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Maths > GCSE MOCKS YEAR 10 > Flashcards

GCSE MOCKS YEAR 10 Flashcards

(63 cards)

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1
Q

What is the formula for the area of a circle?

A

A = πr²

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2
Q

What is the range of a set of numbers?

A

The difference between the highest and lowest values

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3
Q

What is the quadratic formula?

A

x = (-b ± √(b² - 4ac)) / 2a

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4
Q

Fill in the blank: The formula for the volume of a cylinder is ______.

A

V = πr²h

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5
Q

What is the Pythagorean theorem?

A

a² + b² = c²

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6
Q

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

A

y = mx + b

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7
Q

What does ‘mean’ refer to in statistics?

A

The average of a set of numbers

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8
Q

What is the formula for the circumference of a circle?

A

C = 2πr

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9
Q

What is an exterior angle of a triangle?

A

The angle formed outside the triangle when one side is extended

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10
Q

What does ‘median’ refer to in statistics?

A

The middle value when a data set is ordered

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11
Q

What is the area of a triangle formula?

A

A = 1/2 × base × height

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12
Q

What is the value of the sine of 90 degrees?

A

1

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13
Q

Fill in the blank: The formula for the surface area of a sphere is ______.

A

A = 4πr²

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14
Q

What is a factor in mathematics?

A

A number that divides another number without leaving a remainder

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15
Q

True or False: The mean is always greater than the median in a data set.

A

False

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16
Q

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

A

2

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17
Q

What is the formula to calculate the percentage change?

A

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

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18
Q

Fill in the blank: The sum of the interior angles of a triangle is ______.

A

180 degrees

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19
Q

What is the first step in solving a quadratic equation by factoring?

A

Set the equation to zero

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20
Q

True or False: The highest common factor (HCF) is the largest number that divides two or more numbers.

A

True

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21
Q

What does ‘mode’ refer to in statistics?

A

The value that appears most frequently in a data set

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22
Q

Fill in the blank: The formula for calculating the area of a rectangle is ______.

A

A = length × width

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23
Q

What is the relationship between the angles in a right triangle?

A

One angle is 90 degrees, and the sum of the other two angles is 90 degrees.

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24
Q

What is a linear equation?

A

An equation that makes a straight line when graphed

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25
True or False: The product of two negative numbers is positive.
True
26
What is the standard form of a number?
A way of writing numbers that are too big or too small to be conveniently written in decimal form
27
What is the probability of flipping heads on a fair coin?
1/2
28
What is a histogram?
A graphical representation of the distribution of numerical data
29
Fill in the blank: The formula for the distance between two points (x1, y1) and (x2, y2) is ______.
√((x2 - x1)² + (y2 - y1)²)
30
What is the definition of a rational number?
A number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0
31
What is the sum of angles in a quadrilateral?
360 degrees
32
True or False: A circle is a polygon.
False
33
What is the formula for the area of a parallelogram?
A = base × height
34
What does the term 'variable' mean in algebra?
A symbol used to represent an unknown value
35
Fill in the blank: The function f(x) = x² is an example of a ______ function.
quadratic
36
What is the difference between a permutation and a combination?
A permutation considers order, while a combination does not.
37
What is the formula for the slope of a line?
m = (y2 - y1) / (x2 - x1)
38
True or False: A negative exponent represents a reciprocal.
True
39
What is the formula for the surface area of a cube?
A = 6a², where a is the length of a side
40
What does 'congruent' mean in geometry?
Figures that have the same shape and size
41
Fill in the blank: The formula for calculating simple interest is ______.
I = PRT
42
What is the definition of an irrational number?
A number that cannot be expressed as a simple fraction
43
What is the relationship between parallel lines?
They never intersect and are equidistant from each other.
44
True or False: The circumference of a circle can be calculated using the formula C = πd.
True
45
What is the area of a trapezium formula?
A = 1/2 × (a + b) × h, where a and b are the lengths of the parallel sides
46
What is the definition of a composite number?
A natural number greater than 1 that is not prime.
47
What is the formula for calculating the gradient of a line?
Change in y / Change in x
48
Fill in the blank: The sum of the exterior angles of a polygon is always ______.
360 degrees
49
What does 'discriminant' refer to in quadratic equations?
The expression b² - 4ac used to determine the nature of the roots.
50
What is the formula for the volume of a cone?
V = 1/3πr²h
51
True or False: The distance formula can be derived from the Pythagorean theorem.
True
52
What is the definition of an angle bisector?
A line that divides an angle into two equal angles.
53
What is the formula for calculating compound interest?
A = P(1 + r/n)^(nt)
54
Fill in the blank: The formula for the area of a sector is ______.
A = (θ/360) × πr²
55
What is the definition of a unit circle?
A circle with a radius of 1, centered at the origin of a coordinate plane.
56
What does 'asymptote' mean in mathematics?
A line that a graph approaches but never touches.
57
What is the formula for the perimeter of a rectangle?
P = 2(length + width)
58
True or False: In a normal distribution, the mean, median, and mode are all equal.
True
59
What is the definition of a function?
A relation that assigns exactly one output for each input.
60
Fill in the blank: The formula for the area of a rhombus is ______.
A = (d1 × d2) / 2
61
What is the definition of a chord in a circle?
A line segment whose endpoints lie on the circle.
62
What is the formula for the surface area of a cylinder?
A = 2πrh + 2πr²
63
True or False: The median is affected by extreme values in a data set.
False

Maths (3 decks)

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