ATI TEAS 7
Mathematics
1. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: Calculate the area of the triangle (1/2 * base * height) and multiply by the depth.
2. Which law of motion explains the behavior of rockets in space?
- A. Newton's First Law
- B. Newton's Second Law
- C. Newton's Third Law
- D. None of the above
Correct answer: c
Rationale: Newton's Third Law of motion explains that for every action, there is an equal and opposite reaction, which propels rockets in space.
3. A medication dosage is listed as 1/2 teaspoon. What is the equivalent dosage in milliliters (1 teaspoon = 5ml)?
- A. 1.25ml
- B. 2.5ml
- C. 3.75ml
- D. 5ml
Correct answer: B
Rationale: 2.5ml: Divide the teaspoon dosage (1/2) by the conversion factor (2 teaspoons/5ml).
4. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?
- A. 100ml 10% solution, 100ml water
- B. 150ml 10% solution, 50ml water
- C. 160ml 10% solution, 40ml water
- D. 200ml 10% solution, 0ml water
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 =
5. What is the least common multiple (LCM) of 4 and 6?
- A. 24
- B. 12
- C. 6
- D. 3
Correct answer: B
Rationale: The LCM is the smallest number that is a multiple of both 4 and 6. We can find this by listing out the multiples of each number until we find a common value. In this case, 12 is the first number divisible by both 4 (4 x 3) and 6 (6 x 2).
6. What is the difference between a homozygous recessive genotype and a homozygous dominant genotype?
- A. Both have the same phenotype, but different genotypes.
- B. Both have the same genotype, but different phenotypes.
- C. Homozygous recessive has two dominant alleles, while homozygous dominant has two recessive alleles.
- D. Homozygous recessive has two identical recessive alleles, while homozygous dominant has two identical dominant alleles.
Correct answer: D
Rationale: Rationale: - Homozygous recessive genotype refers to an individual having two identical recessive alleles for a particular gene (e.g., rr for a trait where r represents the recessive allele). - Homozygous dominant genotype refers to an individual having two identical dominant alleles for a particular gene (e.g., RR for a trait where R represents the dominant allele). - The difference between the two genotypes lies in the specific alleles present in each case, with homozygous recessive having two recessive alleles and homozygous dominant having two dominant alleles. - This genetic difference results in different phenotypes being expressed, as the dominant allele typically masks the expression of the recessive allele in heterozygous individuals.
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