Worksheet generator

Pick what you want, print the page. The answer key comes with it, on its own sheet, and it tells you the mistake behind every wrong choice — not just which letter is right.

Level

Point value

Strand

How many

Figures

5 on the sheet, 19 match these filtersReshuffle Start overseed 1

This exact URL always produces this exact sheet — bookmark it and the answer key will still match next term. Print with your browser; the controls and the site navigation are left off the page.

Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 15 points

1.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
2.Eight people meet and everyone shakes hands with everyone else exactly once. How many handshakes take place?[3]
- A16
- B28
- C36
- D56
- E64
3.A solid block is built from unit cubes and measures 4 by 3 by 2. How many unit cubes does it contain?[3]
Text description of the figure
A rectangular block built from unit cubes, 4 cubes long, 3 cubes deep and 2 cubes tall, drawn so that both layers are visible.
- A9
- B12
- C18
- D20
- E24
4.Which of these is closest to the number of seconds in one day?[3]
- A1440
- B3600
- C24000
- D60000
- E86400
5.Suppose it is true that some birds cannot fly. Which of these must also be true?[3]
- ANo birds can fly
- BAll birds can fly
- CMost birds cannot fly
- DExactly one bird cannot fly
- ENot all birds can fly

Kangaroo Atlas · 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 — 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.
2.B — 28KA-0035Handshakes and pairs
- AI doubled the number of people, as if each person made two handshakes in total.
- CI let each person shake hands with all eight people including themselves before halving.
- DI multiplied 8 by 7 and forgot that each handshake was counted from both sides.
- EI multiplied 8 by 8, counting every ordered pair including a person with themselves.
3.E — 24KA-0038Building and counting with unit cubes
- AI added the three measurements together instead of multiplying them.
- BI counted one layer of 4 by 3 and forgot that the block is two layers tall.
- CI read the block as 3 by 3 by 2 because the drawing hid the far column.
- DI counted only the cubes whose faces I could actually see in the picture.
4.E — 86400KA-0124Estimate to the nearest choice
- AI gave the number of minutes in a day instead of the number of seconds.
- BI gave the number of seconds in one hour rather than in a whole day.
- CI multiplied the 24 hours by a round thousand instead of converting properly.
- DI multiplied 60 by a round thousand, using one conversion and inventing the other.
5.E — Not all birds can flyKA-0146Reading a logical statement precisely
- AI read some cannot as meaning none can, which is a far stronger claim.
- BI chose a statement that directly contradicts the one I was given.
- CI read some as meaning a majority, when it only guarantees at least one.
- DI read some as meaning exactly one, when it means at least one.

Loading…