multiples sheet 4:3
a multiple is a number that can be made out of adding groups of another number together.
1) find two multiples of 6 between 40 and 50. ______ and ______
2) circle the numbers below that are multiples of 30.
50 140 200 120 210 130 270
3) find two multiples of 8 between 60 and 75. ______ and ______
4) circle the numbers below that are multiples of 40
60 160 350 140 200 320 300 420
5) fill in the table below.
| number | multiple of 30 | multiple of 70 |
|--------|----------------|----------------|
| 150 | yes | no |
| 140 | | |
| 200 | | |
| 120 | | |
| 210 | | |
| 350 | | |
| 420 | | |
6) i am a multiple of 70. i am between 300 and 500. i am 20 more than a multiple of 100. who am i? ______
7) i am a multiple of 60. i am between 400 and 600. i am 40 away from a multiple of 100. who am i? ______

Question

multiples sheet 4:3
a multiple is a number that can be made out of adding groups of another number together.
1) find two multiples of 6 between 40 and 50. ______ and ______
2) circle the numbers below that are multiples of 30.
50 140 200 120 210 130 270
3) find two multiples of 8 between 60 and 75. ______ and ______
4) circle the numbers below that are multiples of 40
60 160 350 140 200 320 300 420
5) fill in the table below.
| number | multiple of 30 | multiple of 70 |
|--------|----------------|----------------|
| 150    | yes            | no             |
| 140    |                |                |
| 200    |                |                |
| 120    |                |                |
| 210    |                |                |
| 350    |                |                |
| 420    |                |                |
6) i am a multiple of 70. i am between 300 and 500. i am 20 more than a multiple of 100. who am i? ______
7) i am a multiple of 60. i am between 400 and 600. i am 40 away from a multiple of 100. who am i? ______

Accepted Answer

### Question 1
# Explanation:
## Step1: Recall multiples of 6.
Multiples of 6 are $6\times1 = 6$, $6\times2 = 12$, $6\times3 = 18$, $6\times4 = 24$, $6\times5 = 30$, $6\times6 = 36$, $6\times7 = 42$, $6\times8 = 48$, $6\times9 = 54$, etc.
## Step2: Find multiples between 40 and 50.
From the list, 42 ($6\times7$) and 48 ($6\times8$) are between 40 and 50.
# Answer: 42 and 48

### Question 2
# Explanation:
## Step1: Recall multiples of 30.
Multiples of 30 are $30\times1 = 30$, $30\times2 = 60$, $30\times3 = 90$, $30\times4 = 120$, $30\times5 = 150$, $30\times6 = 180$, $30\times7 = 210$, $30\times8 = 240$, $30\times9 = 270$, etc.
## Step2: Identify from the list.
From 50, 140, 200, 120, 210, 130, 270, the multiples of 30 are 120 ($30\times4$), 210 ($30\times7$), 270 ($30\times9$).
# Answer: Circle 120, 210, 270

### Question 3
# Explanation:
## Step1: Recall multiples of 8.
Multiples of 8 are $8\times1 = 8$, $8\times2 = 16$, $8\times3 = 24$, $8\times4 = 32$, $8\times5 = 40$, $8\times6 = 48$, $8\times7 = 56$, $8\times8 = 64$, $8\times9 = 72$, $8\times10 = 80$, etc.
## Step2: Find multiples between 60 and 75.
From the list, 64 ($8\times8$) and 72 ($8\times9$) are between 60 and 75.
# Answer: 64 and 72

### Question 4
# Explanation:
## Step1: Recall multiples of 40.
Multiples of 40 are $40\times1 = 40$, $40\times2 = 80$, $40\times3 = 120$, $40\times4 = 160$, $40\times5 = 200$, $40\times6 = 240$, $40\times7 = 280$, $40\times8 = 320$, $40\times9 = 360$, $40\times10 = 400$, etc.
## Step2: Identify from the list.
From 60, 160, 350, 140, 200, 320, 300, 420, the multiples of 40 are 160 ($40\times4$), 200 ($40\times5$), 320 ($40\times8$).
# Answer: Circle 160, 200, 320

### Question 5
# Explanation:
To determine if a number is a multiple of 30 or 70, we check if it is divisible by 30 or 70 (i.e., $ \text{Number} \div 30 $ or $ \text{Number} \div 70 $ has a remainder of 0).

- For 140: $140\div30 = 4$ remainder $20$ (not multiple of 30), $140\div70 = 2$ (multiple of 70) → No, Yes
- For 200: $200\div30 = 6$ remainder $20$ (not multiple of 30), $200\div70 = 2$ remainder $60$ (not multiple of 70) → No, No
- For 120: $120\div30 = 4$ (multiple of 30), $120\div70 = 1$ remainder $50$ (not multiple of 70) → Yes, No
- For 210: $210\div30 = 7$ (multiple of 30), $210\div70 = 3$ (multiple of 70) → Yes, Yes
- For 350: $350\div30 = 11$ remainder $20$ (not multiple of 30), $350\div70 = 5$ (multiple of 70) → No, Yes
- For 420: $420\div30 = 14$ (multiple of 30), $420\div70 = 6$ (multiple of 70) → Yes, Yes

| Number | Multiple of 30 | Multiple of 70 |
|--------|----------------|----------------|
| 150    | Yes            | No             |
| 140    | No             | Yes            |
| 200    | No             | No             |
| 120    | Yes            | No             |
| 210    | Yes            | Yes            |
| 350    | No             | Yes            |
| 420    | Yes            | Yes            |

# Answer:
| Number | Multiple of 30 | Multiple of 70 |
|--------|----------------|----------------|
| 150    | Yes            | No             |
| 140    | No             | Yes            |
| 200    | No             | No             |
| 120    | Yes            | No             |
| 210    | Yes            | Yes            |
| 350    | No             | Yes            |
| 420    | Yes            | Yes            |

### Question 6
# Explanation:
## Step1: List multiples of 70 between 300 and 500.
Multiples of 70: $70\times4 = 280$ (too low), $70\times5 = 350$, $70\times6 = 420$, $70\times7 = 490$, $70\times8 = 560$ (too high). So possible multiples: 350, 420, 490.
## Step2: Check which is 20 more than a multiple of 100.
- 350: $350 - 20 = 330$ (not multiple of 100)
- 420: $420 - 20 = 400$ (400 is multiple of 100)
- 490: $490 - 20 = 470$ (not multiple of 100)
So the number is 420.
# Answer: 420

### Question 7
# Explanation:
## Step1: List multiples of 60 between 400 and 600.
Multiples of 60: $60\times7 = 420$, $60\times8 = 480$, $60\times9 = 540$, $60\times10 = 600$ (too high). So possible multiples: 420, 480, 540.
## Step2: Check which is 40 away from a multiple of 100.
- 420: $420 - 40 = 380$ (not multiple of 100), $420 + 40 = 460$ (not multiple of 100)
- 480: $480 - 40 = 440$ (not multiple of 100), $480 + 40 = 520$ (not multiple of 100) Wait, maybe I made a mistake. Wait, 400 is a multiple of 100. $480 - 400 = 80$ no. Wait, 500 is a multiple of 100? No, 500 is multiple of 100. $540 - 500 = 40$. Ah, 540: $540 - 500 = 40$ (500 is multiple of 100). Also, 420: $400 + 20 = 420$ no. Wait, 480: $500 - 20 = 480$ no. Wait, let's re - check.
Wait, multiples of 60 between 400 and 600: 420 ($60\times7$), 480 ($60\times8$), 540 ($60\times9$).
Check the distance from multiple of 100:
- 420: distance from 400 is $420 - 400 = 20$, distance from 500 is $500 - 420 = 80$
- 480: distance from 400 is $480 - 400 = 80$, distance from 500 is $500 - 480 = 20$
- 540: distance from 500 is $540 - 500 = 40$, distance from 600 is $600 - 540 = 60$

Ah, 540 is 40 away from 500 (which is a multiple of 100). Also, 420: no, 480: no. Wait, also, 400 + 80 = 480, 500 - 20 = 480. Wait, maybe I made a mistake in the first approach. Wait, the problem says "40 away from a multiple of 100". So either $ \text{Number}-40 $ is multiple of 100 or $ \text{Number}+40 $ is multiple of 100.

For 420: $420 - 40 = 380$ (not multiple of 100), $420 + 40 = 460$ (not multiple of 100)
For 480: $480 - 40 = 440$ (not multiple of 100), $480 + 40 = 520$ (not multiple of 100)
For 540: $540 - 40 = 500$ (500 is multiple of 100). Yes! So 540 is 40 away from 500 (a multiple of 100). Also, is there another? Wait, 400 + 40 = 440 (not multiple of 60), 500 - 40 = 460 (not multiple of 60), 600 - 40 = 560 (not multiple of 60). Wait, 540 is correct. Wait, also, 420: no, 480: no. Wait, maybe I missed 400 - 40 = 360 (not in range), 500 + 40 = 540 (yes, 540 is multiple of 60). So the number is 540. Wait, but also, let's check 480: 480 is 80 away from 400 and 20 away from 500. 540 is 40 away from 500. So 540 is the answer. Wait, but let's re - calculate multiples of 60: 60×7 = 420, 60×8 = 480, 60×9 = 540, 60×10 = 600. Between 400 and 600, so 420, 480, 540. Now, check which is 40 away from a multiple of 100:

- 420: nearest multiples of 100 are 400 and 500. $|420 - 400| = 20$, $|500 - 420| = 80$
- 480: $|480 - 400| = 80$, $|500 - 480| = 20$
- 540: $|540 - 500| = 40$, $|600 - 540| = 60$

So 540 is 40 away from 500 (a multiple of 100). So the answer is 540. Wait, but also, is there another? Let's see, 400 + 40 = 440 (not multiple of 60), 500 - 40 = 460 (not multiple of 60), 600 - 40 = 560 (not multiple of 60). So only 540.
# Answer: 540

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QUESTION IMAGE

Question

Explanation:

Question 1

Step1: Recall multiples of 6.

Step2: Find multiples between 40 and 50.

Step1: Recall multiples of 30.

Step2: Identify from the list.

Step1: Recall multiples of 8.

Step2: Find multiples between 60 and 75.

Answer:

Question 2