ATI TEAS 7
Mathematics
1. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?
- A. 675 cu cm
- B. 1350 cu cm
- C. 2700 cu cm
- D. 4050 cu cm
Correct answer: C
Rationale: Use half the formula for a sphere's volume: (2/3) * À * (radius)^3. Calculate the radius (15cm) and substitute: (2/3) * À * (15cm)^3 ≈ 2700 cu cm.
2. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Which of the following represents the LCM of 14 and 21?
- A. 42
- B. 63
- C. 84
- D. 168
Correct answer: C
Rationale: We can list out the multiples of each number until we find a common multiple. 14, 28, 42, 56, 84, ... 21, 42, 63, 84, ... The least common multiple is 84.
3. Which organ helps break down food by grinding it with your teeth?
- A. Stomach
- B. Esophagus
- C. Liver
- D. Mouth
Correct answer: D
Rationale: Rationale: The mouth is the organ that helps break down food by grinding it with your teeth. The process of chewing, also known as mastication, breaks down food into smaller pieces, making it easier to swallow and digest. The teeth in the mouth play a crucial role in this initial stage of digestion by physically breaking down food into smaller particles. The other options listed do not directly participate in the mechanical breakdown of food through chewing.
4. What is the relationship between force and acceleration according to Newton's second law?
- A. Force is directly proportional to acceleration
- B. orce is inversely proportional to acceleration
- C. Force has no relation to acceleration
- D. Force causes deceleration, not acceleration
Correct answer: A
Rationale: According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This relationship is mathematically expressed as F = ma, where F represents force, m represents mass, and a represents acceleration. Therefore, an increase in force will result in a proportional increase in acceleration, supporting the statement that force is directly proportional to acceleration.
5. A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?
- A. 2 units
- B. 3 units
- C. 4 units
- D. 5 units
Correct answer: B
Rationale: Rationale: 1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL. 2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units. 3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units. Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.
6. Where should a semicolon be placed in the following sentence? "He loves reading comics, playing video games, and spending time with friends"?
- A. He loves reading comics; playing video games, and spending time with friends.
- B. He loves reading comics, playing video games; and spending time with friends.
- C. He loves reading comics, playing video games and spending time with friends.
- D. No semicolon needed.
Correct answer: B
Rationale: Semicolons can join three or more items in a list, especially when the items themselves contain commas. Option (b) is the correct placement.
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