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Mathematics End of Years > Algebra, Probability, Venn diagrams and Angles: Year 7 > Flashcards

Algebra, Probability, Venn diagrams and Angles: Year 7 Flashcards

1
Q

What is the value of x in the equation 2x + 3 = 7?

A

x = 2

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2
Q

True or False: The sum of the interior angles of a triangle is 180 degrees.

A

True

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3
Q

What does a Venn diagram visually represent?

A

The relationships between different sets.

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4
Q

If A and B are independent events, what is P(A and B)?

A

P(A) * P(B)

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5
Q

Fill in the blank: The slope of a line is calculated as the change in ____ over the change in ____.

A

y; x

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6
Q

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

A

1/6

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7
Q

In a Venn diagram, what does the overlapping area represent?

A

The intersection of the sets.

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8
Q

What is the formula for the area of a circle?

A

A = πr²

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9
Q

True or False: The angles in a linear pair are complementary.

A

False

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10
Q

What is the term for the likelihood of an event occurring?

A

Probability

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11
Q

What is the sum of the angles in a quadrilateral?

A

360 degrees

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12
Q

If P(A) = 0.3 and P(B) = 0.5, what is P(A or B) if A and B are mutually exclusive?

A

P(A) + P(B) = 0.8

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13
Q

What is the standard form of the equation of a line?

A

Ax + By = C

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14
Q

Fill in the blank: The median is the middle value when data is arranged in ____ order.

A

ascending

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15
Q

What is a function?

A

A relation where each input has exactly one output.

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16
Q

What is the probability of drawing an ace from a standard deck of cards?

A

4/52 or 1/13

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17
Q

What is the formula for the perimeter of a rectangle?

A

P = 2(l + w)

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18
Q

True or False: A right angle measures 90 degrees.

A

True

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19
Q

What is the formula for calculating the mean of a data set?

A

Mean = (sum of all values) / (number of values)

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20
Q

What does the symbol ∩ represent in set theory?

A

Intersection of two sets.

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21
Q

What is the sum of the angles in a pentagon?

A

540 degrees

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22
Q

If two angles are complementary, what is their sum?

A

90 degrees

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23
Q

What is the discriminant in a quadratic equation?

A

b² - 4ac

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24
Q

Fill in the blank: The ____ of a triangle is the longest side opposite the right angle.

A

hypotenuse

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25
What is an example of a dependent event?
Drawing cards without replacement.
26
True or False: The median can be affected by outliers.
False
27
What is the probability of flipping a coin and getting heads?
1/2
28
What is the formula for the volume of a cylinder?
V = πr²h
29
What does the symbol ∪ represent in set theory?
Union of two sets.
30
What is the formula for calculating the range of a data set?
Range = maximum value - minimum value
31
What is the angle sum property of a triangle?
The sum of the angles equals 180 degrees.
32
What is the probability of drawing a red card from a standard deck of cards?
26/52 or 1/2
33
Fill in the blank: In a right triangle, the sine of an angle is the ratio of the ____ to the ____.
opposite side; hypotenuse
34
What is the formula for the area of a triangle?
A = 1/2 * base * height
35
True or False: The circumference of a circle is calculated as 2πr.
True
36
What is the relationship between the angles in a supplementary pair?
Their sum is 180 degrees.
37
What is the probability of selecting a prime number from the set {1, 2, 3, 4, 5, 6, 7}?
4/7
38
What is the slope-intercept form of a line?
y = mx + b
39
Fill in the blank: In a Venn diagram, the area outside the circles represents elements that are in ____.
neither set
40
What is the relationship between the angles in an isosceles triangle?
Two angles are equal.
41
What does the term 'complementary probability' refer to?
1 - P(event)
42
What is the formula for the surface area of a sphere?
A = 4πr²
43
What is the probability of rolling an even number on a six-sided die?
3/6 or 1/2
44
True or False: A scalene triangle has all sides of equal length.
False
45
What is the formula for the distance between two points (x1, y1) and (x2, y2)?
d = √((x2 - x1)² + (y2 - y1)²)
46
What is the definition of a variable in algebra?
A symbol used to represent a number.
47
Fill in the blank: The ____ is the point where two lines intersect.
point of intersection
48
What is the probability of drawing a face card from a standard deck of cards?
12/52 or 3/13
49
What is the formula for finding the interior angle of a regular polygon?
(n-2) * 180/n, where n is the number of sides.
50
What does the term 'outlier' refer to in statistics?
A value that is significantly higher or lower than the others.
51
What is the formula for the area of a trapezoid?
A = (1/2)(b1 + b2)h
52
True or False: The mode is the value that appears most frequently in a data set.
True
53
What is the probability of getting tails on a single coin flip?
1/2
54
What is the formula for the Pythagorean theorem?
a² + b² = c²
55
What is the relationship between the angles in a triangle if one angle measures 90 degrees?
It is a right triangle.
56
Fill in the blank: The ____ of a circle is the distance around it.
circumference
57
What is the probability of selecting a non-prime number from the set {1, 2, 3, 4, 5, 6, 7}?
3/7
58
What is the relationship between the sides of a 30-60-90 triangle?
The sides are in the ratio 1:√3:2.
59
What is a linear equation?
An equation that graphs to a straight line.
60
What is the probability of rolling a number greater than 4 on a six-sided die?
2/6 or 1/3
61
Fill in the blank: A polygon with four sides is called a ____.
quadrilateral
62
What is the formula for calculating the standard deviation of a data set?
σ = √(Σ(x - μ)² / N)
63
What is the probability of flipping a coin three times and getting heads all three times?
1/8
64
What is the relationship between the angles in an equilateral triangle?
All angles are equal to 60 degrees.
65
What does the term 'sample space' refer to in probability?
The set of all possible outcomes.
66
What is the formula for the area of a parallelogram?
A = base * height
67
True or False: The median is always the average of the highest and lowest values.
False
68
What is the probability of drawing a heart from a standard deck of cards?
13/52 or 1/4
69
What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?
(y2 - y1) / (x2 - x1)
70
Fill in the blank: In a Venn diagram, the total number of elements in both sets minus the intersection gives the ____.
union
71
What is the formula for the volume of a cone?
V = (1/3)πr²h
72
What is the probability of rolling a 1 on a six-sided die?
1/6
73
True or False: A circle is a polygon.
False
74
What is the formula for the area of a rectangle?
A = length * width
75
What is the probability of selecting a number less than 5 from the set {1, 2, 3, 4, 5, 6}?
4/6 or 2/3
76
Fill in the blank: The angle formed by two rays with a common endpoint is called an ____.
angle
77
What is the relationship between the angles in a complementary pair?
Their sum is 90 degrees.
78
What is the formula for the area of a rhombus?
A = (d1 * d2) / 2, where d1 and d2 are the diagonals.
79
True or False: All rectangles are squares.
False
80
What is the probability of selecting a number greater than 3 from the set {1, 2, 3, 4, 5, 6}?
3/6 or 1/2
81
What is the definition of a constant in algebra?
A fixed value that does not change.
82
What is the formula for calculating the arithmetic mean?
Mean = (sum of values) / (number of values)
83
What is the probability of flipping a coin and getting heads or tails?
1
84
What is the relationship between the angles in a straight line?
They sum to 180 degrees.
85
Fill in the blank: The distance between two parallel lines is ____.
constant

Mathematics End of Years (1 decks)

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