NES Elementary Subtest II 2 Math Only (NO GEOMETRY)
Study online at https://quizlet.com/_9bsv94
1. IMPORTANT!!! Pearson front loads the test with very tricky questions that take a lot of time. I
READ THE BACK OF Highly recommend skipping the first 30 questions at first and doing them last.
THIS CARD IF YOU Don't even look at them!!!! Most of the questions on the last 2/3rds of the test
ARE TAKING are quick and sometimes easy. (if you are prepared.) It took me 40 minutes to
PEARSONS NES do the first 15 problems on the exam and I freaked out and was SURE I would
SUBTEST II FOR run out of time well before I could finish. I said "forget it" to the math and
ELEMENTARY!!! skipped the rest of it. Sure enough the last 40 questions only took me 20-30
ALSO, DO I minutes so I had plenty of time to go back carefully complete everything I left
WOULD NOT REC- behind. Another option would be to flag and skip every problem that looks like
OMMEND TAKING it will take more than a minute. I got a 281 but probably would have done a
THIS EXAM RE- lot better if I didn't get so rattled at the beginning of the test. I took 2 years
MOTELY BECAUSE of calc in college a long time ago (science side not easy arts side calc) and
YOU ARE NOT AL- still found the questions unfamiliar, VERY awkward, time consuming and tricky.
LOWED TO USE GOOD LUCK!!!!
SCRATCH PAPER IF
TAKING REMOTE-
LY!!! MANY OF
MATH PROBLEMS
ARE VERY DIF-
FICULT WITHOUT
SCRATCH. THE OF-
FICIAL PRACTICE
TEST IS MUCH
SIMPLER TO DO
WITHOUT SCRATCH
THAN THE ACTU-
AL TEST!!! TRUST
ME ON THIS...OR
DON'T...
2. Natural Numbers Counting numbers. 1, 2, 3, etc. Does not include zero.
, NES Elementary Subtest II 2 Math Only (NO GEOMETRY)
Study online at https://quizlet.com/_9bsv94
3. Whole numbers positive numbers, including zero, without any decimal or fractional parts.
Includes all natural numbers plus zero.
4. Integers The set of whole numbers and their opposites {. . .-2, -1, 0, 1, 2. . .}. You may
need to remember that all non zero ________________ are also fraction (e.g.
1/1=1, 5/1=5).
5. rational number Any number that can be expressed as a ratio of two integers. Any number that
can be a fraction. Remember that 0 is a rational number because 0/X is equal to
zero. Also all integers are also rational numbers because they could be written
as a fraction.
6. Reciprocal The multiplicative inverse of a number. For example the multiplicative inverse
5 is equal to 1/5. Or 1/3 is equal to 3/1. Remember that a number multiplied
by is multiplicative inverse is 1 (e.g. (1/2)*(2/1)=1)
7. Real numbers Combining the rational numbers with the irrational numbers results in this
set of numbers. Includes numbers with non-repeating and non-terminating
decimals (think of pie as an example) as well as all rational numbers.
8. irrational numbers Numbers that cannot be expressed as a ratio of two integers. Their decimal
expansions are nonending and nonrepeating. These numbers cannot be
shown as a fraction.
9. Associative Proper- Changing the grouping of numbers will NOT change the value. For example:
ty (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication
10. Communative Number order can be changed without changing the answer. For example
Property 1x2=2 and 2x1=2. Works with addition and multiplication.
11. Distributive Proper- a(b + c) = ab + ac. Think about why we FOIL.
ty
12.
, NES Elementary Subtest II 2 Math Only (NO GEOMETRY)
Study online at https://quizlet.com/_9bsv94
Exponentiation Repeated multiplication. An exponent is often called a power. For example, the
(shown by "^") third power of 2 is:
2^³ = 1 × 2 × 2 × 2 = 8
13. negative exponent A negative exponent indicates a reciprocal and is the result of repeated divi-
(shown by "-^") sion. For example 2^-3 = 1/8. Shown by 1/2=1/2, (1/2)/2=1/4, (1/4)/2=1/8.
Or 1 × 1/2 × 1/2 × 1/2 = 1/8. Remember 2^-3 is the same thing as 1/(2^3).
14. Powers of 1 10^1=10, 253^1=253 etc.
15. Powers of zero All Powers of zero are equal to 1. Search "powers of zero explained" on Youtube
for a great Khan Academy explanation.
16. 10 to the X Power (10^0=1, 10^1=10,10^2=100) Notice the pattern. The exponent dictates the
number of zeros to the right of the 1. A negative exponent dictates the number
of zeros to the left of 1 (10^-1= 1/10 or 0.1, 10^-2=1/100 or 0.01)
17. Place Value made For the test you will need to understand basic principles of place value. For
complicated example the 8 in 34,899 has the value of 800. But you may also have a question
that checks for your understanding of place value using more complicated
structure. For example: The number 945 = [(9 × 10^2) + (4 × 10^1) + (5 ×
10^0)]
18. Rounding You may need to round numbers to the nearest place and also nearest decimal.
For example 35 rounded to the nearest ten is 40.
3.356 rounded to the nearest 100th is 3.36.
I pray that you already know how to do this (:
19. Convert a fraction First do you know what 1/8 is? If not do this. Start with a familiar component
into a decimal in of this fraction. Like 4/8 = .5. Now half of .5 is .25 (or 2/8), Now half of .25 is
your head. Try it .125 (or 1/8). Each eight is worth .125 so now .125 + .125 + .125 = .375. So
with 3/8. 3/8 converted to a decimal is .375.
20.
Study online at https://quizlet.com/_9bsv94
1. IMPORTANT!!! Pearson front loads the test with very tricky questions that take a lot of time. I
READ THE BACK OF Highly recommend skipping the first 30 questions at first and doing them last.
THIS CARD IF YOU Don't even look at them!!!! Most of the questions on the last 2/3rds of the test
ARE TAKING are quick and sometimes easy. (if you are prepared.) It took me 40 minutes to
PEARSONS NES do the first 15 problems on the exam and I freaked out and was SURE I would
SUBTEST II FOR run out of time well before I could finish. I said "forget it" to the math and
ELEMENTARY!!! skipped the rest of it. Sure enough the last 40 questions only took me 20-30
ALSO, DO I minutes so I had plenty of time to go back carefully complete everything I left
WOULD NOT REC- behind. Another option would be to flag and skip every problem that looks like
OMMEND TAKING it will take more than a minute. I got a 281 but probably would have done a
THIS EXAM RE- lot better if I didn't get so rattled at the beginning of the test. I took 2 years
MOTELY BECAUSE of calc in college a long time ago (science side not easy arts side calc) and
YOU ARE NOT AL- still found the questions unfamiliar, VERY awkward, time consuming and tricky.
LOWED TO USE GOOD LUCK!!!!
SCRATCH PAPER IF
TAKING REMOTE-
LY!!! MANY OF
MATH PROBLEMS
ARE VERY DIF-
FICULT WITHOUT
SCRATCH. THE OF-
FICIAL PRACTICE
TEST IS MUCH
SIMPLER TO DO
WITHOUT SCRATCH
THAN THE ACTU-
AL TEST!!! TRUST
ME ON THIS...OR
DON'T...
2. Natural Numbers Counting numbers. 1, 2, 3, etc. Does not include zero.
, NES Elementary Subtest II 2 Math Only (NO GEOMETRY)
Study online at https://quizlet.com/_9bsv94
3. Whole numbers positive numbers, including zero, without any decimal or fractional parts.
Includes all natural numbers plus zero.
4. Integers The set of whole numbers and their opposites {. . .-2, -1, 0, 1, 2. . .}. You may
need to remember that all non zero ________________ are also fraction (e.g.
1/1=1, 5/1=5).
5. rational number Any number that can be expressed as a ratio of two integers. Any number that
can be a fraction. Remember that 0 is a rational number because 0/X is equal to
zero. Also all integers are also rational numbers because they could be written
as a fraction.
6. Reciprocal The multiplicative inverse of a number. For example the multiplicative inverse
5 is equal to 1/5. Or 1/3 is equal to 3/1. Remember that a number multiplied
by is multiplicative inverse is 1 (e.g. (1/2)*(2/1)=1)
7. Real numbers Combining the rational numbers with the irrational numbers results in this
set of numbers. Includes numbers with non-repeating and non-terminating
decimals (think of pie as an example) as well as all rational numbers.
8. irrational numbers Numbers that cannot be expressed as a ratio of two integers. Their decimal
expansions are nonending and nonrepeating. These numbers cannot be
shown as a fraction.
9. Associative Proper- Changing the grouping of numbers will NOT change the value. For example:
ty (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication
10. Communative Number order can be changed without changing the answer. For example
Property 1x2=2 and 2x1=2. Works with addition and multiplication.
11. Distributive Proper- a(b + c) = ab + ac. Think about why we FOIL.
ty
12.
, NES Elementary Subtest II 2 Math Only (NO GEOMETRY)
Study online at https://quizlet.com/_9bsv94
Exponentiation Repeated multiplication. An exponent is often called a power. For example, the
(shown by "^") third power of 2 is:
2^³ = 1 × 2 × 2 × 2 = 8
13. negative exponent A negative exponent indicates a reciprocal and is the result of repeated divi-
(shown by "-^") sion. For example 2^-3 = 1/8. Shown by 1/2=1/2, (1/2)/2=1/4, (1/4)/2=1/8.
Or 1 × 1/2 × 1/2 × 1/2 = 1/8. Remember 2^-3 is the same thing as 1/(2^3).
14. Powers of 1 10^1=10, 253^1=253 etc.
15. Powers of zero All Powers of zero are equal to 1. Search "powers of zero explained" on Youtube
for a great Khan Academy explanation.
16. 10 to the X Power (10^0=1, 10^1=10,10^2=100) Notice the pattern. The exponent dictates the
number of zeros to the right of the 1. A negative exponent dictates the number
of zeros to the left of 1 (10^-1= 1/10 or 0.1, 10^-2=1/100 or 0.01)
17. Place Value made For the test you will need to understand basic principles of place value. For
complicated example the 8 in 34,899 has the value of 800. But you may also have a question
that checks for your understanding of place value using more complicated
structure. For example: The number 945 = [(9 × 10^2) + (4 × 10^1) + (5 ×
10^0)]
18. Rounding You may need to round numbers to the nearest place and also nearest decimal.
For example 35 rounded to the nearest ten is 40.
3.356 rounded to the nearest 100th is 3.36.
I pray that you already know how to do this (:
19. Convert a fraction First do you know what 1/8 is? If not do this. Start with a familiar component
into a decimal in of this fraction. Like 4/8 = .5. Now half of .5 is .25 (or 2/8), Now half of .25 is
your head. Try it .125 (or 1/8). Each eight is worth .125 so now .125 + .125 + .125 = .375. So
with 3/8. 3/8 converted to a decimal is .375.
20.
