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Grade 7 Challenge: Logic & Reasoning Problems Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 7: Going FurtherChallenge PuzzlesChallenge

Classic reasoning puzzles — ages, heads and legs, consecutive numbers — that reward careful thinking. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Challenge: Logic & Reasoning Problems

Grade 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Challenge Puzzles

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

A farm has chickens and cows. There are 12 heads and 30 legs. How many cows are there?

Answer: 3

1
Three consecutive whole numbers add up to 93. What is the smallest number?
Show your work
Answer
2
10 people each shake hands once with every other person. How many handshakes are there?
Show your work
Answer
3
12 people each shake hands once with every other person. How many handshakes are there?
Show your work
Answer
4
7 people each shake hands once with every other person. How many handshakes are there?
Show your work
Answer
5
9 people each shake hands once with every other person. How many handshakes are there?
Show your work
Answer
6
A snail climbs 7 feet up a wall each day and slides back 1 foot each night. The wall is 22 feet tall. On which day does it reach the top?
Show your work
Answer
7
Three consecutive whole numbers add up to 105. What is the smallest number?
Show your work
Answer
8
A snail climbs 4 feet up a wall each day and slides back 1 foot each night. The wall is 13 feet tall. On which day does it reach the top?
Show your work
Answer
9
A pen and a notebook cost $26 together. The notebook costs $8 more than the pen. How much does the pen cost?
Show your work
Answer
10
A snail climbs 6 feet up a wall each day and slides back 1 foot each night. The wall is 19 feet tall. On which day does it reach the top?
Show your work
Answer
11
A snail climbs 5 feet up a wall each day and slides back 1 foot each night. The wall is 16 feet tall. On which day does it reach the top?
Show your work
Answer
12
Sam is 8 years older than Kenji. Together their ages add up to 28. How old is Kenji?
Show your work
Answer

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/challenge_logic

Answer key (click to show)

1.30
2.45
3.66
4.21
5.36
6.day 4
7.34
8.day 4
9.$9
10.day 4
11.day 4
12.10

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How to use this worksheet

Works well as a bell-ringer, exit ticket, homework set or quick quiz.
Have students self-check with the answer key, then correct their own mistakes before you review.
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Guides for teaching Challenge: Logic & Reasoning Problems

How to Solve Math Word Problems: A 4-Step MethodRead, plan, solve, check — a simple routine for any word problem, with worked examples and the keyword trap to avoid.

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Frequently asked questions

Does this Grade 7 Challenge: Logic & Reasoning Problems worksheet come with answers?

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