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ATI TEAS 7

Mathematics

1. A playground fence has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m. What is the total perimeter?

Correct answer: D

Rationale: Calculate the semicircle perimeter (π * radius) and add it to the rectangular perimeter: perimeter = π * radius + 2 (length + width) ≈ 3.14 * 2m + 2 (5m + 3m) ≈ 6.28m + 16m ≈ 22.28m ≈ 22m (rounded).

2. What property of matter determines its resistance to changes in shape or size?

Correct answer: B

Rationale: Liquids have a definite volume but can take the shape of their container, unlike solids with fixed shapes and volumes.

3. A stop sign has five equal sides, each measuring 25cm. What is its perimeter?

Correct answer: B

Rationale: Multiply the side length by the number of sides: perimeter = number of sides * side length = 5 * 25cm = 125cm.

4. Which state of matter has particles that are highly organized in a fixed pattern and vibrate in place?

Correct answer: a

Rationale: In solids, particles are tightly packed in an ordered arrangement and vibrate around fixed positions, giving solids a definite shape and volume.

5. When does work on an object occur?

Correct answer: c

Rationale: Work is done when a force is applied to an object, causing it to move in the direction of the force.

6. A decorative box has a rectangular base (20cm by 15cm) and a hemispherical top with the same diameter as the base. What is the total surface area of the box (excluding the base)?

Correct answer: C

Rationale: Calculate the surface area of the lateral sides and the hemisphere, then add them up.

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