Home->ACT Math

Nita, Craig, and Chris catch a total of 300 fish on their trip. If Chris catches 45% of the fish and Craig catches 25 fish, what fraction of the 300 fish does Nita catch?

(A)

(B)

(C)

(D)

(E)

All of the following statements about rational and/or irrational numbers must be true EXCEPT:

(F) the sum of any two rational numbers is rational. (G) the product of any two rational numbers is rational. (H) the sum of any two irrational numbers is irrational. (J) the product of a rational and an irrational number may be rational or irrational. (K) the product of any two irrational numbers is irrational.

Correct Answer: K

In the figure below, ABCD is a square. Points are connected on each pair of adjacent sides of ABCD to form 4 congruent right triangles, as shown below. Each of these triangles has one leg that is twice as long as the other leg. If the area of the shaded region is 25 square feet, what is the area of square ABCD in square feet?

（A）225 （B） 112.5 （C） 56.25 （D） 45 （E） 27

Correct Answer: D

The minutes and seconds on a 60-minute digital timer are represented by 3 or 4 digits. What is the largest product that can be obtained by multiplying the digits in one of these representations?

(Note: When the timer displays 16:15, the product of the digits is (1)(6)(1)(5) = 30.)

(F) 90

(G) 2,025

(H) 3,481

(J) 3,600

(K) 6,561

Correct Answer: G