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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #18 : Plane Geometry

Hexagon HEXGON and Square SQUA both have perimeter 64. Which is the greater quantity?

(a)

(b)

Possible Answers:

(b) is the greater quantity

(a) is the greater quantity

(a) and (b) are equal

It is impossible to determine which is greater from the information given

Correct answer:

It is impossible to determine which is greater from the information given

Explanation:

The length of one side of the square - in particular, that of $\overline{SQ}$ - is equal to one fourth its perimeter, so it can be determined that $SQ = 64 \div 4 = 16$ . However, no relation among the sides of the hexagon is given - in particular, it is not given that the hexagon is regular - so the length of $\overline{HE}$ cannot be determined. Insufficient information is given.

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Example Question #1 : 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 42ft and a width of 7ft?

Possible Answers:

18ft

14ft

12ft

28ft

22ft

Correct answer:

14ft

Explanation:

P=2l+ 2w

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

42=2l+2(7)

42=2l+14

Subtract from both sides

42-14=2l+14-14

28=2l

Divide by both sides

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

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 and a width of 8ft?

Possible Answers:

38ft

40ft

23ft

37ft

46ft

Correct answer:

23ft

Explanation:

P=2l+ 2w

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

62=2l+2(8)

62=2l+16

Subtract from both sides

62-16=2l+16-16

46=2l

Divide by both sides

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

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 and a width of 21ft?

Possible Answers:

50ft

45ft

40ft

30ft

25ft

Correct answer:

25ft

Explanation:

P=2l+ 2w

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

92=2l+2(21)

92=2l+42

Subtract from both sides

92-42=2l+42-42

50=2l

Divide by both sides

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

25=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 59ft and a width of 17ft?

Possible Answers:

15ft

25ft

12ft

15.5ft

12.5ft

Correct answer:

12.5ft

Explanation:

P=2l+ 2w

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

59=2l+2(17)

59=2l+34

Subtract from both sides

59-34=2l+134-34

25=2l

Divide by both sides

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

12.5=l

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Example Question #4 : 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 66ft and a width of 18ft?

Possible Answers:

13ft

11ft

12ft

15ft

14ft

Correct answer:

15ft

Explanation:

P=2l+ 2w

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

66=2l+2(18)

66=2l+36

Subtract from both sides

66-36=2l+36-36

30=2l

Divide by both sides

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

15=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 60ft and a width of 14ft?

Possible Answers:

16ft

30ft

26ft

32ft

18ft

Correct answer:

16ft

Explanation:

P=2l+ 2w

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

60=2l+2(14)

60=2l+28

Subtract from both sides

60-28=2l+28-28

32=2l

Divide by both sides

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

16=l

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Example Question #4 : 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 40ft and a width of 6ft?

Possible Answers:

16ft

18ft

14ft

32ft

28ft

Correct answer:

14ft

Explanation:

P=2l+ 2w

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

40=2l+2(6)

40=2l+12

Subtract from both sides

40-12=2l+12-12

28=2l

Divide by both sides

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

14=l

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Example Question #8 : 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 and a width of 30ft?

Possible Answers:

19ft

22ft

20ft

18ft

24ft

Correct answer:

18ft

Explanation:

P=2l+ 2w

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

96=2l+2(30)

96=2l+60

Subtract from both sides

96-60=2l+60-60

36=2l

Divide by both sides

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

18=l

Report an Error

Example Question #9 : 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 90ft and a width of 12ft

Possible Answers:

66ft

22ft

55ft

33ft

44ft

Correct answer:

33ft

Explanation:

P=2l+ 2w

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

90=2l+2(12)

90=2l+24

Subtract from both sides

90-24=2l+24-24

66=2l

Divide by both sides

$\frac{66}{2}=\frac{2l}{2}$

33=l

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #18 : Plane Geometry

Example Question #1 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

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

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

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

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

Example Question #8 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

Example Question #9 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

All ISEE Middle Level Quantitative Resources

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