Read How to Pass Numerical Reasoning Online
Authors: Heidi Smith
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:
Ratio 1 | Ratio 2 | ||||
Paper clips | to | Pencil sharpeners | Pencil sharpeners | to | Staplers |
400 | to | 1 | 3 | to | 5 |
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.
Ratio 1 | Ratio 2 | ||||
Paper clips | to | Pencil sharpeners | Pencil sharpeners | to | Staplers |
400 | to | 1 | 3 | to | 5 |
1200 | to | 3 | 3 | to | 5 |
(400 × 3) | | (1 × 3) |
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.