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Practice ACT - Math - MC5

Last updated about 3 hours ago

45 questions

Note from the author:

Instructions

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Venn diagram below shows the distribution of the number of athletes competing in each jumping event.

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A black line drawing of a circle on a white background. The center of the circle is marked with a solid black dot and labeled with the letter O. Four additional solid black dots are located on the edge (circumference) of the circle: Point A is in the lower-left quadrant. Point B is in the upper-right quadrant. Point D is on the far right edge (3 o'clock position). Point C is in the lower-right quadrant, positioned between point D and the bottom of the circle.

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A mathematical graph on a Cartesian coordinate system with $x$ and $y$ axes.Axes: The y-axis is labeled with "1" and "-1" tick marks. The origin is labeled "O".Function: A smooth, periodic wave (sinusoidal) is plotted.Key Features: The curve crosses the y-axis at its minimum point ($0, -1$). It reaches a maximum height of $1$ and a minimum of $-1$. The wave repeats consistently across the visible x-axis, showing approximately two and a half full cycles.

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A black line drawing featuring a circle and a triangle.Circle: The circle has a center marked with a solid dot and labeled with the letter O.Triangle: An inscribed triangle is positioned inside the circle so that all three vertices touch the circle's circumference.Labels: The top vertex is labeled A, the bottom-left vertex is labeled B, and the bottom-right vertex is labeled C. The base of the triangle, segment BC, is a horizontal line.

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Question 26

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A diagram representing a real-world trigonometry problem.Geometry: A right-angled triangle is formed by a horizontal ground line, a vertical tree, and a diagonal line of sight (hypotenuse). A square symbol at the base of the tree indicates a $90$-degree angle.Measurements: The horizontal distance from the far vertex to the base of the tree is labeled "18 feet". The angle of elevation at the far vertex is labeled "40°".Objective: The vertical height of the tree is marked with a question mark (?), indicating the value to be solved.

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Question 29

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A black horizontal line with arrows on both ends, representing a number line.Endpoints: The leftmost marked point is labeled "0" and the rightmost marked point is labeled "8".Points: There are six equal segments between 0 and 8. Five intermediate points are marked with solid dots and labeled consecutively from left to right as "A", "B", "C", "D", and "E".

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A circle with center O containing an inscribed triangle ABC.Diameter: Segment BC passes through the center point $O$ and is labeled "10 cm", identifying it as the diameter.Triangle: Triangle ABC is inscribed in the circle. Side AB and side AC each have a single tick mark, indicating they are equal in length (isosceles triangle).Arc: The arc between points A and B is highlighted with a thicker black line.

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Question 42

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A graph showing four separate curved branches on x and y axes.Orientation: Two branches open vertically (one up, one down) and two branches open horizontally (one left, one right).Vertices: Each of the four branches has a vertex marked with a solid black dot where it is closest to the origin O.Symmetry: The curves are perfectly symmetrical across both the x-axis and the y-axis.

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