Class-V Mathematics worksheet focusing on pattern recognition with number sequences and visual patterns.

Let’s solve each part step by step.

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Question 1: Growth Interval

We need to find how much the numbers change between each step — whether they grow (increase) or reduce (decrease), and by how much.

(a) Sequence:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Check the difference between consecutive numbers:
4 - 2 = 2
6 - 4 = 2
8 - 6 = 2
... and so on. Every time, it increases by 2.

✔ So, these numbers grow by 2.

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(b) Sequence:
45, 40, 35, 30, 25, 20, 15, 10, 5

Check the difference:
40 - 45 = -5 → reduces by 5
35 - 40 = -5 → reduces by 5
... same for all.

✔ So, these numbers reduce by 5.

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(c) Sequence:
5, 10, 15, 20, 25, 30, 35, 40, 45

Difference:
10 - 5 = 5
15 - 10 = 5
... always +5.

✔ So, these numbers grow by 5.

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(d) Sequence:
27, 24, 21, 18, 15, 12, 9, 6, 3

Difference:
24 - 27 = -3 → reduces by 3
21 - 24 = -3 → reduces by 3
... same throughout.

✔ So, these numbers reduce by 3.

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Question 2: Complete the Pattern

This is about rotation patterns.

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(a) Smiley faces rotating:

First face: upright smiley
Second: rotated 90° clockwise → eyes on right, mouth curved left
Third: rotated another 90° → upside down
So next should be rotated another 90° → which would make it look like option (ii) — eyes on left, mouth curved right.

Wait — let’s check carefully:

Actually, looking at the sequence:

- First: normal smiley (mouth up)
- Second: turned sideways — mouth pointing left? Wait no — in second image, the “smile” is now vertical on the left side? Actually, better to think of it as rotation.

Let me reorient:

Imagine the first smiley is facing forward.

Second one: rotated 90° clockwise → so the top becomes right side → so the smile curve is now on the bottom-left? Hmm, maybe easier to count rotations.

Actually, from first to second: rotated 90° clockwise
From second to third: rotated another 90° clockwise → total 180° from start → upside down
Then fourth should be 270° from start → which is same as 90° counter-clockwise → that matches option (ii).

Yes — option (ii) shows the smiley rotated so that the mouth is curving to the right, and eyes are on the left — that’s 270° clockwise from original.

✔ So answer for (a) is (ii)

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(b) Arrow pattern:

First arrow: points left and right (horizontal double arrow)
Second: points up and down AND right → wait, actually looks like a T-shape with arrows: up, down, and right? No — let's see:

Actually, looking closely:

First figure: ←→ (left-right arrow)

Second figure: ↑↓→ ? No — it’s an arrow going up, down, and right? Actually, it’s more like a cross but missing left arm? Wait — perhaps it’s rotating.

Alternative approach: Look at direction of main arms.

Actually, this seems to be a rotation pattern too.

First: horizontal双向箭头 (left-right)

Second: vertical双向箭头 plus right arrow? Not quite.

Wait — maybe it’s simpler: each shape rotates 90° clockwise.

First: left-right arrow → after 90° CW → becomes up-down arrow? But second image has three directions?

Wait — look again:

Image 1: ↔ (left and right)

Image 2: ↕→ ? Actually, it’s an arrow pointing up, down, and right — like a “T” with arrows on all ends except left.

But then Image 3: ←↔↓ ? Left, right, and down.

Hmm — perhaps it’s not rotation, but adding/removing directions?

Another idea: Maybe it’s mirroring or flipping.

Wait — let’s list what we have:

Figure 1: Arrows left and right only → ↔

Figure 2: Arrows up, down, and right → ↑ ↓ →

Figure 3: Arrows left, right, and down → ← → ↓

That doesn’t seem consistent.

Alternative: Perhaps it’s a cycle of orientations.

Look at the options:

Option (i): ↑ ↓ → (same as figure 2?)

Option (ii): ← ↑ ↓ (arrows left, up, down)

Now, if we assume the pattern is rotating the entire figure 90° clockwise each time:

Start: ↔ (horizontal)

After 90° CW: should become ↕ (vertical) — but figure 2 is not just vertical — it has extra right arrow.

Wait — maybe I’m overcomplicating.

Let me try to see the transformation from Fig1 to Fig2 to Fig3.

Fig1: ↔

Fig2: Looks like someone took Fig1 and added an upward and downward arrow on the center? Or rotated and modified?

Actually, here’s a better way: notice that in Fig1, arrows point left/right.

In Fig2, arrows point up/down/right — so maybe the "main" axis changed from horizontal to vertical, and kept the right arrow?

Not clear.

Wait — another thought: perhaps it’s about symmetry or reflection.

Alternatively, think of it as the arrow set being rotated.

Let’s consider the positions:

Assume the center is fixed.

In Fig1: arms extend left and right.

In Fig2: arms extend up, down, and right — so compared to Fig1, it lost left, gained up and down? That doesn’t help.

Perhaps it’s a sequence where each step adds a new direction in clockwise order?

Start: left, right

Then add up? But Fig2 has up, down, right — so added up and down? Confusing.

Wait — let’s look at the answer choices.

We need to pick between (i) and (ii) for the fourth box.

If we assume the pattern is rotating 90° clockwise each time:

Fig1: ↔ → rotate 90° CW → should be ↕ (up-down) — but Fig2 is not that.

Unless... Fig2 is actually the result of rotating Fig1 90° CW and then reflecting or something.

I think I made a mistake earlier.

Let me describe the figures clearly:

Figure 1: Two-headed arrow: left and right → ↔

Figure 2: Three-headed arrow: up, down, and right → like a “T” standing on its head with arrowheads on all three ends? Actually, it’s more like a plus sign missing the left arm, with arrows on the other three.

Figure 3: Three-headed arrow: left, right, and down → like a “T” lying on its back, missing the top arm, arrows on left, right, bottom.

So:

Fig1: left, right

Fig2: up, down, right

Fig3: left, right, down

What’s common? Each has two opposite directions and one perpendicular.

From Fig1 to Fig2: replaced left with up and down? Not really.

Notice that in Fig2, the “extra” arrow is right; in Fig3, the “extra” arrow is down.

Perhaps the single unique direction is moving clockwise: right (in Fig2), then down (in Fig3), so next should be left? But Fig1 already had left and right.

Another idea: perhaps the pair of opposite arrows is rotating.

In Fig1: horizontal pair (left-right)

In Fig2: vertical pair (up-down) plus right

In Fig3: horizontal pair (left-right) plus down

So the pair alternates between horizontal and vertical, and the extra arrow moves: in Fig2 it’s right, in Fig3 it’s down — so next should be left? But then it would be vertical pair plus left — which is option (ii): ← ↑ ↓

Yes! That makes sense.

Pattern:

- Step 1: horizontal pair only (no extra)
- Step 2: vertical pair + right arrow
- Step 3: horizontal pair + down arrow
- Step 4: vertical pair + left arrow → which is option (ii)

Because after down, next clockwise is left.

Clockwise directions: right → down → left → up

So extra arrow: Fig2: right, Fig3: down, Fig4: left

And the pair: Fig2: vertical, Fig3: horizontal, Fig4: vertical

So Fig4 should be vertical pair (up-down) plus left arrow → that’s exactly option (ii)

✔ So answer for (b) is (ii)

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Final Answers:

1.
(a) 2
(b) 5
(c) 5
(d) 3

2.
(a) (ii)
(b) (ii)

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Final Answer:
1. (a) 2
(b) 5
(c) 5
(d) 3
2. (a) (ii)
(b) (ii)