maths

Question 1

how do you calculate the mode?

Answer 1

find the most common value

Question 2

how do you calculate the mean

Answer 2

the sum of values divided by the number of values

Question 3

how do you calculate the median

Answer 3

find the middle value in an ordered list
- if two numbers find the middle number between the two e.g. 4 and 8 = 6

Question 4

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

Answer 4

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

Question 5

what is 7x7x7x7x7

Answer 5

7⁵

Question 6

calculate the value of 9¹

Answer 6

9

Question 7

x¹ = ?

Answer 7

x

Question 8

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

Answer 8

-12

Question 9

-12x-12=

Answer 9

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

Question 10

(-6)²

Answer 10

36

Question 11

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

Answer 11

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

Question 12

√81 + 4

Answer 12

13
- 9 + 4

Question 13

1²⁵³

Answer 13

1

Question 14

0²⁵³

Answer 14

0

Question 15

28⁰

Answer 15

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

Question 16

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

Answer 16

1

Question 17

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

Answer 17

itself

Question 18

find the difference between √25 and √4

Answer 18

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

Question 19

calculate the product of 2³ and 5²

Answer 19

200
-2³=8
-5²=25
-25x8=200

Question 20

10,000=10▀

Answer 20

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

Question 21

2▀=64

Answer 21

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

Question 22

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

Answer 22

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

Question 23

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

Answer 23

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

Question 24

how do you calculate the range

Answer 24

maximum value - minimum value

Question 25

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

Answer 25

6

Question 26

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

Answer 26

- 5 - median = 11 - mode =16

Question 27

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?

Answer 27

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

Question 28

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.

Answer 28

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

Question 29

the mean of the 3 numbers below is 9. what is the missing number? 6,8,?

Answer 29

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

Question 30

the mode of three numbers is 3. the mean of three numbers is 6. what are the three numbers? ?,?,?

Answer 30

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

Question 31

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,?,?,?

Answer 31

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

Question 32

write 2/5 as a decimal

Answer 32

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

Question 33

Write 0.34 as a fraction in its simplest form.

Answer 33

17/50 - 0.34 = 34/100 - simplify - 100 ÷2 = 50 - 34 ÷ 2 = 17

Question 34

What is 64/200 written as a decimal?

Answer 34

0.32 64/200 = 32/100 (÷ denominator to get to a number the power of 10 then divide numerator by same number)

Question 35

What percentage is equivalent to 23/50?

Answer 35

23% - convert denominator to 100 - 50 x 2 - 23 x 2

Question 36

Convert 0.07 to a percentage.

Answer 36

- 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)

Question 37

how do you calculate area

Answer 37

height x width

Question 38

how do you calculate the perimeter

Answer 38

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

Question 39

Solve 5x - 2 = 18

Answer 39

5x -2 = 18 +2 +2 5x = 20 ÷5 ÷5 x =4

Question 40

Solve x/2 -3=8 x = ...

Answer 40

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

Question 41

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

Answer 41

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

Question 42

speed =

Answer 42

distance ÷ time

Question 43

what does unshaded circle on a number line mean

Answer 43

the number cannot be equal to the marked value

Question 44

what does ≤ mean

Answer 44

inequality - less than or equal to

Question 45

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

Answer 45

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

Question 46

what is a translation

Answer 46

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