Training for the cycle race

Training for the cycle race

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This task is about number patterns and rules.
Ruia is training for a long-distance cycle race.

Question 1Change answer

 
Ruia cycles 10 km the first day, and increases this by 5 km each day after. 
 
a)  Complete the table to show how far she cycles on the second, third, and fourth days of training.
Day 1 2 3 4
Km cycled 10
 
b)  Write a rule in words to describe how far she cycles on any given day.
     
 
c)  How many kilometres does she cycle on the tenth day?  km
 
d)  Which of these expressions describes how many kilometres she would cycle on the n-th day? 15n50n0 + n5 + 5n0 + 5n
Task administration: 
  •  
Level:
4
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
number patterns, algebraic expressions
Description of task: 
Given a rule, students complete a table and answer questions about cycling distances for a cycling fitness programme, describe the rule for the pattern, and identify an expression for the rule.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Patterns and relationships, sets 5-6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (06/1996)

Y9 (06/1996)
a) 15, 20, 25. very easy very easy
b) For any 1 of:

  • Take one less than the number of days, multiply it by 5 and add 10,
  • Multiply the number of days by 5 and add 5,
  • Add 5 each day.
 moderate moderate
c) 55 difficult difficult
d) D (5 + 5n) moderate moderate