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1. Today is Tuesday. What day of the week will it be in 100 days?[3]
A MondayB TuesdayC WednesdayD ThursdayE Friday2. A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?[3]
3. One bus leaves every 12 minutes and another every 18 minutes. They leave together at 9:00. When do they next leave together?[3]
A 9:06B 9:30C 9:36D 9:54E 12:364. A tap drips about 3 times a minute. Roughly how many drips is that in one day?[3]
5. Three quarters of a class of 28 travelled by bus. How many did not travel by bus?[3]
6. Which of these fractions lies between one third and one half?[3]
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1. D — Thursday KA-0021 Remainders and modular cycles
A I found the remainder 2 but counted the two days starting from today rather than starting from tomorrow.B I divided 100 by 7 and used the quotient of 14, treating the leftover days as if there were none.C I remembered there was a remainder but used a remainder of 1 instead of working it out.E I counted 100 divided by 7 as 14 remainder 3 instead of remainder 2.2. E — 60 KA-0026 Percentages and simple discounts
A I worked out the size of the discount and gave that as the new price instead of subtracting it.B I treated a quarter off as half off and took the price down to 40.C I applied the 25% reduction twice, taking 80 down to 60 and then 60 down to 45.D I subtracted 25 euros rather than 25 percent, treating the percentage as an amount of money.3. C — 9:36 KA-0041 Factors, multiples, LCM and GCD by listing
A I found the greatest common divisor of 12 and 18 instead of the least common multiple.B I added the two intervals together rather than looking for a time that is a multiple of both.D I found a common multiple but not the least one, landing on a later coincidence.E I multiplied the two intervals together instead of finding their least common multiple.4. D — 4320 KA-0059 Estimation and order of magnitude
A I worked out the drips in an hour and stopped there.B I multiplied by the 24 hours but forgot the 60 minutes in each one.C I used 6 hours in a day, thinking of waking hours rather than a whole day.E I used 600 minutes in an hour rather than 60.5. B — 7 KA-0064 Fractions of a quantity
A I divided 28 by 7 instead of taking a quarter of it.C I found three quarters of 16 by mistake, mixing up the class size.D I found how many did travel by bus and gave that instead of how many did not.E I subtracted the 4 quarters as if they were 4 students.6. C — 2/5 KA-0141 Number lines and betweenness
A I compared the bottom numbers and assumed a bigger denominator means a bigger fraction.B I saw that 4 lies between 3 and 2 and assumed one quarter therefore lies between the two fractions.D I checked that it is bigger than one third but never checked it against one half.E I compared the top numbers only and ignored what the bottoms do to the size.