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Step-by-step solution for: Patterns of Objects Worksheets | Worsheets library
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Step-by-step solution for: Patterns of Objects Worksheets | Worsheets library
Let's solve each problem step by step and explain the patterns.
---
Pattern:
Snails in order:
🟨 (yellow), 🟩 (green), 🔴 (red), 🟨, 🟩, 🔴, 🟨, 🟩
We can see a repeating pattern of 3 colors: Yellow → Green → Red.
So the sequence is:
- Yellow, Green, Red → Yellow, Green, Red → Yellow, Green
The next two should be: Red, then Yellow (to complete the cycle).
✔ Answer: Shade the last two snails as:
- 7th snail: Red
- 8th snail: Yellow
But wait — the 7th snail is already uncolored (white), and the 8th is also white. So we need to shade them according to the pattern.
Since the pattern is Y, G, R, Y, G, R, Y, G, the next one after G should be R, then Y.
So:
- 7th snail → Red
- 8th snail → Yellow
✔ Shade the 7th snail red and the 8th snail yellow.
---
Sequence:
5, 6, 7, 8, 5, 6, 7, 8, 5, 6, 7, 8, __, __, __
This is clearly a repeating cycle of 4 numbers:
5, 6, 7, 8
After the third "8", it will go back to 5, then 6, then 7.
So the next three numbers are:
5, 6, 7
✔ Answer: 5, 6, 7
---
Starfish sequence:
🔵, 🔵, 🟡, 🔵, 🔵, 🟡, 🔵, 🔵, 🔵, 🔵
Let’s list them with positions:
1. 🔵
2. 🔵
3. 🟡
4. 🔵
5. 🔵
6. 🟡
7. 🔵
8. 🔵
9. 🔵
10. 🔵
Wait — let’s look closely at the pattern.
From left:
- Positions 1–3: 🔵, 🔵, 🟡
- Then 4–6: 🔵, 🔵, 🟡
- Then 7–9: 🔵, 🔵, 🔵? But that breaks the pattern.
Wait — maybe it's a pairing pattern?
Look again:
1. 🔵
2. 🔵
3. 🟡
4. 🔵
5. 🔵
6. 🟡
7. 🔵
8. 🔵
9. 🔵
10. 🔵
Wait — positions 3 and 6 are yellow, others blue.
So maybe: every third starfish is yellow?
- Position 3: 🟡
- Position 6: 🟡
- Position 9: ??? → Should be 🟡?
- Position 10: ???
But position 9 is currently blue, and position 10 is blue.
But the pattern so far:
- 1: 🔵
- 2: 🔵
- 3: 🟡
- 4: 🔵
- 5: 🔵
- 6: 🟡
- 7: 🔵
- 8: 🔵
- 9: 🔵
- 10: 🔵
Hmm — perhaps it's two blues, one yellow, repeating?
So group:
- (🔵, 🔵, 🟡) → Group 1
- (🔵, 🔵, 🟡) → Group 2
- (🔵, 🔵, ?) → Group 3
So after the second yellow (at position 6), next should be:
- Position 7: 🔵
- Position 8: 🔵
- Position 9: 🟡 ← missing!
But in the image, position 9 is shown as blue, but it's unshaded — probably meant to be shaded.
Wait — the instruction says: "Shade the last 2 starfish to finish the pattern."
So only the last two (positions 9 and 10) are unshaded.
Current:
- 7: 🔵 (already shaded)
- 8: 🔵 (already shaded)
- 9: 🔵 (unshaded)
- 10: 🔵 (unshaded)
But if the pattern is two blue, one yellow, then:
- After 6 (🟡), we expect:
- 7: 🔵
- 8: 🔵
- 9: 🟡 ← must be yellow
- 10: 🔵
But wait — that would break the two-blue-one-yellow cycle unless we have a different pattern.
Wait — let's recheck:
Group 1: 1-3 → 🔵, 🔵, 🟡
Group 2: 4-6 → 🔵, 🔵, 🟡
So group 3: 7-9 → should be 🔵, 🔵, 🟡
But 7: 🔵
8: 🔵
9: ??? → should be 🟡
But in the image, 9 is blue and unshaded — so likely we need to shade it yellow.
Then 10: ??? → should be 🔵 (start of next group?)
But the pattern is three per group, so:
- Group 1: 1-3 → B, B, Y
- Group 2: 4-6 → B, B, Y
- Group 3: 7-9 → B, B, Y
- Group 4: 10-12 → B, B, Y
But there are only 10 starfish.
So:
- 7: B
- 8: B
- 9: should be Y
- 10: should be B
But both 9 and 10 are unshaded.
So we need to:
- Shade 9 as yellow
- Shade 10 as blue
✔ Answer: Shade the 9th starfish yellow, and the 10th starfish blue.
---
Dice sequence:
1. ⬤ (bottom right) → 1 dot
2. ⬤⬤ (bottom right + top right) → 2 dots
3. ⬤⬤⬤ (bottom right, top right, top left) → 3 dots
4. ⬤⬤ (top left + bottom left) → 2 dots
5. ⬤⬤ (top left + bottom right) → 2 dots? Wait — not consistent.
Wait — let's analyze the positions of the dots.
Each die has dots in specific corners.
Standard die faces:
- 1: center
- 2: top-right and bottom-left
- 3: top-right, center, bottom-left
- 4: top-left, top-right, bottom-left, bottom-right
- 5: center + all four corners
- 6: two rows of three
But here, these are simplified.
Let’s look at the pattern of dot positions:
1. One dot: bottom-right corner
2. Two dots: bottom-right and top-right
3. Three dots: bottom-right, top-right, top-left
4. Two dots: top-left and bottom-left
5. Two dots: top-left and bottom-right
6. Two dots: top-left and top-right
7. One dot: bottom-right
Wait — this seems messy.
Wait — maybe it's a repeating pattern of dot positions?
Let’s list them:
1. Bottom-right → 1 dot
2. Top-right & Bottom-right → 2 dots
3. Top-right, Top-left, Bottom-right → 3 dots
4. Top-left & Bottom-left → 2 dots
5. Top-left & Bottom-right → 2 dots
6. Top-left & Top-right → 2 dots
7. Bottom-right → 1 dot
Now look at the sequence of dot counts:
1, 2, 3, 2, 2, 2, 1
Not clear.
But notice:
- 1: 1 dot (BR)
- 2: 2 dots (TR, BR)
- 3: 3 dots (TL, TR, BR)
- 4: 2 dots (TL, BL)
- 5: 2 dots (TL, BR)
- 6: 2 dots (TL, TR)
- 7: 1 dot (BR)
Wait — maybe it's a clockwise spiral or something?
Alternatively, think about symmetry.
Another idea: maybe it's alternating between two patterns?
But let’s consider that the dice might represent numbers 1 to 6, and the pattern is based on number progression.
But the number of dots isn't increasing.
Wait — look again:
Die 1: 1 dot → 1
Die 2: 2 dots → 2
Die 3: 3 dots → 3
Die 4: 2 dots → 2
Die 5: 2 dots → 2
Die 6: 2 dots → 2
Die 7: 1 dot → 1
Still unclear.
Wait — maybe it's based on position?
Let’s look at the dot placement:
1. Bottom-right → 1 dot
2. Top-right and bottom-right → 2 dots (right side)
3. Top-right, top-left, bottom-right → 3 dots (all except bottom-left)
4. Top-left and bottom-left → 2 dots (left side)
5. Top-left and bottom-right → diagonal
6. Top-left and top-right → top row
7. Bottom-right → 1 dot
Now look at the sequence of shapes:
It seems like a cycle of 3?
Wait — from 1 to 3: building up on the right side.
Then 4: left side
5: diagonal
6: top
7: back to bottom-right
Maybe it's a circular pattern?
Alternatively, consider that the first three dice show increasing dots on the right side:
- 1: BR
- 2: TR + BR
- 3: TL + TR + BR
Then die 4: TL + BL → left side
Die 5: TL + BR → diagonal
Die 6: TL + TR → top
Die 7: BR → back to start
Wait — maybe it's a repeating pattern of 3 dice?
But not clear.
Another idea: perhaps it's a repeating pattern of 4 dice?
Wait — look at the dots:
Let’s count the number of dots:
1. 1
2. 2
3. 3
4. 2
5. 2
6. 2
7. 1
Still not helpful.
Wait — maybe it's not about number of dots, but about position.
Let’s try to see if it's a repeating pattern of 3 dice:
Compare:
- Die 1: BR
- Die 2: TR, BR
- Die 3: TL, TR, BR
Then:
- Die 4: TL, BL
- Die 5: TL, BR
- Die 6: TL, TR
- Die 7: BR
Now compare die 1 and die 7: both have BR → same
So maybe die 7 is the start of a new cycle?
But die 7 is BR (1 dot), like die 1.
So perhaps the pattern is:
- Die 1: BR
- Die 2: TR, BR
- Die 3: TL, TR, BR
- Die 4: TL, BL
- Die 5: TL, BR
- Die 6: TL, TR
- Die 7: BR → repeats die 1
So die 8 should be like die 2 → TR, BR
Die 9 should be like die 3 → TL, TR, BR
But die 7 is BR → same as die 1
So:
- Die 8: TR, BR → 2 dots (top-right and bottom-right)
- Die 9: TL, TR, BR → 3 dots (top-left, top-right, bottom-right)
✔ Answer:
- 8th die: two dots — top-right and bottom-right
- 9th die: three dots — top-left, top-right, bottom-right
So draw:
- 8th: ⬤⬤ (top-right and bottom-right)
- 9th: ⬤⬤⬤ (top-left, top-right, bottom-right)
---
Sequence:
□ △ ○ □ △ ○ □ ___ ___
Clearly a repeating pattern of 3: Square, Triangle, Circle
So:
- 1: □
- 2: △
- 3: ○
- 4: □
- 5: △
- 6: ○
- 7: □
- 8: △
- 9: ○
✔ Answer: Draw a triangle in the 8th box and a circle in the 9th box.
---
Sequence:
E F G E F G E F G ___ ___ ___
Repeating pattern: E, F, G
So after the third "G", it should go back to E, then F, then G
So the next three letters are:
- E, F, G
✔ Answer: E, F, G
---
1) Shade the last 2 snails as:
- 7th snail: Red
- 8th snail: Yellow
2) Next 3 numbers: 5, 6, 7
3) Shade the last 2 starfish:
- 9th: Yellow
- 10th: Blue
4) Complete dice patterns:
- 8th die: Dots in top-right and bottom-right
- 9th die: Dots in top-left, top-right, bottom-right
5) Draw the last 2 shapes:
- 8th: Triangle
- 9th: Circle
6) Last 3 letters: E, F, G
Let me know if you'd like a visual explanation!
---
1) Shade the last 2 snails
Pattern:
Snails in order:
🟨 (yellow), 🟩 (green), 🔴 (red), 🟨, 🟩, 🔴, 🟨, 🟩
We can see a repeating pattern of 3 colors: Yellow → Green → Red.
So the sequence is:
- Yellow, Green, Red → Yellow, Green, Red → Yellow, Green
The next two should be: Red, then Yellow (to complete the cycle).
✔ Answer: Shade the last two snails as:
- 7th snail: Red
- 8th snail: Yellow
But wait — the 7th snail is already uncolored (white), and the 8th is also white. So we need to shade them according to the pattern.
Since the pattern is Y, G, R, Y, G, R, Y, G, the next one after G should be R, then Y.
So:
- 7th snail → Red
- 8th snail → Yellow
✔ Shade the 7th snail red and the 8th snail yellow.
---
2) Write the next 3 numbers in this pattern
Sequence:
5, 6, 7, 8, 5, 6, 7, 8, 5, 6, 7, 8, __, __, __
This is clearly a repeating cycle of 4 numbers:
5, 6, 7, 8
After the third "8", it will go back to 5, then 6, then 7.
So the next three numbers are:
5, 6, 7
✔ Answer: 5, 6, 7
---
3) Shade the last 2 starfish to finish the pattern
Starfish sequence:
🔵, 🔵, 🟡, 🔵, 🔵, 🟡, 🔵, 🔵, 🔵, 🔵
Let’s list them with positions:
1. 🔵
2. 🔵
3. 🟡
4. 🔵
5. 🔵
6. 🟡
7. 🔵
8. 🔵
9. 🔵
10. 🔵
Wait — let’s look closely at the pattern.
From left:
- Positions 1–3: 🔵, 🔵, 🟡
- Then 4–6: 🔵, 🔵, 🟡
- Then 7–9: 🔵, 🔵, 🔵? But that breaks the pattern.
Wait — maybe it's a pairing pattern?
Look again:
1. 🔵
2. 🔵
3. 🟡
4. 🔵
5. 🔵
6. 🟡
7. 🔵
8. 🔵
9. 🔵
10. 🔵
Wait — positions 3 and 6 are yellow, others blue.
So maybe: every third starfish is yellow?
- Position 3: 🟡
- Position 6: 🟡
- Position 9: ??? → Should be 🟡?
- Position 10: ???
But position 9 is currently blue, and position 10 is blue.
But the pattern so far:
- 1: 🔵
- 2: 🔵
- 3: 🟡
- 4: 🔵
- 5: 🔵
- 6: 🟡
- 7: 🔵
- 8: 🔵
- 9: 🔵
- 10: 🔵
Hmm — perhaps it's two blues, one yellow, repeating?
So group:
- (🔵, 🔵, 🟡) → Group 1
- (🔵, 🔵, 🟡) → Group 2
- (🔵, 🔵, ?) → Group 3
So after the second yellow (at position 6), next should be:
- Position 7: 🔵
- Position 8: 🔵
- Position 9: 🟡 ← missing!
But in the image, position 9 is shown as blue, but it's unshaded — probably meant to be shaded.
Wait — the instruction says: "Shade the last 2 starfish to finish the pattern."
So only the last two (positions 9 and 10) are unshaded.
Current:
- 7: 🔵 (already shaded)
- 8: 🔵 (already shaded)
- 9: 🔵 (unshaded)
- 10: 🔵 (unshaded)
But if the pattern is two blue, one yellow, then:
- After 6 (🟡), we expect:
- 7: 🔵
- 8: 🔵
- 9: 🟡 ← must be yellow
- 10: 🔵
But wait — that would break the two-blue-one-yellow cycle unless we have a different pattern.
Wait — let's recheck:
Group 1: 1-3 → 🔵, 🔵, 🟡
Group 2: 4-6 → 🔵, 🔵, 🟡
So group 3: 7-9 → should be 🔵, 🔵, 🟡
But 7: 🔵
8: 🔵
9: ??? → should be 🟡
But in the image, 9 is blue and unshaded — so likely we need to shade it yellow.
Then 10: ??? → should be 🔵 (start of next group?)
But the pattern is three per group, so:
- Group 1: 1-3 → B, B, Y
- Group 2: 4-6 → B, B, Y
- Group 3: 7-9 → B, B, Y
- Group 4: 10-12 → B, B, Y
But there are only 10 starfish.
So:
- 7: B
- 8: B
- 9: should be Y
- 10: should be B
But both 9 and 10 are unshaded.
So we need to:
- Shade 9 as yellow
- Shade 10 as blue
✔ Answer: Shade the 9th starfish yellow, and the 10th starfish blue.
---
4) Complete the last 2 dice patterns
Dice sequence:
1. ⬤ (bottom right) → 1 dot
2. ⬤⬤ (bottom right + top right) → 2 dots
3. ⬤⬤⬤ (bottom right, top right, top left) → 3 dots
4. ⬤⬤ (top left + bottom left) → 2 dots
5. ⬤⬤ (top left + bottom right) → 2 dots? Wait — not consistent.
Wait — let's analyze the positions of the dots.
Each die has dots in specific corners.
Standard die faces:
- 1: center
- 2: top-right and bottom-left
- 3: top-right, center, bottom-left
- 4: top-left, top-right, bottom-left, bottom-right
- 5: center + all four corners
- 6: two rows of three
But here, these are simplified.
Let’s look at the pattern of dot positions:
1. One dot: bottom-right corner
2. Two dots: bottom-right and top-right
3. Three dots: bottom-right, top-right, top-left
4. Two dots: top-left and bottom-left
5. Two dots: top-left and bottom-right
6. Two dots: top-left and top-right
7. One dot: bottom-right
Wait — this seems messy.
Wait — maybe it's a repeating pattern of dot positions?
Let’s list them:
1. Bottom-right → 1 dot
2. Top-right & Bottom-right → 2 dots
3. Top-right, Top-left, Bottom-right → 3 dots
4. Top-left & Bottom-left → 2 dots
5. Top-left & Bottom-right → 2 dots
6. Top-left & Top-right → 2 dots
7. Bottom-right → 1 dot
Now look at the sequence of dot counts:
1, 2, 3, 2, 2, 2, 1
Not clear.
But notice:
- 1: 1 dot (BR)
- 2: 2 dots (TR, BR)
- 3: 3 dots (TL, TR, BR)
- 4: 2 dots (TL, BL)
- 5: 2 dots (TL, BR)
- 6: 2 dots (TL, TR)
- 7: 1 dot (BR)
Wait — maybe it's a clockwise spiral or something?
Alternatively, think about symmetry.
Another idea: maybe it's alternating between two patterns?
But let’s consider that the dice might represent numbers 1 to 6, and the pattern is based on number progression.
But the number of dots isn't increasing.
Wait — look again:
Die 1: 1 dot → 1
Die 2: 2 dots → 2
Die 3: 3 dots → 3
Die 4: 2 dots → 2
Die 5: 2 dots → 2
Die 6: 2 dots → 2
Die 7: 1 dot → 1
Still unclear.
Wait — maybe it's based on position?
Let’s look at the dot placement:
1. Bottom-right → 1 dot
2. Top-right and bottom-right → 2 dots (right side)
3. Top-right, top-left, bottom-right → 3 dots (all except bottom-left)
4. Top-left and bottom-left → 2 dots (left side)
5. Top-left and bottom-right → diagonal
6. Top-left and top-right → top row
7. Bottom-right → 1 dot
Now look at the sequence of shapes:
It seems like a cycle of 3?
Wait — from 1 to 3: building up on the right side.
Then 4: left side
5: diagonal
6: top
7: back to bottom-right
Maybe it's a circular pattern?
Alternatively, consider that the first three dice show increasing dots on the right side:
- 1: BR
- 2: TR + BR
- 3: TL + TR + BR
Then die 4: TL + BL → left side
Die 5: TL + BR → diagonal
Die 6: TL + TR → top
Die 7: BR → back to start
Wait — maybe it's a repeating pattern of 3 dice?
But not clear.
Another idea: perhaps it's a repeating pattern of 4 dice?
Wait — look at the dots:
Let’s count the number of dots:
1. 1
2. 2
3. 3
4. 2
5. 2
6. 2
7. 1
Still not helpful.
Wait — maybe it's not about number of dots, but about position.
Let’s try to see if it's a repeating pattern of 3 dice:
Compare:
- Die 1: BR
- Die 2: TR, BR
- Die 3: TL, TR, BR
Then:
- Die 4: TL, BL
- Die 5: TL, BR
- Die 6: TL, TR
- Die 7: BR
Now compare die 1 and die 7: both have BR → same
So maybe die 7 is the start of a new cycle?
But die 7 is BR (1 dot), like die 1.
So perhaps the pattern is:
- Die 1: BR
- Die 2: TR, BR
- Die 3: TL, TR, BR
- Die 4: TL, BL
- Die 5: TL, BR
- Die 6: TL, TR
- Die 7: BR → repeats die 1
So die 8 should be like die 2 → TR, BR
Die 9 should be like die 3 → TL, TR, BR
But die 7 is BR → same as die 1
So:
- Die 8: TR, BR → 2 dots (top-right and bottom-right)
- Die 9: TL, TR, BR → 3 dots (top-left, top-right, bottom-right)
✔ Answer:
- 8th die: two dots — top-right and bottom-right
- 9th die: three dots — top-left, top-right, bottom-right
So draw:
- 8th: ⬤⬤ (top-right and bottom-right)
- 9th: ⬤⬤⬤ (top-left, top-right, bottom-right)
---
5) Draw the last 2 shapes
Sequence:
□ △ ○ □ △ ○ □ ___ ___
Clearly a repeating pattern of 3: Square, Triangle, Circle
So:
- 1: □
- 2: △
- 3: ○
- 4: □
- 5: △
- 6: ○
- 7: □
- 8: △
- 9: ○
✔ Answer: Draw a triangle in the 8th box and a circle in the 9th box.
---
6) Write in the last 3 letters
Sequence:
E F G E F G E F G ___ ___ ___
Repeating pattern: E, F, G
So after the third "G", it should go back to E, then F, then G
So the next three letters are:
- E, F, G
✔ Answer: E, F, G
---
✔ Final Answers Summary:
1) Shade the last 2 snails as:
- 7th snail: Red
- 8th snail: Yellow
2) Next 3 numbers: 5, 6, 7
3) Shade the last 2 starfish:
- 9th: Yellow
- 10th: Blue
4) Complete dice patterns:
- 8th die: Dots in top-right and bottom-right
- 9th die: Dots in top-left, top-right, bottom-right
5) Draw the last 2 shapes:
- 8th: Triangle
- 9th: Circle
6) Last 3 letters: E, F, G
Let me know if you'd like a visual explanation!
Parent Tip: Review the logic above to help your child master the concept of pattern worksheets for kindergarten pdf.