Olympiad Test Level 1: Patterns - Class 5 MCQ

To find the next term in the sequence:

• Start with the first term: 3.
• Add 5 to get the second term: 3 + 5 = 8.
• Add 5 again to get the third term: 8 + 5 = 13.
• Continue this pattern: 13 + 5 = 18.
• Finally, add 5 to the last term: 18 + 5 = 23.

The next term in the sequence is 23.

The pattern decreases by 4 each time. Starting from 27, the sequence is as follows:

• 27 - 4 = 23
• 23 - 4 = 19
• 19 - 4 = 15
• 15 - 4 = 11

Thus, the next term is 11.

Let's analyze the pattern step-by-step:

• The first figure contains 1 triangle.
• The second figure contains 3 triangles (1 + 2 more).
• The third figure contains 5 triangles (3 + 2 more).

We can observe the number of triangles follows an odd number sequence: 1, 3, 5, ...

Following this pattern, the next figure should have 7 triangles.

Among the options, option B shows a figure with 7 triangles arranged consistently with the previous pattern.

Therefore, the correct answer is option B.

Given the matrix:

And the corresponding products given below each column:

Step 1: Calculate the product of the elements in each column (top two rows) and compare it with the product given.

• First column: 3 × 4 × 4 = 48 (matches the given product)
• Second column: 4 × 5 × 3 = 60 (matches the given product)
• Third column: 5 × 3 × ? = 105 (we need to find ?)

Step 2: Let the unknown number be x. Then:

5 × 3 × x = 105

Step 3: Solve for x:

15 × x = 105

x = 105 ÷ 15 = 7

Answer: The missing number is 7.

Therefore, the correct option is C.

The sequence decreases by 4 each time. Starting from 25, the calculations are as follows:

• 25 - 4 = 21
• 21 - 4 = 17
• 17 - 4 = 13
• 13 - 4 = 9

Thus, the next term is 9.

C → D

No alphabet missing

D → F

1 alphabet missing

F → I 2 alphabets missing

I → M

3 alphabets missing

M → R

4 alphabets missing

The given number pattern is increasing by 5 each time. Below is the breakdown of the pattern:

• 6 + 5 = 11
• 11 + 5 = 16
• 16 + 5 = 21
• 21 + 5 = 26
• 26 + 5 = 31

Therefore, the next term in the pattern is 31.

Rectangle always follows the cylinder.

Or

Rectangle is always next to the cylinder.

(a), (b), (c) are related to triangles and (d) are related to circles.

Triangle within Square, Square within Triangle. Rectangle within Circle, Circle within Rectangle.

The pattern adds an incrementing integer starting from 1:

• 3 + 1 = 4
• 4 + 2 = 6
• 6 + 3 = 9
• 9 + 4 = 13
• 13 + 5 = 18

The pattern decreases by 4 each time:

• 22 – 4 = 18
• 18 – 4 = 14
• 14 – 4 = 10
• 10 – 4 = 6
• 6 – 4 = 2

The sequence increases by 3 each time:

• 7 + 3 = 10
• 10 + 3 = 13
• 13 + 3 = 16
• 16 + 3 = 19
• 19 + 3 = 22

Therefore, the next term is 22.

The pattern decreases by 2 each time, starting from 15. Here’s how it progresses:

• 15 - 2 = 13
• 13 - 2 = 11
• 11 - 2 = 9
• 9 - 2 = 7
• 7 - 2 = 5

Thus, the next term is 5.

To solve the problem, we can observe the patterns in the equations:

• The first equation is 7 + 5 = 12.
• The second equation is 9 + 3 = 12.
• The third equation is 10 + 2 = 12.
• The fourth equation is 8 + 4 = 12.

Each pair of numbers adds up to 12. Therefore, we need to find a pair that also sums to 12 to identify the missing number.

The last alphabet of each previous term becomes the first alphabet of the next term:

• AB ends with B, so the next term starts with B (BC).
• BC ends with C, so the next term starts with C (CD).
• CD ends with D, so the next term starts with D (DE).
• DE ends with E, so the next term starts with E.

Following this pattern, the next term should start with E and end with F. Therefore, the correct answer is EF.

The pattern is as follows:

The pattern alternates between multiplying by 2 and adding 2: 3 × 2 = 6, 6 + 2 = 8, 8 × 2 = 16, 16 + 2 = 18.

Therefore, the next term in the sequence is 18
So the correct option is A) 18.

The correct mirror image is as shown below: