ACT Past Papers with Answers

A Fahrenheit temperatUTe F can be approximated by doubling the Celsius temperature C and adding 32. Which of the following expresses this approximation method? (Note: The symbol to.") DO YOUR FIGURING HERE. means "is approximately equal C+32 (C+32)

Malcolm has 3 striped ties and 4 solid-colored ties hanging together in his closet. In his haste to get to his appointment, he randomly grabs l of these 7 ties. What is the probability the tie that Malcolm grabs is striped?

The daily totals of lunch customers served at the Sunshine Cafe last Monday through Saturday were 256, 189, 204, 179, 166, and 218. What was the , average number of lunch customers served each day. 256 202 197 173

In the figure showing LABC below, line m is parallel to line n.. Which one of the following angles must be congruent to 2x ? 'G. Z2 £3

Carlotta had 2 more CDS (compact discs) than Mario. Then she bought 3 CDS from Mario. Now how many more CDS does Carlotta have than Mario?

For all x and y, (2x- y)(x' + y) - ? xy+2xy-y

FoTallx, 5-3(x-4)- -3x+17 -3x+ I

(x ) is equivalent to: 60

What is the 31 Ith digit after the decimal point in the repeating decimal 0.51246 ?

The area of a square is 3.6 square inches. What is its periEneter, in inches?

What is the sum of the 2 solutions of the equation x +2x-15=0? 15 DO YOUR FIGURING HERE.

Which of the following expressions is NOT a polynomial factor of x x+fvf2

All sides of a rhombus are the same length, as illus- trated below. If one diagonal is 10 inches long and the other is 24 inches long, how many inches long is a side of the rhombus ? 13 17 .26

In the standard (x,y) coordinate plane, what is the slope. of the line joining the points (2,-7) and (5,4) ? Ii

What is the center of the circle with equation

In the standard (x,y) coordinate plane,, hvhat is the midpoint of the line segtnent that has endpoints (-1,3) .and (2,7) ? DO YOUR FIGURING HERE.

Source question 30. Refer to the source image.

In the standard (x,y) coordinate plane. what is the slope of the line given by the equation 5x - 4y = 3 ? DO YOUR FIGVRING HERE.

Source question 33. Refer to the source image.

One .route along flat terrain from Red Deer to'VEgreville' is to drive north.from Red Deer to Edrnonton abou't 150 kilometers, then, at Edmonton, to drive east for about 100 kilometers to. Vegreville. If a straight. flat road existed between Red Deer and Vegreville, about how many kilometers long wouId itbe?: 00 YOUR FIGURING HERÈ. Edmonton 100 km Vegreville 150 km Red Deer 250 12,5(K) 15,1XK) 35, The èllipse shown .below intersects any different ellipse in, at most)"Jhow many points?

Source question 35. Refer to the source image.

The Environmental Club selects its 3 officers by first selecting the president, then the vice president, and rinally the secretary. If there. are 20 members who are eligible to hold office and no member can hold more than l office, which of the following gives. the number of different possible results of the election?

Source question 37. Refer to the source image.

What value of n will satisfy the equation O.l.(n + 1,350)- 150 135

A circular fountain with a diameter of 20 meters is to be placed entirely within a rectangular plaza, 40 by 60 meters. Bricks will be laid on the entire plaza around the fountain (but n,ot under it), making it acces- sible to pedestrians. What is the approximate area. ill square meters, of the plaza that will be brick? 314 placement of the fountajn

In the standaTd.(x,y) .coordinate plane, which of the fol- lowing lines goes through (0,2) .and is parallel to DO YOUR FIGURING HERE. 2x+3 3x+2

In the figure below, cose - (2,2)

Which of the.following operations will. produce the largest result when substituted for the blank in. the , expression: 2 averaged with minus multiplied by

The value of x that will make a true state- ment lies between which of the following numbers? -3 and -1 -land O Oand I land 3 3and 5

Whenever tan'e sino is defined, it is equivalent to: cose cosa sin8 cose

If b * c, what are the real values of a that make the following inequality true? ab-ac 2b-2c 2 only only only . 48. The. volume, V, of the right circular cylinder below is given by the formula V.= 7Cr h, where r is the radius of . the base, and h is the height of the cylinder. DO YOUR FIGURINfj HERE. If r is doubled and h is halved. the new cylinder's volume, V, will be: the original volume. the original volume. 2 times the original volume.

Source question 48. Refer to the source image.

Phuong rod¢ his bike, ntostly uphill, to visit Brad. The trip to Brad's house took i minutes. Returning home, mostly downhill, Phuong was able to travel at an average speed twice that of his trip to Brad, s. Which of 'the following.is an expression for the total number of minutes Phuong bicycled on the entire trip . 3t

A wheel 29 inches in diameter rolls along a line without slipping. How many inches does the wheel roll along its pat4 in 25 revolutions?

In the figure below, a square is insen.bed in a circle of radius r. What is the perpendicular distance fro the center of the circle to'a side of the square, .in terms ofr?

The operation A is defined by the following: aAb-3+a+b-axb Forexample,4A6=3+4+6 4x6

To make a piece of jewelry, Aaron cuts out a Circular piece of metal from a larger circular piece, as shown below. The radius of the larger circle is 2 inches. If the area of the cutout is to be the same as the area of the piece that remains, what should.be the radius, in inches, of the inner circle? DO YOUR FIGURING HERE.

A movie projector emits light as shown in the top-view diagram below. To make the light projection cover the full width of a 12'foot screen without extending beyond the screen, the projector must be placed a cer- ,tain distance from the screen. Assuming the screen is .positioned directly in front of the PTojector as shown, which of the following expressions could be used to calculate the distance, in feet, from the projector to the screen? 12, screen 15° projector tanl5° tan 30° 6 tanl5° 6 tan30°

The quantity ￿ is defined when n is an integer greater than 2 and p is any nonzero real number.. Which of the following is a relationshkp between n and p that will always make ￿2p a positive integer ? is a positive integer is a positive integer 'n is greater than p

For Teal numbeIs a and b such that O < ab < a < b, which of the following graphs represents the set of all possible values for ab ?

The Recreation Department wants to build a circular wading pool in the city park. The area available for the pool is a fenced-in rectangular region 12 meters by 18 meters. If the Recreation Department wants the wading pool to be as large as possible, and the edge of the pool must be at least 2 meters from the fence all around, how many meters long should the.radius of the pool be? DO YOUR FIGURING HERE.

For any real number a, the equation | x- al=7canbe thought of as meaning "the distance on the real number line from x to a is 7 units. How far apart are the 2 solutions for x ? 7+a END OF TEST2 STOP! DO NOT TURN THE PAGE UNTIL TOLD TO DO SO. DO NOT RETURN TO THE PREVIOUS TEST.