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ISEE Lower Level Quantitative : Geometry

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 #56 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle?

Screen shot 2015 11 10 at 1.53.36 pm

Possible Answers:

8cm^2

6cm^2

7cm^2

10cm^2

9cm^2

Correct answer:

7cm^2

Explanation:

The formula to find area is $A=l\times w$ . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

$7\times1=7cm^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

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Example Question #581 : Geometry

What is the area of the rectangle?

Screen shot 2015 11 10 at 1.53.11 pm

Possible Answers:

61cm^2

63cm^2

64cm^2

62cm^2

60cm^2

Correct answer:

63cm^2

Explanation:

The formula to find area is $A=l\times w$ . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

$9\times7=63cm^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

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Example Question #58 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle?

Screen shot 2015 11 10 at 1.52.51 pm

Possible Answers:

20cm^2

16cm^2

17cm&2

19cm^2

18cm^2

Correct answer:

18cm^2

Explanation:

The formula to find area is $A=l\times w$ . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

$9\times2=18cm^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

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Example Question #59 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle?

Screen shot 2015 11 10 at 1.52.22 pm

Possible Answers:

19cm^2

17cm^2

15cm^2

16cm^2

18cm^2

Correct answer:

15cm^2

Explanation:

The formula to find area is $A=l\times w$ . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

$3\times5=15cm^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

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Example Question #60 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle?

Screen shot 2015 11 10 at 1.52.04 pm

Possible Answers:

21cm^2

20cm^2

22cm^2

24cm^2

23cm^2

Correct answer:

24cm^2

Explanation:

The formula to find area is $A=l\times w$ . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

$3\times8=24cm^2$

*Area is the number of square units inside a shape, which is why area is always written with square units.

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Example Question #351 : Quadrilaterals

What is the perimeter of a square if one side is 5?

Possible Answers:

Correct answer:

Explanation:

All sides of a square are equal, so if one side is equal to 5, each of the sides is equal to 5. A square has 4 sides. We make the following equation for the perimeter.

Perimeter=side+side+side+side

Perimeter=5+5+5+5

Perimeter = 20

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Example Question #112 : Rectangles

What is the perimeter of a rectangle that has a length of 10 and a width of 4?

Possible Answers:

Correct answer:

Explanation:

Rectangle

This rectangle has two sides that are equal to 10, and two sides that are equal to 4. The perimeter is equal to 10 + 10 + 4 + 4=28 .

The formula for the perimeter of a rectangle is length+length+width+width , or 2(length)+2(width) .

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Example Question #353 : Quadrilaterals

Let represent the length of a rectangle. What is the perimeter when the width is less than the length?

Possible Answers:

x-10

4x-10

2x-20

Correct answer:

4x-10

Explanation:

The formula for finding the perimeter of a rectangle is P=2L+2W , or times the length plus times the width. We get the same result just adding all the sides together. If the length is , then the width is x-5 . Plugging this information into the formula, we get 2x+2(x-5) . Expand this by multiplying times and times to get 2x+2x-10 . Then simplify by adding 2x+2x to get 4x-10 .

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Example Question #352 : Quadrilaterals

If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then the width will equal $\frac{1}{5}\cdot10=2$ .

The perimeter is equal to Perimeter = length+length+width + width

Perimeter=10+10+2+2

Perimeter=24

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Example Question #121 : Rectangles

Daniel found the perimeter of the rectangle below to be 28 meters. Screenshot_2015-03-25_at_3.14.22_pm

What is the length of the missing side of the rectangle?

Possible Answers:

7 meters

6 meters

8 meters

5 meters

Correct answer:

6 meters

Explanation:

The perimeter of a rectangle can be found using the formulat 2w + 2l = P. In other words, twice the width plus twice the length equals the perimeter.

Start by finding the length of the given sides. In this case, 8+8 = 16 meters.

Subtract this value from the perimeter of the rectangle: 28 - 16 = 12.

The two remaining sides, each X meters long, must add up to 12 meters. Because opposite sides in a rectangle are the same length, X = 6 meters.

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All ISEE Lower Level Quantitative Resources

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

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ISEE Lower Level Quantitative : Geometry

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #56 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

Example Question #581 : Geometry

Example Question #58 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

Example Question #59 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

Example Question #60 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

Example Question #351 : Quadrilaterals

Example Question #112 : Rectangles

Example Question #353 : Quadrilaterals

Example Question #352 : Quadrilaterals

Example Question #121 : Rectangles

All ISEE Lower Level Quantitative Resources

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