Number Facts Flashcards
How do you find 1% of a number?
Divide it by 100
How do you find 10% of a number?
Divided it by 10
How do you find 50% of a number?
Halve it (divide it by 2)
How would we write the recurring decimal 0.4444444… using dot notation
0.4 with a dot above the 4
What is 0.33333…. (0.3 with a dot over the 3) as a fraction?
One third (1/3)
What’s 0.5 as a fraction?
One Half
What’s one eighth as a decimal?
0.125
What’s one quarter as a decimal?
0.25
Write 0.3 as a fraction
Three tenths
Write three quarters as a percentage
0.75
What decimal multiplier is used to increase a value by 4%
x 1.04
What decimal multiplier is used to decrease a value by 15%?
x 0.85
What decimal multiplier is used to decrease a value by 4%
x 0.96
What decimal multiplier is used to increase a value by 15%?
x 1.15
What decimal multiplier is used to increase a value by 0.6%?
x 1.006
What decimal multiplier is used to increase a value by 2.4%?
x 1.024
Evaluate 1000 to the power of one third
10
Using Index laws when we multiply two terms with the same base what do we do with the indices?
Add them
Using index laws when we divide two terms with the same base what do we do to the indices?
Subtract them
What is anything to the power of 0?
1
How do we find any number to the power of minus 1?
Take the reciprocal - one over the number
Evaluate 10 to the power of negative 2
1 / 100 = 0.01
In standard index form, numbers are expressed as a x 10 to the power n. What are the restrictions on a?
1 ≤ a < 10
In standard index form, numbers are expressed as a x 10 to the power n. What are the restrictions on n?
Must be an interger (negative integers are ok)
Why must 3.27 x 10¯³ be smaller than 1?
There is a negative power of 10
Why is 0.46 x 10⁹ not in standard form?
0.46 is not between 1 and 10
Why is 24 x 10¯² not in standard form?
24 is not between 1 and 10
Why is 2.85 x 4³ not in standard form?
The base of the index part is 4, when it must be 10 in standard form
List the first five multiples of 7
7, 14, 21, 28, 35
List the first five cube numbers.
1, 8, 27, 64, 125
List the first five positive odd numbers
1, 3, 5, 7, 9
List the first five powers of two
2, 4, 8, 16, 32
List the first five triangular numbers.
1, 3, 6, 10, 15
List all the factors of 12.
1, 2, 3, 4, 6, 12
What’s the value of 8²?
64
What are the first five square numbers?
1, 4, 9, 16, 25
What is the Square root of 121?
11
What’s the cube root of 27?
3
What’s the square root of 144?
12
What’s the value of 10³?
1000
List the first five prime numbers
2, 3, 5, 7, 11
How many factors does every prime number have?
2
How many prime numbers are also even numbers?
1 (which is the number 2)
Why is 77 not a prime number?
7 x 11
Why is 324378 not a prime number?
Even, so a multiple of 2.
What is a factor of a number?
Any integer that divides the number exactly.
What is a multiple of a number?
Any integer that is in its times table
What is the Highest Common Factor of two numbers?
The largest number that is a factor of both of the numbers
What is the Lowest Common Multiple of two numbers?
The smallest number that is a multiple of both of the numbers
Is the Lowest Common Multiple of two numbers smaller or bigger than those numbers?
Bigger
Is the Highest Common Factor of two numbers smaller or bigger than those numbers?
Smaller
If y = kx and k is constant what’s the proportional relationship between x and y?
y is directly proportional to x
If y = k/x what’s the proportional relationship between x and y?
y is inversely proportional to x
If y = kx² and k is constant what’s the proportional relationship between x and y?
y is directly proportional to x²
If y = kx³ and k is constant what’s the proportional relationship between x and y?
y is directly proportional to x³
If y = k/x² what’s the proportional relationship between x and y?
y is inversely proportional to x²
If y = k√x and k is constant what’s the proportional relationship between x and y?
y is directly proportional to the square root of x
How do we calculate speed?
Distance divided by time
How do you calculate density?
Mass divided by volume
If distance is measured in metres and time is measured in seconds, what unit would represent acceleration?
m/s²
In a distance time graph what does the gradient represent?
Speed
On a velocity time graph what does the gradient represent?
Acceleration
On a velocity time graph, what does the area under the curve represent?
Distance covered
How do you calculate mass using density and volume?
Mass = Density x Volume
How do you calculate volume using density and mass?
Volume = Mass ÷ Density
How do you calculate Pressure?
Force ÷ area
