This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Okay, Sizwe, thanks for sending the picture! Now we have the full context for Questions 1 and 2.
Let's start with Question 1, which refers to the house in the picture.
Step 1: Identify the windows and their divisions. The house has four windows, each divided into 4 panes. • The top-left window is red. • The top-right window is purple. • The bottom-left window is orange. • The bottom-right window is green.
Step 2: Interpret the colouring instructions for each window. a) Colour one quarter of the red window. This means 1 out of the 4 panes of the red window should be coloured. Fraction to colour:
b) Colour two quarters of the purple window. This means 2 out of the 4 panes of the purple window should be coloured. Fraction to colour:
c) Colour three quarters of the orange window. This means 3 out of the 4 panes of the orange window should be coloured. Fraction to colour:
d) Colour the green window. Since no specific fraction is given, and the instruction is simply "Green", it implies colouring the entire green window. Fraction to colour:
Now, let's address Question 2, which refers to the train. My previous answer for Question 2 stated it couldn't be answered without this picture, but now we have it!
Step 3: Count the passenger carriages on the train. a) How many passenger carriages does the train have? Counting the carriages behind the engine: there is one yellow, one orange, and one red carriage. The train has passenger carriages.
Step 4: Determine the fraction for each coloured carriage. b) What fraction is yellow? Orange? Red? There are 3 passenger carriages in total. Yellow: Orange: Red:
Step 5: Examine the train wheels. c) The wheels are divided into ____ parts. Write one part as a fraction. Each wheel on the train is divided into 6 parts (spokes). The wheels are divided into parts. One part as a fraction:
Step 6: Examine the windows on each passenger carriage. d) Each passenger carriage has ____ windows. Write one window as a fraction. Each of the yellow, orange, and red passenger carriages has 6 windows. Each passenger carriage has windows. One window as a fraction:
Step 7: Interpret the colouring instructions for the carriage windows. e) Colour in two sixths of the yellow carriage windows, four sixths of the orange carriage windows, five sixths of the red carriage windows. This is an instruction to colour the specified fractions of windows. Yellow carriage: Colour of the windows. Orange carriage: Colour of the windows. Red carriage: Colour of the windows.
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Okay, Sizwe, thanks for sending the picture! Now we have the full context for Questions 1 and 2.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.