1. B. The scale of a map is 1cm : 50 km.
Exit Questions
A. The scale of a map is 1 : The distance between Leeds and London on this map is 6.5 cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.
B. The scale of a map is 1cm : 50 km.
If the actual distance from A to B in real life is 200km. How far away are A and B on the map?

2. Pg 100 Ex 5d 7,9
7. The map ratio of a map is 1 : The distance between A and B on the map is 6cm. What is the true distance between A and B MAP : REAL 1 : : ? The true distance between A and B is cm or 3km
x 6
x 6

3. Pg 100 Ex 5d 7,9
9. The map ratio of a map is 1 : Find the actual length represented by 2cm MAP : REAL 1 : : ? The actual length is cm or 200m
x 2
x 2
20 000

4. Pg 101 Ex 5d 10,11
10. The map ratio of a map is 1 : The distance between two towns is 20km. What is this in centimetres? Find the distance on the map between the points representing the towns MAP : REAL 1 : ? : 20 km 20 km = cm The distance on the map is 10 cm
x 10
x 10 10

5. Pg 101 Ex 5d 10,11
11. The map ratio of a map is 1 : Find the distance on the map which represents an actual distance of 36km MAP : REAL 1 : ? : 36 km 36 km = The distance on the map is 1.8 cm
x 1.8
x 1.8
1.8

6. Warm-up Fraction of a Quantity 𝟒 𝟓 𝒐𝒇 𝟑𝟓 𝟑 𝟒 𝒐𝒇 𝟏𝟔 12 28 𝟐 𝟑 𝒐𝒇 𝟏𝟓 10
𝟒 𝟓 𝒐𝒇 𝟑𝟓
𝟑 𝟒 𝒐𝒇 𝟏𝟔 12 28
𝟐 𝟑 𝒐𝒇 𝟏𝟓 10
𝟕 𝟏𝟎 𝒐𝒇 𝟒𝟎
Fraction of a Quantity 28

7. L.O. To be able to divide a quantity in a given ratio
By the end of the lesson, we will be able to:
understand when a question is asking to divide a quantity in a given ratio
divide a quantity in a given ratio

8. Partner up with the person behind you!
You managed to steal €200
You and your partner robbed a bank
But one of you did more work than the other, so to be fair you must share the money in the ratio
1 : 3

9. Divide €200 in the ratio 1 : 3 In all 1 + 3 = 4 parts
𝟏 𝟒 𝒐𝒇 €𝟐𝟎𝟎= 𝟏 𝟒 × €𝟐𝟎𝟎=€𝟓𝟎
𝟑 𝟒 𝒐𝒇 €𝟐𝟎𝟎= 𝟑 𝟒 × €𝟐𝟎𝟎=€𝟏𝟓𝟎
= €𝟐𝟎𝟎 50 50 50 50

10. Example: Johnny shares a chocolate bar that has 24 pieces with Tanya and Joe.
They share the bar in the ratio 3 : 1 : 2
Work out each persons share.
Johnny : Tanya : Joe
3 : : 2
THERE ARE = 6 SHARES ALTOGETHER
𝐽𝑜ℎ𝑛𝑛𝑦 → 𝑜𝑓 24=12
𝑇𝑎𝑛𝑦𝑎→ 𝑜𝑓 24=4
𝐽𝑜𝑒→ 2 6 𝑜𝑓 24=8

11. Method: Divide a QUANTITY in a RATIO
Add up the total number of parts of the ratio
Find the fraction of the quantity of separate parts all over this total
Make sure that the sub-quantities found in step 2 add up to the whole quantity
Make sure to answer the question properly

12. 1a) Share €250 in the ratio 1 : 4 Batman : Robin 1 : 4
1 : 4
1 + 4 = 5 parts in all
Batman: 𝑜𝑓 €250 = €50
Robin: 𝑜𝑓 €250 = €200

13. 1b) Share €250 in the ratio 7 : 3 Spongebob: Patrick 7 : 3
7 : 3
7 + 3 = 10 parts in all
Spongebob : 𝑜𝑓 €250 = €175
Patrick : 𝑜𝑓 €250 = €75

14. 1c) Share €250 in the ratio 9 : 12 : 4
Simon : Alvin : Theodore
: : 4
= 25 parts in all
Simon: 𝑜𝑓 €250 = €90
Alvin: 𝑜𝑓 €250 = €120
Theodore: 𝑜𝑓 €250 = €40

15. 2. Share €80 in the ratio 3 : 2 Tom : Jerry 3 : 2
3 : 2
3 + 2 = 5 parts in all
Tom : 𝑜𝑓 €80 = €48
Jerry : 𝑜𝑓 €80 = €32

16. 3. 3. The angles in a triangle are in the ratio 6 : 5 : 7
L1 : L2 : L3
6 : 5 : 7
= 18 parts in all
Quantity?
180°
L1 : 𝑜𝑓 180° = 60°
L2 : 𝑜𝑓 180° = 50°
L3 : 𝑜𝑓 180° = 70°

17. Dividing in a given quantity worksheet

18. Tim, Shula and Carol share the running costs of the car in the ratio 1 : 2 : 3. Last year it cost €1860 to run the car. How much did Carol pay?
Tim : Shula : Carol 1 : 2 : 3 Total parts: = 6 Carol has 𝟑 𝟔 𝒐𝒇 €𝟏𝟖𝟔𝟎=€𝟗𝟑𝟎

19. Paul is making grey paint
Paul is making grey paint. He mixes black and white paint in the ratio 2 : 3. He makes 35 litres of grey paint How much white paint does he use?
Black : White 2 : 3 Total parts: 2+3 = 5 He must use 𝟑 𝟓 𝒐𝒇 𝟑𝟓=𝟐𝟏𝒍 of white paint

20. The ratio of adults to children in the sports club is 5 : 2
The ratio of adults to children in the sports club is 5 : 2. There are 560 members in the club. How many children are there?
Adults : Children 5 : 2 Total parts: 5+2 = 7 There are 𝟐 𝟕 𝒐𝒇 𝟓𝟔𝟎=𝟏𝟔𝟎 children

21. Archie and Charlie share 45 Thomas the tank engine toys in the ratio 1:4, how many toys do they each get?
Archie : Charlie 1 : 4 Total parts: 1+4 = 5 Archie gets 𝟏 𝟓 𝒐𝒇 𝟒𝟓=𝟗 toys Charlie gets 𝟒 𝟓 𝒐𝒇 𝟒𝟓=𝟑𝟔 toys

22. Jon : Adel 2 : 7 Total parts: 2+7 = 9 Adel gets 𝟕 𝟗 𝒐𝒇 𝟖𝟏=𝟔𝟑 socks
Jon and Adel share 81 socks in the ratio 2 : 7, how many socks does Adel get?
Jon : Adel 2 : 7 Total parts: 2+7 = 9 Adel gets 𝟕 𝟗 𝒐𝒇 𝟖𝟏=𝟔𝟑 socks

23. Mike : Dave : Henry 1 : 2 : 3 Total parts: 1+2+3 = 6
Mike, Dave and Henry share 72 little pieces of blue tack in the ratio 1 : 2 : 3, how many do they each get?
Mike : Dave : Henry
1 : 2 : 3
Total parts: = 6
Mike gets 𝟏 𝟔 𝒐𝒇 𝟕𝟐=𝟏𝟐 pieces
Dave gets 𝟐 𝟔 𝒐𝒇 𝟕𝟐=𝟐𝟒 pieces
Henry gets 𝟑 𝟔 𝒐𝒇 𝟕𝟐=𝟑𝟔 pieces

24. DO NOT MIX UP THESE OBJECTIVES
To be able to find an unknown quantity in a given ratio
To be able to share a quantity in a given ratio