Balance the Scales math worksheet for practicing weight equivalence with grams and kilograms.

Let’s solve each scale problem one by one. Remember:
1 kg = 1000 grams

We need to make both sides of the scale equal in weight.

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a. Left side: 300 g + ? g → Right side: 1 kg = 1000 g
So, 300 + ? = 1000
? = 1000 - 300 = 700 g

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b. Left side: 1 kg = 1000 g → Right side: 400 g + ? g
So, 1000 = 400 + ?
? = 1000 - 400 = 600 g

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c. Left side: 2 kg = 2000 g → Right side: 1200 g + ? g
So, 2000 = 1200 + ?
? = 2000 - 1200 = 800 g

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d. Left side: 2500 g + ? g → Right side: 4 kg = 4000 g
So, 2500 + ? = 4000
? = 4000 - 2500 = 1500 g

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e. Left side: 300 g + ? g → Right side: 600 g
So, 300 + ? = 600
? = 600 - 300 = 300 g

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f. Left side: 1 kg = 1000 g → Right side: 250 g + ? g
So, 1000 = 250 + ?
? = 1000 - 250 = 750 g

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g. Left side: 2 kg = 2000 g → Right side: 1800 g + ? g
So, 2000 = 1800 + ?
? = 2000 - 1800 = 200 g

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h. Left side: 1 kg = 1000 g → Right side: ? g + 1300 g
Wait — that can’t be right unless we’re missing something. Let’s check again.

Actually, looking at the layout:
Left side: 1 kg + ? g → Right side: 1300 g
So, 1000 + ? = 1300
? = 1300 - 1000 = 300 g

*(Note: The blank is on the left with 1 kg, so it’s 1 kg + ? = 1300 g)*

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i. Left side: 330 g + 670 g + ? g → Right side: 1100 g
First, add 330 + 670 = 1000
So, 1000 + ? = 1100
? = 1100 - 1000 = 100 g

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j. Left side: ? g + 150 g + 230 g + 270 g → Right side: nothing shown? Wait — actually, all weights are on the left? That doesn’t make sense for balancing.

Looking again — probably the scale has all those on one side and the blank is the total needed to balance... but no, the triangle is under them, meaning they’re all on one side? That can’t be.

Wait — re-examining: In part j, it shows:

[ ? ] [150 g] [230 g] [270 g] — all on the same side? But then what’s on the other side?

Actually, looking at the original image structure (even though I’m not describing it), in such worksheets, when multiple boxes are on one side of the fulcrum, they’re added together, and the other side must match.

But here, only one side has weights listed? That suggests maybe the blank is meant to be the total weight on that side, and the other side is empty? That doesn’t work.

Wait — perhaps it’s a typo or misread. Let me think differently.

In many such problems, if all items are on one side, and there’s a blank, it might mean “what should go on the other side?” But here, the blank is among the weights on the left.

Alternatively — maybe the blank is the missing piece to make the total equal to something implied? But nothing is on the right.

Hold on — let’s look back at the pattern. In part i, three weights on left, one on right. In j, four items on left including a blank — likely, the right side is empty? That doesn’t make sense.

Wait — perhaps in j, the entire left side sums to some value, and the right side is zero? No.

Another possibility: Maybe the blank is the weight that goes on the *right* side? But the diagram places it on the left.

Let me calculate the sum of the known weights on the left in j:
150 + 230 + 270 = 650 g
If the blank is also on the left, then total left = ? + 650
But what is the right side? It’s not shown — which suggests maybe the right side is supposed to be balanced by this total? But without a target, we can’t solve.

Wait — perhaps in the original worksheet, part j has all those on one side and the other side is blank? That would mean the blank is the counterweight? But the blank is drawn on the same side as the others.

This is confusing. Let me try a different approach.

Perhaps in part j, the scale is balanced with the left side having: ? + 150 + 230 + 270, and the right side has nothing — which implies the total must be zero? Impossible.

Alternatively — maybe it’s a trick, and the blank is the total weight of the left side, and the right side is empty? Still doesn’t help.

Wait — let’s look at the numbers: 150 + 230 + 270 = 650. If the blank is meant to be the weight that makes the left side equal to, say, 1000g or something? But no target given.

Perhaps I made a mistake in interpretation. Let me consider that in some formats, when multiple boxes are on one side, and one is blank, it means the blank is the missing addend to reach a certain total — but what total?

Another idea: Maybe in part j, the right side is implied to be 1000g or 1kg? But it’s not stated.

Wait — let’s check the sum: 150 + 230 + 270 = 650. If the blank is x, and the total on left is x + 650, and if the right side is, say, 1000g, then x = 350. But why 1000?

Perhaps from context — in previous problems, 1kg is common. But it’s speculative.

Alternatively, maybe the blank is on the right side? But the diagram shows it on the left.

I think there might be an error in my assumption. Let me try to find a logical solution.

Suppose in part j, the scale is balanced with left side: ? + 150 + 230 + 270, and right side: nothing — which is impossible unless all are zero.

That can’t be.

Perhaps the blank is the weight that should be on the right side to balance the left side's known weights? But the blank is drawn on the left.

Let’s look at the original problem statement: "Make the scales balance by filling in the correct weight."

In part j, if all four boxes are on the left, then the right side must have a weight equal to their sum. But since there’s no box on the right, perhaps the blank is meant to be the total, and we’re to fill it as the answer? But that doesn’t fit the format.

Another possibility: In some worksheets, when you see multiple weights on one side and a blank on the same side, it means the blank is additional weight to make the total equal to a standard like 1kg.

For example, if the known weights sum to 650g, and we want the total to be 1000g, then blank = 350g.

And 1000g is 1kg, which is used frequently in the worksheet.

Moreover, in part i, the right side was 1100g, which is close to 1kg.

Let me assume that in part j, the intended total for the left side is 1000g (1kg), even though not specified. Then:

? + 150 + 230 + 270 = 1000
? + 650 = 1000
? = 350 g

This seems reasonable, and 350g is a nice number.

Perhaps the right side is implied to be 1kg, but not drawn? Or maybe it's a design flaw.

Given the context of the worksheet, and that 1kg is a common reference, I'll go with that.

So for j: ? = 1000 - (150+230+270) = 1000 - 650 = 350 g

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Now, let’s list all answers:

a. 700 g
b. 600 g
c. 800 g
d. 1500 g
e. 300 g
f. 750 g
g. 200 g
h. 300 g
i. 100 g
j. 350 g

Double-checking calculations:

a. 300 + 700 = 1000 ✓
b. 400 + 600 = 1000 ✓
c. 1200 + 800 = 2000 ✓
d. 2500 + 1500 = 4000 ✓
e. 300 + 300 = 600 ✓
f. 250 + 750 = 1000 ✓
g. 1800 + 200 = 2000 ✓
h. 1000 + 300 = 1300 ✓
i. 330 + 670 + 100 = 1100 ✓
j. 150 + 230 + 270 + 350 = 1000 ✓ (assuming target is 1000g)

All check out.

Final Answer:
a. 700 g
b. 600 g
c. 800 g
d. 1500 g
e. 300 g
f. 750 g
g. 200 g
h. 300 g
i. 100 g
j. 350 g