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Walbottle Higher Facts 2 By Area > Number Facts > Flashcards

Number Facts Flashcards

1
Q

How do you find 1% of a number?

A

Divide it by 100

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2
Q

How do you find 10% of a number?

A

Divided it by 10

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3
Q

How do you find 50% of a number?

A

Halve it (divide it by 2)

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4
Q

How would we write the recurring decimal 0.4444444… using dot notation

A

0.4 with a dot above the 4

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5
Q

What is 0.33333…. (0.3 with a dot over the 3) as a fraction?

A

One third (1/3)

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6
Q

What’s 0.5 as a fraction?

A

One Half

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7
Q

What’s one eighth as a decimal?

A

0.125

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8
Q

What’s one quarter as a decimal?

A

0.25

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9
Q

Write 0.3 as a fraction

A

Three tenths

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10
Q

Write three quarters as a percentage

A

0.75

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11
Q

What decimal multiplier is used to increase a value by 4%

A

x 1.04

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12
Q

What decimal multiplier is used to decrease a value by 15%?

A

x 0.85

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13
Q

What decimal multiplier is used to decrease a value by 4%

A

x 0.96

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14
Q

What decimal multiplier is used to increase a value by 15%?

A

x 1.15

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15
Q

What decimal multiplier is used to increase a value by 0.6%?

A

x 1.006

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16
Q

What decimal multiplier is used to increase a value by 2.4%?

A

x 1.024

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17
Q

Evaluate 1000 to the power of one third

A

10

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18
Q

Using Index laws when we multiply two terms with the same base what do we do with the indices?

A

Add them

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19
Q

Using index laws when we divide two terms with the same base what do we do to the indices?

A

Subtract them

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20
Q

What is anything to the power of 0?

A

1

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21
Q

How do we find any number to the power of minus 1?

A

Take the reciprocal - one over the number

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22
Q

Evaluate 10 to the power of negative 2

A

1 / 100 = 0.01

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23
Q

In standard index form, numbers are expressed as a x 10 to the power n. What are the restrictions on a?

A

1 ≤ a < 10

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24
Q

In standard index form, numbers are expressed as a x 10 to the power n. What are the restrictions on n?

A

Must be an interger (negative integers are ok)

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25
Q

Why must 3.27 x 10¯³ be smaller than 1?

A

There is a negative power of 10

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26
Q

Why is 0.46 x 10⁹ not in standard form?

A

0.46 is not between 1 and 10

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27
Q

Why is 24 x 10¯² not in standard form?

A

24 is not between 1 and 10

28
Q

Why is 2.85 x 4³ not in standard form?

A

The base of the index part is 4, when it must be 10 in standard form

29
Q

List the first five multiples of 7

A

7, 14, 21, 28, 35

30
Q

List the first five cube numbers.

A

1, 8, 27, 64, 125

31
Q

List the first five positive odd numbers

A

1, 3, 5, 7, 9

32
Q

List the first five powers of two

A

2, 4, 8, 16, 32

33
Q

List the first five triangular numbers.

A

1, 3, 6, 10, 15

34
Q

List all the factors of 12.

A

1, 2, 3, 4, 6, 12

35
Q

What’s the value of 8²?

A

64

36
Q

What are the first five square numbers?

A

1, 4, 9, 16, 25

37
Q

What is the Square root of 121?

A

11

38
Q

What’s the cube root of 27?

A

3

39
Q

What’s the square root of 144?

A

12

40
Q

What’s the value of 10³?

A

1000

41
Q

List the first five prime numbers

A

2, 3, 5, 7, 11

42
Q

How many factors does every prime number have?

A

2

43
Q

How many prime numbers are also even numbers?

A

1 (which is the number 2)

44
Q

Why is 77 not a prime number?

A

7 x 11

45
Q

Why is 324378 not a prime number?

A

Even, so a multiple of 2.

46
Q

What is a factor of a number?

A

Any integer that divides the number exactly.

47
Q

What is a multiple of a number?

A

Any integer that is in its times table

48
Q

What is the Highest Common Factor of two numbers?

A

The largest number that is a factor of both of the numbers

49
Q

What is the Lowest Common Multiple of two numbers?

A

The smallest number that is a multiple of both of the numbers

50
Q

Is the Lowest Common Multiple of two numbers smaller or bigger than those numbers?

A

Bigger

51
Q

Is the Highest Common Factor of two numbers smaller or bigger than those numbers?

A

Smaller

52
Q

If y = kx and k is constant what’s the proportional relationship between x and y?

A

y is directly proportional to x

53
Q

If y = k/x what’s the proportional relationship between x and y?

A

y is inversely proportional to x

54
Q

If y = kx² and k is constant what’s the proportional relationship between x and y?

A

y is directly proportional to x²

55
Q

If y = kx³ and k is constant what’s the proportional relationship between x and y?

A

y is directly proportional to x³

56
Q

If y = k/x² what’s the proportional relationship between x and y?

A

y is inversely proportional to x²

57
Q

If y = k√x and k is constant what’s the proportional relationship between x and y?

A

y is directly proportional to the square root of x

58
Q

How do we calculate speed?

A

Distance divided by time

59
Q

How do you calculate density?

A

Mass divided by volume

60
Q

If distance is measured in metres and time is measured in seconds, what unit would represent acceleration?

A

m/s²

61
Q

In a distance time graph what does the gradient represent?

A

Speed

62
Q

On a velocity time graph what does the gradient represent?

A

Acceleration

63
Q

On a velocity time graph, what does the area under the curve represent?

A

Distance covered

64
Q

How do you calculate mass using density and volume?

A

Mass = Density x Volume

65
Q

How do you calculate volume using density and mass?

A

Volume = Mass ÷ Density

66
Q

How do you calculate Pressure?

A

Force ÷ area

Walbottle Higher Facts 2 By Area (7 decks)

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