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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 15 points

1.On the number line shown, the marks are equally spaced. What number does the arrow point to?[3]
Text description of the figure
A number line with equally spaced tick marks. The leftmost tick is labelled 0 and the rightmost is labelled 60, with five unlabelled ticks evenly spaced between them. An arrow points to the fourth tick from the left.
- A4
- B24
- C30
- D40
- E50
2.In a triangle, one angle is 90 degrees and another is 35 degrees. What is the third angle?[3]
- A35 degrees
- B45 degrees
- C55 degrees
- D65 degrees
- E145 degrees
3.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
4.Three notebooks cost 240 cents each. You pay with a 10 euro note. How many cents change do you get? One euro is 100 cents.[3]
- A240
- B280
- C520
- D720
- E760
5.Two towns are 300 km apart. A car leaves each town at the same moment driving toward the other, one at 60 km/h and the other at 90 km/h. How long until they meet?[3]
- A2 hours
- B3 hours 20 minutes
- C4 hours
- D5 hours
- E1 hour

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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 — 30KA-0006Number lines and betweenness
- AI counted the tick marks and gave the position number instead of reading the value on the scale.
- BI worked out that each gap is worth 10 but then counted only as far as the tick before the arrow.
- DI counted the tick marks rather than the gaps between them, so every gap came out one step too small.
- EI counted the gaps from the right-hand end instead of from zero.
2.C — 55 degreesKA-0022Angles on lines, in triangles, in polygons
- AI assumed the triangle was isosceles because it had a right angle, so I repeated the 35.
- BI assumed a right-angled triangle always has two 45 degree angles.
- DI subtracted 35 from 100 instead of from 90, mixing the angle sum up with a round number.
- EI subtracted only the 35 from 180 and forgot to take off the right angle as well.
3.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.
4.B — 280KA-0114Money and change
- AI subtracted the cost of one notebook rather than all three.
- CI bought two notebooks instead of three.
- DI gave the total cost of the notebooks instead of the change.
- EI converted the 10 euro note to 1000 cents but subtracted the price of only one notebook after doubling it.
5.A — 2 hoursKA-0162Rate, time, distance
- BI used only the slower car's speed and divided 300 by 90 the wrong way round.
- CI averaged the two speeds to 75 km/h and divided 300 by it, which ignores that both cars move at once.
- DI divided 300 by 60, using only the slower car.
- EI halved the distance to 150 and then divided by 150, applying the closing speed twice.

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