[May 17, 2023] ACT-Math Dumps Full Questions – Exam Study Guide [Q24-Q45]

Q24. Which of the following expressions is equivalent to x2/3?

Q25. If a + 3b = 37 and a – 3b = 19, then b = ___.

Q26. If

and

,

___.

Q27. An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight.
How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

Q28. Four copy machines make 240 total copies in three minutes.
How long will it take five copy machines to make the same number of copies?

Q29. FILL BLANK
If the distance from point (-2, m) to point (4, -1) is 10 units, what is the positive value of m?

Q30. Wendy tutors math students after school every day for five days. Each day, she tutors twice as many students as she tutored the previous day.
If she tutors t students the first day, what is the average (arithmetic mean) number of students she tutors each day over the course of the week?

Q31. If f(x) = 8x 2 – 10x + 5, then f(-4) = ?

Q32. An empty crate weighs 8.16 kg and an orange weighs 220 g.
If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

Q33. A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two choices for the body of the guitar, and six choices for the color of the guitar.
The music store offers:

Q34. In the diagram above, line OA is congruent to line OB.

What is the measure of arc CD?

Q35. What is the value of x when 2x + 7 = 3x – 5?

Q36. FILL BLANK
If a number is chosen at random from a set that contains only the whole number factors of 24, what is the probability that the number is either a multiple of four or a multiple of six?

Q37. When x = 4 and y = 6, by how much does the value of 3x 2 – 3y exceed the value of 2x 2 – 2y?

Q38. How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?

Q39. FILL BLANK
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie’s total bill?

Q40. Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

Q41. FILL BLANK
If -6 b + 2 a – 25 = 5 and

, what is the value of

?

Q42. The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (ABC), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr, Smith plans to build a 3-foot-wide walkway around the outside of the cabin, as shown in the floor plan.
What will be the area, in square feet, of the top surface of the walkway?

Q43. In the diagram above,

is
congruent to

, and

is congruent to

.

If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 a 2 + 10, what is area of triangle ABC?

Q44. Drag and drop

Q45. The product of

: