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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 15 points

1.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
2.A floor measuring 6 by 4 units is covered exactly with tiles measuring 2 by 1, with no gaps and no overlaps. How many tiles are needed?[3]
- A8
- B10
- C12
- D24
- E48
3.Three angles of a quadrilateral are 80, 95 and 110 degrees. What is the fourth angle?[3]
- A65
- B75
- C85
- D95
- E105
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.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

Math Kangaroo Star · https://kangaroo-atlas.vercel.app · seed 1 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.

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 — 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.
2.C — 12KA-0086Tiling and tessellation
- AI divided the floor area by 3 instead of by the tile area of 2.
- BI laid tiles along the edges only and never filled the middle.
- DI gave the area of the floor rather than the number of tiles that cover it.
- EI multiplied the floor area by the tile area instead of dividing.
3.B — 75KA-0088Angles on lines, in triangles, in polygons
- AI added the three angles wrongly, getting 295 instead of 285.
- CI used an angle sum of 370, mis-remembering the total for a quadrilateral.
- DI repeated one of the given angles instead of computing the missing one.
- EI used the triangle's 180 degrees and then adjusted, rather than the quadrilateral's 360.
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.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.

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