ACT Math Test 2024 GRADED A+ FULLY SOLVED TOP
PREDICTION
There are 600 school children in the Lakeville district. If 54 of them are high school
seniors, what is the percentage of high school seniors in the Lakeville district?
a. .9%
b. 2.32%
c. 9%
d. 11%
e. 90% - ANSWER: C. First, we need to figure out what percent 54 is of 600. It's pretty
small, definitely way less than 50%, so we can eliminate (E) right off the bat. Now,
think about easy percentages that you know-10 and 25%-and start from there.
What's 10% of 600 is 60. Let's get rid of (D). Now, we know that 54 is pretty close to
60, so we want something close to 10% but slightly less, and the only possible
answer is (C).
What is the value of 3x^2+5x-7 when x=-1
a. -15
b. -9
c. -1
d. 5
e. 15 - ANSWER: b. First replace x with -1. 3(-1)^2+5(-1). When working with negative
numbers or fractions, make doubly sure that you use parentheses. If not, it will mess
you up. Use your calculator to get -9.
Each member in a club had to choose an activity for a day of volunteer work. 1/3 of
the members chose to pick up trash. 1/4 of the remaining members chose to paint
fences. 5/6 of the members still without tasks chose to clean school buses. The rest
of the members chose to plant trees. IF the club has 36 members, how many of the
members chose to plant trees?
a. 3
b. 6
c. 9
d. 12
e. 15 - ANSWER: A. Total 36 members. Know 1/3 of those members chose to pick up
trash. 1/3 of 36 is 12. (36-12= 24) Of the 24 members left 1/4 chose to paint fences.
1/4 of 24 is 6. (24-6=18) Of the 18 left 5/6 chose to clean buses. 5/6 of 18 is 15. (18-
15=3 ) Which leaves you with 3 students to plant trees.
(-81, -19, -9, -6, -1/4, -0.15, 0, 1.75, 2, 3, 12,16, 81)
1. List all the positive numbers.
2. List all the negative integers.
3. List all the odd integers.
4. List all the even integers.
5. List all the positive, even integers in consecutive order.
, 6. List all the numbers that are neither positive nor negative. - ANSWER: 1. 1.75, 2, 3,
12, 16, 81
2. -81, -19, -9, -6
3. -81, -19, -9, 3, 81
4. -6, 0, 2, 12,16
5. 2, 12, 16
6. 0
What is the reciprocal of - 1/4? - ANSWER: -4
What is the opposite reciprocal of 2? - ANSWER: - 1/2
When a number and its reciprocal are multiplied, what is the product? - ANSWER: 1
1. How many times does 2 go into 15 evenly?
2. How much is left over?
3. What is 15 divided by 2? - ANSWER: 1. 7
2. 1
3. 7 R 1 (7 remainder 1)
(number, integer, positive, negative, even, odd, consecutive, reciprocal, remainder)
1. Which terms describe the number 6?
2. Which terms describe the number - 1/5?
3. Which terms describe the number 0?
4. When 14 is divided by 3, it has a ____________________________ of 2.
5. The _______________________ of -1/4 is -4.
6. The numbers 2, 4, 6, are listed in _______________order, but the numbers 3, 1,
14 are not. - ANSWER: 1. Number, Integer, Positive, Even
2. Number, Negative
3. Number, Integer, Even
4. Remainder
5. Reciprocal
6. Consecutive
(A prime number is any number with only two distinct factors:
1 and itself.)
1. What are the single digit prime numbers?
2. What is the only even prime number?
3. Is 1 a prime number? - ANSWER: 1. 2, 3, 5, 7
2. 2
3. No, it does not have two distinct factors.
The prime factorization of a number is the reduction of a number to its prime
factors. Find the prime factorization of a number by using a factor tree.
1. What is the prime factorization of 36?
2. What is the sum of all the prime factors of 36?
PREDICTION
There are 600 school children in the Lakeville district. If 54 of them are high school
seniors, what is the percentage of high school seniors in the Lakeville district?
a. .9%
b. 2.32%
c. 9%
d. 11%
e. 90% - ANSWER: C. First, we need to figure out what percent 54 is of 600. It's pretty
small, definitely way less than 50%, so we can eliminate (E) right off the bat. Now,
think about easy percentages that you know-10 and 25%-and start from there.
What's 10% of 600 is 60. Let's get rid of (D). Now, we know that 54 is pretty close to
60, so we want something close to 10% but slightly less, and the only possible
answer is (C).
What is the value of 3x^2+5x-7 when x=-1
a. -15
b. -9
c. -1
d. 5
e. 15 - ANSWER: b. First replace x with -1. 3(-1)^2+5(-1). When working with negative
numbers or fractions, make doubly sure that you use parentheses. If not, it will mess
you up. Use your calculator to get -9.
Each member in a club had to choose an activity for a day of volunteer work. 1/3 of
the members chose to pick up trash. 1/4 of the remaining members chose to paint
fences. 5/6 of the members still without tasks chose to clean school buses. The rest
of the members chose to plant trees. IF the club has 36 members, how many of the
members chose to plant trees?
a. 3
b. 6
c. 9
d. 12
e. 15 - ANSWER: A. Total 36 members. Know 1/3 of those members chose to pick up
trash. 1/3 of 36 is 12. (36-12= 24) Of the 24 members left 1/4 chose to paint fences.
1/4 of 24 is 6. (24-6=18) Of the 18 left 5/6 chose to clean buses. 5/6 of 18 is 15. (18-
15=3 ) Which leaves you with 3 students to plant trees.
(-81, -19, -9, -6, -1/4, -0.15, 0, 1.75, 2, 3, 12,16, 81)
1. List all the positive numbers.
2. List all the negative integers.
3. List all the odd integers.
4. List all the even integers.
5. List all the positive, even integers in consecutive order.
, 6. List all the numbers that are neither positive nor negative. - ANSWER: 1. 1.75, 2, 3,
12, 16, 81
2. -81, -19, -9, -6
3. -81, -19, -9, 3, 81
4. -6, 0, 2, 12,16
5. 2, 12, 16
6. 0
What is the reciprocal of - 1/4? - ANSWER: -4
What is the opposite reciprocal of 2? - ANSWER: - 1/2
When a number and its reciprocal are multiplied, what is the product? - ANSWER: 1
1. How many times does 2 go into 15 evenly?
2. How much is left over?
3. What is 15 divided by 2? - ANSWER: 1. 7
2. 1
3. 7 R 1 (7 remainder 1)
(number, integer, positive, negative, even, odd, consecutive, reciprocal, remainder)
1. Which terms describe the number 6?
2. Which terms describe the number - 1/5?
3. Which terms describe the number 0?
4. When 14 is divided by 3, it has a ____________________________ of 2.
5. The _______________________ of -1/4 is -4.
6. The numbers 2, 4, 6, are listed in _______________order, but the numbers 3, 1,
14 are not. - ANSWER: 1. Number, Integer, Positive, Even
2. Number, Negative
3. Number, Integer, Even
4. Remainder
5. Reciprocal
6. Consecutive
(A prime number is any number with only two distinct factors:
1 and itself.)
1. What are the single digit prime numbers?
2. What is the only even prime number?
3. Is 1 a prime number? - ANSWER: 1. 2, 3, 5, 7
2. 2
3. No, it does not have two distinct factors.
The prime factorization of a number is the reduction of a number to its prime
factors. Find the prime factorization of a number by using a factor tree.
1. What is the prime factorization of 36?
2. What is the sum of all the prime factors of 36?
