Let’s solve each puzzle step by step.
The rule is:
-
TOTAL = Number 1 + Number 2 → goes in the green box
-
PRODUCT = Number 1 × Number 2 → goes in the orange box
We’ll go row by row, left to right.
---
Row 1:
Puzzle 1 (top-left):
Numbers: 4 and 9
→ TOTAL = 4 + 9 =
13
→ PRODUCT = 4 × 9 =
36
Puzzle 2 (top-middle):
Numbers: 6 and 8
→ TOTAL = 6 + 8 =
14
→ PRODUCT = 6 × 8 =
48
Puzzle 3 (top-right):
Numbers: 13 and 10
→ TOTAL = 13 + 10 =
23
→ PRODUCT = 13 × 10 =
130
---
Row 2:
Puzzle 4 (middle-left):
Numbers: 6 and 7
→ TOTAL = 6 + 7 =
13
→ PRODUCT = 6 × 7 =
42
Puzzle 5 (middle-middle):
Numbers: 12 and 5
→ TOTAL = 12 + 5 =
17
→ PRODUCT = 12 × 5 =
60
Puzzle 6 (middle-right):
Numbers: 7 and 8
→ TOTAL = 7 + 8 =
15
→ PRODUCT = 7 × 8 =
56
---
Row 3:
Puzzle 7 (bottom-left):
Given: TOTAL = 14, one number = 8 → find other number and PRODUCT
→ Other number = 14 - 8 =
6
→ PRODUCT = 8 × 6 =
48
Puzzle 8 (bottom-middle):
Given: PRODUCT = 63, one number = 7 → find other number and TOTAL
→ Other number = 63 ÷ 7 =
9
→ TOTAL = 7 + 9 =
16
Puzzle 9 (bottom-right):
Given: TOTAL = 18, one number = 3 → find other number and PRODUCT
→ Other number = 18 - 3 =
15
→ PRODUCT = 3 × 15 =
45
---
Final Answer:
Row 1:
[13] [36] | [14] [48] | [23] [130]
Row 2:
[13] [42] | [17] [60] | [15] [56]
Row 3:
[14] [48] | [16] [9] | [18] [45]
*(Note: In Row 3, Puzzle 8 — the missing hexagon is 9; Puzzle 9 — the missing hexagon is 15)*
So filling all blanks:
Top row:
Green: 13, 14, 23
Orange: 36, 48, 130
Middle row:
Green: 13, 17, 15
Orange: 42, 60, 56
Bottom row:
Left: Orange = 48, bottom hex = 6
Middle: Green = 16, bottom hex = 9
Right: Orange = 45, bottom hex = 15
✔ All verified.
Final Answer:
Row 1: 13, 36 | 14, 48 | 23, 130
Row 2: 13, 42 | 17, 60 | 15, 56
Row 3: 14, 48 (with 6 below) | 16, 63 (with 9 below) | 18, 45 (with 15 below)
But since the question asks to “fill in the missing numbers”, we list only the blank boxes in order as they appear (left to right, top to bottom):
Blanks are:
Row 1:
Green1, Orange1 → 13, 36
Green2, Orange2 → 14, 48
Green3, Orange3 → 23, 130
Row 2:
Green4, Orange4 → 13, 42
Green5, Orange5 → 17, 60
Green6, Orange6 → 15, 56
Row 3:
Orange7, BottomHex7 → 48, 6
Green8, BottomHex8 → 16, 9
Orange9, BottomHex9 → 45, 15
So final filled values in order of appearance (only the empty boxes):
13, 36, 14, 48, 23, 130,
13, 42, 17, 60, 15, 56,
48, 6, 16, 9, 45, 15
Final Answer:
13, 36, 14, 48, 23, 130, 13, 42, 17, 60, 15, 56, 48, 6, 16, 9, 45, 15
Parent Tip: Review the logic above to help your child master the concept of 4th grade math riddle worksheet.
