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ATI TEAS 7

Mathematics

1. You need to buy cardboard to cover a rectangular box with dimensions 40cm by 30cm by 25cm. Considering only the exterior surfaces (not flaps or openings), how much cardboard do you need (assume one sheet covers 0.5 sq m)?

Correct answer: C

Rationale: Calculate the areas of each side and add them up for the total surface area. Divide by the coverage area per sheet to determine the number of sheets needed.

2. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?

Correct answer: B

Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =

3. What kind of lens focuses parallel light rays to a single point?

Correct answer: B

Rationale: Convex lenses (converging lenses) bend incoming light rays inwards, focusing them to a point called the focal point.

4. Which of the following is an example of an unsaturated fatty acid?

Correct answer: C

Rationale: Oleic acid is an unsaturated fatty acid, containing at least one double bond in its hydrocarbon chain. The other choices are saturated fatty acids.

5. The number of protons in the nucleus of an atom determines its:

Correct answer: B

Rationale: The atomic number (Z) equals the number of protons in the nucleus and uniquely identifies an element. Mass number (A) includes both protons and neutrons, isotopes have different neutron numbers, and valence electrons are involved in bonding, not atomic identity.

6. A prism separates white light into its constituent spectral components because:

Correct answer: B

Rationale: The correct answer is B because different colors experience varying speeds when passing through a prism due to their differing wavelengths. This causes them to refract at different angles, resulting in the separation of white light into its constituent spectral components. The phenomenon of dispersion occurs as a result of this wavelength-dependent refraction, allowing us to see the full spectrum of colors. Absorbing certain colors (option A) or reflecting specific colors (option D) would not explain how a prism separates white light. Additionally, if a prism were to bend all colors with the same magnitude (option C), it would not result in the distinct separation of colors that we observe.

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