Matchstick problems are among the most exciting topics for developing spatial reasoning.
Usually, there are two types of actions you can perform on problems with matchsticks:
1. Remove the matchstick
2. Move the matchstick
In the first case, your goal is to achieve a structure by completely removing a certain number of matchsticks. In the second case, you should move a specific number of matchsticks to achieve the correct structure.
Ensure that after you move or remove matchsticks, there are no dangling matchsticks.
Twenty-four matchsticks are laid out as shown in the figure. How many squares are there? Complete the following tasks:
a) remove 4 matchsticks so that 5 equal squares are formed;
b) remove 6 matchsticks so that 5 equal squares are formed;
c) move 12 matchsticks so that 2 equal squares are formed;
d) remove 8 matchsticks so that 4 equal squares are formed;
e) remove 8 matchsticks so that 3 squares are formed;
f) remove 8 matchsticks so that 2 squares are formed.
Remove 6 matchsticks to get 4 squares.
Remove 5 matchsticks to get 3 squares.
Remove 3 matchsticks to get 3 squares.
Remove 2 matchsticks to get 4 squares.
Remove 2 matchsticks to get 4 squares.
Place 12 matches to make four small squares and one large one.
Move 3 matchsticks to get 3 squares.
Move 3 matches to reverse the direction of the arrow.
Move 2 matchsticks to get 3 squares.
Make 5 identical triangles and 1 pentagon from 5 matches.
Is it possible to move exactly one matchstick to make a square?
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Our goal at this course is to enhance our students’ mathematical intuition by focusing on a deep understanding of mathematical concepts and to enable them to link different concepts and apply their knowledge to solve mathematical problems to help them to improve their performance at Maths exams.
This course guides you through the fundamentals of Python programming using an interactive Python library known as Turtle.
This course encompasses a range of Geometry topics such as coordinate and spatial geometry, introductory trigonometry, angles, parallel lines, congruent and similar triangles, polygons, circles, the Pythagorean Theorem, and more. Emphasis will be placed on reinforcing Algebra skills and enhancing critical thinking through problem-solving in both mathematical and real-world contexts.