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maths. > YR 8 - HT 2 > Flashcards

YR 8 - HT 2 Flashcards

1
Q

Adding a positive and a positive together makes a what?

A

Positive.

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2
Q

Adding a positive and a negative together makes a what?

A

Negative.

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3
Q

Adding a negative and a negative together makes a what?

A

Positive.

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4
Q

-4 - 2 =

A

-6

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5
Q

-3 + 4 =

A

1

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6
Q

positive (+) x positive (+) =

A

positive (+)

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7
Q

negative (-) x positive (+) =

A

negative (-)

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8
Q

negative (-) x negative (-) =

A

positive (+)

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9
Q

9 x -3 =

A

-27

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10
Q

-5 x -4 =

A

20

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11
Q

-2 x 12 =

A

24

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12
Q

Step by step to work out:

8 x -10 x -3

A

➀ 8 x -10 = -80

➁ -80 x -3 = 240

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13
Q

Step by step to work out:

(-6)²

A

➀ -6 x -6 = 36

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14
Q

positive (+) ÷ positive (+) =

A

positive (+)

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15
Q

negative (-) ÷ positive (+) =

A

negative (-)

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16
Q

negative (-) ÷ negative (-) =

A

positive (+)

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17
Q

Step by step to work out:

50 ÷ -2 =

A

➀ 50 ÷ 2 = 25
➁ (+) ÷ (-) = (-)
➂ Answer = -25

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18
Q

-24 ÷ -3 =

A

➀ 24 ÷ 3 = 8
➁ (-) ÷ (-) = (+)
➂ Answer = 8

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19
Q

-100 ÷ 50 =

A

➀ 100 ÷ 50 = 2
➁ (-) ÷ (+) = (-)
➂ Answer = -2

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20
Q

Step by step to simplify:

6/9

A

➀ 6 & 9 are both multiples of 3
➁ 6÷3 & 9÷3
➂ Answer = 2/3 (Can’t be simplified more)

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21
Q

Step by step to simplify:

10/15

A

➀ 10 & 15 are both multiples of 5
➁ 10÷5 & 15÷5
➂ Answer = 2/3 (Can’t be simplified more)

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22
Q

Step by step to simplify:

18/27

A

➀ 18 & 27 are both multiples of 3 & 9 (Always pick biggest factor to divide with)
➁ 18÷9 & 27÷9
➂ Answer = 2/3 (Can’t be simplified more)

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23
Q

Simplify 70/80.

A

÷ 10 = 7/8

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24
Q

Simplify 5/9.

A

Can’t be simplified.

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25
Q

What is the decimal and percentage of:

1/2

A

0.5 & 50%

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26
Q

What is the decimal and percentage of:

2/2

A

1 & 100% (This is for every fraction with the same numerator and denominator)

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27
Q

What is the fraction and percentage of:

0.33…

A

⇨ 1/3

⇨ 33.333…% (33 ¹/₃%)

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28
Q

What is the fraction and decimal of:

66.66…%

A

⇨ 2/3

⇨ 0.66…

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29
Q

What is the decimal and percentage of:

1/4

A

⇨ 0.25

⇨ 25%

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30
Q

What is the fraction and percentage of:

0.5

A

⇨ 2/4 = 1/2

⇨ 50%

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31
Q

What is the fraction and decimal of:

75%

A

⇨ 3/4

⇨ 0.75

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32
Q

What is the decimal and percentage of:

1/5

A

⇨ 0.2

⇨ 20%

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33
Q

What is the fraction and percentage of:

0.4

A

⇨ 2/5

⇨ 40%

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34
Q

What is the fraction and decimal of:

60%

A

⇨ 3/5

⇨ & 0.6

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35
Q

What is the decimal and percentage of:

4/5

A

⇨ 0.8

⇨ 80%

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36
Q

What is the decimal and percentage of:

1/8

A

⇨ 0.125

⇨ 12.5%

37
Q

What is the fraction and percentage of:

0.25

A

⇨ 2/8 = 1/4

⇨ 25%

38
Q

What is the fraction and decimal of:

37.5%

A

⇨ 3/8

⇨ 0.375

39
Q

What is the decimal and percentage of:

4/8 = 1/2

A

⇨ 0.5

⇨ 50%

40
Q

What is the fraction and percentage of:

0.625

A

⇨ 5/8

⇨ 62.5%

41
Q

What is the fraction and decimal of:

75%

A

⇨ 6/8 = 3/4

⇨ 0.75

42
Q

What is the decimal and percentage of:

7/8

A

⇨ 0.875

⇨ 87.5

43
Q

What is the decimal and percentage of:

1/10

A

⇨ 0.1

⇨ 10%

44
Q

What is the fraction and percentage of:

0.2

A

⇨ 2/10 = 1/5

⇨ 20%

45
Q

What is the fraction and decimal of:

30%

A

⇨ 3/10

⇨ 0.3

46
Q

What is the decimal and percentage of:

4/10 = 2/5

A

⇨ 0.4

⇨ 40%

47
Q

What is the fraction and percentage of:

0.5

A

⇨ 5/10 = 1/2

⇨ 50%

48
Q

What is the fraction and decimal of:

60%

A

⇨ 6/10 = 3/5

⇨ 0.6

49
Q

What is the decimal and percentage of:

7/10

A

⇨ 0.7

⇨ 70%

50
Q

What is the fraction and percentage of:

0.8

A

⇨ 8/10 = 4/5

⇨ 80%

51
Q

What is the fraction and decimal of:

90%

A

⇨ 9/10

⇨ 0.9

52
Q

How to find the HCF?

A

Draw a factor tree and find the highest common number.

53
Q

How to find the LCM?

A

Write out or work out times tables and then find the lowest common number.

54
Q

4 schools sent students to a languages course.
One of the schools sent both French and German students.
The ratio of French to German students it sent was 1 : 3
The school sent 21 German students.
The other 3 schools sent the same number of students.
Work out the total number of students sent to the languages course

A

➀ 3 = 21…
➁ 21÷3=7
➂ 1 = 7
➃ 21+7=28x4=112

55
Q

Simplify the ratio 25 : 35

A

5:7 (divided by 5)

56
Q

Simplify the ratio 18 : 45

A

2:5 (divided by 9)

57
Q

Divide £700 in the ratio 5 : 3 : 2

A 
➀ 5+3+2=10
➁ 700÷10=70
➂ 70x5=£350
➃ 70x3=£210
➄ 70x2=£140
58
Q

Alex and Thomas share 30 sweets.
They divide them in the ratio 3:2.
How many sweets does Thomas have?

A

➀ 3+2=5
➁ 30÷5=6 (1 part)
➂ 6x2=12 sweets

59
Q

Ann is x years old
David is 3 years younger than Ann
Ken is twice as old as Ann
The total of their ages is 25

a) Write an expression for David’s age in terms of x.
b) Write an expression for Ken’s age in terms of x.
c) Form an equation in x and use it to work out Ann’s age.

A

a) x-3
b) 2x
c) Working out below:
x + x - 3 + 2x = 25
4x-3=25
+3 +3
4x=28
÷4 ÷4
x = 7

60
Q

Write down an expression for the cost, in pence, of y cakes at 40p each and 3 buns at 60p each.

A

➀ 40p + y = 40y
➁ 60p x 3 = 180
➂ Answer = 40y + 180

61
Q

Small posters cost 8p each
Large posters cost 12p each

Write down an expression for the cost in pence of x small poster and y large poster.

A

➀ 8x + 12y pence

62
Q

At a café a cup of coffee cost 75p

Write down an expression for the cost, in pence, of x cups of coffee.

A

➀ 75x pence

63
Q

a) Tim’s lucky number is 1 more than Meg’s lucky number
Write down an expression for Tim’s lucky number in terms of x.

b) Jeremy’s lucky number is 2 times bigger than Meg’s number.
Write down an expression for Jeremy’s lucky number in terms of x.

c) The flow diagram shows how Sam’s lucky number is connected to Meg’s lucky number

Meg’s lucky number –⇾ SUBTRACT 3 –⇾ MULTIPLY BY 2 –⇾ Sam’s lucky number

Write down an expression for Sam’s lucky number in terms of x.

A

a) x+1
b) 2x
c) Working out:
Meg’s number = 3 –⇾ subtract 3 = x - 3
2(x-3) = 2x-6
Answer: 2x-6

64
Q

Make w the subject of the formula

y = 3w - a

A 
y = 3w - a
  \+a                  +a
       y + a = 3w
 ÷3                   ÷3
           y+a/3 = w
65
Q

Make w the subject of the formula

s = w/a

A

s = w/a
multiply a multiply a
as = w

66
Q

Make t the subject of the formula

s = 3t + 5u

A 
s = 3t + 5u
-5u                      -5u
        s - 5u = 3t
 ÷3                      ÷3  
       s - 5u/3 = t
67
Q

Make y the subject of the formula

y³ = x

A

y³ = x
√y² √y²
y = √x

68
Q

Make y the subject of the formula

√y = g

A

√y = g
² ²
y = g²

69
Q

Make y the subject of the formula

πy = c

A

πy = c
÷π ÷π
y = c ÷ π or c/π

70
Q

Alternate angles are what & what shape do they form?

A

They are equal & they form a ‘z’ shape

71
Q

Corresponding angles are what & what shape do they form?

A

They are equal & they from a ‘f’ shape

72
Q

Interior or Allied angles do what & what letter do they form?

A

They add up to 180° & they form a ‘c’ shape

73
Q

What do arrows in angles in parallel lines indicate?

A

It indicates that they are parallel

74
Q

What is a transversal line?

A

A line that cuts the parallel lines

75
Q

Letters in angles in parallel lines are used to what?

A

Label all the angles

76
Q

Name the 4 triangles.

A

⇨ Equilateral Triangle
⇨ Isosceles Triangle
⇨ Scalene Triangle
⇨ Right-angle Triangle

77
Q

Finish the sentence:

Angles in a triangle add to ____.

A

180°

78
Q

Finish the sentence:

All angles and sides are equal in a ___________ ________.

A

Equilateral Triangle

79
Q

Finish the sentence:

2 sides have the same length & 2 angles have the same size in a _________ ________.

A

Isosceles Triangle

80
Q

Finish the sentence:

All sides are different lengths and all angles are different in a _______ ________.

A

Scalene Triangle

81
Q

Finish the sentence:

One 90° angle and the other 2 sum up to 90° in a _____ _____ ________.

A

Right angle Triangle

82
Q

The formula for the sum of interior angles is?

A

⇨ (n-2) x 180

⇨ n is the number of sides on the polygon.

83
Q

Interior + Exterior = ___°

A

180°

84
Q

Exterior angle add to ___°

A

360°

85
Q

Angles on a straight line add up to ___°

A

180°

86
Q

Vertically opposite angles are _____

A

Equal

87
Q

James has a spinner that has sections labelled 1 to 5.
He spins the spinner 10 times.
Here are his scores: 1 4 4 2 3 4 5 1 4 1

a) Find the mode.
b) Work out the mean.

A

a) 4

b) 1+4+4+2+3+4+5+1+4+1= 29 ÷ 10 = 2.9

88
Q

Simone records the number of minutes she spends on her mobile phone over
7 days.

8 5 13 6 24 19 10

Find the median

A

5, 6, 8, 10, 13, 19, 24

Median = 10

maths. (2 decks)

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