Ratio, Rate and Scale

If a cake recipe uses 150 grams of one ingredient, which requires a ratio of 5 : 7 with another ingredient, how much of the second ingredient is needed?

• 233.1 g

• 230 g

• 210g

• 30g

In a class of 27 students, the ratio of men to women is 4 ∶ 5. How many women are in the class?

• 15 students

• 12 students

• 9 students

• 3 students

Ben, Luke, and Jess save their money in the ratio 1: 3: 6. If Luke saves £20 a week, how much do they save in total?

• £6.67

• £20

• £66.67

• £22.3

Ben, Luke, and Jess save their money in the ratio 1: 3: 6. If Luke saves £20 a week, how much does Jess save?

• £6.67

• £40

• £66.67

• £43.7

In a class, 125 candies are distributed in the ratio 13 : 7 : 5 among the Red, Orange, and Blue groups. How many candies does the orange group receive?

• 65 candies

• 35 candies

• 67 candies

• 25 candies

In a prize fund of £500, which is divided among 3 people. Daisy receives £150, Carol receives £250, and Joe receives £100. What is the ratio of money each person receives?

• 3 : 4 : 2

• 3 : 5 : 2

• 3 : 4 : 4

• 5 : 4 : 2

A scaled drawing of a rectangle uses a scale of 1 : 50. If the actual width of the rectangle is 4 m, what is its width on the scaled drawing in centimeters?

• 8cm

• 6cm

• 4cm

• 2cm

The scale on the road map is 1 : 100,000. If the distance between two cities on the map is 7.5 cm, what is the actual distance in kilometers?

• 7km

• 6km

• 4.5km

• 7.5km

Emma walks at a speed of 7 km/h. How far can she walk in 3 1/2 hours at the same speed?

• 27 km

• 26.5 km

• 24.5 km

• 17.5 km

A train travels 360 km in 2 and a half hours, what is its average speed in km/h?

• 227 km/h

• 144 km/h

• 144.5 km/h

• 170.5 km/h