ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #252 : Measurement & Data

Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is \(\displaystyle 6ft\) by \(\displaystyle 4ft?\)

 

Possible Answers:

\(\displaystyle 22ft\)

\(\displaystyle 21ft\)

\(\displaystyle 24ft\)

\(\displaystyle 23ft\)

\(\displaystyle 20ft\)

Correct answer:

\(\displaystyle 20ft\)

Explanation:

The fence is going around the garden, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(6)+2(4)\)

\(\displaystyle P=12+8\)

\(\displaystyle P=20\)

Example Question #251 : Measurement & Data

Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is \(\displaystyle 4ft\) by \(\displaystyle 2ft?\)

 

Possible Answers:

\(\displaystyle 11ft\)

\(\displaystyle 14ft\)

\(\displaystyle 13ft\)

\(\displaystyle 10ft\)

\(\displaystyle 12ft\)

Correct answer:

\(\displaystyle 12ft\)

Explanation:

The fence is going around the garden, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(4)+2(2)\)

\(\displaystyle P=8+4\)

\(\displaystyle P=12\)

Example Question #81 : How To Find Perimeter

Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is \(\displaystyle 9ft\) by \(\displaystyle 9ft?\)

 

Possible Answers:

\(\displaystyle 35ft\)

\(\displaystyle 36ft\)

\(\displaystyle 32ft\)

\(\displaystyle 33ft\)

\(\displaystyle 34ft\)

Correct answer:

\(\displaystyle 36ft\)

Explanation:

The fence is going around the garden, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(9)+2(9)\)

\(\displaystyle P=18+18\)

\(\displaystyle P=36\)

Example Question #82 : How To Find Perimeter

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 10ft\) by \(\displaystyle 2ft?\)

 

Possible Answers:

\(\displaystyle 25ft\)

\(\displaystyle 27ft\)

\(\displaystyle 24ft\)

\(\displaystyle 26ft\)

\(\displaystyle 28ft\)

Correct answer:

\(\displaystyle 24ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(10)+2(2)\)

\(\displaystyle P=20+4\)

\(\displaystyle P=24\)

Example Question #83 : How To Find Perimeter

David wants to put a fence around a garden in his backyard. How much fencing will he need if his garden is \(\displaystyle 5ft\) by \(\displaystyle 4ft?\)

Possible Answers:

\(\displaystyle 9ft\)

\(\displaystyle 17ft\)

\(\displaystyle 20ft\)

\(\displaystyle 18ft\)

\(\displaystyle 16ft\)

Correct answer:

\(\displaystyle 18ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(5)+2(4)\)

\(\displaystyle P=10+8\)

\(\displaystyle P=18\)

Example Question #84 : How To Find Perimeter

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 5ft\) by \(\displaystyle 3ft?\)

 

Possible Answers:

\(\displaystyle 18ft\)

\(\displaystyle 14ft\)

\(\displaystyle 17ft\)

\(\displaystyle 15ft\)

\(\displaystyle 16ft\)

Correct answer:

\(\displaystyle 16ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(5)+2(3)\)

\(\displaystyle P=10+6\)

\(\displaystyle P=16\)

Example Question #252 : Measurement & Data

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 8ft\) by \(\displaystyle 4ft?\)

 

Possible Answers:

\(\displaystyle 21ft\)

\(\displaystyle 22ft\)

\(\displaystyle 24ft\)

\(\displaystyle 25ft\)

\(\displaystyle 23ft\)

Correct answer:

\(\displaystyle 24ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(8)+2(4)\)

\(\displaystyle P=16+8\)

\(\displaystyle P=24\)

Example Question #85 : How To Find Perimeter

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 9ft\) by \(\displaystyle 2ft?\)

 

Possible Answers:

\(\displaystyle 22ft\)

\(\displaystyle 18ft\)

\(\displaystyle 21ft\)

\(\displaystyle 20ft\)

\(\displaystyle 19ft\)

Correct answer:

\(\displaystyle 22ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(9)+2(2)\)

\(\displaystyle P=18+4\)

\(\displaystyle P=22\)

Example Question #91 : Plane Geometry

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 10ft\) by \(\displaystyle 5ft?\)

 

Possible Answers:

\(\displaystyle 30ft\)

\(\displaystyle 26ft\)

\(\displaystyle 29ft\)

\(\displaystyle 28ft\)

\(\displaystyle 27ft\)

Correct answer:

\(\displaystyle 30ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(10)+2(5)\)

\(\displaystyle P=20+10\)

\(\displaystyle P=30\)

Example Question #87 : How To Find Perimeter

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 8ft\) by \(\displaystyle 8ft?\)

 

Possible Answers:

\(\displaystyle 37ft\)

\(\displaystyle 36ft\)

\(\displaystyle 34ft\)

\(\displaystyle 32ft\)

\(\displaystyle 33ft\)

Correct answer:

\(\displaystyle 32ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(8)+2(8)\)

\(\displaystyle P=16+16\)

\(\displaystyle P=32\)

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