Samacheer Kalvi Class 4 Maths Solutions Term 2 Chapter 3 Patterns Exercise 3.2

Fill In The Blanks

Question 1. 7, 13, 19, _____, _____, _____
Answer: 7, 13, 19, 25, 31, 37, 43. In this pattern, each number is 6 more than the one before it. We simply keep adding 6 to find the next numbers in the sequence. This type of pattern is called an arithmetic progression where the difference between consecutive terms is constant.
In simple words: The numbers go up by 6 each time. So we just add 6 to the last number to find the next one.

🎯 Exam Tip: When filling in number patterns, always find the 'rule' first (add, subtract, multiply, divide, or a combination) before extending the sequence.

Question 2. _____, _____
Answer: The pattern of arrows is: Up, Down, Left, Up. It's a sequence of directions that doesn't follow a simple rotation. The given answer continues this unique sequence to fill the blanks. This sequence represents a change in orientation, perhaps a flip then a turn, and then a return to an original orientation.

In simple words: The arrows follow this order: Up, Down, Left, Up. So the missing arrows are the Left arrow and the Up arrow.

🎯 Exam Tip: For arrow patterns, look for rotations (clockwise, counter-clockwise), flips (horizontal, vertical), or a specific sequence of directions.

Question 3. _____, _____
Answer: The green filled quarter of the square moves clockwise around the center of the square. It starts at the top-left, then moves to the top-right. Following this rule, the next two blanks will be the bottom-right and then the bottom-left quarters filled in green. This type of pattern involves a consistent rotational movement of an element.

In simple words: The green part inside the square spins around like clock hands. So, it will fill the bottom-right, then the bottom-left spot.

🎯 Exam Tip: When a part of a shape is changing, look for rotational movements (clockwise/counter-clockwise) or reflections.

Question 4. 5, 10, 15, 20, _____, _____, _____
Answer: 5, 10, 15, 20, 25, 30, 35. This is a pattern where each number is increased by 5 from the previous one. This is a very common type of arithmetic pattern, often seen when counting by a certain number.
In simple words: The numbers jump up by 5 each time. Just keep adding 5 to get the next numbers.

🎯 Exam Tip: Look for simple addition or subtraction patterns first, as they are very common in early grades.

Question 5. 12, 5, 11, 6, 10, 7, _____, _____, _____
Answer: 12, 5, 11, 6, 10, 7, 9, 8, 8. This is an alternating pattern with two different sequences working together. The first sequence (12, 11, 10, ...) decreases by 1 each time. The second sequence (5, 6, 7, ...) increases by 1 each time. When you combine them, the pattern continues.
In simple words: There are two patterns mixed together. One goes down by 1 (12, 11, 10, 9, 8), and the other goes up by 1 (5, 6, 7, 8).

🎯 Exam Tip: For complex number sequences, try to see if there are two interleaved patterns, like alternating additions, subtractions, or different operations.

Question 6. _____, _____
Answer: The green filled small triangle at the vertex of the red triangle rotates clockwise around the main triangle's vertices. It starts at the top, then moves to the bottom-right vertex. Following this rotation, the next two positions will be the bottom-left vertex and then back to the top vertex. This shows a clear rotational pattern of a feature on a geometric shape.

In simple words: The little green spot on the triangle moves around each corner in a circle. So, it will go to the bottom-left, then back to the top.

🎯 Exam Tip: For shapes with moving parts, pay close attention to the direction (clockwise or counter-clockwise) and the amount of movement in each step.

Question 7. _____, _____
Answer: In this pattern, the blue half of the circle rotates 90 degrees clockwise, and the red half rotates with it, always being opposite to the blue. It starts with blue at the top, then blue on the left. Following this, the next two circles will have blue at the bottom and then blue on the right. Each step shows a quarter-turn rotation.

In simple words: The blue part of the circle turns 90 degrees clockwise. So the next two will have blue on the bottom, then blue on the right.

🎯 Exam Tip: For patterns involving rotating colors or sections, identify the axis of rotation (if any) and the angle of rotation per step.

Question 8. _____, _____
Answer: The yellow quarter of the circle rotates clockwise by 90 degrees each time. It starts at the top-left, then moves to the top-right. Following this pattern, the next two steps will show the yellow quarter at the bottom-right and then the bottom-left. This is a common rotational visual pattern.

In simple words: The yellow part of the circle turns in a circle like a clock. So it will fill the bottom-right, then the bottom-left section.

🎯 Exam Tip: For quarter-circle patterns, identify the starting position and the direction of rotation (clockwise or counter-clockwise).

Question 9. _____, _____
Answer: The pattern shows an alternating sequence of a green upward-pointing triangle with other shapes. The sequence of shapes between the green triangles is Blue Pentagon, Red Square, then followed by a Green Pentagon and another Green Triangle. This pattern involves a green triangle always appearing, with a varied colored polygon in between.

In simple words: A green triangle comes, then a different shape. The different shapes are a blue pentagon, then a red square, then a green pentagon. After the green pentagon, another green triangle comes.

🎯 Exam Tip: For patterns with multiple changing elements (shape and color), identify which elements are repeating and which are changing in a sequence.

Question 10. _____, _____
Answer: This pattern involves a 2x2 grid of squares where three squares are green and one is white. The single white square rotates counter-clockwise through the positions. It starts at the bottom-right, then moves to the top-right. Following this, the next two blanks will show the white square at the top-left and then the bottom-left. This demonstrates a simple cyclic rotation.

In simple words: There is one white square in the grid, and it moves counter-clockwise. So, it will next be in the top-left, then the bottom-left spot.

🎯 Exam Tip: When parts of a grid are colored differently, focus on the moving element (either the colored part or the uncolored part) and its direction of movement.