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
NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
NA3-6: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.
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 use 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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Level Three