NMT Review 1/30/26

Multiple Choice

• 7
• 1

• 3

• 9

• 0

Multiple Choice

• 4
• 1

• 2

• 3

• 6

Multiple Choice

• -50
• 50

• 100

• -100

• 0

Multiple Choice

• -1000
• 1000

• 2000

• -2000

• 1

Multiple Choice

• 8
• 4

• 6

• 10

• 3

Multiple Choice

• 34
• 28

• 18

• 24

• 43

Open Ended

Compare the process of finding the area of a rectangle when the perimeter and the ratio of length to width are given, as shown in images 0 and 1. What steps remain the same, and what changes?

Multiple Choice

Bob can finish a job in 20 minutes. If Anna can finish the same job in 10 minutes, how many minutes (to the nearest whole number less than the actual value) will it take if both of them do the job together?

• 6
• 5

• 7

• 8

• 10

Fill in the Blank

If the perimeter of a rectangle is 60 cm and the length is four times the width, what is the area of the rectangle?

Multiple Choice

Bob can finish a job in 10 minutes. If Anna can finish the same job in 12 minutes, how many minutes (to the nearest whole number less than the actual value) will it take if both of them do the job together?

• 5
• 6

• 7

• 8

• 9

Multiple Choice

Which of the following formulas can be used to determine the number of diagonals in an n-sided polygon?

• n(n-3)/2

• n(n-2)/2

• n(n-1)/2

• n/2

Fill in the Blank

How many diagonals does a dodecagon (12-sided polygon) have?

Multiple Choice

• -4
• 4

• 3

• 1

• -1

Multiple Choice

• -5
• -1

• 13

• -13

• 5

Multiple Choice

If 10 people each shake hands with every other person exactly once, how many handshakes will there be in total?

• 45

• 20

• 90

• 36

Multiple Choice

__ sq. cm

• 36
• 30

• 34

• 120

• 100

Multiple Choice

If two sides of a triangle are 8 and 24, what is the range of possible integer values for the third side?

• 17 to 31

• 8 to 24

• 16 to 32

• 1 to 15

Multiple Choice

--sq. cm.

• 144
• 120

• 240

• 225

• 100

Multiple Choice

In how many ways can you draw two cards from a standard deck such that one is red and the other is black?

• 676

• 52

• 26

• 104

Multiple Choice

• 54
• 60

• 40

• 66

• 72

Multiple Choice

Arthur and Molly Weasley have 6 sons and a daughter. In how many ways can the siblings be arranged in a straight line?

• 5040

• 720

• 120

• 40320

Multiple Choice

How many positive integer solutions (𝑥,𝑦) does $$\frac{1}{x}+\frac{1}{y}=\frac{1}{9}$$ have?

• 5
• 6

• 7

• 8

• 9

Fill in the Blank

The sum of the coefficients of the expansion of (x + y)^8 is ___.

Multiple Choice

At the end of the Miting de Avance, seven presidentiables shake hands with each other once. How many handshakes will be there altogether?

• 6

• 7

• 14

• 21

• 42

Open Ended

Explain how you would find the area of a triangle if you are given the lengths of its two legs.

Multiple Choice

During a class reunion, 10 alumni meet each other. Each pair shakes hands exactly once. How many handshakes will there be in total?

• 9

• 10

• 20

• 45

• 90

Multiple Select

Which of the following are valid solutions for p in the equation p = √(30 + √(30 + √(30 + ... )))?

• 6

• -5

• 0

• 5

Multiple Choice

Two sides of a triangle are given to be 10 and 20. If the third side must be an integer, how many possible values does the third have?

• 10

• 18

• 19

• 20

• 29

Fill in the Blank

The ones digit of 2023^2023 is ___

Open Ended

Reflecting on the lesson about finding the ones digit of large exponents, what strategies did you find most helpful, and is there anything you would like to know more about this topic?

Multiple Choice

Two sides of a triangle are given to be 8 and 24. If the third side must be an integer, how many possible values does the third have?

• 15

• 16

• 17

• 18

• 19

Multiple Choice

In how many ways can you draw two cards from a standard deck of cards such that one is a red card and the other is a black card?

• 26

• 52

• 104

• 338

• 676

Multiple Choice

Arthur and Molly Weasley have 6 sons and a daughter. In how many ways can the siblings be arranged in a straight line?

• 7

• 42

• 720

• 2520

• 5040

Multiple Choice

• 1

• 8

• 64

• 128

• 256

Multiple Choice

• 6

• 5

• 4

• 1

• -6

Multiple Choice

• 6

• 7

• 8

• 9

• 10