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ISEE Lower Level Quantitative : Plane 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 #283 : Measurement & Data

Joe has a piece of wallpaper that is 9ft by 5ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

45ft^2

46ft^2

44ft^2

43ft^2

42ft^2

Correct answer:

45ft^2

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula $A=l \times w$

$A=9\times5$

A=45ft^2

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Example Question #284 : Measurement & Data

Joe has a piece of wallpaper that is 5ft by 2ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

11ft^2

9ft^2

10ft^2

8ft^2

12ft^2

Correct answer:

10ft^2

Explanation:

$A=5\times2$

A=10ft^2

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Example Question #285 : Measurement & Data

Joe has a piece of wallpaper that is 7ft by 2ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

18ft^2

17ft^2

16ft^2

15ft^2

14ft^2

Correct answer:

14ft^2

Explanation:

$A=7\times2$

A=14ft^2

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Example Question #231 : Quadrilaterals

Joe has a piece of wallpaper that is 9ft by 6ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

55ft^2

57ft^2

53ft^2

56ft^2

54ft^2

Correct answer:

54ft^2

Explanation:

$A=9\times6$

A=54ft^2

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Example Question #286 : Measurement & Data

Joe has a piece of wallpaper that is 5ft by 3ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

15ft^2

13ft^2

16ft^2

17ft^2

14ft^2

Correct answer:

15ft^2

Explanation:

$A=5\times3$

A=15ft^2

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Example Question #221 : Quadrilaterals

Joe has a piece of wallpaper that is 9ft by 7ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

65ft^2

64ft^2

67ft^2

63ft^2

66ft^2

Correct answer:

63ft^2

Explanation:

$A=9\times7$

A=63ft^2

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Example Question #1211 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the length of a rectangular room with a perimeter of 88ft and a width of 20ft?

Possible Answers:

22ft

24ft

21ft

20ft

23ft

Correct answer:

24ft

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.

88=2l+2(20)

88=2l+40

Subtract from both sides

88-40=2l+40-40

48=2l

Divide by both sides

$\frac{48}{2}=\frac{2l}{2}$

24=l

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Example Question #231 : Plane Geometry

What could be the dimensions of a rectangle with an area of $36\ cm^{2}$ ?

Possible Answers:

$8\ cm\times 3\ cm$

$10\ cm\times 16\ cm$

$3\ cm\times 2\ cm$

$9\ cm\times 4\ cm$

Correct answer:

$9\ cm\times 4\ cm$

Explanation:

Since area is length times width, the answer must equal 36 when multiplied. The only combination is 9cm by 4cm.

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Example Question #2 : Rectangles

Yard

The above diagram shows a rectangular home within a rectangular yard. What is the area of the yard?

Possible Answers:

$3,200 \textrm{ ft}^{2}$

$32,000 \textrm{ ft}^{2}$

$50,000 \textrm{ ft}^{2}$

$42,000 \textrm{ ft}^{2}$

$48,200 \textrm{ ft}^{2}$

Correct answer:

$48,200 \textrm{ ft}^{2}$

Explanation:

The area of the yard is the area of the smaller rectangle subtracted from that of the larger rectangle. The area of a rectangle is the product of its length and its height, so the larger rectangle has area

$250 \times 200 = 50,000$ square feet,

and the smaller rectangle has area

$60 \times 30 = 1,800$ square feet.

Subtract to get the area of the yard:

50,000 - 1,800 = 48,200 square feet.

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Example Question #232 : Plane Geometry

Swimming_pool

Give the area of the rectangular swimming pool shown above.

Possible Answers:

$3,500 \textrm{ ft}^{2}$

$1,750 \textrm{ ft}^{2}$

$1,850 \textrm{ ft}^{2}$

$3,400 \textrm{ ft}^{2}$

Correct answer:

$1,750 \textrm{ ft}^{2}$

Explanation:

The length and the width of the pool are 50 feet and 35 feet; the area of this rectangle is their product, or

$A = 50 \times 35 = 1,750$ square feet.

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Plane Geometry

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #283 : Measurement & Data

Example Question #284 : Measurement & Data

Example Question #285 : Measurement & Data

Example Question #231 : Quadrilaterals

Example Question #286 : Measurement & Data

Example Question #221 : Quadrilaterals

Example Question #1211 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #231 : Plane Geometry

Example Question #2 : Rectangles

Example Question #232 : Plane Geometry

All ISEE Lower Level Quantitative Resources

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