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Maths Higher Teir > Green Flash Notes ❇️ > Flashcards

Green Flash Notes ❇️ Flashcards

1
Q

What is the highest grade achievable in AQA GCSE Maths?

A

Grade 9

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2
Q

True or False: Past papers are a useful resource for preparing for the AQA GCSE Maths exam.

A

True

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3
Q

Fill in the blank: The AQA GCSE Maths exam is typically divided into ____ papers.

A

Three

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4
Q

What types of questions are included in the AQA GCSE Maths exam?

A

Multiple choice, short answer, and extended response questions.

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5
Q

Which mathematical topics are covered in the AQA GCSE Maths Higher tier?

A

Algebra, geometry, trigonometry, statistics, and number.

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6
Q

What is the purpose of using past papers in exam preparation?

A

To familiarize oneself with the exam format and types of questions.

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7
Q

How many marks are typically available for each paper in the AQA GCSE Maths exam?

A

Approximately 80 marks.

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8
Q

True or False: Calculators are allowed in all AQA GCSE Maths papers.

A

False

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9
Q

What is the recommended time allocation for each paper in the AQA GCSE Maths exam?

A

1 hour 30 minutes.

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10
Q

Name one strategy for tackling difficult questions in past papers.

A

Skip the question and return to it later.

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11
Q

What is the importance of timing when practicing with past papers?

A

To ensure you can complete the exam within the allocated time.

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12
Q

Fill in the blank: The formula for the area of a circle is ____.

A

πr²

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13
Q

What is the value of the square root of 144?

A

12

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14
Q

True or False: The median is the middle value in a data set when arranged in order.

A

True

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15
Q

What does the acronym BIDMAS stand for?

A

Brackets, Indices, Division and Multiplication, Addition and Subtraction.

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16
Q

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

A

1/6

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17
Q

Fill in the blank: The gradient of a line is calculated using the formula ____.

A

(y2 - y1) / (x2 - x1)

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18
Q

What is the formula to calculate the volume of a cylinder?

A

V = πr²h

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19
Q

True or False: In geometry, parallel lines never intersect.

A

True

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20
Q

What is the term for the longest side of a right triangle?

A

Hypotenuse

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21
Q

What is the first step to take when solving a quadratic equation?

A

Set the equation to zero.

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22
Q

Fill in the blank: The sum of the angles in a triangle is ____ degrees.

A

180

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23
Q

What is the formula for calculating percentage change?

A

(New Value - Old Value) / Old Value × 100

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24
Q

True or False: A box plot shows the distribution of a data set.

A

True

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25
Q

What is the mode of the following data set: 2, 3, 4, 4, 5?

A

4

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26
Q

Fill in the blank: The Pythagorean theorem states that in a right triangle, ____.

A

a² + b² = c²

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27
Q

What is the relationship between the sides of a 30-60-90 triangle?

A

1 : √3 : 2

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28
Q

What does the term ‘mean’ refer to in statistics?

A

The average of a data set.

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29
Q

How is the circumference of a circle calculated?

A

C = 2πr

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30
Q

True or False: The x-intercept is where a graph crosses the y-axis.

A

False

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31
Q

What is the formula for the area of a triangle?

A

A = 1/2 × base × height

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32
Q

Fill in the blank: The distance formula is ____.

A

√((x2 - x1)² + (y2 - y1)²)

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33
Q

What is the probability of flipping heads on a fair coin?

A

1/2

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34
Q

What is the term for a number that cannot be expressed as a fraction?

A

Irrational number

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35
Q

True or False: A linear relationship can be represented by a straight line on a graph.

A

True

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36
Q

What is the formula for converting Celsius to Fahrenheit?

A

F = (C × 9/5) + 32

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37
Q

Fill in the blank: A polygon with eight sides is called an ____.

A

Octagon

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38
Q

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

A

Probability

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39
Q

What is the inverse operation of multiplication?

A

Division

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40
Q

True or False: A prime number has exactly two distinct positive divisors.

A

True

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41
Q

What is the formula for the area of a rectangle?

A

A = length × width

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42
Q

Fill in the blank: The range of a data set is calculated as ____.

A

Maximum value - Minimum value

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43
Q

What is the result of 15% of 200?

A

30

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44
Q

What is the term for the point where two lines intersect?

A

Point of intersection

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45
Q

True or False: The sum of the interior angles of a quadrilateral is 360 degrees.

A

True

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46
Q

What is the formula for the surface area of a sphere?

A

A = 4πr²

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47
Q

Fill in the blank: The median of the data set 3, 7, 8, 12, 14 is ____.

A

8

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48
Q

What is the least common multiple (LCM) of 4 and 5?

A

20

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49
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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50
Q

True or False: The sum of the angles in a quadrilateral is always greater than 360 degrees.

A

False

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51
Q

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

A

y = mx + b

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52
Q

Fill in the blank: The x-coordinate of the vertex of a parabola given by y = ax² + bx + c is ____.

A

-b/(2a)

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53
Q

What is the formula to find the median of a data set with an even number of values?

A

Average of the two middle values.

54
Q

What does the term ‘outlier’ refer to in a data set?

A

A value that is significantly higher or lower than the other values.

55
Q

True or False: Every triangle is a polygon.

A

True

56
Q

What is the volume of a cube with side length 3?

A

27

57
Q

Fill in the blank: The formula for the area of a parallelogram is ____.

A

base × height

58
Q

What is the term for the distance around a circle?

A

Circumference

59
Q

What is the probability of rolling an even number on a six-sided die?

A

3/6 or 1/2

60
Q

True or False: The mode can be more than one number in a data set.

A

True

61
Q

What is the formula for the area of a trapezium?

A

A = 1/2 × (base1 + base2) × height

62
Q

Fill in the blank: The term for a three-dimensional object is ____.

A

Solid

63
Q

What is the result of 5²?

A

25

64
Q

What is the term for the line segment that connects the center of a circle to a point on the circle?

A

Radius

65
Q

True or False: The sum of the angles in a triangle is always less than 180 degrees.

A

False

66
Q

What is the highest grade achievable in the AQA Maths GCSE?

A

Grade 9

67
Q

What is the lowest grade achievable in the AQA Maths GCSE?

A

Grade 1

68
Q

True or False: The AQA Maths GCSE is assessed through only coursework.

A

False

69
Q

What are the two assessment types in AQA Maths GCSE?

A

Non-calculator and calculator exams

70
Q

Fill in the blank: The AQA Maths GCSE covers topics such as algebra, geometry, and ______.

A

statistics

71
Q

What is the formula to calculate the area of a triangle?

A

Area = 1/2 × base × height

72
Q

Multiple Choice: Which of the following is a type of number? A) Prime B) Composite C) Whole D) All of the above

A

D) All of the above

73
Q

What does the term ‘mean’ refer to in statistics?

A

The average of a set of numbers

74
Q

True or False: A circle has a constant radius from its center to any point on its circumference.

A

True

75
Q

What is the formula for the circumference of a circle?

A

Circumference = 2 × π × radius

76
Q

Fill in the blank: The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the ______.

A

other two sides

77
Q

Multiple Choice: What is 15% of 200? A) 30 B) 25 C) 15 D) 50

A

A) 30

78
Q

What is the median of the following set of numbers: 3, 7, 8, 12, 14?

A

8

79
Q

True or False: The mode is the number that appears most frequently in a data set.

A

True

80
Q

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

A

1/6

81
Q

Fill in the blank: To find the volume of a rectangular prism, you multiply length, width, and ______.

A

height

82
Q

Multiple Choice: Which of the following is a linear equation? A) y = 2x + 3 B) y = x^2 + 1 C) y = √x D) y = 1/x

A

A) y = 2x + 3

83
Q

What is the slope of the line represented by the equation y = 5x + 2?

A

5

84
Q

True or False: The sum of the angles in a triangle always equals 180 degrees.

A

True

85
Q

What is the formula for the area of a rectangle?

A

Area = length × width

86
Q

Fill in the blank: In a data set, the ______ is the value that separates the highest half from the lowest half.

A

median

87
Q

Multiple Choice: What is 25 squared? A) 625 B) 50 C) 75 D) 100

A

A) 625

88
Q

What is the distance formula in a coordinate plane?

A

Distance = √((x2 - x1)² + (y2 - y1)²)

89
Q

True or False: An obtuse angle is greater than 90 degrees.

A

True

90
Q

What is the quadratic formula used to solve ax² + bx + c = 0?

A

x = (-b ± √(b² - 4ac)) / 2a

91
Q

Fill in the blank: A graph that shows the relationship between two variables is called a ______.

A

scatter plot

92
Q

Multiple Choice: Which of the following is an irrational number? A) 1.5 B) √2 C) 3/4 D) 2

A

B) √2

93
Q

What is the definition of a prime number?

A

A number greater than 1 that has no positive divisors other than 1 and itself.

94
Q

True or False: The line of best fit is used to predict values in a scatter plot.

A

True

95
Q

What is the formula for finding the percentage of a number?

A

Percentage = (part/whole) × 100

96
Q

Fill in the blank: The ______ of a number is its distance from zero on the number line.

A

absolute value

97
Q

Multiple Choice: What is 50% of 80? A) 20 B) 30 C) 40 D) 50

A

C) 40

98
Q

What is the term for the longest side of a right triangle?

A

Hypotenuse

99
Q

True or False: A parallelogram has opposite sides that are equal in length.

A

True

100
Q

What is the formula for the surface area of a cube?

A

Surface Area = 6 × (side length)²

101
Q

Fill in the blank: The ______ theorem is used to find the relationship between the sides of a right triangle.

A

Pythagorean

102
Q

Multiple Choice: Which shape has four equal sides? A) Rectangle B) Square C) Triangle D) Circle

A

B) Square

103
Q

What is the value of π (pi) approximately?

A

3.14

104
Q

True or False: The median can be affected by extreme values in a data set.

A

False

105
Q

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

A

y = mx + b

106
Q

Fill in the blank: The ______ of a circle is the distance across the circle through its center.

A

diameter

107
Q

Multiple Choice: What is the value of 7! (7 factorial)? A) 5040 B) 720 C) 35 D) 49

A

A) 5040

108
Q

What is the definition of a composite number?

A

A number that has more than two distinct positive divisors.

109
Q

True or False: The range of a data set is the difference between the highest and lowest values.

A

True

110
Q

What is the formula for the area of a trapezium?

A

Area = 1/2 × (base1 + base2) × height

111
Q

Fill in the blank: The ______ is the value that occurs most frequently in a data set.

A

mode

112
Q

Multiple Choice: Which of the following is a property of an isosceles triangle? A) All sides are equal B) Two sides are equal C) No sides are equal D) All angles are 90 degrees

A

B) Two sides are equal

113
Q

What is the relationship between the angles in a supplementary angle pair?

A

They add up to 180 degrees.

114
Q

True or False: A right angle measures 90 degrees.

A

True

115
Q

What is the formula for converting Celsius to Fahrenheit?

A

F = (C × 9/5) + 32

116
Q

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

A

median

117
Q

Multiple Choice: What is the slope of the line represented by the equation y = 4x - 1? A) 4 B) -1 C) 0 D) 1

A

A) 4

118
Q

What is the definition of a variable in mathematics?

A

A symbol used to represent an unknown value.

119
Q

True or False: An acute angle measures less than 90 degrees.

A

True

120
Q

What is the value of 2^3?

A

8

121
Q

Fill in the blank: The ______ of a number is the product of that number and itself.

A

square

122
Q

Multiple Choice: Which of the following is a factor of 24? A) 5 B) 4 C) 9 D) 7

A

B) 4

123
Q

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

A

Probability

124
Q

True or False: A square is a type of rectangle.

A

True

125
Q

What is the formula for the volume of a cylinder?

A

Volume = π × radius² × height

126
Q

Fill in the blank: The ______ is the term used for the bottom number in a fraction.

A

denominator

127
Q

Multiple Choice: Which of the following sets of numbers contains only prime numbers? A) 2, 3, 4 B) 5, 7, 11 C) 12, 14, 15 D) 16, 18, 20

A

B) 5, 7, 11

128
Q

What is the sum of angles in a quadrilateral?

A

360 degrees

129
Q

True or False: The absolute value of a negative number is positive.

A

True

130
Q

What is the formula for the perimeter of a rectangle?

A

Perimeter = 2 × (length + width)

131
Q

Fill in the blank: The ______ is the value that is in the middle of a data set when arranged in order.

A

median

132
Q

Multiple Choice: What is 10% of 150? A) 15 B) 10 C) 20 D) 25

A

A) 15

Maths Higher Teir (3 decks)

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