Latest ACT-Math Exam Real Tests Free Updated Today [Q13-Q37]

NO.13 A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
If there are 24 yellow marbles in the sack, how many total marbles are in the sack?

NO.14 If y = – x 3 + 3 x – 3, what is the value of y when x = -3?

NO.15 If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

NO.16 It takes eight people 12 hours to clean an office.
How long would it take six people to clean the office?

NO.17 A car averages 30 miles per gallon. If gas costs $2.20 per gallon, which of the following is closest to how much the gas would cost for this car to travel 3,250 miles?

NO.18 Drag and drop

NO.19 Sales for a business were $4 million more the second year than the first, and sales for the third year were double sales of year two.
If sales of the third year were $48 million, what were sales in millions of dollars for the first year?

NO.20 Which of the following is the midpoint of a line with endpoints at (-2, -8) and (8, 0)?

NO.21 FILL BLANK

The diagram above shows the breakdown by age of the 1,560 people who attended the Spring Island Concert last weekend.
How many people between the ages of 18 and 34 attended the concert?

NO.22 The expression 9 × ( x – 3) + 2 × (4 x + 4) is equivalent to:

NO.23 Rob has six songs on his portable music player.
How many different four-song orderings can Rob create?

NO.24 Simon plays a video game four times. His game scores are 18 points, 27 points, 1 2 points, and 15 points.
How many points must Simon score in his fifth game in order for the mean, median, and mode of the five games to equal each other?

NO.25 A room has a rectangular floor that is 15 feet by 21 feet.
What is the area of the floor in square yards?

NO.26 If

, then a = ___.

NO.27 Drag and drop

is equivalent to:

NO.28 The distribution of Jamal’s high school grades by percentage of course credits is given in the circle graph below.

What is Jamal’s grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?

NO.29 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?

NO.30 Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6.
If there are 24 2 total flowers in her garden, how many of them are tulips?

NO.31 If

anda = 4 and b = 8, which of the following could be true?

NO.32 If a + 3b = 37 and a – 3b = 19, then b = ___.

NO.33 Laura plans to paint the 8-foot-high rectangular walls of her room, and before she buys paint she needs to know the area of the wall surface to be painted. Two walls are 10 feet wide, and the other 2 walls are 15 feet wide. The combined area of the 1 window and the 1 door in her room is 60 square feet.
What is the area, in square feet, of the wall surface Laura plans to paint?

NO.34 If g × 1/4 = 16, then g × (-1/5):

NO.35 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?

NO.36 The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?

NO.37 The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96.
What is the average of this new list of numbers?