Maths Summer term revision UIII Flashcards
What is the value of pi (π) to two decimal places?
3.14
True or False: The sum of the interior angles of a triangle is 180 degrees.
True
Fill in the blank: The formula for the area of a rectangle is ____.
length × width
What is the perimeter of a square with a side length of 5 cm?
20 cm
What is 15% of 200?
30
Multiple choice: What is the next number in the sequence 2, 4, 6, …? A) 7 B) 8 C) 9
B) 8
What is the greatest common divisor (GCD) of 12 and 16?
4
True or False: A prime number has exactly two distinct positive divisors.
True
Fill in the blank: The formula for the circumference of a circle is ____.
2πr
What is the value of 7 squared?
49
True or False: The mode of a set of numbers is the number that appears most frequently.
True
What is the probability of rolling a 3 on a standard six-sided die?
1/6
Multiple choice: Which shape has only one pair of parallel sides? A) Rectangle B) Trapezoid C) Triangle
B) Trapezoid
What is the lowest common multiple (LCM) of 3 and 5?
15
True or False: A right triangle has one angle measuring 90 degrees.
True
What is the volume of a cube with a side length of 3 cm?
27 cm³
Fill in the blank: The formula for the area of a triangle is ____.
1/2 × base × height
What is the range of the following set of numbers: 4, 8, 15, 16, 23, 42?
38
What is 25 divided by 5?
5
True or False: An obtuse angle measures more than 90 degrees.
True
How many sides does a scalene triangle have?
3
What is a 2D shape?
A shape that has two dimensions: length and width.
True or False: A square is a type of rectangle.
True
How many sides does a triangle have?
Three
Fill in the blank: A shape with four equal sides and four right angles is called a ______.
Square
What is the sum of the interior angles of a quadrilateral?
360 degrees
Multiple Choice: Which of the following is NOT a 2D shape? A) Circle B) Triangle C) Cube
C) Cube
What do you call a polygon with five sides?
Pentagon
True or False: All rectangles are parallelograms.
True
What is the name of a 2D shape that has no sides or corners?
Circle
Fill in the blank: A shape with six sides is called a ______.
Hexagon
Multiple Choice: Which shape has the largest area if all have the same perimeter? A) Square B) Rectangle C) Triangle
A) Square
What is the formula for the area of a rectangle?
Length × Width
True or False: A rhombus has opposite angles that are equal.
True
How many vertices does a pentagon have?
Five
What is the name of the longest side of a right triangle?
Hypotenuse
Fill in the blank: The sum of the interior angles of a triangle is ______.
180 degrees
Multiple Choice: Which of the following shapes is always symmetrical? A) Circle B) Triangle C) Trapezoid
A) Circle
What is a trapezoid?
A four-sided shape with at least one pair of parallel sides.
True or False: An octagon has eight sides.
True
What is the difference between a regular and an irregular polygon?
A regular polygon has all sides and angles equal, while an irregular polygon does not.
Fill in the blank: A shape with eight sides is called an ______.
Octagon
How do you calculate the perimeter of a rectangle?
Add the lengths of all sides or use the formula 2 × (Length + Width).
What is the area of a triangle formula?
1/2 × Base × Height
True or False: A square can be classified as a rhombus.
True
How many sides does a regular hexagon have?
6
True or False: A square has four equal sides.
True
What is the sum of the interior angles of a triangle?
180 degrees
Fill in the blank: A shape with eight sides is called a __________.
octagon
How many sides does a regular pentagon have?
5
True or False: A rectangle is a type of parallelogram.
True
What do you call a 2D shape with no sides?
Circle
How many diagonals does a quadrilateral have?
2
What is the name of a 2D shape with 7 sides?
Heptagon
True or False: All rhombuses are rectangles.
False
What is the formula for calculating the area of a rectangle?
Length × Width
Fill in the blank: A shape with five sides is called a __________.
pentagon
How many vertices does a cube have?
8
What is the name of a triangle with all sides of different lengths?
Scalene triangle
How many sides does a regular decagon have?
10
True or False: An equilateral triangle has all angles equal.
True
What is the perimeter of a square with a side length of 4?
16
Fill in the blank: A __________ has opposite sides that are equal and parallel.
parallelogram
How many angles does a hexagon have?
6
What do you call a triangle with one angle greater than 90 degrees?
Obtuse triangle
True or False: A trapezoid has at least one pair of parallel sides.
True
What is the area of a triangle with a base of 10 and a height of 5?
25
How many sides does a dodecagon have?
12
Fill in the blank: A __________ is a quadrilateral with one pair of parallel sides.
trapezoid
What is the name of a circle’s longest diameter?
Chord
How many lines of symmetry does a regular pentagon have?
5
True or False: An isosceles triangle has at least two equal sides.
True
What is a vertex?
The point where two or more lines meet.
What is the face of the shape?
A flat surface
What is the edge of a shape?
Edges are the line of a shape
What is rotational symmetry?
Rotational symmetry is when a shape or object looks the same after being rotated around a central point by a certain angle less than 360 degree
What is rotational symmetry?
Rotational symmetry is when a shape can be rotated around a central point and still look the same at certain angles.
True or False: A square has rotational symmetry.
True
How many degrees can a regular pentagon be rotated to show rotational symmetry?
72 degrees
Fill in the blank: A shape that has rotational symmetry of order 4 can be rotated ______ degrees and still look the same.
90
What is the order of rotational symmetry for an equilateral triangle?
3
Multiple choice: Which of the following shapes has no rotational symmetry? A) Circle B) Rectangle C) Scalene triangle
C) Scalene triangle
True or False: A circle has infinite rotational symmetry.
True
How many lines of symmetry does a regular hexagon have?
6
What is the angle of rotation for a shape with an order of rotational symmetry of 6?
60 degrees
Fill in the blank: A rectangle has rotational symmetry of order ______.
2
Short answer: Name a common shape that has rotational symmetry of order 1.
Any shape that is not symmetric, such as a scalene triangle.
Multiple choice: Which shape has the highest order of rotational symmetry? A) Square B) Circle C) Regular dodecagon
B) Circle
True or False: An isosceles triangle has rotational symmetry.
False
What is the order of rotational symmetry for a square?
4
Fill in the blank: A regular octagon has rotational symmetry of order ______.
8
Short answer: What is the relationship between the order of rotational symmetry and the angles of rotation?
The order of rotational symmetry determines how many times a shape can be rotated to look the same within a full 360-degree rotation.
Multiple choice: At what angle does a regular hexagon exhibit its first rotational symmetry? A) 60 degrees B) 120 degrees C) 180 degrees
A) 60 degrees
True or False: A trapezoid has rotational symmetry.
False
What is the angle of rotation for a shape with order of rotational symmetry of 8?
45 degrees
Fill in the blank: A regular quadrilateral is another name for a ______.
square
Short answer: How can you determine if a shape has rotational symmetry?
By rotating the shape around its center and checking if it looks identical at certain angles.
Multiple choice: Which of the following shapes has rotational symmetry of order 3? A) Triangle B) Pentagon C) Hexagon
A) Triangle
True or False: A regular decagon has rotational symmetry of order 10.
True
What geometric property is essential for a shape to have rotational symmetry?
The shape must be uniform around its center.
Fill in the blank: If a shape can be rotated 180 degrees and still look the same, it has rotational symmetry of order ______.
2
What is volume?
The amount of the 3 dimensional space taken up by an object.
What is volume measured in?
units 3
What is the equation for working out volume?
V=LxWxH
What does cross section mean?
A cross section is when you cut through a 3D object with a flat surface
1 tonne is how many kg?
1000kg
1kg is how many g?
1000g
1km is how many metres?
1000m
1m is how many cm?
100cm
1year is how many hours?
8760 hours
1year is how many days?
365 days
If an angle is less than 90 what is it?
acute
If an angle is more that 90 but less than 180 what is it?
Obtuse
More that 180?
reflex
Angles on a straight line add up too?
180
Angles around a point add up to?
360
Angles in a triangle add up to?
180
Angles in a quadrilateral add up to?
360
Angles that are vertically opposite are?
equal
Anlernate angles are?
Equal and look like a Z
Corresponding angles are?
Equal and a bit like a F
CO interior angles are?
Adds up to 180 and look like a C
What is a ratio?
A ratio is a comparison of two quantities by division.
True or False: A ratio can be expressed as a fraction.
True
Fill in the blank: The ratio of 3 to 4 can be written as ____.
3:4
If the ratio of cats to dogs is 2:5, how many dogs are there if there are 10 cats?
25 dogs
What does it mean if a ratio is simplified?
It means reducing the ratio to its lowest terms.
Multiple choice: Which of the following represents a ratio? A) 2 + 3 B) 2:3 C) 2 - 3
B) 2:3
True or False: Ratios can only compare two quantities.
False
What is the ratio of 10 apples to 5 oranges in simplest form?
2:1
Fill in the blank: The ratio 8:12 can be simplified to ___.
2:3
What is the term used for the first number in a ratio?
Antecedent
What is the term used for the second number in a ratio?
Consequent
If the ratio of boys to girls in a classroom is 3:4, how many girls are there if there are 9 boys?
12 girls
Multiple choice: What is the ratio of 5 red balls to 15 blue balls? A) 1:3 B) 3:1 C) 1:1
A) 1:3
True or False: Ratios can be expressed in decimal form.
True
Fill in the blank: The ratio of 50 to 100 is the same as ___.
1:2
What is ratio?
A ratio is a way to compare two or more quantities by showing how many times one value contains or is contained within the other
What is proportion?
A proportion is used to compare parts of something in a whole. Can be expressed as a fraction, decimal or percentage.
What is factor?
A number that can be divided by without a remainder
What is a multiple?
A number that is the product of a number that is the product of a number and an integer. (that number’s times tables)
What is a product?
A product is the answer you get when you multiply two or more numbers
True or False: Every number has at least two factors.
True
Fill in the blank: The factors of 12 are _____ .
1, 2, 3, 4, 6, 12
Which of the following is a prime factor of 28? A) 2 B) 4 C) 7 D) Both A and C
D) Both A and C
What is the greatest common factor (GCF) of 8 and 12?
4
What is the greatest common factor (GCF) of 12 and 18?
6
True or False: The GCF of two prime numbers is always 1.
True
Fill in the blank: The GCF is the largest number that divides _______ without leaving a remainder.
both numbers
What method can be used to find the GCF of two numbers?
Prime factorization
Which of the following is a multiple of 5? A) 22 B) 30 C) 13
B) 30
What is a prime factor?
A prime factor is a prime number that multiplies with others to make a bigger number.
What is HCF
Is the largest integer that two or more numbers can divide by
What is LCM
Is defined as the smallest multiple that two or more numbers have in common.
