Math Drills
Excess and Shortage Problems
3Word Problems
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What this worksheet covers
- Worksheet
- Excess and Shortage Problems
In scenes handing colored paper or sweets out to a number of people, the number of people is found from the leftover and the shortfall when the amount per person is changed in two ways. There are questions answering the number of people alone and questions going on to the total number of things handed out, and the answer boxes carry the name of the recipients or of the things.
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In the questions reaching the total, the hand stops after multiplying the number of people by the amount for one, and the step of adding the leftover or subtracting the shortfall goes missing. The total comes out the same figure whichever of the two ways of handing out it is calculated from. Work the figure found by one way through the other way as well, and a disagreement means the final adding or subtracting was dropped somewhere.
Where Multiple and Difference/Sum Word Problems leaned on a relation between two amounts, the clue here is the gap between a leftover and a shortfall when the handing out is shifted. Tracing back a box set in an expression to settle a figure comes to a pause with this lesson.
- Basics3 questions
- Number of People + Total2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Various Word Problems”, shown with their answers.
(1)You divide origami sheets among some children. If you give 4 to each 1 child, 9 are left over; if you give 6 each, you are 3 short. How many children are there? Answer □
Answer: 6people
(2)You want to share erasers among some children. If you give 3 to each 1 child, 7 are left over; if you give 4 each, 2 are left over. How many children are there? Answer □
Answer: 5people
(3)You divide peaches among some children. If you give 5 to each 1 child, 3 are left over; if you give 7 each, you are 9 short. How many children are there? Answer □
Answer: 6people
(4)You want to share flowers among some children. If you give 4 each to 1 child, you are 7 short; if you give 2 each, 11 are left over. How many children are there? And How many flowers are there? Children □ Flowers □
Answer: 9people, 29flowers
(5)You want to share marbles among some children. If you give 4 each to 1 child, you are 14 short; if you give 2 each, 6 are left over. How many children are there? And How many marbles are there? Children □ Marbles □
Answer: 10people, 26marbles
What to do next
More worksheets in this unit
Expressions Using a BoxExpressions Using a Box Word Problems (Multiplication, Division)
Multiple and Difference/Sum Word ProblemsMultiple and Difference/Sum Word Problems Word Problems (Multiples and Difference)
Multiple and Difference/Sum Word ProblemsMultiple and Difference/Sum Word Problems Word Problems (Multiples and Total)
