TACHS Quantitative Abilities 2

Question 1

What number is missing from this sequence: 1, 4, 9, 16, ___, 36?

Accepted Answer

25

Answer

This sequence is the perfect squares: 1², 2², 3², 4², 5², 6² — so the missing number is 5² = 25.

Question 2

If a rectangle has a length of 12 and a perimeter of 40, what is its width?

Accepted Answer

8

Answer

Perimeter = 2(length + width), so 40 = 2(12 + w) → 20 = 12 + w → w = 8.

Question 3

On the TACHS, if a ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are there?

Accepted Answer

14

Answer

If 5 parts = 24 girls, then 1 part = 4.8 and 3 parts = 14.4 ≈ not a whole number. Let's recalculate: 3:5, 5 parts = 24, but 24÷5 isn't whole. Correct answer: 24/5 × 3 = 14.4 — closest is 14.

Question 4

Which expression equals 48 ÷ 6 + 2 × 3?

Accepted Answer

14

Answer

Using order of operations: 48 ÷ 6 = 8, then 2 × 3 = 6, then 8 + 6 = 14.

Question 5

A bag has 5 red, 3 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is red?

Accepted Answer

5/10

Answer

There are 10 marbles total, and 5 are red, so the probability is 5/10 = 1/2.

TACHS Practice Test

TACHS Practice Test

TACHS Quantitative Abilities 2