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5 on the sheet, 14 match these filtersReshuffle Start overseed 1

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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 15 points

1.The L-shaped figure is made of unit squares. What is its perimeter?[3]
Text description of the figure
An L-shaped figure made of unit squares: a vertical column 3 squares tall and 1 square wide, with 2 extra squares attached along the bottom to the right, so the shape covers 5 unit squares in total.
- A5
- B10
- C12
- D14
- E16
2.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.
- A30 degrees
- B45 degrees
- C90 degrees
- D120 degrees
- E180 degrees
3.A rectangle has a perimeter of 20 cm. One of its sides is 6 cm. What is its area in square centimetres?[3]
- A14
- B24
- C40
- D60
- E96
4.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)
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 — 12KA-0013Perimeter and area of rectilinear shapes
- AI counted the unit squares that make up the shape, which is the area rather than the perimeter.
- BI walked around the outline but skipped the two short steps at the inner corner.
- DI added the perimeters of the two rectangles the shape is made of, counting the shared edge twice.
- EI counted the edges of all five unit squares, which counts every internal edge as well.
2.C — 90 degreesKA-0032Clock geometry: hands, angles, times
- AI gave the angle for one hour mark instead of the three hour marks between the hands.
- BI divided the right angle in half, as if a quarter of the clock were 45 degrees.
- DI used a third of the clock face rather than a quarter of it.
- EI read 3 o'clock as the hands pointing in opposite directions.
3.B — 24KA-0083Perimeter and area of rectilinear shapes
- AI subtracted 6 from 20 and gave that, which is neither a side nor an area.
- CI took the other side to be 20 minus 6 divided by 2, forgetting there are two sides of each length.
- DI multiplied the perimeter by half the known side instead of finding the missing side first.
- EI used 16 as the other side, taking 20 minus 6 plus 2 rather than working from the perimeter properly.
4.E — (7, 3)KA-0145Grid coordinates and lattice reasoning
- AI moved left instead of right, subtracting the 4 rather than adding it.
- BI moved left and up, reversing both directions.
- CI swapped the two coordinates round before moving.
- DI moved up instead of down, adding the 2 rather than subtracting 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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