Decimal Challenge #1 worksheet with magic square and number pyramid puzzles for practicing decimal addition.

Let’s solve the Number Pyramid puzzle step by step.

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Understanding the Rule:

Each number in a hexagon must equal the sum of the two numbers directly below it.

We’re given some numbers already filled in, and we need to find the missing ones — especially the one circled in red at the bottom left (which is 0.5), but let’s verify if that’s correct or if we need to calculate something else.

Wait — actually, looking again: the red circle is around 0.5, which is already given. But maybe the task is to check if it fits? Or perhaps there’s a missing number above?

Actually, let’s look at the pyramid structure:

It’s a 4-row pyramid:

Row 1 (top): 1 hexagon
Row 2: 2 hexagons
Row 3: 3 hexagons
Row 4 (bottom): 4 hexagons

Given values:

Bottom row (Row 4):
- Leftmost: 0.5 (circled)
- Next: 1.3
- Next: 0.2
- Rightmost: ??? (missing)

Row 3:
- Left: 1.8
- Middle: ???
- Right: 2.1

Row 2:
- Left: ???
- Right: ???

Row 1:
- Top: ???

But wait — the problem says “to solve this puzzle, each number must be equal to the sum of the two numbers below it.” So we work upward.

Let’s label positions for clarity:

Label bottom row as A, B, C, D from left to right.

So:

A = 0.5
B = 1.3
C = 0.2
D = ? ← unknown

Then Row 3:

E = A + B = 0.5 + 1.3 = 1.8 → matches given! Good.

F = B + C = 1.3 + 0.2 = 1.5 → this is the middle hexagon in Row 3 — currently blank.

G = C + D = 0.2 + D → this is the right hexagon in Row 3 — given as 2.1.

So:

G = 0.2 + D = 2.1
→ D = 2.1 - 0.2 = 1.9

Now we have all bottom row: 0.5, 1.3, 0.2, 1.9

Now Row 3:

E = 1.8 (given)
F = 1.5 (calculated)
G = 2.1 (given)

Now Row 2:

H = E + F = 1.8 + 1.5 = 3.3

I = F + G = 1.5 + 2.1 = 3.6

Now Row 1 (top):

J = H + I = 3.3 + 3.6 = 6.9

So the full pyramid is solved.

But the question — what are we being asked? The original image doesn’t specify which number to find. However, since 0.5 is circled in red, and it’s already given, perhaps the intent was to verify it? Or maybe the student is supposed to fill in the blanks?

Looking back at the user’s message: they just said “solve the problem” — and the only thing highlighted is the 0.5. But 0.5 is already provided.

Wait — perhaps the red circle is indicating that 0.5 is the answer to a question like “what number goes here?” — meaning, maybe in the original worksheet, that spot was blank, and 0.5 is the correct answer.

In our calculation, we used 0.5 to get E=1.8, which matched the given value. So 0.5 is consistent.

Alternatively, maybe the puzzle had 0.5 missing, and we’re to confirm it’s correct.

But since the instruction is to “solve the problem”, and the only marked item is 0.5, and our math checks out with 0.5 being correct, then the final answer is likely confirming that 0.5 is the right number for that position.

However, let’s double-check: if we didn’t know 0.5, could we derive it?

Suppose we didn’t know A (the 0.5). We know E = A + B = 1.8, and B = 1.3.

So A = 1.8 - 1.3 = 0.5

Yes! So even if 0.5 wasn’t given, we can calculate it from E and B.

Therefore, the number that belongs in the circled position is 0.5.

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Final Answer:
0.5