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LCM/HCF + Divisibility Rules

Total questions: 16

Worksheet time: 14mins

Name
Class
Date
1.
Melanie and Martin are both building a toy train track out of connecting pieces. Melanie has pieces that are 8 inches long while Martin's pieces are 20 inches long.  How long will the shortest track be that they can each build with the same length?
a)
2
b)
40
c)
4
d)
20
2.
Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?
a)
48 seconds
b)
45 seconds
c)
16 seconds
d)
8 seconds
3.

Which are factor pairs of 45?

a)

1,45,5,9

b)

1,3,7,9

c)

5,7,8,9

d)

7,9,5,2

4.

•The HCF of X and Y is M. Which of these is true?

a)

M > X

b)

M > Y

c)

M = XY

d)

M < X

5.

Three bells toll together at the same time after the first bell stays quiet for 12 seconds, the second bell for 15 seconds and the third bell for 18 seconds. During a duration of 30 minutes, how many times will the three bells toll together?

a)

10

b)

11

c)

12

d)

15

6.

what is the divisibility rule for 4

a)

Last two numbers divisible by 4

b)

Last 3 numbers divisible by 4

c)

Add all of the digits and divide by 4

d)

Even number

7.

Which number is divisible by 6

a)

1782

b)

1213

c)

536

8.

Which number is divisible by 9

a)

345

b)

8522

c)

98874

9.

The divisibility rule for 11 is...

a)

Divide the whole thing by 11

b)

Multiply the digits together by 11

c)

If the difference of the sum of its digits in odd places and the sum of it digits in even places,(starting from the unit's place) is divisible by 11

d)

add the digits together. If the sum is divisible by 11, the original number is divisible by 11

10.

Is 9020814 is divisible by 11 or not

a)

Yes,it is divisible by 11

b)

No,it is not divisible by 11

11.
Eason is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
12.
Maya had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
13.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
a)
16th customer
b)
150th customer
c)
300th customer
d)
180th customer
14.
A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller.  Which caller will be the first to win both prizes?
a)
5
b)
2
c)
10
d)
120
15.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
16.
472 students are going on a field trip.  120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?
a)
4 cabins
b)
44 cabins
c)
59 cabins
d)
74 cabins