ATI TEAS 7
Mathematics
1. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?
- A. 12000 cu m
- B. 6000 cu m
- C. 18000 cu m
- D. 24000 cu m
Correct answer: A
Rationale: Use the formula for the volume of a pyramid with the original height and base area.
2. What is the name of the condition characterized by inflammation of the small intestine?
- A. Appendicitis
- B. Celiac disease
- C. Gastritis
- D. Crohn's disease
Correct answer: D
Rationale: Rationale: A) Appendicitis is inflammation of the appendix, not the small intestine. B) Celiac disease is an autoimmune disorder triggered by gluten consumption that damages the small intestine, but it is not characterized by inflammation alone. C) Gastritis is inflammation of the stomach lining, not the small intestine. D) Crohn's disease is a chronic inflammatory condition that can affect any part of the gastrointestinal tract, but it commonly involves the small intestine. Symptoms of Crohn's disease include abdominal pain, diarrhea, weight loss, and fatigue.
3. What is the common name for the compound CH₃COOH?
- A. Acetic acid
- B. Formic acid
- C. Butyric acid
- D. Propionic acid
Correct answer: A
Rationale: CH₃COOH is commonly known as acetic acid. The other choices represent different organic acids.
4. Autoimmune diseases occur when the immune system mistakenly attacks healthy body tissues. What is a potential cause of autoimmune diseases?
- A. Deficiency in essential vitamins and minerals
- B. Exposure to environmental toxins
- C. Breakdown in immune cell self-tolerance mechanisms
- D. All of the above
Correct answer: C
Rationale: The correct answer is C. Autoimmune diseases are triggered by a breakdown in immune cell self-tolerance mechanisms, where the immune system fails to recognize 'self' from 'non-self' cells, leading to attacks on healthy tissues. While deficiencies in essential vitamins and minerals or exposure to environmental toxins can impact immune function, the root cause of autoimmune diseases is primarily attributed to the breakdown in self-tolerance mechanisms. This breakdown can be influenced by genetic predisposition, environmental factors, and other triggers, leading to the development of autoimmune conditions.
5. A salt solution that conducts electricity well is most likely
- A. A saturated solution
- B. A concentrated solution of a strong electrolyte
- C. A dilute solution of a weak acid
- D. A mixture of a neutral compound and water
Correct answer: B
Rationale: The correct answer is B: "A concentrated solution of a strong electrolyte." Strong electrolytes completely dissociate into ions in solution, thereby increasing the conductivity of the solution. Concentrated solutions have a higher amount of dissolved solute particles, which leads to more ions available for conducting electricity. In contrast, saturated solutions may contain undissolved solute, limiting the number of ions in solution. Dilute solutions have fewer ions and weak acids only partially dissociate, reducing conductivity. A neutral compound and water do not provide ions for conducting electricity. Therefore, a concentrated solution of a strong electrolyte is most likely to conduct electricity well due to the high concentration of ions present.
6. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
- A. 625 cu cm
- B. 1250 cu cm
- C. 1875 cu cm
- D. 2500 cu cm
Correct answer: C
Rationale: This requires dividing the frustum into two cones and calculating their individual volumes before subtracting them. The formula for a cone frustum involves the radii of both bases and the height.
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