Open Questions

These open questions focus on measurement and algebra and are appropriate for students from Kindergarten to Grade 8.

Grades K–2

Open Question #1

You use 10 symbols to make a picture graph.
What might your picture graph look like? What might it be about?

Sample answer:
I made a picture graph about favourite stuffies. The choices were bear, bunny, and llama.

Open Question #2

One number has digits that add to 7. Another number has digits that add to 6.
What could the 2 numbers be? What is their sum? What is the sum of the digits of the sum?

Sample responses:
The 2 numbers could be 7 and 6. The sum is 13, and the sum of the digits is 4.
OR
The two numbers could be 43 and 33. 43 + 33 = 76, and the sum of the digits is 13.
OR
The two numbers could be 16 and 24. The sum of the numbers is 40, and the sum of the digits is 4.

Grades 3–5

Open Question #3

A game is almost fair but not quite. What could it be? Sample answer: Maybe you spin this spinner. Two players take turns spinning. Player 1 gets a point if they land on red or blue. Player 2 gets a point if they land on purple or yellow. The first person to get 10 points wins.

Open Question #4

One store sells three grapefruits for $1.29. Another store sells four grapefruits for $   .      . What might the price for four grapefruits be if it’s only a bit better than the price for three grapefruits? Sample answers: $1.64 Each of the three grapefruits costs 43¢, so a price that’s a bit better might be 41¢, and 4 × 41 = 164. OR $1.40 If three cost $1.29, then it’s about 40¢ each. So, I made the four grapefruits cost 35¢ each, so it would be $1.40 for four.

Grades 6–8

Open Question #5

A circle graph has five sections. One section is double the size of another. One section is triple the size of another.
What could the circle graph look like? What percent would each section represent?

Sample answer:

OR

Open Question #6

A whole number divided by a decimal is 4.8.
What could the numbers be?

Sample responses:
24 ÷ 5.0
OR
36 ÷ 7.5
OR
39 ÷ 8.125