How to Pass Numerical Reasoning (40 page)

9/5 = 4 hours and 30 minutes (270 minutes).

The ratio time of first half to total race = 4 : 9.

Charlotte’s first half time is:

Ignore the information about distance. It is not relevant to the question.

Q15
Answer
= 240 : 1

You are given two ‘part to part’ ratios and asked to determine a relationship between two different parts. Set up the two part to part ratios:

To compare the two ratios you need to find a common term for both ratios. By multiplying each part of ratio 1 by a multiple of 3 you create a common term in both ratios for the sharpeners.

Now you can compare Paper clips to Staplers: 1200 to 5.

In its lowest terms, the ratio is 240 to 1.

Proportions practice drill 1

Q1
Yes. 3 × 21 = 7 × 9

Q2

Q3
Yes. 2 × 10 = 5 × 4

Q4
Yes. 12 × 23 = 92 × 3

Q5

Q6
Yes. 36 × 9 = 54 × 6

Q7

Q8

Q9
Yes. 7 × 24 = 12 × 14

Q10

Proportions practice drill 2

Q1
x
= 2

Q2
x
= 486

Q3
x
= 12

Q4
x
= 1

Q5
x
= 10

Q6
x
= 5

Q7
x
= 49

Q8
x
= 27

Q9
x
= 78

Q10
x
= 21,812

Proportions practice questions

Q1
6 teachers

Q2
45 students

Q3
720 pixels

Q4
$123.75

Q5
x
= 6

Q6
£2.25

Q7

Q8
4
x
: 1

Q9
20 carers

Q10
40 mountain bikes and 800 road bikes

Proportions practice questions explanations

Q1
Answer
= 6 teachers

Set up a proportion and solve for the missing term:

24 children ×
t
teachers = 4 teachers × 36 children

24
t
= 144

t
= 6 teachers

Q2
Answer
= 45 students study Chinese

You are given a ‘part to part’ ratio: there are 5 studying Chinese for every 4 studying Russia. Set up a proportion and solve for the number of students studying Chinese.