Data & Graphs

Problem

Read totals and differences from a graph

Two picture graphs show how many questions each student answered correctly. Liam's team total is 2 more than Mia's team total. Jordan's column on Mia's team is blank; I need to find how many questions Jordan got right.
Liam's team: questions answered correctly per student 5 4 3 2 1 correct Liam Noah Owen Jacob Mia's team: questions answered correctly per student 5 4 3 2 1 correct Sophia Ethan Jordan Emma
Measurement & data
Your answer
questions
How to solve
Strategy Identify Subproblems — This breaks into clear subproblems: add Liam's team total, subtract 2 to get Mia's team total, then subtract the three known Mia-team students to leave Jordan. Reading each circle count straight off the graph supports every step.
1STEP 1

Total for Liam's team

Add the four students' correct answers: 2 + 4 + 5 + 3 = 14.

2 + 4 + 5 + 3 = 14
2STEP 2

Total for Mia's team

Liam's team is 2 more than Mia's team, so Mia's team total is 14 - 2 = 12.

14 - 2 = 12
3STEP 3

Find Jordan's count

Mia's team total minus the three known students leaves Jordan: 12 - 4 - 2 - 3 = 3.

12 - 4 - 2 - 3 = 3
Answer
3 questions
12 - 4 - 2 - 3 = 3
Check the totals: Mia's team would be 4 + 2 + 3 + 3 = 12, and Liam's team is 14, which is 2 more — exactly matching the condition. Jordan's 3 is a sensible count, between 1 and 5 like the others.
Takeaway

This only needs Grade 2 graph-reading and add/subtract — find the totals, then fill the missing part!

  • Total for Liam's team
  • Total for Mia's team
  • Find Jordan's count
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