SAT Math: Geometry and Trigonometry

Question 1

SAT (Digital)APConcept PracticeMedium

1 mark

The table summarizes the distribution of color and shape for $100$ tiles of equal area.

	Red	Blue	Yellow	Total
Square	$10$	$20$	$25$	$55$
Pentagon	$20$	$10$	$15$	$45$
Total	$30$	$30$	$40$ ...

Question 2

SAT (Digital)APConcept PracticeMedium

1 mark

A circle has a radius of $43$ meters. What is the area, in square meters, of the circle?

Question 3

SAT (Digital)APConcept PracticeHard

1 mark

Two identical rectangular prisms each have a height of $90$ centimeters $(\text{cm})$ . The base of each prism is a square, and the surface area of each prism is $K \text{ cm}^2$ . If the prisms are glued together along a square base, the resulting prism has a surface area of $\frac{92}{47}K \text{ cm}^2$ . What is the side length, in $\text{cm}$ , of each square base?

Question 4

SAT (Digital)APConcept PracticeEasy

1 mark

In the figure, line $m$ is parallel to line $n$ , and line $k$ intersects both lines. Which of the following statements is true?

Note: Figure not drawn to scale.

Question 5

SAT (Digital)APConcept PracticeEasy

1 mark

What is the area, in square centimeters, of a rectangle with a length of $34 \text{ cm}$ and a width of $29 \text{ cm}$ ?

Question 6

SAT (Digital)APConcept PracticeHard

1 mark

What is the area, in square units, of the triangle formed by connecting the three points shown?

![Graph of 3 points in the x y plane with the origin labeled O. The x axis ranges from negative 5 to 7 in increments of 1. The y axis ranges from negative 5 to 10 in increments of 1. Refer to long description.](Image URL)

Question 7

SAT (Digital)APConcept PracticeEasy

1 mark

A rectangle has an area of $63$ square meters and a length of $9$ meters. What is the width, in meters, of the rectangle?

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Red

Blue

Yellow

Total

Square

10

20

25

55

Pentagon

20

10

15

45

Total

30

30

40

...