Class 5 Maths Can you see the Pattern Worksheet Set C - Free Printable

Let’s solve each question one by one with clear reasoning.

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Q1. (A) What comes next? (Choose the correct option):

Sequence: Triangle → Square → Pentagon → ?

We are seeing a progression in the number of sides:

- Triangle = 3 sides
- Square = 4 sides
- Pentagon = 5 sides

So the next shape should have 6 sides → Hexagon

Now look at the options:

(a) Diamond (rhombus) — 4 sides
(b) Hexagon — ✔ 6 sides
(c) House-shaped pentagon — 5 sides
(d) Irregular quadrilateral — 4 sides

✔ Correct Answer: (b)

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(B) ORANGE → RANG → ?

We are removing letters from “ORANGE” to get “RANG”.

Let’s see what letters are removed:

ORANGE → RANG

Original: O - R - A - N - G - E
Result: R - A - N - G

So we removed O and E — the first and last letters.

If we apply the same logic to “RANG”:

R - A - N - G → remove first and last → A - N

✔ So answer is AN

Options:
(a) NG
(b) ANG
(c) AN ← ✔
(d) RAN

✔ Correct Answer: (c) AN

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Q2. Complete the series: 32, 40, 48, 56, ___

This is an arithmetic sequence.

Check the difference:

40 - 32 = 8
48 - 40 = 8
56 - 48 = 8

So, add 8 to 56 → 64

✔ Answer: 64

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Q3. Fill in the blanks:

(a) 39 + ___ + 19 = 42 + 19 + ___

Let’s denote the blanks as X and Y:

39 + X + 19 = 42 + 19 + Y
→ 58 + X = 61 + Y
→ X - Y = 3

We need to find numbers that satisfy this. But since it’s likely expecting simple integers and possibly symmetry or equality, let’s try balancing both sides.

Notice: Left side has 39 and 19; right has 42 and 19.

So if we move 39 to 42, we need to add 3 on left or subtract 3 on right.

Try: Let X = 42, then left = 39 + 42 + 19 = 100
Right = 42 + 19 + Y → 61 + Y = 100 → Y = 39

So: 39 + 42 + 19 = 42 + 19 + 39

Both sides = 100 ✔

Alternatively, you can swap the outer numbers.

✔ So blanks are: 42 and 39

(b) 42 × ___ = 25 × ___

We need two numbers such that 42 × A = 25 × B

This implies: A/B = 25/42

So smallest integer solution is A=25, B=42

Check: 42 × 25 = 1050
25 × 42 = 1050 ✔

✔ So blanks are: 25 and 42

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Q4. Look at the pattern below and choose the correct answer:

Given:

(9 - 1) ÷ 8 = 1
(98 - 2) ÷ 8 = 12
(987 - 3) ÷ 8 = 123
(9876 - 4) ÷ 8 = ?
(98765 - 5) ÷ 8 = ?

Let’s compute step by step:

First: (9 - 1)/8 = 8/8 = 1 ✔
Second: (98 - 2)/8 = 96/8 = 12 ✔
Third: (987 - 3)/8 = 984/8 = 123 ✔
Fourth: (9876 - 4)/8 = 9872 / 8 = ?

Compute 9872 ÷ 8:

8 × 1234 = 9872 → so answer is 1234

Fifth: (98765 - 5)/8 = 98760 / 8 = ?

8 × 12345 = 98760 → so answer is 12345

So the pattern gives: 1234, 12345

Look at options:

(a) 1234, 123456 → too long
(b) 1234, 12345 ← ✔ matches
(c) 1235, 12356 → wrong digits
(d) 1244, 1245 → wrong

✔ Correct Answer: (b) 1234, 12345

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Q5. Complete the magic square using all numbers from 35 to 43 so that total of each line is 117.

We are given:

```
a b 40
37 39 c
d 43 e
```

Numbers available: 35, 36, 37, 38, 39, 40, 41, 42, 43

Used already: 37, 39, 40, 43 → remaining: 35, 36, 38, 41, 42

Each row, column, diagonal must sum to 117.

Let’s label positions:

Row1: a + b + 40 = 117 → a + b = 77
Row2: 37 + 39 + c = 117 → 76 + c = 117 → c = 41 ✔ (available)

Row3: d + 43 + e = 117 → d + e = 74

Col1: a + 37 + d = 117 → a + d = 80
Col2: b + 39 + 43 = 117 → b + 82 = 117 → b = 35 ✔ (available)

Now from Row1: a + b = 77 → a + 35 = 77 → a = 42 ✔

From Col1: a + d = 80 → 42 + d = 80 → d = 38 ✔

From Row3: d + e = 74 → 38 + e = 74 → e = 36 ✔

Now check remaining number: we used 35, 38, 41, 42, 36 → all assigned.

Check diagonals:

Main diagonal: a + 39 + e = 42 + 39 + 36 = 117 ✔
Other diagonal: 40 + 39 + d = 40 + 39 + 38 = 117 ✔

All rows/columns/diagonals = 117 ✔

Final grid:

```
42 35 40
37 39 41
38 43 36
```

✔ So the values are:

a=42, b=35, c=41, d=38, e=36

But the question says “complete the magic square”, and doesn’t ask for specific variables — but since it’s multiple choice? Wait — actually, no options are given for Q5, so we just fill it.

But perhaps the question expects us to list the missing numbers? Since it’s not multiple choice, we’ve solved it fully.

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## ✔ Final Answers:

Q1. (A) → (b)
Q1. (B) → (c) AN
Q2. → 64
Q3. (a) → 42, 39
Q3. (b) → 25, 42
Q4. → (b) 1234, 12345
Q5. →
a=42, b=35, c=41, d=38, e=36
Grid:
```
42 35 40
37 39 41
38 43 36
```

All lines sum to 117 ✔

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