Word problems
Money and shopping184 problems · 19 skills
Best buy within a budget 8Bulk discounts and tiered pricing 1🔒Coin combinations 6🔒Exchange rates with made-up units 6🔒Fares and per-mile costs 10🔒Fees and break-even counts 5🔒Hourly pay 18🔒Income and savings 3🔒Linear cost models 16🔒Money spent and left 17🔒Prices from two purchases 18🔒Purchases with several unknowns 16🔒Revenue from stock 6🔒Sales tax and tips 18🔒Simple purchases 5🔒Stamps and postage 4🔒Ticket sales and admissions 11🔒Unit cost of food and drink 8🔒Unit prices of pens and pencils 8🔒
Profit, loss and discounts60 problems · 7 skills
Cost price from profit or loss 6Markup and markdown 7🔒Original price before a discount 14🔒Profit after spoilage or drying 7🔒Profit and loss percentage 6🔒Reverse percentages 7🔒Successive discounts 13🔒
Interest and growth114 problems · 11 skills
Average growth rate 6Comparing investments 5🔒Compound growth and doubling time 15🔒Compound interest 2🔒Depreciation 7🔒Loans and repayments 10🔒Population growth 17🔒Saving towards a target 16🔒Simple interest 12🔒Simple interest: principal and rate 15🔒Splitting an investment 9🔒
Distance, speed and time244 problems · 17 skills
Average speed 17Boats in a current 17🔒Catching up and overtaking 18🔒Changing speed and arrival time 17🔒Chases measured in steps 8🔒Closest approach of two movers 15🔒Fuel consumption and distance 12🔒Laps on a circular track 16🔒Meeting points and shuttles 16🔒Milestones and distances 6🔒Ratios of speeds and times 18🔒Relative motion on roads 14🔒Runners on a track 10🔒Total distance walked 8🔒Trains: length, speed and intervals 18🔒Travel time and speed 16🔒Two travellers meeting 18🔒
Work and rates217 problems · 17 skills
Burning candles 9Combined output rates 11🔒Crew size for a deadline 18🔒Daily totals over several days 18🔒Efficiency and work 7🔒Finishing the remaining work 5🔒Grazing and growing supply 8🔒Mixed crews of men and women 12🔒Pipes and cisterns 18🔒Reading pages per day 11🔒Shared tasks 18🔒Sharing wages by work done 1🔒Splitting a job between machines 13🔒Supplies lasting a group 18🔒Work with breaks and leavers 14🔒Workers and days (inverse proportion) 18🔒Working together 18🔒
Mixtures and solutions80 problems · 6 skills
Alloys 9🔒Dilution 18🔒Drying and moisture 8🔒Mixing items of different prices 9🔒Mixing to a target strength 18🔒Repeated replacement 18🔒
Age problems90 problems · 7 skills
Age riddles 9🔒Ages across years 5🔒Ages from birth-year digits 9🔒Family age sums 17🔒Parent and child ages 16🔒Present ages from ratios 17🔒Present ages from two clues 17🔒
Tests and scores40 problems · 3 skills
Marks from right and wrong answers 17🔒Pass marks and grade cutoffs 7🔒Totals from percentages 16🔒
Everyday problems171 problems · 13 skills
Cutting ropes and boards 17🔒Exchanging and sharing items 17🔒Group sizes from fractions 17🔒Heads and legs 17🔒Packing into equal groups 18🔒Pages and stack thickness 7🔒Passengers and loads 6🔒Rows and formations 18🔒Sharing eggs 3🔒Sharing with remainders 17🔒Snail in a well 9🔒Temperature conversion 7🔒Working backwards 18🔒