CBSE Class 5 Mental Maths Patterns Worksheet - Free Printable

Let's solve each question step by step:

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Question 1:

Which of the following alphabets have mirror image same as the alphabet itself?
A, E, N, P, T, U

- A: Mirror image is the same.
- E: Mirror image is the same.
- N: Mirror image is not the same.
- P: Mirror image is not the same.
- T: Mirror image is the same.
- U: Mirror image is the same.

Answer: A, E, T, U

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Question 2:

Which digits from 1 to 9 have the mirror image same as the digit itself?

- 1: Mirror image is the same.
- 2: Mirror image is not the same.
- 3: Mirror image is not the same.
- 4: Mirror image is not the same.
- 5: Mirror image is not the same.
- 6: Mirror image is not the same.
- 7: Mirror image is not the same.
- 8: Mirror image is the same.
- 9: Mirror image is not the same.

Answer: 1, 8

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Question 3:

What will NOON read on half a turn?

- A half-turn means rotating the word 180 degrees.
- When "NOON" is rotated 180 degrees, it reads NOON (since it is symmetrical).

Answer: NOON

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Question 4:

What will the triangle look like after \( \frac{1}{4} \) a turn?

- A \( \frac{1}{4} \) turn means rotating the triangle 90 degrees clockwise or counterclockwise.
- The correct orientation depends on the direction of rotation. However, the options provided suggest a specific orientation.
- Option (a) shows the triangle rotated 90 degrees in one direction.
- Option (b) shows the triangle rotated 90 degrees in the opposite direction.

Answer: Either (a) or (b), depending on the direction of rotation.

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Question 5:

After how many \( \frac{1}{4} \) turns will the triangle look like the given shape?

- The given shape is a triangle rotated 180 degrees.
- Each \( \frac{1}{4} \) turn is 90 degrees.
- To achieve a 180-degree rotation, we need \( \frac{180}{90} = 2 \) turns.

Answer: 2

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Question 6:

After how many half turns shall we get the object in the same position as it was in the beginning?

- A half turn is 180 degrees.
- To return to the original position, we need a full 360-degree rotation.
- Since one half turn is 180 degrees, we need \( \frac{360}{180} = 2 \) half turns.

Answer: 2

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Question 7:

How many \( \frac{1}{6} \) turns will be needed to bring the object back to its initial position?

- A \( \frac{1}{6} \) turn is 60 degrees.
- To return to the original position, we need a full 360-degree rotation.
- Since one \( \frac{1}{6} \) turn is 60 degrees, we need \( \frac{360}{60} = 6 \) turns.

Answer: 6

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Question 8:

Complete the following series of geometrical patterns:

#### (i) ○ △ ○ △ ○ ____
- The pattern alternates between a circle and a triangle.
- The next shape should be a triangle.

Answer: △

#### (ii) □ ○ □ ○ □ ____
- The pattern alternates between a square and a circle.
- The next shape should be a circle.

Answer: ○

#### (iii) ○ △ △ ○ △ ____
- The pattern appears to be "circle, triangle, triangle, circle, triangle, ...".
- The next shape should be a triangle.

Answer: △

#### (iv) ⋆ ○ □ ⋆ ○ ____
- The pattern repeats every three shapes: star, circle, square.
- The next shape should be a square.

Answer: □

#### (v) △ ↑ △ ↓ △ ____
- The pattern alternates between a triangle and an arrow pointing up or down.
- The next shape should be an arrow pointing up.

Answer: ↑

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Question 9:

What will be the next figure in the following series?

#### (i) △ ▽ △ ▽ △ ____
- The pattern alternates between a solid triangle and a hollow triangle.
- The next shape should be a hollow triangle.

Answer: ▽

#### (ii) ⊕ ⊖ ⊕ ⊖ ____
- The pattern alternates between a circle with a plus sign and a circle with a minus sign.
- The next shape should be a circle with a plus sign.

Answer: ⊕

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Final Answers:

1. A, E, T, U
2. 1, 8
3. NOON
4. Either (a) or (b)
5. 2
6. 2
7. 6
8.
- (i) △
- (ii) ○
- (iii) △
- (iv) □
- (v) ↑
9.
- (i) ▽
- (ii) ⊕

Boxed Final Answer:
\[
\boxed{
1. \text{A, E, T, U}, \quad
2. \text{1, 8}, \quad
3. \text{NOON}, \quad
4. \text{Either (a) or (b)}, \quad
5. 2, \quad
6. 2, \quad
7. 6, \quad
8. \text{(i) } \triangle, \text{ (ii) } \circ, \text{ (iii) } \triangle, \text{ (iv) } \square, \text{ (v) } \uparrow, \quad
9. \text{(i) } \triangledown, \text{ (ii) } \oplus
}
\]