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Maths Year Ten COPY > Ratio > Flashcards

Flashcards in Ratio Deck (22)
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1

Share £50 in the ratio 3:2

(I suggest using a piece of paper and writing this down, but you're lazy so you'll just do it in your head anyway)

3 + 2 = 5
£50 / 5 = 10
Each person is worth £10
£30:£20

2

What are ratios used to do?

Compare amounts

3

When is something in direct proportion?

If quantities increase at the same rate then we say they are in Direct Proportion to each other

4

If 9 pens cost 63p, how much do 3 pens cost?(ratio, direct proportion)

9 pens : 63p
Divided by 3
1 pen = 63/9 = 7p
Times 3
3 pens : 21p

5

When is something in inverse proportion?

If one quantity increases at the same rate as another decreases we say they are in inverse proportion to each other

6

1 man takes 6 days to paint a house. How long would it take 3 men to paint the house? (Ratio, inverse proportion)

1:6
Times 3 | divided by 3
3:2

7

In ratio what do the units have to be?

The same

8

In simple interest, if I have £10 one year and it increases due to simple interest, why is my interest calculated from in the next year?

The original £10

9

In compound interest, if I have £10 one year and it increases due to simple interest, why is my interest calculated from in the next year?

Total money in account (£10+gained)

10

1 mile = ?meters = ?km

1 mile = 1600meters = 1.6km

11

1km = ? Miles

1km = 0.62 miles

12

1 mm = ?cm = ?meters

1mm = 0.1cm = 0.001meters

13

1000mm^3 = ?cm^3 = ?m^3

1000mm^3 = 1cm^3 = 0.000001meters^3

14

1mm^3 = ? = ?meters ^3

1mm^3 = 0.001cm = 0.000000001m^3

15

1 gallon = ?litres

1 gallon = 4.55litres

16

1litre = ? Gallon = 1,000ml

1 litre = 0.22Gallons = 1,000ml

17

1 kg = ?lbs

1 kg = 2.2lbs

18

1lbs = ?kg

1lbs = 0.45kg

19

What does a direct proportion graph look like?

Top left to top right positive gradient

20

What are the five steps to work out the formula connecting y and x when:

Y is directly proportional to x
X = 30 Y = 45

Y {proportional} x
45 {proportional} 30
45 = k x 30
45/30 = k
K = 1.5

21

Y is directly proportional to x

K = 1.5
Find y when X = 40

K = 1.5 X
Y = 1.5 x 40
Y = 60

22

In direct proportion, what does 'K' represent?

The Constant