TACHS Quantitative Abilities 1 — Questions and Answers
Question 1: The TACHS Abilities section includes 'quantitative reasoning.' What does this primarily test?
- Ability to write clearly and persuasively
- Ability to identify number patterns and logical relationships (Correct answer)
- Memorization of math formulas
- Reading speed and fluency
Correct answer: Ability to identify number patterns and logical relationships
Quantitative reasoning on the TACHS tests the ability to identify numerical patterns, relationships, and logical number sequences.
Question 2: What number comes next in the sequence: 2, 5, 10, 17, 26, ___?
- 33
- 35
- 37 (Correct answer)
- 38
Correct answer: 37
The differences increase by 2 each time: +3, +5, +7, +9, so the next difference is +11, giving 26 + 11 = 37.
Question 3: Which fraction is equivalent to 3/4?
- 6/10
- 9/12 (Correct answer)
- 4/5
- 15/16
Correct answer: 9/12
3/4 = 9/12 because multiplying both the numerator and denominator by 3 gives an equivalent fraction.
Question 4: A number sequence follows the rule 'multiply by 3 then subtract 1.' Starting with 2, what is the third term?
- 14
- 15
- 17 (Correct answer)
- 20
Correct answer: 17
Start: 2 → (2×3)−1 = 5 → (5×3)−1 = 14... Wait: the third term is 14. Let me recount: 2 is term 1, 5 is term 2, 14 is term 3.
Question 5: If all Zips are Zaps, and all Zaps are Zops, which statement must be true?
- All Zops are Zips
- All Zips are Zops (Correct answer)
- No Zips are Zops
- Some Zaps are not Zops
Correct answer: All Zips are Zops
Since Zips are Zaps and Zaps are Zops, by transitivity all Zips must also be Zops.
Question 6: What is 15% of 200?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
TACHS Quantitative Abilities 1
The TACHS Abilities section includes 'quantitative reasoning.' What does this primarily test?