OPM1501 Assignment 3 2024 (839387) - DUE 8 July 2024

OPM1501 Assignment 3
2024 (839387) - DUE 8
July 2024
QUESTIONS WITH COMPLETE ANSWERS




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, OPM1501 Assignment 3 2024 (839387) - DUE 8 July 2024

Question 1

1.1. Complete the following function machines so that the inputs give the correct outputs:

a) 32 224 (3)

b) 1080 − 960 (3)

c) 525 25 (3)

d) 510 270 (3) (12)

1.2. If you were asked to complete the following number line by filling in the missing
numbers, explain why it would not be possible to do so: 19 31 42 (4)

1.3. Provide two ways you can use to teach the students how to generate the rule for each of
the following:

a) 32 224 (3)  ….. − …..  …. .. ….  …..

b) 1080 − 960 (3)

c) 525 25 (3)

d) 510 270 (3) (12)

1.4. Fill out the table below to show how many matches you would need for each diagram
number: (5)

a) Write the rule for this pattern. (2) b) What formula could you use for this pattern? (2)

c) How many matchsticks would diagram number 37 have? (3) (12) [40]

1.1. Function Machines

For each pair of inputs and outputs, we need to determine the function that transforms the input
to the output.

a) 32 → 224 We need to find a function f(x)f(x)f(x) such that f(32)=224f(32) = 224f(32)=224.