What number?

What number?

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about using clues to work out a number.

Question 1Change answer

a) Malachi
Speech bubble saying: I'm thinking of a number between 30 and 50, when divided by 6 and 7, has no remainder. What is the number?
              

Question 1Change answer

b) Tori
Speech bubble saying: I'm thinking of a number between 30 and 50, when divided by 6 and 7, has no remainder. What is the number?
              

Question 1Change answer

c) Sam
Speech bubble saying: I’m thinking of a number between 100 and 130, when divided by 3, 5, and 8, has a remainder of 2. What is the number?
              
Task administration: 
This task is completed with pencil and paper or online with auto-marking displaed to students.
Copyright: 
People: iStock
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
division, remainders, problem solving
Description of task: 
Students find a missing number using clues about what remainder there is when the number is divided by given numbers.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or multiplicative strategies flexibly to whole numbers, ratios and equivalent fractions (including decimals and percentages) to solve division problems.
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: 
 

Y7 (04/1997)

Y8 (04/1997)
a) 42 difficult moderate
b) 73 very difficult difficult
c) 122 very difficult very difficult
Diagnostic and formative information: 
   Common error Likely reason
a)
b)
c)		 40
70
120		 Guessing a number in the middle of the range.