Assignment 2


Numbers and patterns


1 Each term in the triangle diagram below grows as follows: The letters B and C stand for the number of blocks and circles. Therefore: B and C = term number × 3 + 3. a Check that the rule works for the first three terms.


(3)


b Make a flow diagram that shows the two steps in each calculation of the number of elements.


c Copy and complete the table below.


Term number 1 2 3 4 5 6 7 8 9 10 20 B and C


d How many blocks and circles are there in term number 18? (2) e Which term will need 78 blocks and circles?


(2)


2 a–c Write the rule. Repeat questions 1a to c for the diagram on the right


Term number B and C


(11) Term 1 Term 2 1 2 3 4 5 6 7 8 9 10 20


d How many blocks and circles are in term number 18? e Which term will need 88 blocks and circles?


3 a–c Write the rule. Repeat questions 1a to c for the diagram on the right


Term number B and C


(11) Term 1 Term 2 1 2 3 4 5 6 7 8 9 10 20


d How many blocks and circles are in term number 15? e Which term will need 110 blocks and circles?


298 Assignment 2: Numbers and patterns


(2) (2)


[45] Term 3


(2) (2)


Term 3 Term 1 Term 2 Term 3


(3) (5)


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