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Math Problems with LCM &GCF
Created by aylin_n
Fun Trivia : Quizzes : Specific Math Topics
"Can you solve these problems related to Lowest
Common Multiples and Greatest Common Factors?"
15 Points Per Correct Answer - No time limit
1.Mr. Brackett works in factory with his two sons. He is reallyhappy with his job because he gets to spend some time with his
beloved sons not only at home but also at work! He is allowed to
take a break every 140 minutes while his two sons are allowed to
take breaks in 210 minutes and 280 minutes. How many minutes
will they have to wait after their first break together to get
together again?
Answer: (Just
the number)
2.Ms.Rose is really into gardening and she dotes on her newyard. She has a rectangle-shaped garden full of beautiful flower
beds but she decides she needs more trees. She wants to plant
trees on every side and she would like to have them placed the
same distance from each other. If the long sides of her garden
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are each 24m long and the short sides each 18m long, what is
the fewest number of trees she should plant?
Answer: (Just
the number)
3.Mr. and Mrs. White are soon moving into their new home.They would like to have their bathroom floor tiled. The bathroom
is rectangle shaped and has sides 4.6m & 6m. What's the side of
the biggest square-shaped tile (in centimeters) that could be
used so that no space is left without tiles? (don't forget he can't
cut the tiles and disregard the grout for the tiles)
Answer: (Just
the number)
4.John, who is only 7, wants to be an architect when he growsup so his parents have built him a little shed in the backyard.
Today he has some bricks with which he is planning to make hismasterpiece! If his bricks have dimensions 10cm, 20cm and
25cm, what's the volume of the smallest cube (in cm3) he could
build using these bricks?
Answer: (Just
the number)
5.Ms.Walker is arranging her students into groups for the nextschool debate. When she groups them in 5s, 2 students are left
out. When she groups them in 4s, 1 student is left out. When she
groups them in 7s, 4 students are left out. What is the least
number of students Ms.Walker has?
Answer: (Just
the number)
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6.Mrs.Bell owns a small grocery store. She has just received 3sacks of sugar weighing 27kg, 36kg and 72kg and she wants to
put them in equal-sized bags before she sells them. What's the
least number of bags she would need if she doesn't want anysugar to be left without a bag?
Answer: (Just
the number)
7.When people joining a competition are grouped in 4s, 5s or6s, 1 person is left out each time. If we know that there are atleast 150 people joining the competition, what's least number of
people in this group?
Answer: (Just
the number)
8.Mrs.Flynn has baked 84 raisin cookies, 106 muffins and 128chocolate chip cookies, which all smell delicious! They smell so
good she would like to keep 4 raisin cookies, 6 muffins and 8
chocolate chip cookies for herself though she know she has to
cut down on sweets. She'll then put the rest into boxes with
equal numbers of each type. What would be the largest number
of cookies or muffins in each box?
Answer: (Justthe number)
9.Mrs.Stephens has just baked a fruit cake for her son'sbirthday party. The cake is shaped like a rectangular prism with
dimensions 6cm, 8cm and 10 cm. She would like to cut the cake
into equal sized cubes so that it's easier for the kids to eat it.
What's the least number of cubes she could get so that no part
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of the cake remains?
Answer: (Just
the number)
10.Ms.Pearl is shopping at a supermarket. She is getting thingsfor the sandwiches she is going to prepare for next Sunday's
picnic. She sees that hamburger buns come in packs of 8 but
the hamburgers themselves are in packages of 10. What's the
least number of packets she should get of each so that there are
no leftovers?
Answer: (write
the number of bun packets first, leave space and then the number
of hamburger packets)
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