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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. In a triangle, one angle is 90 degrees and another is 35 degrees. What is the third angle?[3]
A 35 degreesB 45 degreesC 55 degreesD 65 degreesE 145 degrees3. A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?[3]
4. A rope is 3.5 metres long. A second rope is 240 centimetres long. How much longer is the first rope, in centimetres?[3]
5. 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 12:366. Three quarters of a class of 28 travelled by bus. How many did not travel by bus?[3]
7. Three angles of a quadrilateral are 80, 95 and 110 degrees. What is the fourth angle?[3]
8. A bag of flour holds 2.5 kg. 1750 g are used. How many grams are left?[3]
9. Which of these is closest to the number of seconds in one day?[3]
A 1440B 3600C 24000D 60000E 8640010. A counter sits at the point (3, 5) on a grid. It moves 4 squares right and 2 squares down. Where is it now?[3]
A (1, 3)B (1, 7)C (5, 3)D (7, 7)E (7, 3)Kangaroo Atlas · https://kangaroo-atlas.vercel.app · seed 2 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
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. C — 55 degrees KA-0022 Angles on lines, in triangles, in polygons
A I assumed the triangle was isosceles because it had a right angle, so I repeated the 35.B I assumed a right-angled triangle always has two 45 degree angles.D I subtracted 35 from 100 instead of from 90, mixing the angle sum up with a round number.E I subtracted only the 35 from 180 and forgot to take off the right angle as well.3. 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.4. C — 110 KA-0029 Unit conversion
A I subtracted correctly in metres but then gave the answer in metres when centimetres were asked for.B I converted 3.5 metres to 35 centimetres instead of 350.D I subtracted without converting at all, taking 3.5 away from 240.E I added the two lengths instead of finding the difference between them.5. 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.6. 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.7. B — 75 KA-0088 Angles on lines, in triangles, in polygons
A I added the three angles wrongly, getting 295 instead of 285.C I used an angle sum of 370, mis-remembering the total for a quadrilateral.D I repeated one of the given angles instead of computing the missing one.E I used the triangle's 180 degrees and then adjusted, rather than the quadrilateral's 360.8. C — 750 KA-0113 Unit conversion
A I worked in kilograms and gave the answer in kilograms when grams were asked for.B I converted 2.5 kg to 250 g rather than 2500 g.D I subtracted 1750 from 3000, mis-converting 2.5 kg as three thousand grams.E I subtracted without converting at all, taking 2.5 away from 1750.9. E — 86400 KA-0124 Estimate to the nearest choice
A I gave the number of minutes in a day instead of the number of seconds.B I gave the number of seconds in one hour rather than in a whole day.C I multiplied the 24 hours by a round thousand instead of converting properly.D I multiplied 60 by a round thousand, using one conversion and inventing the other.10. E — (7, 3) KA-0145 Grid coordinates and lattice reasoning
A I moved left instead of right, subtracting the 4 rather than adding it.B I moved left and up, reversing both directions.C I swapped the two coordinates round before moving.D I moved up instead of down, adding the 2 rather than subtracting it.