Free SAT Geometry & Trigonometry Drill Test

When numbers puzzle and angles whisper, Geometry & Trigonometry unite. Take a quick SAT practice test on Geometry & Trigonometry to unlock more challenging questions and view deep insights about yourself.

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Geometry & Trigonometry

In the xy-plane, a circle with radius 7 has center (3, -4). Which of the following is an equation of the circle?

A (x + 3)² + (y - 4)² = 7 B (x + 3)² + (y - 4)² = 49 C (x - 3)² + (y + 4)² = 7 D (x - 3)² + (y + 4)² = 49

In a right triangle, the measure of one of the acute angles is 45.5°. What is the measure, in degrees, of the other acute angle?

A 34.5 B 44.5 C 54.5 D 134.5

In a park, a lamp post that is 120 feet high casts a shadow that is 45 feet long. At the same time, a nearby bench that is 4 feet high casts a shadow. Which of the following is closest to the length, in feet, of the bench's shadow?

A 0.8 B 1.2 C 1.5 D 11

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How to solve Geometry & Trigonometry?

Use SOH-CAH-TOA

Familiarize yourself with sine, cosine, and tangent rules in right triangles, as these are crucial for trigonometry questions

Draw Diagrams

Visualizing geometric figures can help solve problems, especially when no diagram is provided

Apply Similar Triangles

Recognize and apply properties of similar triangles to solve problems involving ratios and angles

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Why Geometry & Trigonometry matters?

EdisonOS conducted a detailed Bluebook analysis to help tutors design SATs mirroring Bluebook test challenges. Findings reveal that Geometry and Trigonometry occupy the smallest portion of SAT Math, averaging 11 questions. This limited representation suggests that focused preparation on basic geometric concepts and trigonometric principles, combined with targeted practice, should be sufficient for strong performance in this area.

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I Need Detailed Analysis

Avoid These Common Mistakes in Geometry & Trigonometry

01 Misunderstanding Angles

Failing to recognize the relationship between sine and cosine in complementary angles can lead to errors

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02 Incorrect Ratios

Not applying SOH-CAH-TOA correctly can result in incorrect calculations of trigonometric ratios

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03 Ignoring Diagrams

Not drawing or using diagrams when solving geometric problems can lead to misunderstandings of spatial relationships

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04 Calculator Overuse

Relying too heavily on calculators can hinder understanding of mathematical concepts and lead to errors in non-calculator sections

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