Free Printable Lifepac Bowl Math Questionnaire

1.

What is the factor of x^2 - 9?

a)

(x - 3)(x + 3)

b)

(x - 9)(x + 1)

c)

(x - 1)(x + 1)

d)

(x + 3)(x + 3)

2.

What is the least common multiple (LCM) of 4 and 6?

a)

12

b)

24

c)

6

d)

10

3.

What is the greatest common factor (GCF) of 18 and 24?

a)

6

b)

12

c)

3

d)

9

4.

What is 5! (factorial)?

a)

120

b)

60

c)

30

d)

10

5.

Simplify the algebraic fraction {4x^2}/{8x}.

a)

{x}/{2}

b)

{1}/{2}x^2

c)

{2}{x}

d)

2x

6.

What is 0.75 as a percentage?

a)

75%

b)

0.75%

c)

7.5%

d)

100%

7.

What is the square root of 64?

a)

6

b)

7

c)

8

d)

9

8.

What is the sum of the interior angles of a triangle?

a)

90°

b)

180°

c)

270°

d)

360°

9.

How many sides does a hexagon have?

a)

5

b)

6

c)

7

d)

8

10.

What is the perimeter of a rectangle with length 5 and width 3?

a)

15

b)

16

c)

18

d)

12

11.

What is the area of a circle with radius 3?

a)

9π

b)

6π

c)

12π

d)

3π

12.

What is the volume of a cube with a side length of 2?

a)

4

b)

8

c)

16

d)

2

13.

What is the midpoint of the coordinates (2, 4) and (4, 6)?

a)

(3, 5)

b)

(4, 4)

c)

(2, 6)

d)

(5, 3)

14.

What is the Pythagorean theorem?

a)

a^2 + b^2 = c^2

b)

a + b = c

c)

a^2 - b^2 = c

d)

a/b = c

15.

What does sin(90°) equal?

a)

0

b)

1

c)

-1

d)

Undefined

16.

What is the double angle formula for sine?

a)

sin(2x) = 2sin(x)cos(x)

b)

sin(2x) = sin^2(x) - cos^2(x)

c)

sin(2x) = sin(x) + sin(x)

d)

sin(2x) = sin(x) - cot (x) sin(x)

17.

What is the quadratic formula?

a)

x = {-b +/- sqrt{b^2 - 4ac}}/{2a}

b)

x = {b +/- sqrt{4ac}}/{-2a}

c)

x = {b^2 - 4ac}/{a}

d)

x = -b +/- ac

18.

What are polar coordinates?

a)

Coordinates in a Cartesian plane

b)

Coordinates based on radius and angle

c)

Coordinates based on time and space

d)

Coordinates based on distance only

19.

What is the probability of rolling a 3 on a six-sided die?

a)

{1}/{6}

b)

{1}/{3}

c)

{1}/{2}

d)

{1}/{4}

20.

How many ways can you arrange 3 books on a shelf?

a)

3

b)

6

c)

9

d)

12

21.

What is the common ratio in a geometric sequence of 2, 6, 18, ...?

a)

2

b)

3

c)

4

d)

1.5

22.

What is the sum of the first five terms of an arithmetic sequence where the first term is 2 and the common difference is 3?

a)

30

b)

25

c)

40

d)

15

23.

What is the formula for binomial probability?

a)

P(X=k) = {n}C{k} p^k (1-p)^{n-k}

b)

P(X=k) = n!/(k!(n-k)!)

c)

P(X=k) = p^n(1-p)^k

d)

P(X=k) = k/n

24.

What is the derivative of x^2?

a)

2x

b)

x

c)

x^2

d)

1

25.

Which of the following is a property of real numbers?

a)

Closure

b)

Associative

c)

Commutative

d)

All of the above

26.

What is the value of infinity divided by any positive number?

a)

0

b)

1

c)

Infinity

d)

Undefined

27.

What is the value of pi (π) approximately?

a)

2.14

b)

3.14

c)

4.14

d)

5.14

28.

What is the square of 12?

a)

144

b)

124

c)

156

d)

100

29.

What is the square root of 49?

a)

5

b)

6

c)

7

d)

8

30.

What is the result of multiplying any number by zero?

a)

1

b)

The number itself

c)

0

d)

Undefined

31.

Which of the following is an algebraic expression?

a)

2x + 3

b)

3

c)

= 5

d)

None of the above

32.

What is the value of 5^3?

a)

15

b)

125

c)

25

d)

75

33.

What is the area of a triangle with base 4 and height 3?

a)

12

b)

6

c)

8

d)

10

34.

What is the volume of a cylinder with radius 2 and height 5?

a)

20π

b)

10π

c)

15π

d)

5π

35.

What is the equation of a line in slope-intercept form?

a)

y = mx + b

b)

y = mx^2 + b

c)

y = mx - b

d)

y = x + b

36.

What is the sine of 30 degrees?

a)

0

b)

0.5

c)

1

d)

0.25

37.

Which of the following is a characteristic of similar polygons?

a)

Same shape, different sizes

b)

Same size, different shapes

c)

Different shapes, different sizes

d)

None of the above

38.

What is the formula for the area of a rectangle?

a)

Length + Width

b)

Length x Width

c)

Length - Width

d)

Length / Width

39.

What is the relationship between the angles in a linear pair?

a)

Complementary

b)

Supplementary

c)

Equal

d)

None of the above

40.

If the coordinates of a point are (0, 0), what is this point called?

a)

Origin

b)

Vertex

c)

Center

d)

Endpoint

41.

What is the expression for the difference of squares?

a)

a^2 + b^2

b)

(a + b)(a - b)

c)

(a - b)^2

d)

a^2 - b^2

42.

What is the least common multiple (LCM) of 4 and 6?

a)

12

b)

24

c)

10

d)

18

43.

What is the greatest common factor (GCF) of 18 and 24?

a)

6

b)

12

c)

3

d)

9

44.

What is the factorial of 5 (5!)?

a)

120

b)

60

c)

100

d)

24

45.

What is the value of 25% of 200?

a)

25

b)

50

c)

75

d)

100

46.

What is the radical expression of √16?

a)

4

b)

8

c)

2

d)

16

47.

If a triangle has angles measuring 60° and 70°, what is the measure of the third angle?

a)

30°

b)

40°

c)

50°

d)

60°

48.

The perimeter of a rectangle with length 5 and width 3 is:

a)

16

b)

15

c)

20

d)

18

49.

How many sides does a hexagon have?

a)

5

b)

6

c)

7

d)

8

50.

What is the formula for the area of a circle?

a)

2pi r

b)

pi r^2

c)

r^2

d)

pi

51.

What is the factored form of x^2 - 9 ?

a)

(x - 3)(x + 3)

b)

(x - 9)(x + 1)

c)

(x + 3)(x + 3)

d)

(x - 1)(x - 9)

52.

What is the least common multiple (LCM) of 12 and 15?

a)

30

b)

60

c)

45

d)

75

53.

What is the greatest common factor (GCF) of 24 and 36?

a)

6

b)

12

c)

18

d)

24

54.

What is 5!?

a)

120

b)

60

c)

100

d)

24

55.

Simplify {2x^2 + 4x}/{2x}.

a)

x + 2

b)

x + 4

c)

2x + 4

d)

2x + 2

56.

What is 25% of 200?

a)

25

b)

50

c)

75

d)

100

57.

What is sqrt{144}?

a)

10

b)

12

c)

14

d)

16

58.

Solve the system: 2x + 3y = 6 and x - y = 1.

a)

(9/5, 4/5)

b)

(2/4, 0)

c)

(0, 2/8)

d)

(3, 0)

59.

If two similar polygons have a ratio of 3:5, what is the ratio of their areas?

a)

3:5

b)

9:25

c)

15:25

d)

6:10

60.

How many sides does a dodecagon have?

a)

10

b)

12

c)

14

d)

16

61.

What is the measure of each interior angle of a regular hexagon?

a)

120°

b)

90°

c)

150°

d)

180°

62.

Which tool is commonly used to construct a perpendicular bisector?

a)

Ruler

b)

Compass

c)

Protractor

d)

Set square

63.

What is the area of a rectangle with a length of 10 cm and a width of 5 cm?

a)

15 cm²

b)

50 cm²

c)

25 cm²

d)

30 cm²

64.

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm? (Use pi appro 3.14)

a)

128.26 cm³

b)

141.3 cm³

c)

145 cm³

d)

130 cm³

65.

What is the slope of the line passing through the points (2, 3) and (4, 7)?

a)

2

b)

1

c)

3

d)

4

66.

In a triangle, if one angle measures 90°, what type of triangle is it?

a)

Acute

b)

Obtuse

c)

Right

d)

Equilateral

67.

What is the value of sin^2(x) + cos^2(x)?

a)

1

b)

0

c)

sin(2x)

d)

cos(2x)

68.

What is the double angle formula for sine?

a)

sin(2x) = 2sin(x)cos(x)

b)

sin(2x) = sin(x) + sin(x)

c)

sin(2x) = sin^2(x)

d)

sin(2x) = 2sin^2(x)

69.

What are the roots of the equation x^2 - 5x + 6 = 0?

a)

2 and 3

b)

1 and 6

c)

3 and 4

d)

0 and 6

70.

What is the polar coordinate of the point (3, 4) in Cartesian coordinates?

a)

(5, 53.13°)

b)

(7, 45°)

c)

(4, 36.87°)

d)

(6, 60°)

71.

What is the probability of rolling a sum of 7 with two dice?

a)

{1}/{6}

b)

{1}/{12}

c)

{1}/{36}

d)

{5}/{36}

72.

How many ways can you arrange the letters in the word "MATH"?

a)

12

b)

24

c)

16

d)

20

73.

What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

a)

14

b)

15

c)

16

d)

17

74.

In a binomial distribution, what is the probability of getting exactly 3 heads in 5 flips of a fair coin?

a)

{5}/{16}

b)

{10}/{32}

c)

{1}/{2}

d)

{5}/{32}

75.

What is 2^3 x 2^4?

a)

2^7

b)

2^{12}

c)

2^{10}

d)

2^8

76.

What is the derivative of f(x) = x^2?

a)

2x

b)

x

c)

x^2

d)

2x^2

77.

Which of the following is an identity?

a)

a + b = b + a

b)

a + b = a - b

c)

a x 0 = a

d)

a - b = b - a

78.

What is the limit of {1}/{x} as x approaches infinity?

a)

0

b)

1

c)

Infinity

d)

Undefined

79.

What is the value of pi approximately?

a)

2.14

b)

3.14

c)

3.41

d)

3.00

80.

What is $ 12^2?

a)

144

b)

124

c)

156

d)

132

Lifepac Bowl Math Questionnaire

Total questions: 80

Worksheet time: 40mins

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