Patterns & Reasoning

Problem

Solve graph values step by step from clues

A picture graph shows students by birth season: spring 6, summer 2, autumn 5, and winter blank. The number born in winter is 2 times the number born in summer. I need the total number of students surveyed.
Number of students by season of birth 1 2 3 4 5 6 Students Season Spring Summer Autumn Winter
Measurement & dataOperations
Your answer
students
How to solve
Strategy Identify Subproblems — Solve the knowable pieces in order: read summer, use the doubling rule to get winter, then add all four seasons for the total. Reading circle counts off the graph supports each step.
1STEP 1

Read summer

The summer column has 2 circles, so 2 students were born in summer.

2STEP 2

Find winter

Winter is 2 times summer: 2 × 2 = 4 students born in winter.

2 × 2 = 4
3STEP 3

Add up the total

Total = spring + summer + autumn + winter = 6 + 2 + 5 + 4 = 17 students.

6 + 2 + 5 + 4 = 17
Answer
17 students
6 + 2 + 5 + 4 = 17
All season counts are small whole numbers (6, 2, 5, 4) and their sum 17 is a believable class size; winter (4) is indeed double summer (2), matching the rule.
Takeaway

This only needs Grade 3 'double it' multiplying and adding the columns — solve the knowable parts first!

  • Read summer
  • Find winter
  • Add up the total
Where next?
Another one like thissuggested

▶ Practice — 10 problems