K-12 Categories

NRICH: Fruity Totals

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

In the interactivity, each fruit has a value between 1 and 15 inclusive.
The sum of the values of the fruit in each row and column is shown.
Can you work out the value of each individual fruit?

Once you have had a go, you might like to try a harder level. There are five levels to choose from, and you can access them through the Settings menu by clicking on the purple ‘cog’ in the top right-hand corner. Don’t worry if you get stuck on one of the higher levels; you can always click on a question mark to reveal the hidden total.

We would love to hear about the strategies you use to solve each grid.  You could send us a screen shot, or copy the code that appears in the Settings menu, along with an explanation of how you deduced the values.

You may like to explore Different Deductions (for younger students) or What’s it Worth? (for older students).
This activity featured in an NRICH student webinar in November 2021.

You may also be interested in the other problems in our Is there a better way? Feature.

Age 7 to 16


Math Topics
Algebra & Pre-Algebra, Equations
K-6, Middle School, High School, Educator
2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade

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Organization

NRICH (University of Cambridge)

Website URL

Type of Resource

Challenge
Online Interactive Activity

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