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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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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #61 : Plane Geometry

How many square units make up the area of the shape below?

Screen shot 2015 09 28 at 11.50.12 am

Possible Answers:

$14\textup { square units}$ $\displaystyle 14\textup { square units}$

$13\textup { square units}$ $\displaystyle 13\textup { square units}$

$12\textup { square units}$ $\displaystyle 12\textup { square units}$

$10\textup { square units}$ $\displaystyle 10\textup { square units}$

$11\textup { square units}$ $\displaystyle 11\textup { square units}$

Correct answer:

$10\textup { square units}$ $\displaystyle 10\textup { square units}$

Explanation:

The shape is made up of unit squares. We can count the number of squares within the shape to find the area.

There are $\displaystyle 10$ squares within the shape.

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Example Question #62 : Plane Geometry

How many square units make up the area of the shape below?

Screen shot 2015 09 28 at 11.50.32 am

Possible Answers:

$2\textup { square units}$ $\displaystyle 2\textup { square units}$

$3\textup { square units}$ $\displaystyle 3\textup { square units}$

$4\textup { square units}$ $\displaystyle 4\textup { square units}$

$1\textup { square unit}$ $\displaystyle 1\textup { square unit}$

$5\textup { square units}$ $\displaystyle 5\textup { square units}$

Correct answer:

$5\textup { square units}$ $\displaystyle 5\textup { square units}$

Explanation:

The shape is made up of unit squares. We can count the number of squares within the shape to find the area.

There are $\displaystyle 5$ squares within the shape.

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Example Question #1051 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the length of a rectangular room with a perimeter of 42ft $\displaystyle 42ft$ and a width of 7ft? $\displaystyle 7ft?$

Possible Answers:

18ft $\displaystyle 18ft$

14ft $\displaystyle 14ft$

28ft $\displaystyle 28ft$

12ft $\displaystyle 12ft$

22ft $\displaystyle 22ft$

Correct answer:

14ft $\displaystyle 14ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 42=2l+2(7)$

$\displaystyle 42=2l+14$

Subtract $\displaystyle 14$ from both sides

$\displaystyle 42-14=2l+14-14$

28=2l $\displaystyle 28=2l$

Divide $\displaystyle 2$ by both sides

$\frac{28}{2}=\frac{2l}{2}$ $\displaystyle \frac{28}{2}=\frac{2l}{2}$

14=l $\displaystyle 14=l$

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Example Question #2 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a rectangular room with a perimeter of 62ft $\displaystyle 62ft$ and a width of 8ft? $\displaystyle 8ft?$

Possible Answers:

23ft $\displaystyle 23ft$

38ft $\displaystyle 38ft$

46ft $\displaystyle 46ft$

37ft $\displaystyle 37ft$

40ft $\displaystyle 40ft$

Correct answer:

23ft $\displaystyle 23ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 62=2l+2(8)$

$\displaystyle 62=2l+16$

Subtract $\displaystyle 16$ from both sides

$\displaystyle 62-16=2l+16-16$

46=2l $\displaystyle 46=2l$

Divide $\displaystyle 2$ by both sides

$\frac{46}{2}=\frac{2l}{2}$ $\displaystyle \frac{46}{2}=\frac{2l}{2}$

23=l $\displaystyle 23=l$

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Example Question #3 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a rectangular room with a perimeter of 92ft $\displaystyle 92ft$ and a width of 21ft? $\displaystyle 21ft?$

Possible Answers:

45ft $\displaystyle 45ft$

25ft $\displaystyle 25ft$

30ft $\displaystyle 30ft$

40ft $\displaystyle 40ft$

50ft $\displaystyle 50ft$

Correct answer:

25ft $\displaystyle 25ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 92=2l+2(21)$

$\displaystyle 92=2l+42$

Subtract $\displaystyle 42$ from both sides

$\displaystyle 92-42=2l+42-42$

50=2l $\displaystyle 50=2l$

Divide $\displaystyle 2$ by both sides

$\frac{50}{2}=\frac{2l}{2}$ $\displaystyle \frac{50}{2}=\frac{2l}{2}$

25=l $\displaystyle 25=l$

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Example Question #123 : Measurement & Data

What is the length of a rectangular room with a perimeter of 59ft $\displaystyle 59ft$ and a width of 17ft? $\displaystyle 17ft?$

Possible Answers:

15.5ft $\displaystyle 15.5ft$

25ft $\displaystyle 25ft$

12.5ft $\displaystyle 12.5ft$

12ft $\displaystyle 12ft$

15ft $\displaystyle 15ft$

Correct answer:

12.5ft $\displaystyle 12.5ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 59=2l+2(17)$

$\displaystyle 59=2l+34$

Subtract $\displaystyle 34$ from both sides

$\displaystyle 59-34=2l+134-34$

25=2l $\displaystyle 25=2l$

Divide $\displaystyle 2$ by both sides

$\frac{25}{2}=\frac{2l}{2}$ $\displaystyle \frac{25}{2}=\frac{2l}{2}$

12.5=l $\displaystyle 12.5=l$

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Example Question #1052 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the length of a rectangular room with a perimeter of 66ft $\displaystyle 66ft$ and a width of 18ft? $\displaystyle 18ft?$

Possible Answers:

15ft $\displaystyle 15ft$

12ft $\displaystyle 12ft$

11ft $\displaystyle 11ft$

14ft $\displaystyle 14ft$

13ft $\displaystyle 13ft$

Correct answer:

15ft $\displaystyle 15ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 66=2l+2(18)$

$\displaystyle 66=2l+36$

Subtract $\displaystyle 36$ from both sides

$\displaystyle 66-36=2l+36-36$

30=2l $\displaystyle 30=2l$

Divide $\displaystyle 2$ by both sides

$\frac{30}{2}=\frac{2l}{2}$ $\displaystyle \frac{30}{2}=\frac{2l}{2}$

15=l $\displaystyle 15=l$

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Example Question #125 : Measurement & Data

What is the length of a rectangular room with a perimeter of 60ft $\displaystyle 60ft$ and a width of 14ft? $\displaystyle 14ft?$

Possible Answers:

16ft $\displaystyle 16ft$

30ft $\displaystyle 30ft$

18ft $\displaystyle 18ft$

26ft $\displaystyle 26ft$

32ft $\displaystyle 32ft$

Correct answer:

16ft $\displaystyle 16ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 60=2l+2(14)$

$\displaystyle 60=2l+28$

Subtract $\displaystyle 28$ from both sides

$\displaystyle 60-28=2l+28-28$

32=2l $\displaystyle 32=2l$

Divide $\displaystyle 2$ by both sides

$\frac{32}{2}=\frac{2l}{2}$ $\displaystyle \frac{32}{2}=\frac{2l}{2}$

16=l $\displaystyle 16=l$

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Example Question #1053 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the length of a rectangular room with a perimeter of 40ft $\displaystyle 40ft$ and a width of 6ft? $\displaystyle 6ft?$

Possible Answers:

28ft $\displaystyle 28ft$

32ft $\displaystyle 32ft$

14ft $\displaystyle 14ft$

16ft $\displaystyle 16ft$

18ft $\displaystyle 18ft$

Correct answer:

14ft $\displaystyle 14ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 40=2l+2(6)$

$\displaystyle 40=2l+12$

Subtract $\displaystyle 12$ from both sides

$\displaystyle 40-12=2l+12-12$

28=2l $\displaystyle 28=2l$

Divide $\displaystyle 2$ by both sides

$\frac{28}{2}=\frac{2l}{2}$ $\displaystyle \frac{28}{2}=\frac{2l}{2}$

14=l $\displaystyle 14=l$

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Example Question #3 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a rectangular room with a perimeter of 96ft $\displaystyle 96ft$ and a width of 30ft? $\displaystyle 30ft?$

Possible Answers:

19ft $\displaystyle 19ft$

20ft $\displaystyle 20ft$

24ft $\displaystyle 24ft$

22ft $\displaystyle 22ft$

18ft $\displaystyle 18ft$

Correct answer:

18ft $\displaystyle 18ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 96=2l+2(30)$

$\displaystyle 96=2l+60$

Subtract $\displaystyle 60$ from both sides

$\displaystyle 96-60=2l+60-60$

36=2l $\displaystyle 36=2l$

Divide $\displaystyle 2$ by both sides

$\frac{36}{2}=\frac{2l}{2}$ $\displaystyle \frac{36}{2}=\frac{2l}{2}$

18=l $\displaystyle 18=l$

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All ISEE Lower Level Quantitative Resources

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

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #61 : Plane Geometry

Example Question #62 : Plane Geometry

Example Question #1051 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #2 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

Example Question #3 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

Example Question #123 : Measurement & Data

Example Question #1052 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #125 : Measurement & Data

Example Question #1053 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #3 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

All ISEE Lower Level Quantitative Resources

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