Number Facts

Question 1

How do you find 1% of a number?

Answer 1

Divide it by 100

Question 2

How do you find 10% of a number?

Answer 2

Divided it by 10

Question 3

How do you find 50% of a number?

Answer 3

Halve it (divide it by 2)

Question 4

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

Answer 4

0.4 with a dot above the 4

Question 5

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

Answer 5

One third (1/3)

Question 6

What’s 0.5 as a fraction?

Answer 6

One Half

Question 7

What’s one eighth as a decimal?

Answer 7

0.125

Question 8

What’s one quarter as a decimal?

Answer 8

0.25

Question 9

Write 0.3 as a fraction

Answer 9

Three tenths

Question 10

Write three quarters as a percentage

Answer 10

0.75

Question 11

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

Answer 11

x 1.04

Question 12

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

Answer 12

x 0.85

Question 13

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

Answer 13

x 0.96

Question 14

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

Answer 14

x 1.15

Question 15

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

Answer 15

x 1.006

Question 16

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

Answer 16

x 1.024

Question 17

Evaluate 1000 to the power of one third

Answer 17

10

Question 18

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

Answer 18

Add them

Question 19

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

Answer 19

Subtract them

Question 20

What is anything to the power of 0?

Answer 20

1

Question 21

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

Answer 21

Take the reciprocal - one over the number

Question 22

Evaluate 10 to the power of negative 2

Answer 22

1 / 100 = 0.01

Question 23

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

Answer 23

1 ≤ a < 10

Question 24

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

Answer 24

Must be an interger (negative integers are ok)

Question 25

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

Answer 25

There is a negative power of 10

Question 26

Why is 0.46 x 10⁹ not in standard form?

Answer 26

0.46 is not between 1 and 10

Question 27

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

Answer 27

24 is not between 1 and 10

Question 28

Why is 2.85 x 4³ not in standard form?

Answer 28

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

Question 29

List the first five multiples of 7

Answer 29

7, 14, 21, 28, 35

Question 30

List the first five cube numbers.

Answer 30

1, 8, 27, 64, 125

Question 31

List the first five positive odd numbers

Answer 31

1, 3, 5, 7, 9

Question 32

List the first five powers of two

Answer 32

2, 4, 8, 16, 32

Question 33

List the first five triangular numbers.

Answer 33

1, 3, 6, 10, 15

Question 34

List all the factors of 12.

Answer 34

1, 2, 3, 4, 6, 12

Question 35

What's the value of 8²?

Answer 35

64

Question 36

What are the first five square numbers?

Answer 36

1, 4, 9, 16, 25

Question 37

What is the Square root of 121?

Answer 37

11

Question 38

What's the cube root of 27?

Answer 38

3

Question 39

What's the square root of 144?

Answer 39

12

Question 40

What's the value of 10³?

Answer 40

1000

Question 41

List the first five prime numbers

Answer 41

2, 3, 5, 7, 11

Question 42

How many factors does every prime number have?

Answer 42

2

Question 43

How many prime numbers are also even numbers?

Answer 43

1 (which is the number 2)

Question 44

Why is 77 not a prime number?

Answer 44

7 x 11

Question 45

Why is 324378 not a prime number?

Answer 45

Even, so a multiple of 2.

Question 46

What is a factor of a number?

Answer 46

Any integer that divides the number exactly.

Question 47

What is a multiple of a number?

Answer 47

Any integer that is in its times table

Question 48

What is the Highest Common Factor of two numbers?

Answer 48

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

Question 49

What is the Lowest Common Multiple of two numbers?

Answer 49

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

Question 50

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

Answer 50

Bigger

Question 51

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

Answer 51

Smaller

Question 52

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

Answer 52

y is directly proportional to x

Question 53

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

Answer 53

y is inversely proportional to x

Question 54

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

Answer 54

y is directly proportional to x²

Question 55

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

Answer 55

y is directly proportional to x³

Question 56

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

Answer 56

y is inversely proportional to x²

Question 57

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

Answer 57

y is directly proportional to the square root of x

Question 58

How do we calculate speed?

Answer 58

Distance divided by time

Question 59

How do you calculate density?

Answer 59

Mass divided by volume

Question 60

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

Answer 60

m/s²

Question 61

In a distance time graph what does the gradient represent?

Answer 61

Speed

Question 62

On a velocity time graph what does the gradient represent?

Answer 62

Acceleration

Question 63

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

Answer 63

Distance covered

Question 64

How do you calculate mass using density and volume?

Answer 64

Mass = Density x Volume

Question 65

How do you calculate volume using density and mass?

Answer 65

Volume = Mass ÷ Density

Question 66

How do you calculate Pressure?

Answer 66

Force ÷ area