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Grade 6 Math · Unit 5
Factors, multiples, and number structure
Use this low-stakes check after studying the unit. It has 8 fresh questions and one written reasoning prompt. No timer, grade, or gate blocks your next lesson.
Choose the best answer
Work without the lesson open if you can. After you check, read each explanation and return to the linked lesson when you want another example.
Explain your reasoning · Greatest common factor
A club has 24 red badges and 36 blue badges. It wants to make the greatest possible number of identical packs with no badges left over. How many packs can it make, and what goes in each pack?
Open a sample approach and scoring guide
One possible approach: 12 packs, with 2 red and 3 blue badges in each pack. The greatest common factor of 24 and 36 is 12.
2-point guide: 1 point for identifying the GCF as 12; 1 point for 12 packs with 2 red and 3 blue badges each.
Try the problem before opening the example. A tutor or teacher can use the guide to discuss your representation and reasoning.
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