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?
- A. 13m
- B. 16m
- C. 19m
- D. 22m
Correct answer: D
Rationale: Calculate the semicircle perimeter (À * radius) and add it to the rectangular perimeter: perimeter = À * 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?
- A. Solid
- B. Liquid
- C. Gas
- D. Plasma
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?
- A. 100cm
- B. 125cm
- C. 150cm
- D. 175cm
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?
- A. Solid
- B. Liquid
- C. Gas
- D. Plasma
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?
- A. Only when the object's velocity changes
- B. Only when a force is applied to the object
- C. Whenever there is a force exerted on the object causing displacement
- D. Only when the object is lifted vertically
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)?
- A. 825 sq cm
- B. 1075 sq cm
- C. 1325 sq cm
- D. 1575 sq cm
Correct answer: C
Rationale: Calculate the surface area of the lateral sides and the hemisphere, then add them up.
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