10A Core skills 1. Divide each of the following quantities in the given ratio. (i) €70 in the ratio 7 : 3 (ii) 66 m in the ratio 3 : 5
2. Eight pens cost €24. Find the cost of six pens.
3. Maria drew a scale drawing of a house. The scale of the drawing was 1 cm : 3 m. The kitchen is 3 cm in the drawing. How long is the actual kitchen?
4. Angela measured a university and made a scale drawing. The scale of the drawing was 1 cm : 2 m. If the actual length of a building at the university is 62 m, how long is the building in the drawing?
5. Ozzie drew a scale drawing of a swimming pool. The diving board, which is 12 m long in real life, is 3 cm long in the drawing. What is the scale of the drawing?
6. Kevin measured a hotel and made a scale drawing. In real life, a room in the hotel is 20 m wide. It is 4 cm wide in the drawing. What scale did Kevin use?
7. Diane drew a scale drawing of her primary school. In real life, the school yard is 63 m wide. It is 9 cm wide in the drawing. What scale did Diane use for the drawing?
8. A particular map shows a scale of 1 : 5 000. What is the actual distance between town A and town B if the distance between them on the map is 8 cm?
9. The table shows the ingredients needed to make 36 mince pies. Ingredient
Plain fl our Lard
Butter Mincemeat
Amount for 36 pies 330 g 75 g 75 g
720 g Calculate the amounts needed to make 48 mince pies.
(iii) 144 kg in the ratio 1 : 3 (iv) 78 hrs in the ratio 5 : 1
(v) 240 cm in the ratio 13 : 2 (vi) 225 cents in the ratio 7 : 2
Section A Introducing concepts and building skills