nbsp;</li><li>Names of the elements&nbsp;</li><li>The periodic table&nbsp;&nbsp;</li><li>Melting points and boiling points of the elements at 101.325 kPa&nbsp;</li><li>First ionization energy, electron affinity and electronegativity of the elements&nbsp;&nbsp;</li><li>Atomic and ionic radii of the elements&nbsp;</li><li>Covalent or average covalent bond length&nbsp;</li><li>Bond enthalpies or average bond enthalpies at 298.15 K&nbsp;</li><li>Thermodynamic data (selected compounds)&nbsp;</li><li>Enthalpies of combustion&nbsp;</li><li>Colour wheel with wavelengths of the visible spectrum&nbsp;</li><li>Lattice enthalpies at 298.15 K (experimental values)&nbsp;</li><li>Triangular bonding diagram (van Arkel-Ketelaar triangle)&nbsp;</li><li>Acid-base indicators&nbsp;</li><li>Standard reduction potentials at 298.15 K&nbsp;</li><li>Infrared data&nbsp;</li><li>1H NMR data&nbsp;</li><li>Mass spectral fragments lost&nbsp;</li><li>Uncertainties</li></ol>&nbsp;&nbsp;We hope you found this post helpful. For more useful materials associated with the IB, check out the wide variety of <a href="/ia" target="_blank" rel="noopener noreferrer">IA</a>, <a href="/ee" target="_blank" rel="noopener noreferrer">EE </a>and <a href="/tok" target="_blank" rel="noopener noreferrer">TOK </a>exemplars available at <a href="/" target="_blank" rel="noopener noreferrer">Clastify </a>and other guides available on our <a href="/blog" target="_blank" rel="noopener noreferrer">blog</a>.&nbsp;

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A detailed guide to the IB Chemistry data booklet, including common mistakes and tips to remember. Click here to read the data booklet for the IB Chemistry course.  

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