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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 20 points

1.One minute is left. Three questions have no answer written and you cannot do any of them. Nothing is taken off for a wrong answer. What should you do?[3]
- ALeave them blank, because guessing is not really doing the maths
- BWrite an answer for every one of them
- CAnswer only the one you nearly understand
- DLeave them blank so it is clear you ran out of time
- EWrite your working instead of an answer
2.A jacket costs 80 pounds. In January the price rises by 20 percent. In February the new price falls by 20 percent. What is the price at the end of February?[3]
- A80 pounds
- B76.80 pounds
- C64 pounds
- D83.20 pounds
- E96 pounds
3.Two circles touch on the outside. One has a radius of 3 cm and the other a radius of 5 cm. How many centimetres apart are their centres?[4]
- A2
- B4
- C8
- D15
- E16
4.A square sheet is folded in half top to bottom, then in half left to right. One hole is punched through all the layers. How many holes are in the unfolded sheet?[5]
Text description of the figure
Three steps in a row: a square sheet, the same sheet folded in half top to bottom into a wide rectangle, and that rectangle folded in half left to right into a small square with a single punched hole near its centre.
- A1
- B2
- C4
- D6
- E8
5.You reach the ten 5-point questions with 18 minutes left. What is the best plan?[5]
- AStart at the first and work through in order until time runs out
- BRead all ten quickly, pick the two or three that look most doable, and fill in every answer before the end
- CSpend the whole time on the last question, since it is the hardest
- DAnswer the ones with the shortest statements
- EDivide the time evenly, about 1.8 minutes each

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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.B — Write an answer for every one of themKA-0127Never leave a blank — there is no penalty
- AI treated guessing as dishonest, but the rules of the paper explicitly allow it and cost nothing.
- CI answered one and left two blanks that could each have scored, at no risk.
- DI tried to communicate with the marker, but only the answers are scored.
- EI offered working on a paper where only the chosen letter is marked.
2.B — 76.80 poundsKA-0153Percentages and simple discounts
- AI assumed a 20 percent rise and a 20 percent fall must cancel because the percentages match.
- CI applied only the fall and forgot the rise.
- DI got the size of the change right but the direction wrong.
- EI applied only the rise and forgot the fall.
3.C — 8KA-0147Circles: radius, diameter, and touching circles
- AI subtracted the radii, which is the answer when one circle sits inside the other.
- BI averaged the two radii instead of adding them.
- DI multiplied the radii together rather than adding them.
- EI added the two diameters instead of the two radii.
4.C — 4KA-0020Paper folding and hole punching
- AI forgot that the punch goes through every layer at once, not just the top one.
- BI undid only one of the two folds before counting the holes.
- DI doubled for the first fold and then added two more rather than doubling a second time.
- EI counted a fold that was never made, doubling three times instead of twice.
5.B — Read all ten quickly, pick the two or three that look most doable, and fill in every answer before the endKA-0130Managing the 5-point block
- AI worked in order, so a hard early question could eat the time meant for easier later ones.
- CI assumed the hardest question is worth the most, but every question in this block scores the same.
- DI used length as a proxy for difficulty, which is not reliable in this block.
- EI spread the time equally, which is too little for the questions I could do and wasted on the ones I could not.

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