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

3 on the sheet, 3 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: ____________3 questions · 12 points

1.The four-digit number 27_4 is divisible by 3. Which digit could go in the gap?[4]
- A1
- B2
- C3
- D4
- E6
2.The two digits of a number are swapped and the number gets bigger by 36. Which of these could be the number?[4]
- A13
- B15
- C24
- D41
- E62
3.Which of these numbers can be divided exactly by both 4 and 9?[4]
- A96
- B117
- C132
- D144
- E153

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.B — 2KA-0011Divisibility rules: 2, 3, 4, 5, 9, 10
- AI added the known digits to get 13 and then checked whether the missing digit itself was a multiple of 3.
- CI chose 3 because the question mentioned dividing by 3, without testing the digit sum at all.
- DI tested the last two digits, which is the rule for 4, not the rule for 3.
- EI added the digits but left out the 4 at the end, so my sum was four too small.
2.B — 15KA-0056Place value and digit positions
- AI checked that the digits differ and stopped, without working out how much the swap actually changes the number.
- CI saw a difference of 2 between the digits and expected that to give a change of 36.
- DI ignored the direction: swapping this number makes it smaller, not bigger.
- EI picked a number whose digits differ by 4 without noticing that the larger digit is already in front.
3.D — 144KA-0063Divisibility rules: 2, 3, 4, 5, 9, 10
- AI checked that it divides by 4 and stopped without testing the 9.
- BI checked the digit sum for 9 and stopped without testing the 4.
- CI saw an even number with a digit sum of 6 and treated 6 as good enough for 9.
- EI tested 9 with the digit sum and assumed any odd multiple of 9 also divides by 4.

Loading…