ATI TEAS 7
Mathematics
1. A birthday party hat has a cone-shaped top with a radius of 5cm and a height of 12cm. What is its volume?
- A. 60 cu cm
- B. 120 cu cm
- C. 150 cu cm
- D. 180 cu cm
Correct answer: C
Rationale: Use the formula for volume of a cone: (1/3) * À * (radius)^2 * height. Substitute the values: (1/3) * À * (5cm)^2 * 12cm ≈ 150 cu cm.
2. What is the difference between a pure substance and a mixture?
- A. Pure substances have fixed composition, mixtures don't.
- B. Mixtures have fixed composition, pure substances don't
- C. Pure substances are always solids, mixtures can be any state
- D. Pure substances are always elements, mixtures are always compounds
Correct answer: A
Rationale: Rationale: - Pure substances have a definite and constant composition, meaning they are made up of only one type of atom or molecule. This composition does not vary. - Mixtures, on the other hand, are composed of two or more substances physically combined. The components of a mixture can be present in varying proportions, leading to a variable composition. - Option A correctly distinguishes between pure substances and mixtures based on the fixed composition of pure substances and the variable composition of mixtures.
3. What is the main function of the large intestine?
- A. Break down food
- B. Absorb water
- C. Secrete digestive enzymes
- D. Store waste
Correct answer: B
Rationale: The correct answer is B: "Absorb water." The main function of the large intestine is to absorb water and electrolytes from the undigested food material that passes through it. This helps in the formation of solid waste or feces, which is then stored in the rectum until it is eliminated from the body. Breaking down food primarily occurs in the small intestine, while the large intestine focuses on reabsorbing water to prevent dehydration. Secreting digestive enzymes is mainly done by the pancreas and liver, not the large intestine.
4. Which phenomenon explains the formation of rainbows in the sky?
- A. Diffraction
- B. Interference
- C. Refraction and dispersion of sunlight by water droplets.
- D. Reflection from clouds
Correct answer: C
Rationale: Refraction and dispersion of sunlight by water droplets in the atmosphere separate white light into its constituent colors, creating the rainbow phenomenon.
5. The energy released in nuclear fusion originates from:
- A. The fission of heavy nuclei
- B. The binding energy released during the fusion of light nuclei
- C. Electronic transitions within atoms
- D. Matter-antimatter annihilation
Correct answer: B
Rationale: The correct answer is B: 'The binding energy released during the fusion of light nuclei.' Nuclear fusion is the process where light nuclei combine to form a heavier nucleus, releasing energy in the form of binding energy. This energy comes from the conversion of mass into energy as per Einstein's famous equation E=mc^2. In contrast, option A refers to nuclear fission, where heavy nuclei split into lighter nuclei, releasing energy. Option C is related to atomic energy levels, and option D involves the complete conversion of matter into energy, not specific to nuclear fusion. Therefore, the energy released in nuclear fusion originates from the binding energy released during the fusion of light nuclei.
6. Which property of a substance refers to its ability to be stretched into thin wires?
- A. Conductivity
- B. Viscosity
- C. Ductility
- D. Malleability
Correct answer: c
Rationale: Ductility refers to a substance's ability to be stretched into thin wires without breaking.
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