TACHS Quantitative Abilities

Question 1

The TACHS Abilities section includes 'quantitative reasoning.' What does this primarily test?

Accepted Answer

Ability to identify number patterns and logical relationships

Answer

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, ___?

Accepted Answer

37

Answer

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?

Accepted Answer

9/12

Answer

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?

Accepted Answer

17

Answer

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?

Accepted Answer

All Zips are Zops

Answer

Since Zips are Zaps and Zaps are Zops, by transitivity all Zips must also be Zops.

TACHS Practice Test