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Level 1 MATHCOUNTS > Level 1C > Flashcards

Level 1C Flashcards

1
Q

Evaluate 132.

A

169

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2
Q

Evaluate 162

A

256

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3
Q

Evaluate 192

A

361

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4
Q

Evaluate 212.

A

441

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5
Q

Evaluate 242

A

576.

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6
Q

Evaluate 272

A

729.

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7
Q

Evaluate 302

A

900

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8
Q

Evaluate 43

A

64

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9
Q

Evaluate 63

A

216

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10
Q

Evaluate 83

A

512

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11
Q

Evaluate 103

A

1000

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12
Q

Evaluate 123

A

1728

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13
Q

Evaluate 143

A

2744

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14
Q

Evaluate 25

A

32

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15
Q

Evaluate 28

A

256

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16
Q

Evaluate 211

A

2048

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17
Q

Evaluate 214

A

16384

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18
Q

What are the five platonic solids?

A

Tetrahedron, Hexahedron (Cube), Octahedron, Dodecahedron, Icosahedron.

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19
Q

Describe the characteristics of a tetrahedron.

A

A tetrahedron has the following properties:

1) 4 equilateral triangle faces
2) 4 vertices
3) 6 edges

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20
Q

Describe the characteristics of a hexahedron (cube).

A

A hexahedron has the following characteristics:

1) 6 square faces
2) 8 vertices
3) 12 edges

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21
Q

Describe the characteristics of an octahedron.

A

An octahedron has the following characteristics:

1) 8 equilateral triangle faces.
2) 12 edges
3) 6 vertices

22
Q

Describe the characteristics of a dodecahedron.

A

A dodecahedron has the following characteristics:

1) 12 regular pentagon faces
2) 30 edges
3) 20 vertices

23
Q

Describe the characteristics of an icosahedron.

A

An icosahedron has the following characteristics.

1) 20 equilateral faces
2) 30 edges
3) 12 vertices

24
Q

What are the prime numbers from 100 to 120?

A

101, 103, 107, 109, 113

25
Q

What are the prime numbers from 120 - 140?

A

127, 131, 137, 139

26
Q

Find a pythagorean triple whose smallest side is 11.

A

11, 60, 61

27
Q

Find a pythagorean triple whose smallest side is 12 and is not a multiple of another pythagorean triple

A

12, 35, 37

28
Q

Find a pythagorean triple whose two smallest sides are 20 and 21.

A

20, 21, 29

*This is a commonly used pythagorean triple since the numbers have a different relationship than the smaller ones.

29
Q

What is the sum of the numbers in the nth row of the pascal’s triangle?

A

2n

*Remember the top row is the 0th row.

1 = 20

1 + 1 = 21

1 + 2 + 1 = 22

1 + 3 + 3 + 1 = 23

1 + 4 + 6 + 4 + 1 = 24

30
Q

How many even factors does 120 have?

A

12.

*First find the number of factors using the # of factors formula. In this case the prime factorization is (2^3)*3*5=120 so the # of factors is (3+1)(1+1)(1+1) = 16.

**Then find the # of odd factors by multiplying the exponents of the odd prime factors so (1+1)(1+1)=4 So the # of even factors is 16-4.

***Watch this video to learn more about it

31
Q

How many odd factors does 180 have?

A

6.

*Find the prime factorization of 180. So 180 = (2^2)(3^2)*5

**The odd factors are found by looking at the odd prime factors. So (2+1)(1+1) = 6.

32
Q

What is the product of the factors of 48?

A

485

*First find the # of factors so 48 = 24*3 so the number of factors is (4+1)(1+1) = 10.

**Since the 10 factors are factor pairs as shown: 1*48, 2*24, 3*16, 4*12, 6*8 they all have a product of 48. When all the 10 factors are multiplied together you get 485.

***Watch this video to learn more.

33
Q

Evaluate 1052

A

11025.

*This is found by multiplying 10*11 = 110 and then adding 25 to the end. So 11025.

34
Q

Evaluate 1152

A

13225.

Multiply 11*12 = 132 and then add 25 to the end. 13225.

35
Q

Evaluate 1252

A

15625.

*Multiply 12*13 = 156. Then add 25 to the end to get 15625.

36
Q

Write 0.2444444(repeating) as a fraction.

A

11/45

*First multiply by 10 so that it becomes 2.444444 (repeating).

**Then convert to a fraction so 2 4/9

***Then multiply by 1/10 to undo the original multiplication 22/9 * 1/10 = 22/90 = 11/45

37
Q

Write 0.241515151515 (repeating) as a fraction.

A

797/3300

*First multiply by 100 so only the repeating part is on the other side of the decimal. 0.2415151515*100 = 24.15151515…

*Then convert to a fraction 24 15/99 = 24 5/33 = 797/33.

*Then multiply by 1/100 to undo multiplying by 100. Thus (797/33)*(1/100) =797/3300.

38
Q

Given the number and type of faces of a polyhedron, how do you find the number of edges?

A

Each edge of a polyhedron is made up of an edge from 2 of the faces. Thus the total number of edges on all the polygon faces is divided by 2 to find the number of edges in the polyhedron.

39
Q
A
40
Q

What is the decimal equivalent to 1/40?

A

0.025

*When dealing with 40th’s the key is to go .025 above or below a know amount. For example, 3/40 is .025 more than 2/40 = 1/20 = .05 so 3/40 is .075.

41
Q

What is the decimal equivalent of 9/40?

A

.225

*When dealing with 40th’s the key is to go .025 above or below a know amount. For example, 9/40 is .025 less than 10/40 = 1/4 = .25 so 9/40 is .225.

42
Q

What is the decimal equivalent of 17/40?

A

.425

*When dealing with 40th’s the key is to go .025 above or below a know amount. For example, 17/40 is .025 more than 16/40 = 4/10 = .4 so 17/40 is .425.

43
Q

What is the decimal equivalent to 31/40?

A

.775

*When dealing with 40th’s the key is to go .025 above or below a know amount. For example, 31/40 is .025 more than 30/40 = 3/4 = .75 so 31/40 is .775.

44
Q

What is the decimal equivalent of 1/80?

A

.0125

The key to 80th’s is to add or subtract .0125 from a 40th. For example, 5/80 is .0125 is

45
Q

7/80

A

.0875

7/80 is .0125 less than 8/80 = .1

46
Q

What is the decimal equivalent to 17/80?

A

.2125

17/80 is .0125 more than 16/80 = 2/10 =.2

47
Q

What is the decimal equivalent of 41/80?

A

.5125

41/80 is .0125 more than 40/80 = .5.

48
Q

What is the decimal equivalent to 71/80?

A

.8875

71/80 is .0125 more than 70/80 = 7/8 =.875

49
Q

For two numbers A and B, what is the product of their GCD and LCM?

A

A*B

*The product of the GCD and LCM of two number is always equal to the product of the two numbers.

50
Q

What is the product of the GCD and the LCM of 24 and 32?

A

768.

The GCD of the two numbers is 8 and the LCM is 96. 96*8=768. However, it is easier to just multiply the two numbers together. 24*32 = 768.

51
Q
A

Level 1 MATHCOUNTS (3 decks)

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