Flowers, books and sheep

Flowers, books and sheep

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out fractions of whole numbers.

a)  Hemi's parents grow flowers. This week they have a total of 440 different flowers.
     i)  If \(3 \over 4\) of the 440 flowers are daffodils, how many daffodils are there? __________ 
 
     ii)  If \(1 \over 20\) of the 440 flowers are carnations, how many carnations are there? __________
 

b)  The librarian wanted all of the 560 books returned to the library for stocktaking.
     When the books were counted \(1 \over 8\) of the books had not been returned.
 
     What number of books had been returned? __________

c)  A shearer could shear 400 sheep in a day.

     If he shears at the same rate for 4\(3 \over 4\) days, how many sheep does he shear? ________

Task administration: 
This task is completed with pencil and paper or online.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
fractions, fractions as operators
Description of task: 
Students calculate different fractions of given whole numbers.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or multiplicative strategies flexibly to find fractions of sets, shapes, and quantities.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (11/1996)

Y9 (11/1996)
a) i) 330 moderate easy
  ii) 22 moderate easy
b)   490 difficult -
c)   [(400 × 4) + (3⁄4 × 400)]
= 400 × 43⁄4 = 1600 + 300
= 1900		 - moderate
Diagnostic and formative information: 
   Student response Likely reason
a) i) 110 1⁄4 of 440 calculated, instead of 3⁄4.