A small square table and an L-shaped table fit together with no space between them to create a large square table. The area of the large square table is 108 square feet and is nine times the area of the small square. What is x, the edge of the L-shaped table labeled in the figure below in square feet?
(A)2
(B) 4
(C) 4
(D) 4
(E) 12
Emilia is going to bake cookies. She rolls out a square of dough that is 12 inches wide by 12 inches long and cuts 9 identical circular cookies from the dough, as shown in the figure below. Each circular cut-out is tangent to the circular cut-outs next to it and tangent to the edge or edges of the square piece of dough it touches. Approximately, what is the area, in square inches, of the remaining dough, as shown in the figure?
(A)30.9 (B) 42.3 (C) 50.24 (D) 87.5 (E) 113.04
Correct Answer: A
Which of the following expressions is equivalent to 2a + 4b + 6c?
(A) 8(a + b + c) (B) 2(a + 2b) + 3c (C) 2(a + 4b + 6c) (D) 2(a + 2b + 6c) (E) 2(a + 2b + 3c)
Correct Answer: E
This semester, Gerry scored an average of 93 on his five history exams. He got the same score on his first two exams, and then he got a 94, an 85, and a 90 on the remaining exams. What score did he receive on his first two exams?
(F) 95(G) 96(H) 97(J) 98(K) 99
Correct Answer: J
More ACT Math Exam Questions
- 1A cellular phone company unveiled a new plan for new customers. It will charge a flat rate of $100 for initial connection and service for the first two months, and $60 for service each subsequent month. If Bob subscribes to this plan for one year, how much does he pay in total for the year?
- 2
Al bikes a trail to the top of a hill and back down. He bikes up the hill in m minutes, then returns twice as quickly downhill on the same trail. What is the total time, in hours, that Al spends biking up the hill and back down?
- 3If the lengths of adjacent sides of a rectangular playground have measures of 4x - 3 and 2x2 + 7 units, respectively, then which of the following expressions represents the area, in square units, of the playground?
- 4
The slope of a line in the standard (x,y) coordinate plane is 4. What is the slope of a line perpendicular to that line?
- 5Kaylee is planning to purchase a car. She will need to borrow some of the money and has a chart, shown below, that will help her to approximate her monthly payment. The chart gives the approximate monthly payment per $1,000 borrowed. A local dealership is having an end-of-the-modelyear clearance sale and is offering 5% annual interest on new-car loans for 36, 48, or 60 months. The maximum amount that Kaylee can budget for her monthly car payment is $300. Of the following loan amounts, which one represents the maximum amount that Kaylee can borrow at 5% annual interest while staying within her budget?