Interactive math worksheet on weight comparison using equal arm balances.
A mathematics worksheet titled "Mathematics - Weight" featuring three exercises with equal arm balances and objects like a brick, pillow, leaf, banana, apple, cherry, and pear to compare weights.
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Show Answer Key & Explanations
Step-by-step solution for: Using the equal arm balance worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Using the equal arm balance worksheet
Let’s go step by step.
We are using an equal arm balance — that means if both sides have the same weight, the balance stays level. If one side is heavier, it goes down. If one side is lighter, it goes up.
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First Balance (top):
The left pan is lower → so the object on the left is heavier.
The right pan is higher → so the object on the right is lighter.
Objects given:
- a brick (heavy)
- a pillow (light)
So we put the brick on the left, and the pillow on the right.
✔ That matches what the balance shows.
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Second Balance (middle):
Left pan is lower → left side is heavier.
Right pan is higher → right side is lighter.
Objects given:
- a leaf (very light)
- a banana (heavier than a leaf)
So we put the banana on the left, and the leaf on the right.
✔ That makes sense — banana is heavier, so it pulls the left side down.
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Third Balance (bottom):
Both pans are level → both sides weigh the same.
Objects given:
- apple
- cherry
- pear
We need to pick two objects that together or individually can balance each other? Wait — look again.
Actually, in this case, there are three objects shown, but only two pans. So likely, we’re meant to choose two objects that weigh about the same to put on each side.
But wait — looking at real-life weights:
- A cherry is very light.
- An apple and a pear are similar in size and usually similar in weight.
So probably, we put the apple on one side and the pear on the other side — they should balance.
The cherry is too light to balance either alone — unless we combine it with something, but the image doesn’t show combining.
Also, the balance is already drawn as balanced — so we just need to assign the two heaviest (and roughly equal) items to each side.
So:
→ Left pan: apple
→ Right pan: pear
Cherry is not used? Or maybe it’s a trick? But since the balance is level, and apple ≈ pear in weight, that works.
Alternatively, maybe the cherry is meant to be ignored? Or perhaps it's a distractor.
Looking back at the instruction: “Put the objects on the correct side” — plural — so for each balance, we use the objects shown next to it.
In the third box, there are three objects: apple, cherry, pear.
But the balance has only two pans. So likely, we are to choose which two go on which side to make it balance.
Since apple and pear are similar, and cherry is much lighter, the only way to balance is to put apple on one side and pear on the other.
If we tried to put cherry + something vs something else — but we don’t have more objects.
So best answer:
Left pan: apple
Right pan: pear
(Leave cherry out? Or maybe it’s not needed.)
Wait — perhaps the problem expects us to realize that apple and pear are close in weight, so they balance. Cherry is too light to matter here.
Yes — that must be it.
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Final check:
Balance 1: Brick (left), Pillow (right) → correct
Balance 2: Banana (left), Leaf (right) → correct
Balance 3: Apple (left), Pear (right) → balances → correct
Cherry is not placed because it’s too light and would unbalance the scale if added.
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Final Answer:
For the first balance: Put a brick on the left side and a pillow on the right side.
For the second balance: Put a banana on the left side and a leaf on the right side.
For the third balance: Put an apple on the left side and a pear on the right side.
We are using an equal arm balance — that means if both sides have the same weight, the balance stays level. If one side is heavier, it goes down. If one side is lighter, it goes up.
---
First Balance (top):
The left pan is lower → so the object on the left is heavier.
The right pan is higher → so the object on the right is lighter.
Objects given:
- a brick (heavy)
- a pillow (light)
So we put the brick on the left, and the pillow on the right.
✔ That matches what the balance shows.
---
Second Balance (middle):
Left pan is lower → left side is heavier.
Right pan is higher → right side is lighter.
Objects given:
- a leaf (very light)
- a banana (heavier than a leaf)
So we put the banana on the left, and the leaf on the right.
✔ That makes sense — banana is heavier, so it pulls the left side down.
---
Third Balance (bottom):
Both pans are level → both sides weigh the same.
Objects given:
- apple
- cherry
- pear
We need to pick two objects that together or individually can balance each other? Wait — look again.
Actually, in this case, there are three objects shown, but only two pans. So likely, we’re meant to choose two objects that weigh about the same to put on each side.
But wait — looking at real-life weights:
- A cherry is very light.
- An apple and a pear are similar in size and usually similar in weight.
So probably, we put the apple on one side and the pear on the other side — they should balance.
The cherry is too light to balance either alone — unless we combine it with something, but the image doesn’t show combining.
Also, the balance is already drawn as balanced — so we just need to assign the two heaviest (and roughly equal) items to each side.
So:
→ Left pan: apple
→ Right pan: pear
Cherry is not used? Or maybe it’s a trick? But since the balance is level, and apple ≈ pear in weight, that works.
Alternatively, maybe the cherry is meant to be ignored? Or perhaps it's a distractor.
Looking back at the instruction: “Put the objects on the correct side” — plural — so for each balance, we use the objects shown next to it.
In the third box, there are three objects: apple, cherry, pear.
But the balance has only two pans. So likely, we are to choose which two go on which side to make it balance.
Since apple and pear are similar, and cherry is much lighter, the only way to balance is to put apple on one side and pear on the other.
If we tried to put cherry + something vs something else — but we don’t have more objects.
So best answer:
Left pan: apple
Right pan: pear
(Leave cherry out? Or maybe it’s not needed.)
Wait — perhaps the problem expects us to realize that apple and pear are close in weight, so they balance. Cherry is too light to matter here.
Yes — that must be it.
---
Final check:
Balance 1: Brick (left), Pillow (right) → correct
Balance 2: Banana (left), Leaf (right) → correct
Balance 3: Apple (left), Pear (right) → balances → correct
Cherry is not placed because it’s too light and would unbalance the scale if added.
---
Final Answer:
For the first balance: Put a brick on the left side and a pillow on the right side.
For the second balance: Put a banana on the left side and a leaf on the right side.
For the third balance: Put an apple on the left side and a pear on the right side.
Parent Tip: Review the logic above to help your child master the concept of using the balance worksheet.