WorksheetsMy Notes
Total questions: 60
Worksheet time: 41mins
Find the HCF of 12 and 16...
2
4
6
8
Which of the following is a correct set of non-prime factors for 80?
24 x 5
20 x 4
23 x 52
52 x 23
64 written in expanded notation is?
25
26
2 x 2 x 2 x 2 x 2 x 2
2 x 2 x 2 x 2 x 2
What is the prime factorization of 150 in index notation?
2 x 3 x 5 x 5
2 x 32 x 5
2 x 3 x 52
2 x 3 x 3 x 5
The following are the ways on how to get the greatest common factor of two numbers EXCEPT....
Listing Method
Decomposition Method
Prime Factorization
Order of Operations
Decomposition Method can also be called as _______.
Continuous Division
Continuous Multiplication
Continuous Addition
Continuous Subtraction
Write 450 as the product of it's prime factors...
Write your answer in index form...
22 x 32 x 5
2 x 3 x 3 x 5 x 5
2 x 2 x 3 x 3 x 5
2 x 32 x 52
Write 144 as the product of it's prime factors...
23 x 32
2 x 2 x 2 x 3 x 3
2 x 2 x 2 x 2 x 3 x 3
24 x 32
Write 196 as the product of it's prime factors...
Write your answer in index form...
2 x 2 x 2 x 7 x 7
22 x 72
2 x 2 x 7 x 7
23 x 72
Find the least common multiple of 13 and 39
52
39
45
24
Find the greatest common divisor.
(3b, 9b)
3
3b
9
9b
Find the greatest common divisor.
(18m, 24m)
3m
6m
9m
6
Find the greatest common divisor.
(6a, 12)
2
2a
3a
6
Find the HCF of 12 and 16...
2
4
6
8
Find the HCF of 8 and 24 ...
2
4
6
8
Number 27 is both ...
even and composite
odd and composite and a cube number
even and prime
odd and prime
What is the greatest common factor of the monomials a2b5 and a3b3
a2b3
a2b5
a3b3
a3b5
What is the GCF of 18k and 15k3 ?
3k2
3k3
3k
5k
I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?
(a)
a) A number is divisible by 9, if it is divisible by 3.
b) A number is divisible by 6, if it is divisible by 12.
(a) is true but (b) is false
(a) is false and (b) is true
Both (a) and (b) are true
Bothe (a) and (b) are false
I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?
(a)
a) A number is divisible by 9, if it is divisible by 3.
b) A number is divisible by 6, if it is divisible by 12.
(a) is true but (b) is false
(a) is false and (b) is true
Both (a) and (b) are true
Bothe (a) and (b) are false
If 𝑎=𝑞𝑏 for some integers q and 𝑎,𝑏≠0 then we say that
b divides a
a is a multiple of b
b is a factor of a
All of these
In Fibonacci sequence, the gcd(Fn+1, Fn)=____
0
1
2
3
If gcd(a, b) = 1 for any two integers a and b, then a and b are _________
(a). Relatively Prime
(b). Co-prime
(c). Multiples of each other
(d). Both a and b
The greatest common divisor of a and b is the ______ linear combination of a and b
Smallest positive
Smallest negative
Largest positive
Only positive
If 𝑎=𝑞𝑏+𝑟, then
gcd(a, b) ≠ gcd(b, r)
gcd(a, b) = gcd(q, r)
gcd(a, b) = gcd(b, r)
None of these
A florist has 36 roses, 27 orchids, and 18 daisies to make bouquets. What is the greatest number of bouquets that can be made without having any flowers left over? How many flowers of each kind will there be in each bouquet?
There will be 9 bouquets with 4 roses, 3 orchids and 2 daisies.
There will be 4 bouquets with 9 roses, 3 orchids and 2 daisies.
There will be 3 bouquets with 4 roses, 9 orchids and 2 daisies.
There will be 2 bouquets with 4 roses, 3 orchids and 9 daisies.
Three pieces of timber, 28 meters, 36 meters, and 48 meters long, have to be divided into pieces of the same length. What is the greatest possible length of each piece? How many pieces each?
The greatest possible length of each piece is 7 meters. In 28 meters, 4 pieces. In 36 meters, 9 pieces. In 48 meters, 12 pieces.
The greatest possible length of each piece is 9 meters. In 28 meters, 7 pieces. In 36 meters, 4 pieces. In 48 meters, 12 pieces.
The greatest possible length of each piece is 12 meters. In 28 meters, 7 pieces. In 36 meters, 9 pieces. In 48 meters, 4 pieces.
The greatest possible length of each piece is 4 meters. In 28 meters, 7 pieces. In 36 meters, 9 pieces. In 48 meters, 12 pieces.
Edwin and his five friends decide to share a packet of 15 cookies. What is the least number of packets that Tom has to buy, so that each of them will get the same number of packets with no left over?
Edwin has to buy 15 packets of cookies.
Edwin has to buy 20 packets of cookies.
Edwin has to buy 30 packets of cookies.
Edwin has to buy 35 packets of cookies.
What is the least number of students needed so that they can be arranged equally in rows of 15, 20, or 25?
The least number of students needed is 60.
The least number of students needed is 100.
The least number of students needed is 150.
The least number of students needed is 250.
What is the smallest number that is divisible by
5, 6 and 15?
The smallest number that is divisible by 5, 6 and 15 is 30.
The smallest number that is divisible by 5, 6 and 15 is 15.
The smallest number that is divisible by 5, 6 and 15 is 6.
The smallest number that is divisible by 5, 6 and 15 is 5.
Sara 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?
2
4
8
28
The prime factorization of 11,220 is 5 x A x B x C x 3 x 11. What is the sum of A + B + C
23
21
15
31
Using the Euclidian algorithm find the gcd (3638,3587)
3
15
17
13
Using the Euclidian algorithm find the gcd (3638,3587)
3
15
17
13
Extended Euclidean algorithm is used to compute the greatest common divisor GCD.
True
False
1.The Grade VI class of Mr. Jetro has 24 boys and 30 girls. He has to group the pupils such that they will have the same number of members in a group. What is the greatest number of pupils each group can have?
(a)
It is an odd number.
MJ went to mall and saw vehicles at the parking lot with 2 wheels and 4 wheels. He counted the wheels, When he came home he told his dad that the vehicles he had seen had a total of 28 wheels. His dad asked how many vehicles had 2 wheels and how many vehicles had 4 wheels. What was MJ's response?
2 vehicles with 2 wheels and 6 vehicles with 4 wheels
4 vehicles with 2 wheels and 5 vehicles with 4 wheels
6 vehicles with 2 wheels and 4 vehicles with 4 wheels
8 vehicles with 2 wheels and 3 vehicles with 4 wheels
There were a total of 126 cars and motorcycles in a car park and there where 446 wheels together. How many motorcycles were there in the car park?
(a)
Solve the linear Diophantine equation 858 x + 253 y = 33.
(a)
Find all integer solutions to: 258x + 147y = 369.
(a)
Solve the linear Diophantine equation: 60x + 33y = 9.
(a)
Which is NOT TRUE in the LDE, 51x+1008y=177?
gcd(51,177)=3
there is no solution
there is a solution
x0= -4661
The LDE ax+by = c is solvable if and only if
d|a, where d=(a,b)
d|b, where d=(a,b)
d|c, where d=(a,b)
None of the above
Which is true for the LDE 51x+1008y=689?
There is a solution because 3 divides 3
There is no solution because 3 does not divide 689
There is no solution since 3 divides 51
There is a solution since 689 is not divisible with 3
What is the initial solutions of 18x+11y=1188?
x0= -3564 y0= 5940
x0= 3564 y0= -5940
x0= 5940 y0= -3564
x0= -5940 y0= 3564
