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2022 Math Kangaroo

Problem 8

Problem 8 · 2022 Math Kangaroo Medium
Spatial & Visual Reasoning careful-counting

Sonja’s smartphone displays the diagram on the right. It shows how long she has worked with four different apps in the previous week. This week she has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures could be the diagram for the current week?

Figure for Math Kangaroo 2022 Problem 8
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Answer: C
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Hint 1 of 2
Two of the four bars must be exactly halved; the other two stay the same.
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Hint 2 of 2
Find the choice where two bars match the original lengths and two are cut in half.
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Approach: match a chart with two halved bars and two unchanged
  1. The new week keeps two bars at their original length and halves the other two.
  2. Check each option against the reference chart for exactly this combination.
  3. Only option C shows two unchanged bars and two halved bars.
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