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- NYS standard 7.G geometry ×
Take these 41 questions as a practice test
- A circle has a radius of 5 inches. What is the area of the circle in terms of π? Use π to express your…
- In the parallelogram above, what is the value of x?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 2 of 5
- In the figure above, n p. Straight line m intersects both line n and line p. What is the value of r?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 4 of 5
- Level Above grade 7
- Two circles, with centers at A and C, are shown. Line segment AB is congruent to line segment DE. Determine the area, A, and…
- Tariq is making a clay block in the shape of a cube with a side length of 20 cm. He hollows out the center…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.2
- Difficulty 2 of 5
- Format Grid-in
- Terry wants to pour cement around the edge of the circular patio in her backyard. The patio has a radius of 5 feet. What…
- A square metal plate has a side length of 3 inches. A circular hole with a diameter of 2 inches is cut out from…
- Type Circles, Area and perimeter
- NYS standards 7.G.4
- Difficulty 2 of 5
- Format Grid-in
- In a scale drawing of a triangular park, the sides measure 5 inches, 7 inches, and 8 inches. The perimeter of the actual park…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- P is the center of the circle above, and R, S, and T are points on the circle. What is the value of x?
- In the right triangle shown above, what is the measure of the smallest angle?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
- What shape will result from a horizontal slice of the figure above?
- Type Volume and surface area
- NYS standards 7.G.3
- Difficulty 1 of 5
- Angle M and angle R are supplementary. The measure of angle R is 5 times the measure of angle M. What is the measure…
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
- In the figure above, PQRS is a square. Point S is the center of the circle, and points P and R are on the…
- A museum has a room in the shape of a rectangle. The area of the floor is 960 square feet. In a scale drawing…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 3 of 5
- Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4, 6.G.1
- Difficulty 4 of 5
- Level Above grade 7
- The figure above shows a scale drawing of a garden, where 1 centimeter represents 2.5 meters. What is the perimeter of the actual garden…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 6.NS.3
- Difficulty 3 of 5
- Format Grid-in
- The figure below is a triangular prism. The lateral sides are rectangles. What is the volume of the figure, in cubic inches?
- Type Volume and surface area
- NYS standards 7.G.6
- Difficulty 2 of 5
- Format Grid-in
- Two circular plates have the dimensions shown. What is the difference between the areas of the two plates, in square inches?
- What is the total surface area, in square centimeters, of the closed box shown above?
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4
- Difficulty 2 of 5
- Triangle MNP is similar to triangle XYZ, and MN=NP. What is the perimeter of triangle MNP?
- Type Triangles and the Pythagorean theorem
- NYS standards 8.G.4, 7.G.1
- Difficulty 3 of 5
- Level Above grade 7
- In the figure above, line l is perpendicular to line n. What is the value of x?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
- Format Grid-in
- Lines j and k intersect at point Q, and h is a straight line. What is the value of x?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 4 of 5
- Level Above grade 7
- In the parallelogram above, what is the value of x + y?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 2 of 5
- The shaded sector of the circle shown above has an area of 18π square feet. What is the circumference of the circle?
- The diagram above shows line segment RS intersecting a rectangle. What is the measure of angle y?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
- In the figure above, the shaded rectangle is similar to the outer rectangle. The length of the outer rectangle is 4 feet, and the…
- Type Area and perimeter, Proportions and scale
- NYS standards 8.G.4, 7.G.1
- Difficulty 4 of 5
- Level Above grade 7
- In a scale drawing of a rectangular garden, the length is 15 inches and the width is 9 inches. In the drawing, 2 inches…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- Format Grid-in
- On Fran’s map, 2 centimeters represents 3 kilometers. The points on this map that represent Fran’s home and Bryant State Park are 4.5 centimeters…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- On a map, the distance between Deshawn’s house and Xin’s house is 5.4 inches. If 2 inches on the map represents 3 miles, what…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- This wheel has 15 spokes, equally spaced. What is the measure of the angle between adjacent spokes?
- Type Angles and lines
- NYS standards 7.G.5
- Difficulty 1 of 5
- Level Below grade 7
- Angle A and angle B are complementary. If the measure of angle B is three times as great as the measure of angle A,…
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
- The garden design shown above is created in the shape of three semicircles whose diameters lie on the sides of an equilateral triangle. If…
- In the figure above, PQRS is a parallelogram. What is the value of x?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- In a scale diagram, 0.125 inch represents 125 feet. How many inches represent 1 foot?
- Type Proportions and scale
- NYS standards 7.G.1, 6.RP.3b, 6.NS.3
- Difficulty 2 of 5
- In the pyramid above, each triangular face has the same area, and the base MNPQ is a square that measures 8 centimeters on each…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4, 6.G.1
- Difficulty 3 of 5
- In a scale drawing of a triangular banner, one side measures 16 centimeters and the other two sides each measure 12 centimeters. On the…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- A car travels at 4,400 feet per minute. The radius of each tire on the car is 1 foot. How many revolutions does one…
- Four straight lines intersect at point P as shown above. What is the value of y?
- Type Angles and lines
- NYS standards 7.G.5
- Difficulty 3 of 5
- Format Grid-in
- In the figure above, PQRS is a parallelogram. The measure of ∠PQT is 50°, and the measure of ∠PTQ is 70°. What is the…
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
- A large circular dinner plate has a radius of 20 centimeters. A smaller circular plate with a circumference of 20π centimeters is placed in…
- In the quarter circle above, what is y in terms of x?
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