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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all the diagrams represent equivalent fractions
Here are the solutions to the problems:
10. Omkring die ekwivalente breuke (Circle the equivalent fractions)
Step 1: Determine the fraction represented by each diagram. • The first square has 2 out of 4 parts shaded, representing . • The first rectangle has 2 out of 4 parts shaded, representing . • The circle has 1 out of 2 parts shaded, representing . • The second rectangle has 4 out of 8 parts shaded, representing .
Step 2: Simplify each fraction to its simplest form. • • • •
Step 3: Identify equivalent fractions. All four fractions simplify to . Therefore, all the diagrams represent equivalent fractions.
All four diagrams should be circled.
Voltooi die patrone (Complete the patterns):
a) Shape Pattern: The pattern is: Square, Triangle, Smiley Face, Square, Triangle, ... The repeating sequence is: Square, Triangle, Smiley Face.
The missing elements are: Smiley Face, Square, Triangle.
b) Arrow Pattern: The pattern is: Right arrow, Up arrow, Right arrow, Down arrow, Right arrow, ... The repeating sequence for the changing arrow is: Up, Down. The right arrow appears consistently between the changing arrows. So the full pattern is: Right, Up, Right, Down, Right, Up, Right, Down.
The missing elements are: Up arrow, Right arrow, Down arrow.
c) Number Pattern: The sequence starts with: 554, 559, ... Step 1: Find the difference between the given numbers. The pattern is to add 5 to the previous number.
Step 2: Complete the sequence by adding 5 to each subsequent number. • • • •
The completed sequence is: 554, 559, 564, 569, 574, 579.
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10. Omkring die ekwivalente breuke (Circle the equivalent fractions) Step 1: Determine the fraction represented by each diagram.
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.