Quant Practice Questions for ACT - 2 | Mathematics for ACT PDF Download
Q1: There are 5 cherry, 7 orange, and 4 grape lollipops in a box. If you pick a lollipop from the box without looking, what is the probability that it will be orange or grape?
(a) 11/16
(b) 25
(c) 16/11
(d) 30/25
View AnswerAns: (a)
Q2: The price of a certain stock rose from $60 a share to $65 a share. What was the percent of increase?
(a) 8(1/3)
(b) 2/3
(c) 16/11
(d) 2(1/2)
View AnswerAns: (a)
To find the percent of increase, form the fraction:
Q3: What is the decimal equivalent of 5/8 ?
(a) 7
(b) 23
(c) .625
(d) 2.9
View AnswerAns: (c)
To express a decimal as a percent, “move” the decimal point 2 places to the right and write the % sign.
Q4: If Sarah can type 4 pages in 12 minutes, how long will it take her to type a 16-page report, working at the same rate?
(a) 48
(b) 12
(c) 90
(d) 6
View AnswerAns: (a) To solve a problem involving proportions, set up a ratio that describes a rate or compares the first two terms. In the example, setting up a ratio with the first two terms gives:
4 pages/12 min.
Next, set up a second ratio that compares the third term and the missing term. Letting x stand for the missing term, the second ratio is:
16 pages/x min
To solve for the missing term, set up a proportion where the ratios are equal:
You may solve the proportion by cross multiplication.
Sarah can type the report in 48 minutes.
Q5: What is the product of (-6) and (-5)?
(a) 34
(b)12
(c) 98
(d) 30
View AnswerAns: (d)
The signs are alike, the answer is positive.
(-6)(-5) = + 30
Q6: The sum of three consecutive integers is 57. Find the numbers.
(a) 34
(b)12
(c) 98
(d) 30
View AnswerAns: 57
Step 1. Read carefully.
Step 2. Let x = first consecutive integer
x + 1 = second consecutive integer
x + 2 = third consecutive integer
Step 3. x + (x + 1) + (x + 2) = 57
3x + 3 = 57
3x = 54
Step 4. x = 18
Step 5. If x = 18, then x + 1 = 19, and
x + 2 = 20.
Therefore, the 3 consecutive
integers are 18, 19, and 20.
Step 6. 18, 19, and 20 are consecutive
integers, and 18 + 19 + 20 = 57.
Q7: What is the value of 6 – 5 × 4 + 6 ÷ 3 + 4?
(a) 78
(b) 36
(c) 18
(d) -8
View AnswerAns: (d)
Do the multiplications and divisions first, to give:
6 – 20 + 2 + 4
Then do the additions, left to right:
-14 + 2 + 4
-12 + 4
-8
If a numerical expression contains parentheses or brackets, roots, or powers, the order of operations is as follows. Perform all work within the parentheses/brackets first. Startwith the innermost parentheses/brackets and work outward.
Q8: What is the decimal equivalent of 9/20.
(a) .45
(b) 32
(c) 10
(d) 56
View AnswerAns: (a)
Q9: If 3(x + 5) = 51, then x = ?
(a) 12
(b) 8
(c) 10
(d) 0
View AnswerAns: (a)
Remove the parentheses (distributive law):
3x + 15 = 51
Subtract 15 from both sides:
3x + 15 – 15 = 51 – 15
3x = 36
Divide both sides by 3:
Q10: A local delivery service charges $1.80 for the first 2/5 mile, $1.50 for the next 3/5 mile, and $1.20 per mile thereafter. What is the cost to deliver a parcel to a company that is five miles away?
(a) 8.10
(b) 10.6
(c) 9.8
(d) 5.5
View AnswerAns: (a)
Cost for first 2/5 mile = $1.80.
Cost for next 3/5 mile = $1.50
Since 
or 1 mile, the cost of the first mile = $1.80 + 1.50 = $3.30. The trip is five miles; therefore, the four additional miles cost 4 × $1.20 = $4.80. Total cost = $3.30 + $4.80 = $8.10.
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