Same pattern as Pencils — boxes of 6 leave some over, boxes of 8 fall short. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
A teacher shares a bag of sweets among her class group. If she gives each child 3 sweets, there are 6 sweets left over. If she gives each child 6 sweets, she is 6 sweets short. How many children are in the group?
Work it out on paper, then check below. ▶ See the working
Question 2
A teacher shares a bag of sweets among her class group. If she gives each child 3 sweets, there are 4 sweets left over. If she gives each child 5 sweets, she is 10 sweets short. How many children are in the group?
Work it out on paper, then check below. ▶ See the working
Question 3
Mr Chan hands out stickers to the pupils who finished early. If each pupil gets 5 stickers, there are 6 stickers left over. If each pupil gets 7 stickers, he is 4 stickers short. How many stickers does he have?
Work it out on paper, then check below. ▶ See the working
Question 4
Mr Chan hands out stickers to the pupils who finished early. If each pupil gets 5 stickers, there are 2 stickers left over. If each pupil gets 6 stickers, he is 3 stickers short. How many pupils finished early?
Work it out on paper, then check below. ▶ See the working
Question 5
Mr Chan hands out stickers to the pupils who finished early. If each pupil gets 4 stickers, there are 2 stickers left over. If each pupil gets 6 stickers, he is 14 stickers short. How many pupils finished early?
Work it out on paper, then check below. ▶ See the working
Question 6
Mr Chan hands out stickers to the pupils who finished early. If each pupil gets 4 stickers, there are 4 stickers left over. If each pupil gets 5 stickers, he is 5 stickers short. How many stickers does he have?
Work it out on paper, then check below. ▶ See the working
Question 7
After a beach cleanup, the nature club leader shares a bag of seashells among the volunteers as souvenirs. If she gives each volunteer 2 seashells, there are 2 seashells left over. If she gives each volunteer 4 seashells, she is 6 seashells short. How many volunteers joined the cleanup?
Work it out on paper, then check below. ▶ See the working
Question 8
The CCA teacher shares a box of badge pins among the members who joined this year. If she gives each member 6 badge pins, there are 6 badge pins left over. If she gives each member 9 badge pins, she is 18 badge pins short. How many badge pins are in the box?
Work it out on paper, then check below. ▶ See the working
Question 9
The school storekeeper shares a box of notebooks among the prefects for the new term. If he gives each prefect 6 notebooks, there are 4 notebooks left over. If he gives each prefect 7 notebooks, he is 5 notebooks short. How many prefects are there?
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Question 10
Before the National Day parade, the NCC captain shares a box of flags among the cadets. If each cadet gets 5 flags, there are 8 flags left over. If each cadet gets 6 flags, he is 4 flags left over. How many flags are in the box?
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Question 11
At recess, the canteen uncle shares a plate of fish balls among the students in the queue. If he gives each student 5 fish balls, there are 3 fish balls left over. If he gives each student 6 fish balls, he is 3 fish balls short. How many students are in the queue?
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Question 12
The form teacher shares a box of erasers among the class monitors as a reward. If she gives each monitor 5 erasers, there are 5 erasers left over. If she gives each monitor 6 erasers, she is 2 erasers short. How many class monitors are there?
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Question 13
A tray of buns is shared among the helpers at a carnival stall. If each helper takes 4 buns, there are 7 buns left over. If each helper takes 6 buns, they are 3 buns short. How many helpers are there?
Work it out on paper, then check below. ▶ See the working
Question 14
The school librarian shares a box of bookmarks among the borrowers who returned their books on time. If she gives each borrower 5 bookmarks, there are 6 bookmarks left over. If she gives each borrower 7 bookmarks, she is 14 bookmarks short. How many borrowers are there, and how many bookmarks?
Work it out on paper, then check below. ▶ See the working