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Ratio Analysis — Notes

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1. Ratio analysis and the four ISC groups

An accounting ratio expresses the relationship between two related figures in the financial statements, for example current assets and current liabilities. Ratio analysis means computing such ratios, comparing them (with past years, other firms or accepted standards) and interpreting them.

Forms: pure ratio (2 : 1); times (10 times); percentage (25%); rupees per share (₹3.00).

The ISC syllabus lists four groups:

  • Liquidity: current ratio; quick (liquid or acid-test) ratio.
  • Solvency: debt to equity; proprietary; debt to total assets; interest coverage.
  • Activity: trade receivables, trade payables, inventory and working capital turnover.
  • Profitability: gross profit, net profit, operating and operating profit ratios; earnings per share; price-earnings ratio; return on investment.

Ratios are read by comparison: with a convention (2 : 1, 1 : 1), with the same firm last year, or with similar firms.

Table of the four groups of ratios in the syllabus: liquidity, solvency, activity and profitability, with the question each answers and the ratios in each
ISC groupQuestion it answersRatios in the syllabus
LiquidityCan short-term dues be paid on time?Current ratio; quick (liquid, acid-test) ratio
SolvencyIs the long-term financial structure safe?Debt to equity; proprietary; debt to total assets; interest coverage
Activity (turnover)How efficiently are resources used?Trade receivables, trade payables, inventory and working capital turnover
ProfitabilityHow much does the business earn?Gross profit, net profit, operating, operating profit ratios; earnings per share; price-earnings; return on investment
Rounding rule in this chapter: two decimal places, rounded half up.
FormExample (Mohiniyattam Coir)Used for
Pure ratio (x : 1)Current ratio 2 : 1Liquidity and solvency ratios
TimesInventory turnover 10 timesActivity ratios, interest coverage, price-earnings
PercentageGross profit ratio 25%Profitability ratios
Rupees per shareEarnings per share ₹3.00Earnings per share

Key terms

Accounting ratio

A mathematical relationship between two related figures in the financial statements.

Ratio analysis

Computing, comparing and interpreting accounting ratios to judge a business.

Benchmark

A standard for comparison: a convention, an industry figure or last year’s ratio.

2. One set of definitions and the rounding rule

Definitions. The first table fixes every base used in the chapter; the second lists all seventeen formulas. Points to note:

  • Current assets and current liabilities follow the Schedule III heads of the balance sheet.
  • Debt means non-current liabilities only; current liabilities never enter the solvency ratios.
  • Capital employed can be reached three ways (liabilities side, assets side, total assets − current liabilities); the answers must agree.
  • Inventory, receivables and payables turnover use averages of opening and closing figures; working capital turnover uses the year-end working capital. If only closing figures are given, use them; if credit figures are not given, use the totals.
  • The net profit ratio is on profit after tax unless a question asks for profit before tax.

Rounding rule. Work every ratio to two decimal places, rounded half up (0.9625 → 0.96; 10.125 → 10.13); an exact result is written as it is (2.5 : 1, 25%). Earnings per share is written in rupees and paise (₹2.30).

One set of definitions; every ratio in this chapter follows it.
TermDefinition used in this chapter
Current assetsCurrent investments + inventories + trade receivables + cash and cash equivalents + short-term loans and advances + prepaid and other current assets
Current liabilitiesShort-term borrowings + trade payables + other current liabilities + short-term provisions
Quick assetsCurrent assets − inventories − prepaid expenses
DebtLong-term borrowings + long-term provisions (non-current liabilities)
EquityShareholders' funds = share capital + reserves and surplus
Total assetsNon-current assets + current assets
Working capitalCurrent assets − current liabilities (at the year end)
Capital employedShareholders' funds + non-current liabilities = non-current assets + working capital = total assets − current liabilities
Cost of revenue from operationsOpening inventory + net purchases + direct expenses − closing inventory (= revenue − gross profit)
Average inventory, receivables, payables(Opening + closing) ÷ 2
Operating expensesEmployee benefits, depreciation and amortisation, other operating (office, selling) expenses; not finance costs or non-operating items
Profit before interest and taxOperating profit + non-operating income − non-operating expenses (= profit before tax + interest)
Net profit (for the net profit ratio)Profit after tax
Earnings for equity shareholdersProfit after tax − preference dividend
Formula table of all seventeen measures in the chapter: two liquidity, four solvency, four activity and seven profitability measures
RatioFormula
Current ratioCurrent assets ÷ Current liabilities
Quick ratioQuick assets ÷ Current liabilities
Debt to equity ratioDebt ÷ Equity (shareholders' funds)
Proprietary ratioShareholders' funds ÷ Total assets
Debt to total assets ratioDebt ÷ Total assets
Interest coverage ratioProfit before interest and tax ÷ Interest on long-term debt
Trade receivables turnoverCredit revenue from operations ÷ Average trade receivables
Trade payables turnoverNet credit purchases ÷ Average trade payables
Inventory turnoverCost of revenue from operations ÷ Average inventory
Working capital turnoverRevenue from operations ÷ Working capital
Gross profit ratioGross profit ÷ Revenue from operations × 100
Net profit ratioProfit after tax ÷ Revenue from operations × 100
Operating ratio(Cost of revenue from operations + Operating expenses) ÷ Revenue from operations × 100
Operating profit ratioOperating profit ÷ Revenue from operations × 100
Earnings per share(Profit after tax − Preference dividend) ÷ Number of equity shares
Price-earnings ratioMarket price per equity share ÷ Earnings per share
Return on investmentProfit before interest and tax ÷ Capital employed × 100

Key terms

Capital employed

Long-term funds: shareholders' funds + non-current liabilities.

Working capital

Current assets minus current liabilities.

Cost of revenue from operations

Cost of the goods sold: revenue from operations less gross profit.

3. Liquidity ratios

Current ratio = current assets ÷ current liabilities. Conventional level 2 : 1. Below 1 : 1, current liabilities exceed current assets and dues may not be met; a very high ratio suggests idle cash, excess stock or slow collection.

Quick (liquid or acid-test) ratio = quick assets ÷ current liabilities, where quick assets = current assets − inventories − prepaid expenses. Conventional level 1 : 1. It tests whether short-term dues can be paid without selling stock, which is why a banker often prefers it when much of the current assets is slow-moving inventory.

Watch the items: bills receivable belong to trade receivables; a bank overdraft is a short-term borrowing (current liability); debentures, long-term loans and long-term provisions are non-current.

Working for the liquidity ratios of Mohiniyattam Coir: current assets 10,00,000, quick assets 5,80,000, current liabilities 5,00,000; current ratio two to one, quick ratio one point one six to one
ItemWorkingResult
Current assets40,000 + 4,00,000 + 4,40,000 + 1,00,000 + 20,000₹10,00,000
Quick assets10,00,000 − 4,00,000 − 20,000₹5,80,000
Current ratio10,00,000 ÷ 5,00,000 = 2 : 12 : 1
Quick ratio5,80,000 ÷ 5,00,000 = 1.16 : 11.16 : 1
Current ratio = current assets ÷ current liabilities; conventional level 2 : 1.
Current assets (numerator)Current liabilities (denominator)
Current investmentsShort-term borrowings (bank overdraft, cash credit)
InventoriesTrade payables (creditors + bills payable)
Trade receivables (debtors + bills receivable)Other current liabilities (outstanding expenses, unpaid dividends)
Cash and cash equivalentsShort-term provisions (provision for tax)
Short-term loans and advances; prepaid expenses and other current assets
Quick ratio = quick assets ÷ current liabilities; conventional level 1 : 1.
Kept in quick assetsTaken out, and why
Cash and cash equivalentsInventories: must be sold first, and perhaps on credit
Trade receivablesPrepaid expenses: never come back as cash
Current investments
Short-term loans and advances

Key terms

Current ratio

Current assets ÷ current liabilities; a test of short-term solvency.

Quick assets

Current assets other than inventories and prepaid expenses.

Liquidity

Ability to meet obligations falling due within twelve months or the operating cycle.

4. Solvency ratios

Debt to equity ratio = debt ÷ equity (debt = long-term borrowings + long-term provisions; equity = shareholders' funds). Lower means a larger safety margin for lenders and a smaller fixed interest burden.

Proprietary ratio = shareholders' funds ÷ total assets. The share of the assets financed by owners; higher is safer for outsiders.

Debt to total assets ratio = debt ÷ total assets. The share of the assets financed by long-term debt; lower is safer.

Interest coverage ratio = profit before interest and tax ÷ interest on long-term debt (times). How many times the interest is earned; a high figure means interest will be paid even if profit falls. Work back to profit before interest and tax: profit after tax → add tax → add interest.

Working for the solvency ratios of Mohiniyattam Coir: debt 7,20,000, equity 18,00,000, total assets 30,20,000; debt to equity zero point four to one, debt to total assets zero point two four to one, proprietary zero point six to one, interest coverage nine point three three times
ItemWorkingResult
Debt6,00,000 + 1,20,000₹7,20,000
Equity (shareholders' funds)13,50,000 + 4,50,000₹18,00,000
Debt to equity7,20,000 ÷ 18,00,000 = 0.4 : 10.4 : 1
Debt to total assets7,20,000 ÷ 30,20,000 ≈ 0.24 : 10.24 : 1
Proprietary18,00,000 ÷ 30,20,000 ≈ 0.6 : 10.6 : 1
Interest coverage5,60,000 ÷ 60,000 ≈ 9.33 times (profit before interest and tax over interest on debentures)9.33 times
Debt = long-term borrowings + long-term provisions; equity = shareholders' funds.
RatioFormulaA higher figure means…
Debt to equityDebt ÷ Equity (shareholders' funds)more reliance on borrowed long-term funds: riskier for lenders
ProprietaryShareholders' funds ÷ Total assetsowners finance more of the assets: safer for outsiders
Debt to total assetsDebt ÷ Total assetsmore of the assets financed by long-term debt: riskier
Interest coverageProfit before interest and tax ÷ Interest on long-term debtinterest is easier to pay out of profit

Key terms

Debt

Long-term borrowings plus long-term provisions.

Proprietary ratio

Shareholders' funds as a proportion of total assets.

Interest coverage

Times the interest on long-term debt is covered by profit before interest and tax.

5. Effects of transactions on the current, quick and debt-equity ratios

Method. For each transaction (taken separately): (1) write the change in the numerator and the denominator; (2) recompute the ratio; (3) compare with the original and state increase, decrease or no change.

Rules that follow from the arithmetic (see the table):

  • an equal rise in both parts lowers a ratio above 1; an equal fall raises it (the opposite for a ratio below 1);
  • a change in one part only moves the ratio in that direction;
  • a swap inside one part changes nothing (collecting a debtor: current ratio unchanged).

Typical cases. Buying inventory for cash: current ratio unchanged, quick ratio falls. Buying inventory on credit: both fall (when above 1). Issuing shares for cash: liquidity ratios rise, debt-equity falls. Redeeming debentures in cash: debt-equity falls. Bonus shares from reserves: debt-equity unchanged. Paying a dividend: debt-equity rises.

Not in the ISC 2027 syllabus: effect-of-transaction problems on ratios other than the current, quick and debt-equity ratios.

Each transaction is taken separately from the starting figures.
TransactionCurrent ratio (from 2 : 1)Quick ratio (from 1.16 : 1)
(i) Pays trade payables ₹1,00,0009,00,000 ÷ 4,00,000 = 2.25 : 1: Increases4,80,000 ÷ 4,00,000 = 1.2 : 1: Increases
(ii) Buys coir yarn for ₹50,000 in cash10,00,000 ÷ 5,00,000 = 2 : 1: No change5,30,000 ÷ 5,00,000 = 1.06 : 1: Decreases
(iii) Buys coir yarn on credit for ₹1,00,00011,00,000 ÷ 6,00,000 ≈ 1.83 : 1: Decreases5,80,000 ÷ 6,00,000 ≈ 0.97 : 1: Decreases
(iv) Sells mats costing ₹40,000 for ₹50,000 in cash10,10,000 ÷ 5,00,000 = 2.02 : 1: Increases6,30,000 ÷ 5,00,000 = 1.26 : 1: Increases
(v) Raises a long-term loan of ₹2,00,00012,00,000 ÷ 5,00,000 = 2.4 : 1: Increases7,80,000 ÷ 5,00,000 = 1.56 : 1: Increases
Rules follow from the arithmetic; always recompute to confirm.
What the transaction doesRatio above 1Ratio below 1
Raises both parts by the same amountFallsRises
Lowers both parts by the same amountRisesFalls
Raises only the numerator, or lowers only the denominatorRisesRises
Lowers only the numerator, or raises only the denominatorFallsFalls
Swaps one item for another inside the same partNo changeNo change
Starting point: 7,20,000 ÷ 18,00,000 = 0.4 : 1.
TransactionChange in debtChange in equityNew ratioEffect
(i) Issues equity shares for ₹2,00,000 in cashNo change+2,00,0007,20,000 ÷ 20,00,000 = 0.36 : 1Decreases
(ii) Raises a long-term loan of ₹1,80,000+1,80,000No change9,00,000 ÷ 18,00,000 = 0.5 : 1Increases
(iii) Redeems debentures of ₹1,20,000 in cash−1,20,000No change6,00,000 ÷ 18,00,000 ≈ 0.33 : 1Decreases
(iv) Issues bonus shares of ₹3,00,000 from the general reserveNo changeNo change7,20,000 ÷ 18,00,000 = 0.4 : 1No change
(v) Pays a dividend of ₹1,50,000No change−1,50,0007,20,000 ÷ 16,50,000 ≈ 0.44 : 1Increases

Key terms

Numerator

The figure on top of a ratio, such as current assets in the current ratio.

Denominator

The figure below, such as current liabilities in the current ratio.

Bonus issue

Capitalising reserves into shares: equity as a whole does not change.

6. Activity (turnover) ratios

  • Trade receivables turnover = credit revenue from operations ÷ average trade receivables (debtors + bills receivable). Higher means faster collection.
  • Trade payables turnover = net credit purchases ÷ average trade payables (creditors + bills payable). Lower means the firm takes longer to pay; a sudden fall may signal a cash strain.
  • Inventory turnover = cost of revenue from operations ÷ average inventory. Higher means faster-moving stock; very high may mean too little stock.
  • Working capital turnover = revenue from operations ÷ working capital.

Finding cost of revenue: opening inventory + net purchases + direct expenses (wages, carriage inwards) − closing inventory; or revenue − gross profit. If gross profit is a percentage on cost, cost = revenue × 100 ÷ (100 + rate). Revenue from operations is net of sales returns; purchases are net of purchases returns.

Credit revenue ₹42,00,000; credit purchases ₹30,00,000.
RatioWorkingResult
Inventory turnover37,50,000 ÷ 3,75,000 = 10 times10 times
Trade receivables turnover42,00,000 ÷ 4,00,000 = 10.5 times (average of 3,60,000 and 4,40,000)10.5 times
Trade payables turnover30,00,000 ÷ 2,50,000 = 12 times (average of 2,00,000 and 3,00,000)12 times
All in times. Average = (opening + closing) ÷ 2.
Turnover ratioFlow of the year (numerator)Resource (denominator)
Trade receivablesCredit revenue from operationsAverage trade receivables (debtors + bills receivable)
Trade payablesNet credit purchasesAverage trade payables (creditors + bills payable)
InventoryCost of revenue from operationsAverage inventory
Working capitalRevenue from operationsWorking capital (current assets − current liabilities)
Working of the cost of revenue from operations of Mohiniyattam Coir: opening inventory plus purchases plus direct expenses less closing inventory gives 37,50,000, which is also revenue less gross profit; average inventory 3,75,000
Mohiniyattam Coir, year ended 31 March 2026₹
Opening inventory3,50,000
Add: Purchases36,00,000
Add: Direct expenses (wages, carriage inwards)2,00,000
Less: Closing inventory(4,00,000)
Cost of revenue from operations37,50,000
Check: revenue − gross profit50,00,000 − 12,50,000 = 37,50,000
Average inventory(3,50,000 + 4,00,000) ÷ 2 = 3,75,000
Working capital turnover of Mohiniyattam Coir: working capital 5,00,000, revenue 50,00,000, turnover ten times
Mohiniyattam CoirWorkingResult
Working capital10,00,000 − 5,00,000₹5,00,000
Working capital turnover50,00,000 ÷ 5,00,000 = 10 times10 times
ReadingEach rupee of working capital supports ten rupees of revenueCompare with last year and with similar firms

Key terms

Inventory turnover

Times the average inventory is sold and replaced in a year.

Trade receivables turnover

Times the average receivables are collected in a year.

Working capital turnover

Revenue from operations generated per rupee of working capital.

7. Profitability ratios, earnings per share and return on investment

  • Gross profit ratio = gross profit ÷ revenue from operations × 100.
  • Net profit ratio = profit after tax ÷ revenue from operations × 100.
  • Operating ratio = (cost of revenue from operations + operating expenses) ÷ revenue from operations × 100.
  • Operating profit ratio = operating profit ÷ revenue from operations × 100 = 100 − operating ratio.
  • Earnings per share = (profit after tax − preference dividend) ÷ number of equity shares. Number of shares = equity share capital ÷ face value.
  • Price-earnings ratio = market price per equity share ÷ earnings per share (times).
  • Return on investment = profit before interest and tax ÷ capital employed × 100.

Operating ratios ignore non-operating items (interest or dividend received, profit or loss on sale of assets, loss by fire) and finance costs; the net profit ratio includes them. Return on investment uses profit before interest because capital employed includes the lenders’ money; compare it with the rate of interest the company pays.

Working for the profitability ratios of Mohiniyattam Coir: gross profit twenty-five per cent, operating ratio eighty-nine per cent, operating profit ratio eleven per cent, net profit ratio seven point five per cent
RatioWorkingResult
Gross profit ratio12,50,000 ÷ 50,00,000 × 100 = 25%25%
Operating ratio(37,50,000 + 7,00,000) ÷ 50,00,000 × 100 = 89%89%
Operating profit ratio5,50,000 ÷ 50,00,000 × 100 = 11%11%
Net profit ratio (after tax)3,75,000 ÷ 50,00,000 × 100 = 7.5%7.5%
Interest received and the loss on sale of furniture are non-operating.
Particulars₹
Revenue from operations50,00,000
Less: Cost of revenue from operations(37,50,000)
Gross profit12,50,000
Less: Employee benefits expense(3,00,000)
Less: Depreciation and amortisation(1,50,000)
Less: Other operating expenses(2,50,000)
Operating profit5,50,000
Add: Interest on non-current investments20,000
Less: Loss on sale of furniture(10,000)
Profit before interest and tax5,60,000
Less: Interest on long-term debt(60,000)
Profit before tax5,00,000
Less: Tax at 25%(1,25,000)
Profit after tax3,75,000
Segment widths are computed from the operating statement.
Table of the steps for earnings per share and the price-earnings ratio: profit after tax, less preference dividend, divided by the number of equity shares, then market price divided by earnings per share
StepRule
Profit after tax From the Statement of Profit and Loss (after interest and tax)
Less: preference dividend Rate × preference share capital, for the year
Earnings for equity shareholders Step 1 − step 2
Number of equity shares Equity share capital ÷ face value of one share
Earnings per share Step 3 ÷ step 4, in rupees
Price-earnings ratio Market price per equity share ÷ earnings per share, in times
Working for the earnings per share and price-earnings ratio of Mohiniyattam Coir: earnings for equity shareholders 3,60,000 over 1,20,000 shares gives three rupees; a market price of thirty-six rupees gives a price-earnings ratio of twelve times
Mohiniyattam CoirWorkingResult
Profit after taxFrom the operating statement₹3,75,000
Less: preference dividend10% of 1,50,000₹15,000
Earnings for equity shareholders3,75,000 − 15,000₹3,60,000
Number of equity shares12,00,000 ÷ ₹101,20,000
Earnings per share3,60,000 ÷ 1,20,000 = ₹3.00₹3.00
Price-earnings ratio₹36 ÷ ₹3.00 = 12 times12 times
The routes must agree; if they do not, an item has been misplaced.
RouteWorkingCapital employed
Liabilities sideShareholders' funds 18,00,000 + non-current liabilities 7,20,000₹25,20,000
Assets sideNon-current assets 20,20,000 + working capital 5,00,000₹25,20,000
Total assets routeTotal assets 30,20,000 − current liabilities 5,00,000₹25,20,000
Working for the return on investment of Mohiniyattam Coir: profit before interest and tax 5,60,000 on capital employed 25,20,000 gives twenty-two point two two per cent, well above the ten per cent it pays on its debentures
Mohiniyattam CoirWorkingResult
Profit before interest and taxProfit before tax 5,00,000 + debenture interest 60,000₹5,60,000
Capital employedShareholders' funds + non-current liabilities₹25,20,000
Return on investment5,60,000 ÷ 25,20,000 × 100 ≈ 22.22%22.22%
Compared withInterest rate on its debentures10%

Key terms

Operating profit

Gross profit minus operating expenses.

Earnings per share

Profit for equity shareholders divided by the number of equity shares.

Price-earnings ratio

Market price per share as a multiple of earnings per share.

8. Finding missing figures and reading ratios together

Missing figures. Turn each given ratio into a statement about one unknown and solve in a chain:

  • working capital and the current ratio give current liabilities (working capital ÷ (current ratio − 1)) and current assets;
  • the quick ratio gives quick assets, and the gap to current assets gives inventories (after prepaid expenses);
  • inventory turnover × average inventory gives cost of revenue; a gross profit rate then gives revenue;
  • a net profit ratio gives profit after tax; less preference dividend, ÷ shares, gives earnings per share; × price-earnings ratio gives the market price.

Always finish by recomputing every given ratio from your answers.

Reading ratios together. Compare each ratio with a benchmark, last year and similar firms, and read the groups together (for example, receivables turnover against payables turnover; return on investment against the interest rate).

Steps for worked example four: working capital of 4,00,000 is twice the current liabilities, so current liabilities are 2,00,000, current assets 6,00,000, quick assets 3,60,000 and inventories 2,20,000
StepWorkingResult
Working capital is (3 − 1) times the current liabilities4,00,000 ÷ 2Current liabilities ₹2,00,000
Current assets3 × 2,00,000₹6,00,000
Quick assets1.8 × 2,00,000₹3,60,000
Inventories = current assets − quick assets − prepaid expenses6,00,000 − 3,60,000 − 20,000₹2,20,000
Check6,00,000 ÷ 2,00,000 = 3 : 1; 3,60,000 ÷ 2,00,000 = 1.8 : 1Both given ratios recovered
Steps for worked example nine: a market price of forty-five rupees and a price-earnings ratio of fifteen give earnings per share of three rupees, earnings of 6,00,000, profit after tax of 6,40,000 and revenue of 80,00,000
StepWorkingResult
Earnings per share = market price ÷ price-earnings ratio₹45 ÷ 15₹3.00
Earnings for equity shareholders₹3 × 2,00,000₹6,00,000
Profit after tax = earnings + preference dividend6,00,000 + 40,000₹6,40,000
Revenue from operations = profit after tax ÷ net profit ratio6,40,000 × 100 ÷ 8₹80,00,000
Check₹45 ÷ ₹3.00 = 15 times; 6,40,000 ÷ 80,00,000 × 100 = 8%Both given ratios recovered
A ratio means something only against a benchmark, a past year or similar firms.
RatioMohiniyattamCompared withReading
Current ratio2 : 12 : 1 (convention)Comfortable short-term position
Quick ratio1.16 : 11 : 1 (convention)Can pay current dues without selling stock
Debt to equity0.4 : 1Lower is safer for lendersModest long-term borrowing
Interest coverage9.33 timesThe higher the saferInterest comfortably covered
Trade receivables turnover10.5 timesTrade payables turnover 12 timesPays suppliers a little faster than customers pay it
Return on investment22.22%Debenture interest 10%Long-term funds earn more than they cost

Key terms

Chain method

Solving missing figures step by step, each answer feeding the next.

Inter-firm comparison

Setting a firm’s ratios beside those of similar firms.

Exam tips

Common mistakes

  • Using revenue instead of cost of revenue from operations in inventory turnover, or closing instead of average inventory.
  • Leaving bills receivable / bills payable out of trade receivables and payables, or using total instead of credit figures.
  • Putting current liabilities into debt, or forgetting long-term provisions.
  • Forgetting prepaid expenses when working out quick assets.
  • Including non-operating items or interest in the operating ratio.
  • Using profit after tax in return on investment or interest coverage (both need profit before interest and tax).
  • In earnings per share, ignoring the preference dividend or dividing by rupees of capital instead of the number of equity shares.
  • Guessing the effect of a transaction instead of recomputing the ratio.
  • Writing the answer in the wrong form (25 instead of 25%, 2 instead of 2 : 1) or not rounding to two decimal places.

How marks are usually split (Ratio Analysis carries 8 marks in Section B)

  • 1 mark: one ratio, one formula or one effect in an objective item.
  • 2 marks: a pair of ratios, or two transaction effects (1 mark each).
  • 3 marks: three ratios (about 1 mark each, formula and working counted), or a short missing-figure chain.
  • 5 marks: a question in parts, for example bases and ratios 2 + ratios and comment 3.
  • 8 marks: a full problem of six to eight ratios from the statements, or a long missing-figure chain.

Figures in SOYL practice are imagined; your board paper will give its own.