INVESTIGATION – CRITERION B (INVESTIGATING PATTERNS)
TAKE-HOME SECTION: It is highly recommended that you complete the take-home section in
preparation for the in-class section of the final investigation for Year 10.
You will not be allowed to take in any notes or this sheet into the in-class section.
If you require assistance, please speak to your teacher.
IN-CLASS SECTION: Will be completed in class, without any notes. You will be allowed calculators,
pens, pencil and rulers
TAKE-HOME SECTION – PRACTICE QUESTIONS
1. Write a definition of what ‘consecutive numbers’ means in Mathematics.
2. List some example of consecutive numbers
3. Define the terms – integer, whole number, counting number
4. The number three can be written as the sum of two consecutive numbers
3=1+2
Explore each of the following (for each one you can only use positive integers, that is whole
numbers (1, 2, 3, etc))
(a) Can the number four be written as the sum of two consecutive numbers?
(b) Can the number six be written as the sum of three consecutive numbers?
5. If the first of two consecutive numbers was written as ‘n’, how would you write the second
one?