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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 15 points

1.The chart shows how many pets four children own. How many more pets does Mia own than Leo?[3]
Text description of the figure
A bar chart with four bars labelled Ana, Leo, Mia and Sam. The vertical axis is marked in steps of 2 from 0 to 10. The bars reach 4, 2, 8 and 6 respectively.
- A2
- B3
- C6
- D8
- E10
2.A rope is 3.5 metres long. A second rope is 240 centimetres long. How much longer is the first rope, in centimetres?[3]
- A1.1
- B11
- C110
- D236.5
- E590
3.How many different two-digit numbers can be written using only the digits 1, 2 and 3, if a digit may be used twice?[3]
- A3
- B6
- C9
- D12
- E27
4.Three more than twice a number is 19. What is the number?[3]
- A8
- B11
- C16
- D22
- E41
5.In a triangle, one angle measures 30 degrees. Of the other two angles, one is exactly twice the other. What is the largest angle in the triangle?[3]
- A50 degrees
- B75 degrees
- C100 degrees
- D150 degrees
- E90 degrees

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Answer key — Math Kangaroo practice

Each wrong choice carries the thinking that produces it. When a student picks C, this is what they were doing.

1.C — 6KA-0015Reading tables, charts, and graphs
- AI read the vertical scale as going up in ones instead of in twos.
- BI counted the gridlines between the two bar tops instead of reading the values off the scale.
- DI gave Mia's total instead of the difference between Mia and Leo.
- EI added the two amounts together rather than subtracting to find how many more.
2.C — 110KA-0029Unit conversion
- AI subtracted correctly in metres but then gave the answer in metres when centimetres were asked for.
- BI converted 3.5 metres to 35 centimetres instead of 350.
- DI subtracted without converting at all, taking 3.5 away from 240.
- EI added the two lengths instead of finding the difference between them.
3.C — 9KA-0072Systematic listing
- AI counted only the numbers with two identical digits, like 11, 22 and 33.
- BI required the two digits to be different, even though repeats are allowed.
- DI allowed a fourth digit that was not in the list.
- EI counted three-digit numbers instead of two-digit ones.
4.A — 8KA-0144Translating a sentence into an equation
- BI subtracted 8 from 19 rather than working the two steps backwards.
- CI subtracted the 3 from 19 and gave that without halving it.
- DI added the 3 to 19 instead of subtracting it.
- EI doubled 19 and added 3, applying the machine forwards instead of undoing it.
5.C — 100 degreesKA-0152Angles on lines, in triangles, in polygons
- AI found the smaller of the two unknown angles and stopped before doubling it.
- BI split the remaining 150 degrees into two equal halves instead of a one-to-two split.
- DI split the remainder evenly into 75 and 75, then doubled one of them.
- EI assumed that the largest angle in a triangle like this must be a right angle.

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