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Geometry Questions & Answers For 7th Grade Students
Geometry questions and answers suitable for 7th Grade students. The questions are Common Core aligned and follow the framework as set out. Available to see visually online. To utilise the PDF version please click the ‘Download PDF’ option.
Completely free to use and download. For more comprehensive end of 7th Grade question booklets please see our end of year test booklets.
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Kim is creating a scale drawing of her rectangular backyard, which has dimensions of 30 feet in length and 20 feet in width. She decides to use a scale of 1 inch = 5 feet for her drawing. If she wants to represent the length and width of her backyard in her scale drawing, how long should she draw it on paper?
a) Length: 5 inches, Width: 5 inches
b) Length: 150 inches, Width: 100 inches
c) Length: 35 inches, Width: 25 inches
d) Length: 6 inches, Width: 4 inches
Correct Answers : d)
Which of the following situations will result in the construction of a unique triangle?
a) Three angles that measure 45 degrees each.
b) Three sides with lengths 3 cm, 4 cm, and 5 cm.
c) Three angles that measure 20°, 60°, and 70°.
d) Three sides with lengths 1 cm, 2 cm, and 3 cm.
Correct Answers : b)
When a right rectangular pyramid is sliced right in the middle, parallel to its base, what two-dimensional shape is typically formed?
a) A triangle.
b) A circle.
c) A rectangle.
d) A pentagon.
Correct Answers : c)
A circular garden has a radius of 5 meters. What is the circumference of the garden? (π = 3.14)
a) 10 meters
b) 15.7 meters
c) 31.4 meters
d) 25 meters
Correct Answers : c)
The diameter of a pizza is 12 inches. What is the area of the pizza in square inches? (π = 3.14)
a) 118.50 in²
b) 136.04 in²
c) 112.50 in²
d) 113.04 in²
Correct Answers : d)
A circular track has a circumference of 100 meters. What is the radius of the track? (π = 3.14)
a) 10.32 meters
b) 15.92 meters
c) 25 meters
d) 50 meters
Correct Answers : b)
Two angles are complementary. The measure of one angle is 30 degrees less than twice the measure of the other angle. What is the measure of the smaller angle?
a) 20 degrees
b) 30 degrees
c) 40 degrees
d) 50 degrees
Correct Answers : c)
Two angles are supplementary. The measure of one angle is 30 degrees less than twice the measure of the other angle. What is the measure of each angle?
a) 90 degrees and 90 degrees
b) 60 degrees and 120 degrees
c) 40 degrees and 140 degrees
d) 110 degrees and 70 degrees
Correct Answers : d)
You are planning to tile the floor of a rectangular kitchen that measures 6 feet in length and 4 feet in width. Each tile you plan to use is a square with a side length of 1 foot. How many tiles will you need to cover the entire kitchen floor?
a) 10 tiles
b) 16 tiles
c) 24 tiles
d) 36 tiles
Correct Answers : c)
You are packaging books in a rectangular box to ship to a customer. The box measures 12 inches in length, 8 inches in width, and 4 inches in height. What is the total volume of the box in cubic inches, and how many books can the box hold if each book has dimensions of 6 inches in length, 4 inches in width, and 1 inch in height?
a) Volume: 384 cubic inches, 16 books
b) Volume: 192 cubic inches, 16 books
c) Volume: 384 cubic inches, 8 books
d) Volume: 192 cubic inches, 8 books
Correct Answers : a)