zHunter Test math *ESSENTIALS* -- VG learning now

Question 1

Can you divide by 0?
x / 0 = ?

Answer 1

No, dividing by zero is “undefined”

Question 2

Zero divided by any number?
0 / x = ?

Answer 2

It is still zero.
0 / x = 0

Question 3

Zero multiplied by any number equals…?

Answer 3

Always zero

Question 4

Is zero even or odd?

Answer 4

Even

Question 5

Is zero positive or negative?

Answer 5

Neither! Zero isn’t positive nor is it negative.

Question 6

What is the order of operations?

Answer 6

1. Parenthesis
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction

PEMDAS

Question 7

What happens when you multiply or divide two negative numbers?

Answer 7

You get a positive.

Question 8

Squares: 0^2
(aka 0 squared)

Answer 8

0

Question 9

What do you get when you multiply or divide one negative and one positive number?

Answer 9

A negative number

Question 10

1/100 as a percent

Answer 10

1%

Question 11

1/10 as a percent

Answer 11

10%

Question 12

1/4 as a percent

Answer 12

25%

Question 13

1/3 as a percent

Answer 13

33% (rounded)
33.3333333333…%

Question 14

1/2 as a percent

Answer 14

50%

Question 15

3/4 as a percent

Answer 15

75%

Question 16

1 as a percent

Answer 16

100%

Question 17

4/5 as a percent

Answer 17

80%

Question 18

2/3 as a percent

Answer 18

67% (rounded)
66.666666667…%

Question 19

Is 1 a prime number?

Answer 19

Nope!

Question 20

Any number to the zero power…

Answer 20

…equals 1

Question 21

Any number to the first power…

Answer 21

…is itself.

Question 22

Probability: When you’re asked what are the chances of two (or more) things happening together – how do you solve?

i.e. You have two coins. What is the probability that both will land heads up?

Answer 22

You multiply all the probabilities.

i.e. The chance of one coin landing heads up is 1/2. So if you have two coins, the probability both will land heads up is:
1/2 x 1/2 = 1/4

Question 23

Probability: You may be asked the chances of either one thing or another thing happening – how do you solve?

i.e. A box of 12 crayons has 2 reds and 3 greens. What is the probability you will pick out either a red or a green crayon?

Answer 23

Add the probabilities.
i.e. A 2/12 chance of red crayon plus a 3/12 chance of green crayon means a 5/12 chance of either red or green crayon.

Question 24

Permutations: How to approach problems with “permutations”?

These problems ask you how many ways a group of things can be arranged when you care about the order.

Like:
“How many ways can you arrange the letters A, B and C?”
or
“How many ways can you arrange A, B, C, D, E, F and G?”

Answer 24

SMALL PERMUTATIONS: When the amount of permutations is pretty small, go through all possible permutations methodically.
i.e. “How many ways can you arrange the letters A, B and C?”
First, permutations starting with A: ABC, ACB
Then, permutations starting with B: BAC, BCA
Finally, permutations starting with C: CAB, CBA
So 6 total permutations

LARGE PERMUTATIONS: When the amount of permutations is LARGE, find the pattern.
i.e. “How many ways can you arrange A, B, C, D, E, F and G?”
Imagine seven slots (because there are seven letters in the question: __, __, __, __, __, __ and ____

The first slot has seven possible letters, so write 7, __, __, __, __, ____ and ____

The second slot has 6 possible letters because one is already in the first slot. So 7, 6, __, __, __, __ and ____

The third slot has five possible letters because two have been placed: 7, 6, 5, __, __, ____ and ____

And so on, until you have 7, 6, 5, 4, 3, 2, 1.

Finally multiply all the numbers together: 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040 (!!!!)

Question 25

Squares: 1^2 (that is: 1 squared)

Answer 25

1

Question 26

Squares: 2^2 (aka 2 squared)

Answer 26

4

Question 27

Squares: 3^2 (aka 3 squared)

Answer 27

9

Question 28

Squares: 4^2 (aka 4 squared)

Answer 28

16

Question 29

Squares: 5^2 (aka 5 squared)

Answer 29

25

Question 30

Squares: 6^2 (aka 6 squared)

Answer 30

36

Question 31

Squares: 7^2 (aka 7 squared)

Answer 31

49

Question 32

Squares: 8^2 (aka 8 squared)

Answer 32

64

Question 33

Squares: 9^2 (aka 9 squared)

Answer 33

81

Question 34

Squares: 10^2 (aka 10 squared)

Answer 34

100

Question 35

Squares: 11^2 (aka 11 squared)

Answer 35

121

Question 36

Squares: 12^2 (aka 12 squared)

Answer 36

144

Question 37

Squares: 13^2 (aka 13 squared)

Answer 37

169

Question 38

Squares: 14^2 (aka 14 squared)

Answer 38

196

Question 39

Squares: 15^2 (aka 15 squared) | IMPORTANT ONE TO MEMORIZE

Answer 39

225

Question 40

Squares: 16^2 (aka 16 squared) ## Footnote IMPORTANT ONE TO MEMORIZE

Answer 40

256

Question 41

Squares: 17^2 (aka 17 squared)

Answer 41

289

Question 42

Squares: 18^2 (aka 18 squared)

Answer 42

324

Question 43

Squares: 19^2 (aka 19 squared)

Answer 43

361

Question 44

Squares: 20^2 (aka 20 squared)

Answer 44

400

Question 45

Squares: 25^2 (aka 25 squared) ## Footnote IMPORTANT ONE TO MEMORIZE

Answer 45

625

Question 46

Cubes: 2^3 (aka 2 cubed, 2 to the third power)

Answer 46

8

Question 47

Cubes: 3^3 (aka 3 cubed, 3 to the third power)

Answer 47

27

Question 48

Cubes: 4^3 (aka 4 cubed, 4 to the third power)

Answer 48

64

Question 49

Cubes: 5^3 (aka 5 cubed, 5 to the third power)

Answer 49

125

Question 50

Cubes: 6^3 (aka 6 cubed, 6 to the third power)

Answer 50

216

Question 51

Cubes: 7^3 (aka 7 cubed, 7 to the third power)

Answer 51

343

Question 52

Cubes: 8^3 (aka 8 cubed, 8 to the third power)

Answer 52

512

Question 53

Cubes: 10^3 (aka 10 cubed, 10 to the third power)

Answer 53

1000

Question 54

2^4 2 to the fourth power

Answer 54

16

Question 55

3^4 3 to the fourth power

Answer 55

81

Question 56

4^4 4 to the fourth power

Answer 56

256

Question 57

5^4 5 to the fourth power

Answer 57

625

Question 58

6^4 6 to the fourth power

Answer 58

1,296

Question 59

7^4 7 to the fourth power

Answer 59

2,401

Question 60

Cubes: 9^3 (aka 9 cubed, 9 to the third power)

Answer 60

729

Question 61

1/5 as a percent

Answer 61

20%

Question 62

2/5 as a percent

Answer 62

40%

Question 63

3/5 as a percent

Answer 63

60%