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# Tip #9 to Get a Top ACT Math Score

By McGraw-Hill Professional
Updated on Sep 7, 2011

Students come into my office and say, "I can't do this question because I don't know what consecutive means." I get to say, "Oh cool, it just means numbers in a row, like 4, 5, 6." Then the question becomes easy. In fact, for some questions, the only hard part is knowing the vocabulary, and once you know the terms, the questions are easy. That's why I love these next four Skills; memorize the terms, practice using them in the drills, and you will absolutely gain points, guaranteed. Also, once you know the terms, watch for them and underline them when they appear. That will eliminate many careless errors.

Here are the first nine math vocabulary terms:

Real number—You can ignore this term, it just means any number: –3, –2.2, 0, , π.

Constant term—This word really throws some kids, but it just means a letter in place of number, kinda like a variable, except that it won't vary.

Integer—Numbers without decimals or fractions: –3, –2, –1, 0, 1, 2, 3,…

Even/odd—Even numbers: 2, 4, 6, 8,… ; odd numbers: 1, 3, 5, 7,… The number 0 is considered even.

Positive/negative—Positive numbers are greater than 0. Negative numbers are less than 0.

Consecutive numbers—Numbers in a row: 7, 8, 9, 10.

Different numbers—Numbers that are… ummm… different.

Prime—A number whose only factors are 1 and itself. The numbers 2, 3, 5, 7, 11, 13, 17,… are prime. Note: The number 1 is NOT considered prime, and the number 2 is the only even prime number.

Units digit—Just a fancy term for the "ones" digit in a number, like the 2 in 672.

Let's look at this question:

Solution: List the primes less than 20: 2, 3, 5, 7, 11, 13, 17, 19. All are odd except 2. Remember that 1 is not a prime number. So there are 7 odd prime numbers less than 20.

### Easy

1. For all real numbers x, what integer values satisfy the equation 2x2 = 50 ?
1. 25 only
2. 5 only
3. –5 only
4. –5 and 5 only
5. –5, 5, and 25 only
2. If the sum of three consecutive odd integers is 33, what is the value of the largest of the three integers?
1. 7
2. 9
3. 11
1. 13
2. 15
3. ### Medium

4. If 2 consecutive prime numbers have a sum of 42, what is the larger number?
1. 17
2. 19
3. 23
4. 27
5. 29
5. Two consecutive odd integers have a sum of –32. Which of the following is NOT a justified conclusion?
1. Both numbers are negative.
2. The lesser number is –15.
3. Both numbers are greater than –20.
4. Both numbers are less than –10.
5. One of the numbers is a factor of 60.
6. ### Hard

7. Which of the following is a list of all positive integers between 40 and 46 that are not consecutive odd prime numbers?
1. 42, 44, and 45
2. 42, 43, and 44
3. 41, 42, 43, and 44
1. 41 and 45
2. 42 and 44