Arithmetic Reasoning

Word problems: on the paper test, 30 of them in 36 minutes. The arithmetic is simple; the reading decides the score. These are the topics in the order we teach them, each one with practice and flashcards.
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1Word problemsFind what is asked, let the units choose the operation, and dodge the in-between answer.6 min · 5 questions · 10 cards
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2Ratios and proportionsScale a ratio, set up direct and inverse proportions, and split a total in parts.5 min · 5 questions · 10 cards
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3Percent problemsOne equation for every percent question, plus discounts, tax and percent change.5 min · 5 questions · 11 cards
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4Simple interestI = P × r × t, interest or total, and months turned into years.5 min · 5 questions · 9 cards
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5Distance, rate and timed = r × t, two travelers at once, and why average speed is not the average.5 min · 5 questions · 9 cards
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6Shared workAdd rates, not times: workers together, pipes and drains, finishing a job.6 min · 5 questions · 9 cards
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7Averages and remaindersThe hidden sum, the score you need, weighted averages and remainders.5 min · 5 questions · 10 cards
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8Number sequencesRead the gaps, spot adding or multiplying, and find a far-away term.4 min · 5 questions · 10 cards
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9Charts, graphs and tablesTitle, units and scale first; biggest change; two-way tables; percent of total.5 min · 5 questions · 10 cards
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Done
10Mixture problemsTrack the pure part: solutions, water and price blends in one line of arithmetic.5 min · 5 questions · 9 cards
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Done
11Age problemsOne table, one column per equation, and the age gap that never changes.5 min · 5 questions · 9 cards