Dividing into smaller groups 0 Overview Connecting to the Curriculum Marking Student Responses Working with Students This task is about whether numbers can be divided into equal-sized groups. Question 1Change answer Which of the following 11 groups can be divided into smaller groups of equal size? Select "Yes" if it can be divided equally, or "No" if it cannot. 23 students YesNoYesNo 24 students YesNoYesNo 25 students YesNoYesNo 26 students YesNoYesNo 27 students YesNoYesNo 28 students YesNoYesNo 29 students YesNoYesNo 30 students YesNoYesNo 31 students YesNoYesNo 32 students YesNoYesNo 33 students YesNoYesNo Question 1Change answer A Polyfest group had 36 students in it. They needed to be divided into at least two smaller groups. Each group needed to be the same size. List all the possible group sizes that their Polyfest group could be divided into so there were the same number of students in each smaller group. A Polyfest group had 36 students in it. They needed to be divided into at least two smaller groups. Each group needed to be the same size. List all the possible group sizes that their Polyfest group could be divided into so there were the same number of students in each smaller group. Level: 4 Curriculum info: Maths, Number and Algebra, Number Strategies Keywords: factors, prime numbers, divisibility Description of task: Students identify prime numbers from a series of group sizes and list all the factors of 36. Answers/responses: Y9 (04/1999) a) i) ii) iii) iv) v) vi) vii) viii) ix) x) xi) No Yes Yes Yes Yes Yes No Yes No Yes Yes all correct – easy 9-10 correct – very easy b) 2, 3, 4, 6, 9, 12, 18 [NOTE: Accept if the numbers 1 or 36 are included in the list, but do not mark these.] all correct – difficult 5-6 correct – moderate 2-4 correct – easy Diagnostic and formative information: Common error a) i)-xi) Sees all odd numbers as prime and all even numbers as not prime. a) v), xi) Sees 27 and 33 as prime.
