maths Flashcards
how do you calculate the mode?
find the most common value
how do you calculate the mean
the sum of values divided by the number of values
how do you calculate the median
find the middle value in an ordered list
- if two numbers find the middle number between the two e.g. 4 and 8 = 6
how do you find out the value of the square root of a number
you find the factor that multiplies by itself to get the number in the square root e.g √36 = 6 (6x6=36)
what is 7x7x7x7x7
7⁵
calculate the value of 9¹
9
x¹ = ?
x
there are two square roots of 144. one is 12. what is the other?
-12
-12x-12=
144
- negative x negative equals the same as if the number was positive x positive
(-6)²
36
find the value that is 2 more than the square root of 36
8
- √36 = 6
- 2 more values that 6 = 6+2 = 8
√81 + 4
13
- 9 + 4
1²⁵³
1
0²⁵³
0
28⁰
1
- any number with a power of 0 is equal to 1
- any number with a power of 1 is equal to itself
- e.g. 5⁰=1 5¹=5
a number with the power of 0 is equal to..?
1
a number with the power of 1 is equal to..?
itself
find the difference between √25 and √4
3
- √25=5
-√4=2
-difference between 2 and 5 = 3
calculate the product of 2³ and 5²
200
-2³=8
-5²=25
-25x8=200
10,000=10▀
4
- 10 x 10=100
-100x10=1000
-1000x10=10000
2▀=64
6
- 2x2=4
-4x2=8
-8x2=16
-16x2=32
-32x2=64
find the range and median of these numbers:
14,8,20,9,20,26
range=18
-maximum=26
-minimum=8
range=26-8=18
median=17
-order values = 8,9,14,20,20,26
-cross off outer values until two are left
=14 and 20
=middle between these numbers=17
a football team scored a total of 25 goals in 10 matches, what is the mean number of goals the team scored per match?
2.5
- mean=sum of values ÷ number of values
-25 ÷ 10 = 2.5
how do you calculate the range
maximum value - minimum value
the range of a set of numbers is 5
- the minimum number is 1
- what is the maximum number?
6
work out the difference between the median and the mode of the following numbers:
16,2,1,16,19,6
- 5
- median = 11
- mode =16
anthony has three numbers
- 6,?,7
- the minimum of the three cards is 6
- the range of the three cards is 5
- what is the mean of the three cards?
8
- minimum = 6
- range = 5 so ? - 6 = 5
- -? = 11
- so numbers are 6,11,7
- mean = 6+11+7 = 24÷3 = 8
- mean = 8
a train is made up of 10 carriages. the mean number of passengers per carriage is 15. work out the total number of passengers on the train.
150
- mean = sum of values - number of values
- 15 - ? ÷ 10
- 10 x 15 = 150
the mean of the 3 numbers below is 9. what is the missing number?
6,8,?
13
mean = sum of values ÷ number of values
9 = (6+8+?)÷3
9x3=6+8+?
27 = 14 + ?
27 - 14 = 13
the mode of three numbers is 3.
the mean of three numbers is 6.
what are the three numbers?
?,?,?
3,3,12
- 3,3,? (the mode is the most common value so we can assume at least 2 of the numbers are 3)
- mean(6) = sum of values ÷ number of values(3)
- 3x6=18
- 18 = sum of values
- 3+3+?= sum of values
-3+3+?=18
-6+?=18
-18-6=12
-?=12
A box is picked at random from this bag.
What is the probability that the box with the prize in is picked?
Give your answer as a fraction in its simplest form.
bag = prize,?,?,?
p=number of boxes with a prize / total number of boxes
p= 1/4
write 2/5 as a decimal
0.4
- convert the fraction to an equivalent fraction with the denominator of 10
- 2/5 = 4/10 (5x2 2x2)
-then convert to decimal
Write 0.34 as a fraction in its simplest form.
17/50
- 0.34 = 34/100
- simplify
- 100 ÷2 = 50
- 34 ÷ 2 = 17
What is
64/200
written as a decimal?
0.32
64/200 = 32/100
(÷ denominator to get to a number the power of 10 then divide numerator by same number)
What percentage is equivalent to
23/50?
23%
- convert denominator to 100
- 50 x 2
- 23 x 2
Convert 0.07 to a percentage.
- multiply by 100
t u . 1/10 1/100 0.2 0 . 0 7 x100 7
- the number moves back two places (dont move 0)
how do you calculate area
height x width
how do you calculate the perimeter
add the lengths of the shape
- the perimeter is the distance around the edge of a shape
Solve 5x - 2 = 18
5x -2 = 18
+2 +2
5x = 20
÷5 ÷5
x =4
Solve x/2 -3=8
x = …
x/2 -3 =8
+3 +3
x/2 =11
x2 x2
x =22
What is the value of 3 + 5x when x = 3?
18
5x means 5 x x
3 + 5 x x
3 + 5 x 3
3 + 15
18
speed =
distance ÷ time
what does unshaded circle on a number line mean
the number cannot be equal to the marked value
what does ≤ mean
inequality - less than or equal to
Expand and simplify (p+8)(p+1)
p² + 9p + 8
- multiply each term in the first set of brackets by each term in the second set of brackets
- p x p = p²
- p x 1 = 1p
- 8 x p = 8p
- 8 x 1 = 8
- p² + 1p + 8p + 8
= p² + 9p + 8 - put p first in sequence
what is a translation
a shape that has move but kept its original shape, size and orientation(doesn’t turn around)
