Cricket with no ticket


The purpose of this activity is to engage students in applying their number knowledge and strategies to solve a problem.

Achievement Objectives
NA2-1: Use simple additive strategies with whole numbers and fractions.
NA2-3: Know the basic addition and subtraction facts.
NA2-4: Know how many ones, tens, and hundreds are in whole numbers to at least 1000.
NA2-6: Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols.
Description of Mathematics

In readiness for this problem, the students should have familiarity with each of the following components of mathematics. The problem may be solved with different combinations of these components.

  • basic addition subtraction facts
  • strategies for adding whole numbers
  • strategies for subtracting whole numbers
  • knowledge of whole number place values up to thousands

This activity may be carried out with guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students’ skills and depth of understanding.



During a cricket match, the commentator announced the there were 7542 people at the grounds.

Only 7281 tickets had been sold.

How many people (players, officials and workers) were at the match without a ticket? Show your working.


The procedural approach (show more)

  • The student is able to a complex subtraction by breaking the problem into a set of simpler steps.

The conceptual approach (show more)

  • The student is able to use their addition and subtraction knowledge and strategies devise a method of solution for a complex subtraction.

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