A piece of wood is cut in the ratio 3 : 7.
What fraction of the whole is the longer piece?
7 / 10
100
A recipe needs 400g of flour to make 8 cakes. How much flour would be needed in order to make two dozen cakes?
1200g
100
A model car is a 1 / 40 scale model.
Express this as a ratio.
1 : 40
100
A ruler 30 cm long is broken into two parts in the ratio 8:7. How long are the two parts?
16 cm and 14 cm
100
A school can buy 200 textbooks with $18 each. If the price is cut in half, how many can they buy with the same amount?
400 textbooks
200
A piece of wood is cut in the ratio 3 : 7.
If the wood is 1.5 m long, how long is the shorter piece?
45 cm
200
To make 6 jam tarts, 120 g of jam is needed. How much jam is needed to make 10 tarts?
200g
200
A motorbike uses petrol and oil mixed in the ratio 13 : 2.
How much of each is there in a 30 litres of mixture?
26 l petrol and 4 l oil
200
Divide 90 minutes in the ratio 2:3.
36 to 54
200
Six people can paint a room in 8 hours.
How long would it take 12 people?
4 h
300
Divide 3 tonnes in the ratio 2 : 5 : 13.
300 : 750 : 1950
300
A recipe for two people requires 1/4 kg of rice to 150 g of meat.
How much meat would be needed for five people?
375 g
300
A motorbike uses petrol and oil mixed in the ratio 13 : 2.
How much petrol would be mixed with 500 ml of oil?
3250 ml of oil
300
The angles of a triangle are in the ratio 2 : 5 : 8. Find the size of each of the angles.
24, 60, 96 degrees
300
It takes 16 hours for three bricklayers to build a wall. Calculate how long it would take for eight bricklayers to build a similar wall?
6 h
400
A large swimming pool takes 36 hours to fill using three identical pumps.
How long would it take to fill using 8 identical pumps?
13.5 h
400
The scale of a map is 1 : 25 000.
Two villages are 8 cm apart on the map. How far apart are they in real life? Give your answer in kilometres.
2 km
400
A model car is a 1 / 40 scale model.
If the length of the real car is 5.5 m, what is the length of the model car?
13.75 cm
400
An aunt gives a brother and sister $2000 to be divided in the ratio of their ages. If the girl is 13 years old and the boy 12 years old, how much will each get?
Girl $1040, boy $960
400
A photocopying machine is capable of making 50 copies each minute.
If four identical copiers are used simultaneously how long would it take to make a total of 50 copies?
15 s
500
A large swimming pool takes 36 hours to fill using three identical pumps.
If the pool needs to be filled in 9 hours, how many pumps will be needed?
12 pumps
500
The scale of a map is 1 : 25 000.
The distance from a village to the edge of a lake is 12 km in real life. How far apart would they be in the map? Give your answer in centimetres.
48 cm
500
A recipe for two people requires 1/4 kg of rice to 150 g of meat.
How much rice would there be in 1 kg of the final dish?
625 g
500
The ratio of the angles of a quadrilateral is 2:3:3:4.
Calculate the size of the largest angle.
150 degrees
500
A photocopying machine is capable of making 50 copies each minute.
How many copiers would be needed to make 6000 copies in 15 minutes?