1. Knowledge Organiser: Year 7 Spring 1
10 Key Words
Definition
5 Facts S
Ascending order
Going up from the smallest to the largest
Quadrilateral
A four sided shape
Sum
Adding numbers together
Product
Multiplication
Quotient
Division
5 Formulae

2. 1 The angles inside a triangle add upto ______degrees
Year 7 Knowledge Organiser Test
1 The angles inside a triangle add upto ______degrees
Find the missing angle a
Write down the first five Prime Numbers
Sketch an acute angle.
Find the area of this triangle
Find the sum of 16 and 12
What is the product of 7 and 4?
Why is 23 a prime number?
Sketch a Quadrilateral
Put the numbers in ascending order 3.1, 6.2 , 0.2 , 4.3 , 6.4 , 1 , 9.1

3. Knowledge Organiser: Year
10 Key Words
Definition
5 Facts
Integer
A whole number (can be positive, negative or zero, not fractional or decimal)
Reflective Symmetry
Where, using a mirror or mirror line one side of the object is exactly reflected
Rotational Symmetry
the image is rotated (around a central point) so that it appears 2 or more times. How many times it appears is called the Order
Symmetry
Symmetry is when two or more parts are identical after a flip, slide or turn.
Quadrilateral
A four sided shape
5 Formulae

4. Knowledge Organiser: Year 9 Spring 1
10 Key Words
Definition
5 Facts
Square Numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144…
Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34…
Cube Numbers:1, 8, 27, 64, 125, 216, 343, 512, 729, 1000…
50% = 1 2
25% = 1 4
Secondary Data
Data that is collected by somebody other than the investigator
Primary Data
Data that is collected by the investigator
Discrete Data
Data that can be counted
Continuous Data
Data that can be measured
Median
The middle number when the data is put in order
Significant Figure
Each of the digits of a number, starting from the first non-zero digit
Percent
Out of 100
Estimate
Find an answer that is close enough to the right answer, usually involving a calculation
Ascending
Going from smallest to largest
Descending
Going from largest to smallest
5 Formulae
Frequency Density = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑐𝑙𝑎𝑠𝑠 𝑤𝑖𝑑𝑡ℎ
Frequency = frequency density x class width
Angle in a Pie Chart = 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360°
Interquartile Range = Upper Quartile – Lower quartile
Range = Biggest number – smallest number

5. Knowledge Organiser: Test 1
Is the following sequence ascending or descending:
5, 9, 13, 17, 21….
2) What do we mean by percent?
3) What is the formula for Frequency Density?
4) Write out the first 12 square numbers?
5) What is a significant figure?
6) How do you find the range?
7) What is the median of 4, 5, 7, 9, 2?
8) What is primary data?
9) What is as a percentage?
10) What is continuous data?
Ascending
Out of 100
Frequency Density = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑐𝑙𝑎𝑠𝑠 𝑤𝑖𝑑𝑡ℎ
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Each of the digits of a number, starting from the first non-zero digit
Biggest number – Smallest number 5
Data collected by the investigator
50%
Data that can be measured

6. Knowledge Organiser: Test 2
1) Write an example of a descending sequence?
2) What is an estimate?
3) What is the formula for Interquartile Range?
4) What is the name of this sequence: 1, 1, 2, 3, 5, 8, 13, 21…?
5) What is discrete data?
6) What is the range of 23, 24, 53, 27, 63, 72?
7) What is the median of 5, 8, 2, 8, 9, 4?
8) How do you find the angle size in a pie chart ?
9) What is as a percentage?
10) Data that is collected by somebody other than investigator is called?
Any sequence that goes down in value
Find an answer that is close enough to the right answer, usually involving a calculation
Upper Quartile – Lower quartile
Fibonacci
Data that can be counted 49
6.5
𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360°
25%
Secondary Data

7. Knowledge Organiser: Test 3
Estimate the answer to 5.4 ×
How do you calculate the frequency density?
What is primary data?
Write down the Fibonacci sequence.
Write an example of ascending sequence.
Write down the first 5 square numbers?
How do you find the angle in a pie chart?
Find the median of 11, 32, 27, 34, 31, 28
What is the first significant figure of 0.128
Write 50% as a fraction. 20
𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝐶𝑙𝑎𝑠𝑠 𝑊𝑖𝑑𝑡ℎ
Data collected by the investigator
1, 1, 2, 3, 5, 8, 13, 21…
Any sequence that goes up in value
1, 4, 9, 16, 25
𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360°
29.5 1
1 2

8. Knowledge Organiser: Test 4
Estimate the answer to 24 ×19 48
What is the formula for the frequency on a histogram?
How do you find the interquartile range?
What is the median?
What does descending mean?
Write down the first 5 cube numbers?
What is the difference between secondary and primary data?
Find the range of 62, 34, 48, 47, 51, 54
What is the first significant figure of 2781
What does percent mean 8
Frequency density x class width
Upper quartile – lower quartile
The middle number when numbers are ordered
Going from largest to smallest
1, 8, 27, 64, 125
Secondary is collected by somebody else, primary is collected by the investigator 28 2
out of 100

9. Knowledge Organiser: Test 5
What does estimate mean?
What is secondary data?
Which type of data can be counted?
What does percent mean
Write an example of descending sequence.
Write down the square numbers?
How do you find the interquartile range?
The smallest number is 8. The range is 7. What is the biggest number?
What is the first significant figure of 0.045
Write
Find an answer that is close enough to the right answer, usually involving a calculation
Data collected by somebody other than the investigator
Discrete data
Out of 100
Any sequence that goes down in value
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Upper quartile – lower quartile 15 4
25%

10. Knowledge Organiser: Test 6
Estimate the answer to 128 ×28 4.5
What do you use the following formula for
𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑐𝑙𝑎𝑠𝑠 𝑤𝑖𝑑𝑡ℎ
3) How do you work out the range?
4) Write down the cube numbers?
5) The range is 12. The highest number is 37. What is the lowest number?
6) What is continuous data?
7) How do you find the angle in a pie chart?
8) Find the median of -3, 2, -5, -3, 1, 0
9) What is the third significant figure of 40357
10) What is primary data ?
600
Frequency Density
Biggest number – smallest number
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 25
Data that can be measured
𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑇𝑜𝑡𝑎𝑙 𝐹𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 x 360°
-1.5 3
data collected by the investigator

11. Knowledge Organiser: Year
10 Key Words
Definition
5 Facts
Area
 The area of a shape is a measure of the two dimensional space that it covers.
Perimeter
Perimeter refers to the distance all the way around the outside edge of a shape.
Circumference
Circumference is the distance around a circle.
trapezium
a quadrilateral with one pair of sides parallel.
vertices
A vertex (plural: vertices) is a point where two or more line segments meet. It is a Corner.
arc
an arc is any smooth curve joining two points.
Surface area
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
parallelogram
A Parallelogram is a flat shape with opposite sides parallel and equal in length.
 tangent
A tangent to a circle is a straight line which touches the circle at only one point. 
Sector of a circle
 is the portion of a disk enclosed by two radii and an arc
A tangent and radius meet at a right angle
Opposite angles of a parallelogram are also equal
Formulae

12. What formula for area of a circle What is a tangent
What is circumference
What is a vertex
What is a trapezium
What formula for area of a circle
What is a tangent
What is the formula for area of a parallelogram
What is the area of a trapezium with parallel sides of length 5cm and 7cm and height of 4cm
What is the formula for the area of a triangle
A tangent and radius meet at what angle
Circumference is the distance around a circle.
A point where 2 or more points meet
a quadrilateral with one pair of sides parallel
A tangent to a circle is a straight line which touches the circle at only one point. 
Base x Height
24 𝑐𝑚 2
𝑏×ℎ 2
90°

13. Knowledge Organiser Spring 1 Half Term: Year 11
10 Key Words
Definition
5 Facts
Expression
Numbers, symbols and operators (like +, -, x, /) grouped together without an equal sign
Equation
A mathematical statement that two things are equal. (Has an equal sign)
Formula
A group of mathematical symbols that show a relationship and are used to solve a problem.
Simplify
Collect like terms and make an expression look less complex.
Expand
Multiply the term or terms on the outside of a bracket by all terms inside a bracket. (Opposite of factorise)
Solve
Find the value of the variable (the unknown term).
Factorise
Back to brackets. To find the factors that multiply to create an expression. (Opposite of expanding)
Consecutive
Following each other. Two consecutive numbers are 3 and 4 for example.
Estimate
Round to find an approximate answer.
Term
A number, variable, or number-variable combination in an algebraic expression. Terms are separated by +, - or =.
Terms also appear in sequences and are separated by commas.
Metric units:
Length – use mm, cm, m, km
Area – use mm2, cm2, m2, km2, (hectares)
Volume – use mm3, cm3, m3, ml, litres
Mass – use g, kg
Conversions: 1 litre = 1000 ml = 𝒄𝒎 𝟑
1cm = 10mm kg = 1000g
1m = 100cm kg = 2.2 pounds
1km = 1000m 5 miles = 8 km
5 Formulae

14. Knowledge Organiser Spring1 Half Term: Year 11
Answer the following Knowledge Organiser Questions in the back of your book.
Write the definitions to the following mathematical words:
6. Give two examples of units of AREA
7. Give two examples of units of Volume
8. Convert 2 litres to 𝒄𝒎 𝟑
9. Convert 10 miles to km
10. Write the formula for Pythagoras Theorem. 1. 2. 3. 4. 5.

15. Knowledge Organiser Spring1 Half Term: Year 11
Answer the following Knowledge Organiser Questions in the back of your book.
Write the definitions to the following mathematical words: 1.
6. Give two examples of units of Mass
7. Give two examples of units of Distance
8. Convert 2km to m
9. Convert 5kg to g
10. Write the formula for volume of a prism. 2. 3. 4. 5.

16. Knowledge Organiser Spring1 Half Term: Year 11
Answer the following Knowledge Organiser Questions in the back of your book.
6. Simplify means…..
7. A term is….
8. Give an example of three consecutive numbers.
9. Convert 16 km to miles
10. Estimate an answer for 1. 2. 3. 4.
Calculate the volume of a cuboid with a length of 4cm, a width of 5cm and a height of 10cm
Write the formula for the volume of a cylinder 5.

17. Knowledge Organiser Spring1 Half Term: Year 11
Answer the following Knowledge Organiser Questions in the back of your book.
To solve means…..
To expand means…
How is expanding and factorising related?
Write the formula for the volume of a prism.
Give 3 examples for units of distance.
If I travelled 8 km what would that be in miles?
Write a definition for term.
The expression 3a+5b-3ab has 3 terms- what are they?
Find an estimate for the calculation
1.5
10. Give an example of 5 consecutive odd numbers.

18. Knowledge Organiser Spring1 Half Term: Year 11
Answer the following Knowledge Organiser Questions in the back of your book.
Write the definitions to the following mathematical words:
6. Give two examples of units of AREA
7. Give two examples of units of Volume
8. Convert 2 litres to 𝒄𝒎 𝟑
9. Convert 10 miles to km
10. Write the formula for Pythagoras Theorem. 1. 2. 3. 4. 5.

19. Knowledge Organiser Spring1 Half Term: Year 11
Answer the following Knowledge Organiser Questions in the back of your book.
Write the definitions to the following mathematical words: 1.
6. Give two examples of units of Mass
7. Give two examples of units of Distance
8. Convert 2km to m
9. Convert 5kg to g
10. Write the formula for volume of a prism. 2. 3. 4. 5.