Even Number: Problem Solving & Reasoning
Mathematics
Grade 7
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying, working with, and applying properties of even numbers in various contexts for Grade 7 students.
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Even Number: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Review the concept of even numbers: numbers divisible by 2 with no remainder. Use this property to solve the following questions.
1.
What is the definition of an even number?
[2 marks]2.
List all even numbers between 10 and 20.
[3 marks]3.
Identify the even numbers in the set {3, 4, 7, 8, 11, 14}.
[2 marks]B
Fluency & Practice
Calculate or identify properties of even numbers to strengthen procedural mastery.
1.
Add the first five even numbers starting from 2.
[3 marks]2.
What is the 10th even number?
[2 marks]3.
Is the number 35 even or odd? Justify your answer.
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step problems involving even numbers and explain your reasoning.
1.
A classroom has 24 students. If 2 students are chosen at random, what is the probability that both are wearing even-numbered jersey numbers? Explain your reasoning.
[4 marks]2.
In a sequence of numbers from 1 to 50, how many even numbers are there? How does this help in finding the median?
[3 marks]3.
Explain why the median of an even set of numbers is calculated by averaging the two middle numbers.
[4 marks]D
Real-world Applications
Apply your understanding of even numbers to real-life scenarios.
1.
A farmer has 48 apples. He wants to pack them into boxes with an even number of apples in each. What are some possible numbers of apples per box? Explain your reasoning.
[4 marks]2.
A school is arranging seats in rows of even numbers. If there are 120 seats, in how many ways can they be arranged into rows? List some possibilities.
[4 marks]E
Challenge & Extension
Tackle these more difficult problems for extended understanding.
1.
Find three consecutive even numbers whose sum is 54. Show your working.
[4 marks]2.
If an even number is doubled and then increased by 6, the result is 22. Find the original number.
[3 marks]F
Mixed Review & Error Analysis
Answer these variety of questions and analyze common mistakes.
1.
Identify the mistake in this statement: 'All even numbers are divisible by 4.'
[2 marks]2.
Find the next three even numbers after 52.
[2 marks]3.
What is the median of the set {2, 4, 6, 8, 10, 12}? Show your working.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet