Ava and James shared £150 in the ratio of 3:2. How much did each get?

• 90 : 60

• 30 : 20

• 60 : 40

• 100 : 50

Answer explanation

Ava and James share £150 in the ratio 3:2, which means for every 5 parts (3+2), Ava gets 3 parts and James gets 2 parts. Ava's share is (3/5) * 150 = £90, and James's share is (2/5) * 150 = £60. Thus, they get 90 : 60.

In a school, the ratio of the number of students with blonde hair to the number with brown hair is 4:5

What fraction of the students have blonde hair

Mathematical Equivalence

ON

In school, the ratio of the number of students with blond hair to the number of students with brown hair is 4:5.

If there are 450 students in the school, how many of them have brown hair?

Mathematical Equivalence

ON

Steve receives £200 each month from his parents as an allowance. 20% of this amount is spent on his football magazine subscription, and the rest he spends on football stickers, sweets, and fizzy drinks in the ratio of 5:2:1. How much does Steve spend on football stickers?

Mathematical Equivalence

ON

If 200 grams of one ingredient is used in a recipe, which calls for a ratio of 4:7 with a second ingredient, how much of the second ingredient is needed?

• 203

• 280

• 350

• 1400

Answer explanation

The ratio of the ingredients is 4:7. If 200 grams of the first ingredient (4 parts) is used, then each part is 50 grams. The second ingredient (7 parts) would be 7 * 50 = 350 grams.

In a class of 42 students, the ratio of male : female is 2:4. How many females are there?

• 14

• 28

• 40

• 42

Answer explanation

The ratio of male to female is 2:4, which simplifies to 1:2. For 42 students, there are 2 parts male and 4 parts female, totaling 6 parts. Each part represents 7 students (42/6). Thus, females = 4 parts x 7 = 28.

There were 200 medals bought for a sports celebration. The ratio of winning medals to participation medals is 1:4.

How many of each of the winning and participation medals are there?

Mathematical Equivalence

OFF

Terry, Alisha, and Ella run every week. In total, they average 176 km a week.

If Alisha runs twice as far as Terry and Ella runs one-third of Alisha's, how far does each run?

Answer explanation

Let Terry run x km. Then Alisha runs 2x km, and Ella runs (2x)/3 km. The equation is x + 2x + (2x)/3 = 176. Solving gives x = 42, so Terry runs 42 km, Alisha 84 km, and Ella 28 km.

A construction company needs workers for a job. The ratio of general labour to management is 8:1.

The budget for each general labourer is £2,500 and £8,200 for each management employee. There are 32 general labourers employed. How much is spent on all the employees for the job?

• 110,000

• 112,800

• 115,200

• 109,450

There is £80 in a pot which is shared out amongst 3 people.

Anna gets £20, Mark gets £35 and Ben gets £25.

What ratio of money does each person receive in its simplest form?

Answer explanation

The amounts received are £20, £35, and £25. The ratio of money each person receives is 20:35:25. Simplifying this gives 4:7:5, which represents the share of each person.