MATHEMATICS
1. Test the divisibility
a) Which of the following numbers are divisible by 2
540810, 542314, 32027, 3952
b) Which of the following numbers are divisible by 2
4845, 46180, 62158, 8971
c) Which of the following numbers are divisible by 3
692, 3480, 936, 7252
d) Which of the following numbers are divisible by 3
308, 843, 1380, 7591
e) Which of the following numbers are divisible by 5
865, 15784, 2500, 54314
f) Which of the following numbers are divisible by 5
5486, 54810, 46710, 71088
g) Which of the following numbers are divisible by 10
36443, 1085, 40810, 1480
h) Which of the following numbers are divisible by 10
3952, 37026, 600, 500
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2. Find the first 6 multiples of each of these numbers, then find the common
multiples and then the least common multiple
Numbers Multiples Common
Multiples
LCM
5, 7
4, 8
9, 12
3, 6, 9
3. Find the sum of the 3rd multiple of 15 and the 5th multiple of 16.
4. Find the difference between the 9th multiple of 14 and the 6th multiple of
17.
5. Find the sum of the 6th multiple of 18 and 4th multiple of 19
6. Find the difference between the 8th multiple of 18 and the 6th multiple of 16
7. Find the common factors of the following
a) 16, 20
b) 28, 36
c) 48, 72
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d) 63, 81
8. Find the Prime factors of the following using the factor tree method. List
the prime factors.
a. 72 b. 66
c. 115 d. 96
9. Find the Greatest or highest common factors of the following (GCF or
HCF)
a. 96, 84 b. 72, 56
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c. 105, 112 d. 225, 195
10. Three bells of a temple began ringing at the same time. The first bell rings
after every 30 minutes, the second bell rings after every 45 minutes, and
the third one rings after every hour. At what time interval will all the bells
ring at the same time?
11. A certain number of vegetables can be arranged in groups of 3, 4, 6 or 8
with no vegetables left ungrouped. Find the least number of vegetables
12. Payal has 10 black dresses, 15 blue dresses, 35 red dresses. What is the
greatest number of rows possible if each row has all three kinds of dresses
and all the rows have the same number of dresses?
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Answers
Answer:
1. a) 540810, 542314 and 3952
b) 46180 and 62158
c) 3480 and 936
d) 843and 1380
e) 865 and 2500
f) 54810 and 46710
g) 1085, 40810 and 1480
h) 600 and 500
2. a) 35
b) 8
c) 36
d)
Answer:
Step-by-step explanation:
1) a ) 540810, 542314 and 3952.
b) 46180, 62158.
c) 3480, 936.
d) 843,7591.
e) 865 , 2500.
f) 54810,46710.
g) 40810,1480.
h) 600, 500.
2)a) 5 , 7
First 6 multiples of 5 = 5, 10, 15, 20, 25, 30.
First 6 multiples of 7 = 7, 14, 21, 28, 35, 42.
5 and 7 have no common multiples except 1.
L.C.M. of 5 and 7 is 35.
b) 4, 8
First 6 multiples of 4 = 4, 8, 12, 16, 20 and 24.
First 6 multiples of 8 = 8, 16 , 24, 32, 40 and 48
Common multiples of 4 and 8 are 8, 16 and 24.
L.C.M. of 4 and 8 is 8.
c) 9, 12
First 6 multiples of 9 = 9, 18, 27, 36, 45 and 54.
First 6 multiples of 12 = 12, 24, 36, 48 ,60 and 72.
Common multiples of 9 and 12 is 36.
L.C.M. of 9 and 12 is 36.
d) 3, 6, 9
First 6 multiples of 3 = 3, 6, 9, 12, 15 and 18.
First 6 multiples of 6 = 6, 12, 18, 24, 30 and 36.
First 6 multiples of 9 = 9, 18, 27, 36, 45 and 54.
Common multiples of 3, 6, 9 is 18.
L.C.M. of 3, 6 and 9 is 18.