Modual 10 Flashcards

1
Q

How can proportion’s be written?

A

as a fraction: a c
- = -
b d

as a colon- a:b = c:d

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2
Q

a:b = c:d can also be expressed in multiplying. How would this be written?

A

a x d = b x c

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3
Q

3/5 can also be written as?

A

12/35

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4
Q

What is cross product?

A

It’s like cross cancel

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5
Q

write 20/25 = 4/5 as a cross product

A

20 x 5 = 25 x 4

100 = 100

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6
Q

How do you work out the missing term in proportion? e.g. 20/59 = 30/x

A

STEP 1: write the proportion
STEP 2: cross product e.g. 20 X x = 50 X 30
STEP 3: divide both sides e.g. divide by 20 = x = 75

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7
Q

What is a conversion factor? e.g. what is the CF of 2.55 and £1 = $1.5

A

the most logical number

e. g. CF = 60 minutes (how many minutes in an hour)
e. g. CF = $1.5 (exchange rate)

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8
Q

Convert 2.55 hours into minutes

A

CF =

  1. 55hours x 60 =153 min
  2. 55hours / 60 = 0.042 min

= 153 minutes

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9
Q

What do you have to do in a conversion factor question?

A

you have to / and x the original number by the conversion factor and pick the most logical answear

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10
Q

Metric Units: length

A

mm, cm, m, km

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11
Q

Metric Units: area

A

mm{squared}, cm{squared}, m{squared}, km{squared}

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12
Q

Metric Units: volume

A

mm{cubed}, cm{cubed}, m{cubed}, litres, ml

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13
Q

Metric Units: weight

A

g, kg, tonnes

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14
Q

Metric Units: speed

A

km/h, m/s

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15
Q

Imperial Units: length

A

inches, feet, yards, miles

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16
Q

Imperial Units: area

A

square inches, square feet, square yard, square mile

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17
Q

Imperial Units: v olume

A

cubic inches, cubic feet, gallons, pints

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18
Q

Imperial Units: weight

A

ounces, pounds, stone, tones

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19
Q

Imperial Units: sped

A

mph

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20
Q

1cm =…mm

A

= 10mm

21
Q

1km=…cm

A

= 100cm

22
Q

1km=….m

A

= 1000m

23
Q

1kg=….g

A

= 1000g

24
Q

1 tonne=….kg

A

= 1000kg

25
Q

1 litre=…..cm{cubed}

A

= 1000cm{cubed}

26
Q

1cm{cubed}=..ml

A

= 1ml

27
Q

1 foot=…inches

A

= 12 inches

28
Q

1 yard=.. foot

A

= 3 foot

29
Q

1 gallon=… pints

A

= 8 pints

30
Q

1 stone=… pounds

A

= 14 pounds

31
Q

1 pounds =… ounches

A

= 16 ounches

32
Q

Speed x time =

A

distance

33
Q

distance / speed =

A

time

34
Q

distance / time =

A

speed

35
Q

density x volume =

A

mass

36
Q

mass / density =

A

volume

37
Q

mass / volume =

A

density

38
Q

What does direct proportion mean?

A

both increase togther

39
Q

Direct proportion: In a table of x and y, the top number and the bottom number do what?

A

get x by the same number

e.g. if you x the top number by 3 you have to x the number underneath that number by 3

40
Q

What is the formula for Direct Proportion?

A

y = kx

41
Q

What does inverse proportion mean?

A

If one increase, the other will decrease

42
Q

Inverse proportion: in a table of x and y, what does the top number and the bottom number do?

A

The top number x and the bottom number /

e.g. if you x the top number by 2, the number underneath, you would / by 2

43
Q

What is the formula for Inverse Proportion?

A

y = k/x

44
Q

What does proportion mean?

A

two ratios that are equal

45
Q

A pack of 6 balls cost £45. How much would 4 cost?

A

£45 / 6 = £7.5

£7.5 x 4 = £30

46
Q

What can map scales tell you?

A

how many units of land are equal to 1 unit on the map

47
Q

What does the scale of 1: 100 00 mean?

A

that the real distance is 100 00 times the length of 1 unit on the map

48
Q

Write the scale of 1cm to 1m in ratio form

A

1cm : 1m
1cm : 100m
1 : 100