Question 1Easier
A straight angle is divided into two smaller angles. One angle measures . What is the measure of the other angle?
Show answer
Answer: B —
The two smaller angles add to , so the other angle is .
Study on the flySSAT UpperQuantitative (Math)Plane geometry (area, perimeter, circles)
Quantitative (Math)
Plane geometry (area, perimeter, circles) — SSAT Upper practice questions
- 167 practice questions in the app
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What this topic is
Plane geometry (area, perimeter, circles) covers flat shapes: rectangles, triangles, circles and the angles between lines.
A frequent mix-up is between area and perimeter; knowing a rectangle's area and width gives its length, but the question may then ask for the perimeter, which adds all four sides. Circle questions use area equals pi r squared and circumference equals two pi r, and SSAT Upper answers are often left in terms of pi.
Angle facts also appear, such as the two angles on a straight line adding to one hundred eighty degrees. Some items layer shapes, like the ring between two circles that share a center, found by subtracting areas.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 2Harder
Two circles have the same center. The radius of the larger circle is 3 units more than the radius of the smaller circle. The area between the two circles is square units. What is the radius of the smaller circle?
Show answer
Answer: C — 6
Let the smaller radius be and the larger radius be . Since and , we have . Thus , so . Solving and gives .
Question 3Easier
A rectangle has an area of 84 square units and a width of 7 units. What is the perimeter of the rectangle?
Show answer
Answer: D — 38
The missing length is units because area equals length times width. The perimeter is then units.
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Practice 167 Plane geometry (area, perimeter, circles) questions in the app
More SSAT Upper topics
Quantitative (Math)
- Number concepts and operations
- Fractions, decimals, and percents
- Ratios, proportions, and rates
- Exponents and roots
- Estimation
- Algebraic word problems
- Equations of lines
- Patterns, sequences, and series
- Triangles and the Pythagorean theorem
- Coordinate geometry and slope
- Solid geometry (volume)
- Data analysis (tables, graphs, trends)
- Probability
Harder than the exam: SSAT Upper Challenge · Competition-style problems
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