Olympiad Test Level 1: Patterns- 2 - Class 1 MCQ

Solution:

Observe the given pattern carefully:

• The first row shows circles divided into parts:
• The 1st circle is divided into 2 halves horizontally.
• The 2nd circle is divided into 2 halves vertically.
• The 3rd circle is divided into 4 equal parts (both horizontally and vertically).
• The second row shows rectangles divided similarly:
• The 1st rectangle is divided into 2 halves horizontally.
• The 2nd rectangle is divided into 2 halves vertically.
• The 3rd shape should correspond to the 3rd circle's division, i.e., divided into 4 equal parts.

Therefore, the missing shape is a rectangle divided into 4 equal parts (2 rows and 2 columns), matching the pattern of increasing divisions from 2 parts to 4 parts.

Among the options, option C shows a rectangle divided into 4 equal parts.

Answer: Option C

To find the missing figure in the pattern, let's carefully observe the given sequence of figures:

• Each figure consists of a square divided into four smaller squares arranged in a 2x2 grid.
• Within each smaller square, there is a quarter circle or arc drawn.
• The arcs in each figure follow a specific rotation and position pattern as we move from left to right and top to bottom.

Step-by-step analysis:

1. Look at the first figure: the arcs are positioned in certain corners of the four smaller squares.
2. In the next figure, the arcs appear to have rotated 90 degrees clockwise within each smaller square.
3. This rotation continues consistently across the figures, meaning each subsequent figure’s arcs rotate 90 degrees clockwise compared to the previous one.
4. Following this rotation pattern, the missing figure should have arcs rotated 90 degrees clockwise from the figure immediately before it.

Checking the options:

• Option A: The arcs do not follow the expected rotation pattern.
• Option B: The arcs are rotated incorrectly and do not match the pattern progression.
• Option C: The arcs are rotated exactly 90 degrees clockwise compared to the previous figure, maintaining the pattern.
• Option D: The arcs do not align with the rotation sequence.

Therefore, the correct missing figure that fits the rotation pattern of the arcs is Option C.

Table of 3.

Pattern 1 = 5 beads
Pattern 2 = 10 beads
Pattern 3 = 15 beads
Pattern 4 = 20 beads
Pattern 5 = 25 beads

To find the missing number, observe the pattern in the three given figures:

• In each figure, the middle number is the sum of the top and bottom numbers.

Check this for the first two figures:

• Figure 1: 17 (top) + 18 (bottom) = 35 (middle)
• Figure 2: 47 (top) + 29 (bottom) = 76 (middle)

Apply the same pattern to the third figure:

• Let the missing top number be ?.
• According to the pattern, ? + 32 = 57
• So, ? = 57 - 32 = 25

Answer: 25 (Option C)

Solution:

In the given figure (X), a circle is divided into four equal quadrants. Two of these quadrants are shaded pink, and the other two are white. Each quadrant contains a small pattern in the corner near the center of the circle.

Observing the patterns in the three visible quadrants:

• The top-right quadrant has a small white quarter-circle shape in the corner.
• The bottom-right quadrant has a similar small quarter-circle shape, but it is rotated compared to the top-right quadrant.
• The top-left quadrant has the small quarter-circle shape rotated further.

From these observations, the pattern inside each quadrant rotates clockwise by 90° moving from one quadrant to the next.

The missing quadrant is the bottom-left one. Following the rotation pattern, the small quarter-circle shape should be rotated 270° clockwise from the top-right quadrant's position.

Among the options, Option B shows the small quarter-circle shape correctly rotated to match this pattern and shaded pink matching the bottom-left quadrant.

Hence, Option B correctly completes the pattern in Figure (X).

Answer: B

Solution:

Observe the given pattern carefully:

• There are three columns, each with three arrows.
• The first column has yellow arrows pointing upwards.
• The second column has green arrows pointing downwards.
• The third column has pink arrows pointing to the left and upwards in an "L" shape.

Looking at the third column:

• The top and middle arrows are pink and shaped like an "L" rotated to point upwards and left.
• The pattern suggests the third arrow in the third column should follow the same color (pink) and direction as the previous two in that column.

Among the options:

• Option A: Yellow arrow, pointing up (incorrect color and position).
• Option B: Pink arrow shaped like an "L" pointing up and left (matches the third column pattern).
• Option C and D: Green arrows pointing down (do not match the expected color or shape).

Therefore, the correct answer is Option B.

Put a flower in each blank.

Why: look down each column — every column must contain four different shapes.

• Column 3 already has diamond, oval, spade → the missing shape is the flower.

• Column 4 already has oval, diamond, heart → the missing shape is the flower.

So both blanks are the green flower.

Observe the sequence of hearts arranged in two rows:
- First row: Red, Blue, Green
- Second row: Purple, Red, Blue
-Third row: Green, ............

Next should be purple because the pattern is going like:
RED, BLUE, GREEN, PURPLE