Mathematics
Grade 6
15 min
Greatest and least - word problems - up to 100
Greatest and least - word problems - up to 100
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify keywords in word problems that indicate 'greatest' or 'least'.
Extract relevant numerical information from word problems involving numbers up to 100.
Compare a set of up to five two-digit numbers to determine the greatest value.
Compare a set of up to five two-digit numbers to determine the least value.
Solve word problems requiring the identification of the greatest or least number within the range of 1 to 100.
Articulate the reasoning behind their choice of greatest or least number.
Apply comparison strategies to real-world scenarios involving quantities up to 100.
Ever wondered who has the most marbles or which team scored the fewest points? 🤔 Finding the 'greatest' or 'least' helps us understand and...
2
Key Concepts & Vocabulary
TermDefinitionExample
GreatestThe largest in amount, size, or degree among a set of numbers or items.Among the numbers 25, 40, and 15, the greatest number is 40.
LeastThe smallest in amount, size, or degree among a set of numbers or items.Among the numbers 25, 40, and 15, the least number is 15.
Word ProblemA mathematical problem presented in a narrative or story format, requiring careful reading to identify the question and relevant information.If John has 30 apples and Mary has 20 apples, who has the greatest number of apples?
KeywordsSpecific words or phrases in a word problem that provide clues about what mathematical operation or concept is needed to solve it.Keywords for 'greatest' include 'most', 'maximum', 'highest'. Keywords for 'least...
3
Core Formulas
Identify Keywords for Comparison
Look for words like 'greatest', 'most', 'maximum', 'highest' to find the largest value. Look for 'least', 'fewest', 'minimum', 'lowest' to find the smallest value.
Understanding these keywords is the first step to correctly interpreting what the problem is asking you to find. Misinterpreting them can lead to solving for the opposite of what's required.
Comparison Principle for Greatest/Least
To find the greatest number among a set of numbers $N_1, N_2, ..., N_k$, identify the number $N_i$ such that $N_i > N_j$ for all $j
eq i$. To find the least number, identify $N_i$ such that $N_i < N_j$ for all $j
eq i$.
This rule states that the greatest number is...
5 more steps in this tutorial
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Challenging
In a science fair, five projects received scores out of 100. The scores were 87, 92, 78, 95, and 89. If a prize is given to the projects that scored 90 or more, what was the lowest score among the prize-winning projects?
A.78
B.87
C.92
D.95
Challenging
Four friends are collecting bottle caps. Anna has 78. Ben has the most, but he has fewer than 90. Chloe has 81. David has the least with 75. Which of the following could be the number of bottle caps Ben has?
A.79
B.81
C.89
D.91
Challenging
In a spelling bee, contestants are scored by the number of words they spell correctly. The final four contestants' scores were 45, 52, 38, and 49. The contestant with the greatest score wins. The contestant with the least score is eliminated. What is the score of the winner and the score of the eliminated contestant?
A.Winner: 49, Eliminated: 45
B.Winner: 52, Eliminated: 38
C.Winner: 52, Eliminated: 45
D.Winner: 49, Eliminated: 38
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