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1. 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 degrees2. A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?[3]
3. A rope is 3.5 metres long. A second rope is 240 centimetres long. How much longer is the first rope, in centimetres?[3]
4. What is the angle between the hands of a clock at exactly 3 o'clock?[3]
Text description of the figure A clock face with the hour hand pointing at 3 and the minute hand pointing at 12, with the angle between them marked.
A 30 degreesB 45 degreesC 90 degreesD 120 degreesE 180 degrees5. Eight people meet and everyone shakes hands with everyone else exactly once. How many handshakes take place?[3]
6. A solid block is built from unit cubes and measures 4 by 3 by 2. How many unit cubes does it contain?[3]
Text description of the figure A rectangular block built from unit cubes, 4 cubes long, 3 cubes deep and 2 cubes tall, drawn so that both layers are visible.
7. 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 12:368. Three quarters of a class of 28 travelled by bus. How many did not travel by bus?[3]
9. Three angles of a quadrilateral are 80, 95 and 110 degrees. What is the fourth angle?[3]
10. Which of these is closest to the number of seconds in one day?[3]
A 1440B 3600C 24000D 60000E 8640011. Which of these fractions lies between one third and one half?[3]
12. Which capital letter, printed plainly, has both a horizontal and a vertical line of symmetry?[3]
13. Three more than twice a number is 19. What is the number?[3]
14. 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)15. Suppose it is true that some birds cannot fly. Which of these must also be true?[3]
A No birds can flyB All birds can flyC Most birds cannot flyD Exactly one bird cannot flyE Not all birds can flyKangaroo Atlas · https://kangaroo-atlas.vercel.app · seed 1 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
1. 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.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 — 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.4. C — 90 degrees KA-0032 Clock geometry: hands, angles, times
A I gave the angle for one hour mark instead of the three hour marks between the hands.B I divided the right angle in half, as if a quarter of the clock were 45 degrees.D I used a third of the clock face rather than a quarter of it.E I read 3 o'clock as the hands pointing in opposite directions.5. B — 28 KA-0035 Handshakes and pairs
A I doubled the number of people, as if each person made two handshakes in total.C I let each person shake hands with all eight people including themselves before halving.D I multiplied 8 by 7 and forgot that each handshake was counted from both sides.E I multiplied 8 by 8, counting every ordered pair including a person with themselves.6. E — 24 KA-0038 Building and counting with unit cubes
A I added the three measurements together instead of multiplying them.B I counted one layer of 4 by 3 and forgot that the block is two layers tall.C I read the block as 3 by 3 by 2 because the drawing hid the far column.D I counted only the cubes whose faces I could actually see in the picture.7. 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.8. 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.9. 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 360.10. 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.11. 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.12. C — H KA-0142 Line and rotational symmetry
A I found the vertical fold and assumed a horizontal one must work too.B I found the horizontal fold and stopped without testing the vertical one.D I counted the vertical fold twice rather than testing a horizontal one.E I mistook turning the letter upside down for folding it, which is rotation rather than symmetry about a line.13. A — 8 KA-0144 Translating a sentence into an equation
B I subtracted 8 from 19 rather than working the two steps backwards.C I subtracted the 3 from 19 and gave that without halving it.D I added the 3 to 19 instead of subtracting it.E I doubled 19 and added 3, applying the machine forwards instead of undoing it.14. 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.15. E — Not all birds can fly KA-0146 Reading a logical statement precisely
A I read some cannot as meaning none can, which is a far stronger claim.B I chose a statement that directly contradicts the one I was given.C I read some as meaning a majority, when it only guarantees at least one.D I read some as meaning exactly one, when it means at least one.