Cooking and preserving

Cooking and preserving

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This task is about multiplying with decimal numbers.

Question 1Change answer

a)  Paula is pickling onions. She uses 0.5 litres of vinegar to pickle each kilogram of onions. 
     If she has 7 litres of vinegar, how many kilograms of onions can she pickle?
      kilograms

Question 1Change answer

b)  Ashley Foods has 24 kilograms of vegetables to make into relish.
     If 2 kilograms of vegetables need 0.75 kilograms of sugar,
     how many kilograms of sugar will Ashley Foods need?
      kilograms

Question 1Change answer

c)  Sam needs 450 grams of vegetables to make 1.25 litres of soup.
     How many grams of vegetables does he need to make 0.6 litres of soup? 
      grams
Task administration: 
This task can be completed on paper or online and has auto marking displayed to students.
Level:
5
Description of task: 
Students use rates to solve word problems involving cooking and preserving.
Curriculum Links: 
This resource can help to identify students' understanding of multiplying decimal numbers.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y10 (09/1999)

a) 14 easy
b) 9 moderate
c) 216 very difficult
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
a) 7.5
3.5
7 + .5
7 × .5
Wrong arithmetic operator chosen 
(should be 7 ÷ 0.5).
b) 18
16
24 × .75
24 × .75 - 2
Wrong choices of arithmetic operators.
c) 225 (or close) 0.5 × 450 Estimates the answer is approximately half of 450 rather than calculating it.