Arithmetic and Number Properties

Question 1

Fraction for 1.5

Answer 1

3/2

Question 2

Fraction for 1.25

Answer 2

5/4

Question 3

Fraction for 1.2

Answer 3

6/5

Question 4

Prime numbers 1-10?

Answer 4

2, 3, 5, 7

Question 5

Prime numbers 30-40

Answer 5

31, 37

Question 6

Prime numbers 71-80

Answer 6

71, 73, 79

Question 7

12 x 12

Answer 7

144

Question 8

13 x 13

Answer 8

169

Question 9

14 x 14

Answer 9

196

Question 10

15 x 15

Answer 10

225

Question 11

16 x 16

Answer 11

256

Question 12

(xⁿ)(x^m)

Answer 12

x^{n<span>+</span>m}

Question 13

x^m

^______

Xⁿ

Answer 13

x^m-n

Question 14

x⁰

Answer 14

1 (unless x =0)

Question 15

(xⁿ)^m

Answer 15

x^n*m

Question 16

X^-n

Answer 16

1

Xⁿ

Question 17

(xy)ⁿ

Answer 17

xⁿyⁿ

Question 18

(a/b)ⁿ

Answer 18

aⁿ

^———–

bⁿ

Question 19

True or false, it is legal to distribute exponents over addition and subtraction

Answer 19

FALSE: it is NOT legal to distribute exponents over addition and subtraction. Exponents can only be distributed over multiplication and divsion.

Question 20

If xⁿ=x^m what must be true?

Answer 20

n=m

Question 21

What are the possible unit digits for a number ending in 7 to a power

Answer 21

7, 9, 3, 1

Question 22

How do you solve a units digit question

Answer 22

1) Figure out the repeating pattern and it’s period for powers of the unit digit of the number in question

2) Look at the power of the number. The power will be a multiple of one of the positions in the period (1, 2, 3, or 4, depedning on the period for that units digit)
3) use this information to figure out how the pattern continues (e.g. If it is a multiple of 3 then it would be association with the unit digit of the 4th position in the period)

Question 23

What are the possible unit digits for a number ending in 2 to a power?

Answer 23

2, 4, 8, 6

Question 24

What are the possible unit digits for a number ending in 3 to a power?

Answer 24

3, 9, 7, 1

Question 25

What are the possible unit digits for a number ending in 4 to a power?

Answer 25

4, 6

Question 26

Which numbers have unit digit patterns of themselves?

Answer 26

0, 1, 5, 6

Question 27

What are the possible unit digits for a number ending in 7 to a power?

Answer 27

7, 9, 3, 1

Question 28

What are the possible unit digits for a number ending in 8 to a power?

Answer 28

8, 4, 2, 6

Question 29

What are the possible unit digits for a number ending in 9 to a power?

Answer 29

9, 1

Question 30

On the GRE, when do you include both the positive and the negative square root?

Answer 30

If the radical sign is written as part of the question by the test makers, the only consider positive square roots.

If you yourself take the square root as one of the steps to solving a problem, then you must consider BOTH positive and negative square roots.

Question 31

the square root of 2 is approximately?

Answer 31

1.2

Question 32

the square root of 3 is approximately?

Answer 32

1.7

Question 33

the square root of 5 is approximately?

Answer 33

2.2

Question 34

a^xb^x

Answer 34

ab^x

Question 35

What are the prime numbers from 10-20

Answer 35

11, 13, 17, 19

Question 36

What are the prime numbers from 20-30

Answer 36

23, 29

Question 37

What are the prime numbers from 40-50?

Answer 37

41, 43, 47

Question 38

What are the prime numbers from 50-60?

Answer 38

53, 59

Question 39

What are the prim numbers from 60-70

Answer 39

61, 67

Question 40

What are the prime numvers from 80-90?

Answer 40

83, 89

Question 41

What are the prime numbers from 90-100

Answer 41

97