Worksheet with math and logic problems for children, including shape patterns, time-telling, and counting.
A worksheet titled "Smarty Buddy Workbook 2" with math and logic questions involving shapes, time, and counting, featuring illustrations of blocks, clocks, and people in a line.
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Step-by-step solution for: Mathematical Olympiad: Kangaroo Math Full Practice Test (Grade 1 -2)
▼
Show Answer Key & Explanations
Step-by-step solution for: Mathematical Olympiad: Kangaroo Math Full Practice Test (Grade 1 -2)
Let's solve each of the problems shown in the image step by step.
---
"Afruit was turning a shape. The first three turns are shown in the picture. He did six turns in total. What does this shape look like at the end?"
We don't have the actual image, but based on typical patterns in such puzzles (especially from "Smarty Buddy" workbooks), this is likely a rotation pattern of a shape (possibly a square or cross-like figure) that rotates in a consistent direction (e.g., 90° clockwise or counterclockwise) with each turn.
Assuming:
- The shape is rotated 90° clockwise each time.
- After 4 turns, it returns to its original orientation (since 4 × 90° = 360°).
- There are 6 turns in total.
So:
- Turn 1: 90°
- Turn 2: 180°
- Turn 3: 270°
- Turn 4: 360° → back to start
- Turn 5: 90°
- Turn 6: 180°
Thus, after 6 turns, the shape will be rotated 180° from the original.
Answer: The final shape is rotated 180 degrees from the original.
> Since we can’t see the image, if you can describe the initial shape or the options, I can give the exact answer. But generally, after 6 turns of 90° rotation, it’s equivalent to 180°.
---
"Now it is half past one o'clock. What time was it two and a half hours ago?"
Current time: 1:30 PM
Subtract 2.5 hours:
- 1:30 - 2 hours = 11:30 AM
- Then subtract 0.5 hour: 11:30 AM - 30 minutes = 11:00 AM
✔ So, two and a half hours before 1:30 is 11:00 AM
Answer: (D) 11:00
---
"Steve and William stood in line. Steve knows that there were 3 people in front of him and 7 behind him. William knows that there were 4 people in front of him and 6 behind him. How many people in the line are before William?"
Let’s analyze:
#### Steve's position:
- 3 people in front → Steve is 4th in line
- 7 behind → so total people = 3 (in front) + 1 (Steve) + 7 (behind) = 11 people
So, the line has 11 people.
Now William:
- 4 people in front → William is 5th in line
- 6 behind → 4 + 1 + 6 = 11 → matches total
Now, the question: "How many people in the line are before William?"
William is 5th → 4 people are before him.
✔ Answer: (C) 4
---
"Find the number in the lower right corner of the table."
The grid looks like:
```
| 2 4 6
---|---------
1 | 3 ? ?
2 | 4 6 8
3 | 5 ? ?
```
Wait — actually, let's interpret the table correctly.
Looking at the structure:
It appears to be a multiplication table?
Let’s reconstruct:
Row labels: 1, 2, 3
Column labels: 2, 4, 6
Then entries:
- Row 1: 3, ?, ?
- Row 2: 4, 6, 8
- Row 3: 5, ?, ?
Wait — row 2:
- 1×2=2, but entry is 4? Not matching.
Wait — maybe not multiplication.
Look at row 2:
- Column 2: 4
- Column 4: 6
- Column 6: 8
Hmm... 2→4, 4→6, 6→8 → increasing by 2? But not consistent.
Wait — perhaps it's row number + column number?
Try:
- Row 1, Col 2: 1+2=3 → matches
- Row 1, Col 4: 1+4=5 → should be ?
- Row 1, Col 6: 1+6=7 → ?
Row 2:
- 2+2=4 → matches
- 2+4=6 → matches
- 2+6=8 → matches
Row 3:
- 3+2=5 → matches
- 3+4=7 → ?
- 3+6=9 → ?
So the pattern is: value = row number + column number
Therefore:
- Row 1, Col 4: 1+4 = 5
- Row 1, Col 6: 1+6 = 7
- Row 3, Col 4: 3+4 = 7
- Row 3, Col 6: 3+6 = 9
But the question asks for the lower right corner, which is Row 3, Column 6 → 3 + 6 = 9
✔ Answer: (D) 9
---
8. (Not fully solvable without image, but likely rotated 180°)
9. (D) 11:00
10. (C) 4
11. (D) 9
Let me know if you'd like help with Problem 8 with more details!
---
Problem 8:
"Afruit was turning a shape. The first three turns are shown in the picture. He did six turns in total. What does this shape look like at the end?"
We don't have the actual image, but based on typical patterns in such puzzles (especially from "Smarty Buddy" workbooks), this is likely a rotation pattern of a shape (possibly a square or cross-like figure) that rotates in a consistent direction (e.g., 90° clockwise or counterclockwise) with each turn.
Assuming:
- The shape is rotated 90° clockwise each time.
- After 4 turns, it returns to its original orientation (since 4 × 90° = 360°).
- There are 6 turns in total.
So:
- Turn 1: 90°
- Turn 2: 180°
- Turn 3: 270°
- Turn 4: 360° → back to start
- Turn 5: 90°
- Turn 6: 180°
Thus, after 6 turns, the shape will be rotated 180° from the original.
Answer: The final shape is rotated 180 degrees from the original.
> Since we can’t see the image, if you can describe the initial shape or the options, I can give the exact answer. But generally, after 6 turns of 90° rotation, it’s equivalent to 180°.
---
Problem 9:
"Now it is half past one o'clock. What time was it two and a half hours ago?"
Current time: 1:30 PM
Subtract 2.5 hours:
- 1:30 - 2 hours = 11:30 AM
- Then subtract 0.5 hour: 11:30 AM - 30 minutes = 11:00 AM
✔ So, two and a half hours before 1:30 is 11:00 AM
Answer: (D) 11:00
---
Problem 10:
"Steve and William stood in line. Steve knows that there were 3 people in front of him and 7 behind him. William knows that there were 4 people in front of him and 6 behind him. How many people in the line are before William?"
Let’s analyze:
#### Steve's position:
- 3 people in front → Steve is 4th in line
- 7 behind → so total people = 3 (in front) + 1 (Steve) + 7 (behind) = 11 people
So, the line has 11 people.
Now William:
- 4 people in front → William is 5th in line
- 6 behind → 4 + 1 + 6 = 11 → matches total
Now, the question: "How many people in the line are before William?"
William is 5th → 4 people are before him.
✔ Answer: (C) 4
---
Problem 11:
"Find the number in the lower right corner of the table."
The grid looks like:
```
| 2 4 6
---|---------
1 | 3 ? ?
2 | 4 6 8
3 | 5 ? ?
```
Wait — actually, let's interpret the table correctly.
Looking at the structure:
It appears to be a multiplication table?
Let’s reconstruct:
Row labels: 1, 2, 3
Column labels: 2, 4, 6
Then entries:
- Row 1: 3, ?, ?
- Row 2: 4, 6, 8
- Row 3: 5, ?, ?
Wait — row 2:
- 1×2=2, but entry is 4? Not matching.
Wait — maybe not multiplication.
Look at row 2:
- Column 2: 4
- Column 4: 6
- Column 6: 8
Hmm... 2→4, 4→6, 6→8 → increasing by 2? But not consistent.
Wait — perhaps it's row number + column number?
Try:
- Row 1, Col 2: 1+2=3 → matches
- Row 1, Col 4: 1+4=5 → should be ?
- Row 1, Col 6: 1+6=7 → ?
Row 2:
- 2+2=4 → matches
- 2+4=6 → matches
- 2+6=8 → matches
Row 3:
- 3+2=5 → matches
- 3+4=7 → ?
- 3+6=9 → ?
So the pattern is: value = row number + column number
Therefore:
- Row 1, Col 4: 1+4 = 5
- Row 1, Col 6: 1+6 = 7
- Row 3, Col 4: 3+4 = 7
- Row 3, Col 6: 3+6 = 9
But the question asks for the lower right corner, which is Row 3, Column 6 → 3 + 6 = 9
✔ Answer: (D) 9
---
✔ Final Answers:
8. (Not fully solvable without image, but likely rotated 180°)
9. (D) 11:00
10. (C) 4
11. (D) 9
Let me know if you'd like help with Problem 8 with more details!
Parent Tip: Review the logic above to help your child master the concept of math kangaroo grade 1.