JROTC Academics Team Math Answer Sheet 2023

Which of the following lists of numbers are in order from greatest to least? A) -8,-9,-10,-11 B) 9,10,11,12 C) -9,-8,-7,-6 D) 6,8,10,12

A) -8,-9,-10,-11

What is the answer to the following expression? (4+10+6-9+1-10-11) A) -9 B) 9 C) 0 D) 5 E) None of the choices

A) -9

Simplify 81/243 A) 1/3 B) 1/4 C) 1/6 D) 2/6

A) 1/3

Find the answer choice that is equivalent to the fraction: 222/884 A) 111/442 B) 111/222 C) 111/444 D) 111/443

A) 111/442

3 x 4 = A) 12 B) 8 C) 7 D) 16

A) 12

11 x 11 = A) 121 B) 24 C) 79 D) 321

A) 121

Find the answer choice that is equivalent to the fraction: 28/50 A) 14/15 B) 12/24 C) 6/38 D) 45/80

A) 14/15

Simplify: 4^3 - (8.5 - 2 ∙ 1.25)^2/ 3 + 3/4 + (1 + 1/2)^2 -1 A) 28/5 B) 112/13 C) 2 D) -7.4801571 E) 4 2/3

A) 28/5

Identify the minuend in the equation 3 - 4 = -4 A) 3 B) -7 C) -4 D) None of the choices

A) 3

Numbers ending in which digit could be prime? A) 3 B) 4 C) 6 D) 8

A) 3

2, 193 x 15 = A) 32,895 B) 26,295 C) 21,940 D) 2,164

A) 32,895

2,194 x 16 = A) 35,104 B) 26,295 C) 21,940 D) 2,164

A) 35,104

Of the following pairs of numbers, which pair is mutually prime? A) 43,010 and 150,423 B) 3,705 and 7,116 C) 99,009 and 144,177,345 D) 68 and 13,247,352,132 E) 22 and 319, 209, 649

A) 43,010 and 150,423

What is the next number in the following sequence? 0.5, 2, 3.5, 5 ... A) 6.5 B) 8 C) 7 D) 9.5 E) None of the choices

A) 6.5

What is the Least Common Denominator (LCD) of 7/70 and 4/120? A) 840 B) 650 C) 329 D) 440

A) 840

What is the name of this set? ...-2, -1, 0, 1, 2 ... A) Integers B) Positive Integers C) Non-negative Integers D) Non-positive Integers E) Negative Integers

A) Integers

1. True or False: All natural numbers are non-negative A) True B) False

A) True

True or False: 0.317 is rational, because it can be written as the ratio 317/1000. A) True B) False

A) True

True or False: 1.5 is rational, because it can be written as the ratio 3/2. A) True B) False

A) True

True or False: All natural numbers are non-negative. A) True B) False

A) True

True or False: Irrational numbers are real numbers. A) True B) False

A) True

True or False: Whole numbers are real numbers. A) True B) False

A) True

True or False: π is irrational, because you cannot write it down a simple fraction that equals π. A) True B) False

A) True

Which of the two objectives could you use more instruction on? A) Multiples B) Factors C) All of the choices D) None of the choices

A, B, C, D

Find the difference: 832-1097 A) -255 B) -265 C) -200 D) -165 E) None of the choices

B) -265

If you are doing addition, what is the opposite of 3? A) 9 B) -3 C) -6 D) -9

B) -3

Solve 5 - (-7) = A) 2 B) 12 C) -2 D) -12

B) 12

1526 + 23 = A) 1566 B) 1549 C) 1598 D) 4572 E) None of the choices

B) 1549

4 x 5 = A) 9 B) 20 C) 16 D) 13

B) 20

Solve: 5 - (-16) = A) 11 B) 21 C) -21 D) -11

B) 21

Find the answer choice that is equivalent to the fraction: 1,235/62,565 A) 12/23 B) 247/12,513 C) 247/12,516 D) 246/ 12,523

B) 246/12,523

Which prime factorization of 1,500 is incorrect? A) 2^2 * 3 * 5^3 B) 2^2, 3, 5^3 C) 2^2 x 3 x5^3 D) 2^2 ⋅ 3 ⋅ 5^3

B) 2^2, 3, 5^3

Which prime factorization of 1,500 is incorrect? A) 2^2 * 3 * 5^3 B) 2^2, 3, 5^3 C) 2^2 x 3 x 5^3 D) 2^2 ⋅ 3 ⋅ 5^3

B) 2^2, 3, 5^3

What is the Least Common Denominator (LCD) of 63/168 and 23/92? A) 8246 B) 3864 C) 4432 D) 4593

B) 3864

(2 1/2) x (2 1/4) = A) 6 5/8 B) 5 5/8 C) 4 5/8 D) 4 1/8

B) 5 5/8

What is the simplest form of 7/18 - 6/54? A) 7/36 B) 5/18 C) 6/23 D) 7/25

B) 5/18

(6.31 - 2.42) ∙ 1.75 - 0.25 = A) 26.504175 B) 6.5575 C) 0.55 D) 22.93215 E) 0.825

B) 6.5575

3 x 21 = A) 24 B) 63 C) 982 D) 11

B) 63

What is the Least Common Denominator (LCD) of 1/(3x) and 1/(9x)? A) 5x B) 9x C) 12x D) 18x

B) 9x

2. True or False: All non-negative integers are natural numbers. A) True B) False

B) False

True of False: You cannot add fractions that have different denominators. A) True B) False

B) False

True or False: All non-negative integers are natural numbers. A) True B) False

B) False

True or False: Imaginary numbers are real numbers A) True B) False

B) False

True or False: Infinity is a real number. A) True B) False

B) False

True or False: √4 is irrational, because it can be written as 2. A) True B) False

B) False

Which of the following are non-positive rational numbers? I. -1 II. 0 III. -√2 IV. -√4 V. 1/3 A) I, II, III, and IV B) I, II, and IV C) I, II, and V D) I, III, and IV E) I and V

B) I, II, and IV

What is the name of this set? 1, 2, 3, 4, ... A) Integers B) Positive Integers C) Non-negative Integers D) Non-positive Integers E) Negative Integers

B) Positive Integers

3. Which of the following are non-positive rational numbers? I. -1 II. 0 III. -√2 IV. -√4 V. 1/3 A) I, II, III, and IV B) I, II, and IV C) I, II, and V D) I, III, and IV E) I and V

B)I, II, and IV

5,163 x 0 = A) 5,163 B) 163 C) 0 D) 1

C) 0

Write 9,702/6,930 as a mixed number in simplest form. A) 7/5 B) 1 2/3 C) 1 31/77 D) 5/3 E) 1 29/75

C) 1 31/77

Write 9,720/6,930 as a mixed number in simplest form. A) 7/5 B) 1 2/3 C) 1 31/77 D) 5/3 E) 1 29/75

C) 1 31/77

Find the simplest form of 4/16 + 9/36. A) 3/4 B) 1 C) 1/2 D) 17/36

C) 1/2

27.2347 - 13.395 = A) 14.1617 B) 25.8952 C) 13.8397 D) 14.8397 E) 13.1617

C) 13.8397

What is the least common denominator of 7/12 and 23/26? A) 7/156 B) 1/156 C) 156 D) 24 E) 312

C) 156

Find the answer choice that is equivalent to the fraction: 34/62 A) 2/5 B) 17/32 C) 17/31 D) 6/8

C) 17/31

Two numbers have a greatest common factor of 9, and a least common multiple of 54. Which of the following is the pair of numbers? A) 9/18 B) 9/27 C) 18/27 D) 27/54

C) 18/27

The least common multiple of 10 and 18 is _____. A) 2 B) 80 C) 90 D) 180 E) 360

C) 180

What is the quotient of 5 3/4 divided by 2 2/3? A) 2 8/9 B) 46/3 C) 2 5/32 D) 23/4 E) 31/7

C) 2 5/32

The correct prime factorization of 22,770 is A) 6 x 5 x 11 x 23 B) 2 x 3 x 5 x 11 x 23 C) 2 x 3 x 3 x 5 x 11 x 23 D) 2 x 3 x 3 x 3 x 5 x 7 x 11 E) 3 x 3 x 5 x 5 x 5 x 7 x 7

C) 2 x 3 x 3 x 5 x 11 x 23

The correct prime factorization of 22,770 is ______. A) 6⋅5⋅11⋅23 B) 2⋅3⋅5⋅11⋅23 C) 2⋅3⋅3⋅5⋅11⋅23 D)2⋅3⋅3⋅3⋅5⋅7⋅11 E) 3⋅3⋅5⋅5⋅5⋅7⋅7

C) 2⋅3⋅3⋅5⋅11⋅23

What is the Least Common Denominator (LCD) of 39/90 and 48/120? A) 493 B) 219 C) 360 D) 290

C) 360

What is the Least Common Denominator (LCD) of 1/(15y) and 1/(20y)? A) 10y B) 30y C) 60y D) 90y

C) 60y

Which of the following is a prime number? A) 4 B) 8 C) 7 D) All of the choices

C) 7

The least common multiple of 10 and 18 is ________. A) 2 B) 80 C) 90 D) 180 E) 360

C) 90

5. Which of the following are multiples of 8? I.24 II. 36 III.4 IV. 1,624 V. 3,001 A) I, II, and III B) I, II, and IV C) I and IV D) II and IV E) I and V

C) I and IV

Which of the following are greater than 5/11? I. 1/2 II. 65/132 III. 17/33 IV. 34/77 V. 10/25 A) I, II, III, and V B) I, II, and V C) I, II, and III D) I and V E) II and V

C) I, II, and III

What is the Least Common Denominator (LCD) of 7/12 and 23/26? A) 7/156 B) 1/156 C) 156 D) 24 E) 312

C)156

Solve: -12 - 30= A) 18 B) 42 C) -18 D) -42

D) -42

4. What is 1/500 written as a decimal? A) 0.01 B) 0.02 C) 0.05 D) 0.002 E) 0.005

D) 0.002

(3/4) + (1/4) = A) 3/4 B) 12/16 C) 4/8 D) 1 E) None of the choices

D) 1

1,000 x 10 = A) 2,100 B) 10 C) 100 D) 10,000

D) 10,000

The fraction 720/780 is equivalent to which of the following? A) 5/6 B) 3/4 C) 6/7 D) 12/13 E) 13/17

D) 12/13

The fraction 720/780 is equivalent to which of the following? A) 5/6 B) 3/4 C) 6/7 D) 12/13 E) 13/17

D) 12/13

What is the Least Common Denominator (LCD) of 1/(7x) and 1/(14x)? A) 80x B) 7x C) 9x D) 14x

D) 14x

What is the Least Common Denominator (LCD) of 1/3 and 2/5? A) 3 B) 5 C) 10 D) 15 E) 30

D) 15

What two numbers have a greatest common factor of 8 and least common multiple of 48? A) 8 and 16 B) 32 and 8 C) 12 and 16 D) 16 and 24 E) 8 and 24

D) 16 and 24

Find the answer choice that equivalent to the fraction: 825/1,020 A) 3/4 B) 415/565 C) 3/8 D) 165/204

D) 165/204

The greatest common factor of 874 and 1,995 is ____. A) 3 B) 7 C) 15 D) 19 E) 23

D) 19

The greatest common factor of 874 and 1,995 is _______. A) 3 B) 7 C) 15 D) 19 E) 23

D) 19

12.35 + 6.89 = A) 18.11 B) 19.56 C) 21.35 D) 19.24 E) None of the choices

D) 19.24

What is the greatest common factor of 18 and 64? A) 6 B) 3 C) 9 D) 2

D) 2

What is the 11th prime number? A) 11 B) 89 C) 53 D) 31

D) 31

5 x 8 = A) 62 B) 13 C) 25 D) 40

D) 40

Find the GCF of 12 and 18. A) 2 B) 3 C) 4 D) 6

D) 6

Rewrite the equation 6 - (-7) as an addition problem. A) -6 + 7 B) 7 + (-6) C) -7 + 6 D) 6 + 7

D) 6 + 7

(2 2/3) + ( 4 2/3) = A) 6 2/3 B) 6 4/9 C) 6 1/2 D) 7 1/3 E) None of the choices

D) 7 1/3

698 + 234 = A) 983 B) 534 C) 1098 D) 932 E) None of the choices

D) 932

A nationwide temperature reading in the winter is being observed by a student with the temperatures recorded (shown below). Based on this data, in which of the following cities is the coldest? San Francisco: 49 Miami: 71 Seattle: -13 Boston: -27 A) San Francisco B) Miami C) Seattle D) Boston

D) Boston

Which of the following lists the correct parts in the equation : 23 - (-45) = 68? A) Subtrahend: 23, Minuend: 45, Difference: 68 B) Subtrahend: 23, Minuend: -45, Difference 68 C) Minuend: 23, Subtrahend: 45, Difference: 68 D) Minuend: 23, Subtrahend: -45, Difference: 68

D) Minuend: 23, Subtrahend: -45, Difference: 68

What is the name of this set? 0, -1, -2, -3, -4..... A) Integers B) Positive Integers C) Non-negative Integers D) Non- positive Integers E) Negative Integers

D) Non-positive Integers

In the equation, what does "i" represent? 12+9i A) -1 B) 0 C) √1 D) √-1

D)√-1

What is the answer to the following expression? 32.8 - 13.58 A) 18.22 B) 19.3 C) 18.75 D) 19.21 E) 19.22

E) 19.22

3.257 x 0.749 = A) 2.430439 B) 24.39493 C) 243.9493 D) 0.2439493 E) 2.439493

E) 2.439493

Which of the following is not a factor of 20,790? A) 2 B) 3 C) 6 D) 11 E) 20

E) 20

(187/420) + (91/510)= A) 278/930 B) 278/420 C) 278/510 D) 133,580/214,200 E) 4,453/7,140

E) 4,453/7,140

Write 5 12/13 as an improper fraction. A) 72/13 B) 65/13 C) 17/13 D) 60/13 E) 77/13

E) 77/13

Which of the following fractions are equivalent to 4/7? I. 49,428/86,500 II. 9.640/16,555 III. 12,357/31,367 IV. 47,325/34,321 V. 36/63 A) I, II, III and V B) I, II and V C) I and II D) I and V E) II and V

E) II and V