Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

maths > maths > Flashcards

maths Flashcards

1
Q

how do you calculate the mode?

A

find the most common value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

how do you calculate the mean

A

the sum of values divided by the number of values

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

how do you calculate the median

A

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 well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

how do you find out the value of the square root of a number

A

you find the factor that multiplies by itself to get the number in the square root e.g √36 = 6 (6x6=36)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

what is 7x7x7x7x7

A

7⁵

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

calculate the value of 9¹

A

9

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

x¹ = ?

A

x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

there are two square roots of 144. one is 12. what is the other?

A

-12

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

-12x-12=

A

144
- negative x negative equals the same as if the number was positive x positive

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

(-6)²

A

36

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

find the value that is 2 more than the square root of 36

A

8
- √36 = 6
- 2 more values that 6 = 6+2 = 8

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

√81 + 4

A

13
- 9 + 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

1²⁵³

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

0²⁵³

A

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

28⁰

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

a number with the power of 0 is equal to..?

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

a number with the power of 1 is equal to..?

A

itself

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

find the difference between √25 and √4

A

3
- √25=5
-√4=2
-difference between 2 and 5 = 3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

calculate the product of 2³ and 5²

A

200
-2³=8
-5²=25
-25x8=200

20
Q

10,000=10▀

A

4
- 10 x 10=100
-100x10=1000
-1000x10=10000

21
Q

2▀=64

A

6
- 2x2=4
-4x2=8
-8x2=16
-16x2=32
-32x2=64

22
Q

find the range and median of these numbers:
14,8,20,9,20,26

A

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

23
Q

a football team scored a total of 25 goals in 10 matches, what is the mean number of goals the team scored per match?

A

2.5
- mean=sum of values ÷ number of values
-25 ÷ 10 = 2.5

24
Q

how do you calculate the range

A

maximum value - minimum value

25
Q

the range of a set of numbers is 5
- the minimum number is 1
- what is the maximum number?

A

6

26
Q

work out the difference between the median and the mode of the following numbers:
16,2,1,16,19,6

A
  • 5
  • median = 11
  • mode =16
27
Q

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?

A

8

  • minimum = 6
  • range = 5 so ? - 6 = 5
  • -? = 11
  • so numbers are 6,11,7
  • mean = 6+11+7 = 24÷3 = 8
  • mean = 8
28
Q

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.

A

150

  • mean = sum of values - number of values
  • 15 - ? ÷ 10
  • 10 x 15 = 150
29
Q

the mean of the 3 numbers below is 9. what is the missing number?

6,8,?

A

13

mean = sum of values ÷ number of values
9 = (6+8+?)÷3
9x3=6+8+?
27 = 14 + ?
27 - 14 = 13

30
Q

the mode of three numbers is 3.

the mean of three numbers is 6.

what are the three numbers?

?,?,?

A

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
31
Q

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,?,?,?

A

p=number of boxes with a prize / total number of boxes
p= 1/4

32
Q

write 2/5 as a decimal

A

0.4

  • convert the fraction to an equivalent fraction with the denominator of 10
  • 2/5 = 4/10 (5x2 2x2)
    -then convert to decimal
33
Q

Write 0.34 as a fraction in its simplest form.

A

17/50

  • 0.34 = 34/100
  • simplify
  • 100 ÷2 = 50
  • 34 ÷ 2 = 17
34
Q

What is
64/200
written as a decimal?

A

0.32

64/200 = 32/100
(÷ denominator to get to a number the power of 10 then divide numerator by same number)

35
Q

What percentage is equivalent to
23/50?

A

23%

  • convert denominator to 100
  • 50 x 2
  • 23 x 2
36
Q

Convert 0.07 to a percentage.

A
  • 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)
37
Q

how do you calculate area

A

height x width

38
Q

how do you calculate the perimeter

A

add the lengths of the shape
- the perimeter is the distance around the edge of a shape

39
Q

Solve 5x - 2 = 18

A

5x -2 = 18
+2 +2
5x = 20
÷5 ÷5
x =4

40
Q

Solve x/2 -3=8
x = …

A

x/2 -3 =8
+3 +3
x/2 =11
x2 x2
x =22

41
Q

What is the value of 3 + 5x when x = 3?

A

18

5x means 5 x x
3 + 5 x x
3 + 5 x 3
3 + 15
18

42
Q

speed =

A

distance ÷ time

43
Q

what does unshaded circle on a number line mean

A

the number cannot be equal to the marked value

44
Q

what does ≤ mean

A

inequality - less than or equal to

45
Q

Expand and simplify (p+8)(p+1)

A

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
46
Q

what is a translation

A

a shape that has move but kept its original shape, size and orientation(doesn’t turn around)

47
Q
A

maths (7 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions