topic badge

3.035 Heart rates and blood pressure

Worksheet
Heart rates
1

Tina counts 26 heart beats over a 20 second interval.

a

How many lots of 20 seconds are in 1 minute?

b

Calculate Tina's heart rate in beats per minute (\text{bpm}).

2

Valerie counts 12 heart beats over a 10 second interval. What is her heart rate in beats per minute (\text{bpm})?

3

Calculate the heart rate in beats per minute for the following recorded pulses:

a
A pulse was recorded beating at 38 times per 30 seconds.
b
A pulse was recorded beating at 17 times per 15 seconds.
c
A pulse was recorded beating at 11 times per 10 seconds.
4

Michael is attending to a patient on the way to the emergency department. In the ambulance, he takes a quick measurement of the patient's heart rate, and finds it to be 30 beats over 15 seconds. An hour later, in the hospital he takes a more detailed measurement and finds the patient's heart rate to be 189 beats over 90 seconds.

a

Calculate the heart rate of the first recording.

b

Calculate the heart rate of the second recording.

c

State whether the patient's heart rate increased or decreased.

5

Answer the following questions based on the graph:

a

According to the graph, the resting (before exercise) heart rate of a fit person lies between which two values?

b

What is the peak heart rate of an unfit person?

c

Before exercising, John measures his pulse and counts 26 beats in a 20 second time period. According the graph, is John considered to be a fit or unfit person?

6

The target heart-rate range during exercise is calculated using the age and resting heart rate of a person, as shown in the following equations:

Note: HR stands for Heart Rate.

  • \text{Minimum Exercise HR} = (220 - \text{ Age - Resting HR}) \times 0.50 + \text{ Resting HR}
  • \text{Maximum Exercise HR} = (220 - \text{ Age - Resting HR}) \times 0.85 + \text{ Resting HR}

For a person who is 15 years old and has a resting heart rate of 51 beats per minute:

a

Find their minimum exercise heart rate, to the nearest whole number.

b

Find their maximum exercise heart rate, to the nearest whole number.

c

Convert the minimum exercise heart rate into a rate given in beats per 10 seconds.

d

Convert the maximum exercise heart rate into a rate given in beats per 10 seconds.

7

Consider the given graph which shows the heart rate of a person before, during, and after an exercise session in a 51 minute timeframe.

a

Describe what is happening to the heart rate between 0 \text{ - } 18 minutes.

b

What was the peak heart rate?

c

The desired heart rate range during exercise for this person is between 120 and 210 \text{ bpm}. For how many minutes was this athlete in range?

d

The exercise session was completed after 42 minutes. How long was the cool down period, the end of which the pulse returned to 60 \text{ bpm}?

6
12
18
24
30
36
42
48
\text{Time (mins)}
20
40
60
80
100
120
140
160
180
200
220
\text{bpm}
Blood pressure
8

Using the blood pressure chart provided, classify the following blood pressure readings as low blood pressure, ideal blood pressure, pre-high blood pressure, or high-blood pressure:

a

\dfrac{77}{65}

b

\dfrac{147}{78}

c

\dfrac{81}{49}

d

\dfrac{123}{79}

e

\dfrac{109}{45}

9

Consider the graph showing the normal blood pressure ranges for different aged people. Answer the following questions based on the graph:

a
i

What is the normal diastolic blood pressure range for the age group 30 to 34?

ii

What is the mean systolic blood pressure for this same age group?

b
i

What is the normal diastolic blood pressure range for the age group 55 to 59?

ii

What is the mean systolic blood pressure for this same age group?

c

Based on the graph, state whether the following statements are true or false:

i

At any age, the diastolic blood pressure is always lower than the systolic blood pressure.

ii

A 25 year old person will always have lower blood pressure than a 45 year old person.

iii

The mean diastolic blood pressure increases with age for every age group.

iv

The diastolic blood pressure range is larger in older age groups.

10

The blood pressure of a person involved in an accident was monitored from 11 o'clock in the morning, immediately after the accident occurred.

The following graph shows the systolic (higher value) and diastolic (lower value) blood pressures recorded every 5 minutes, connected by a line. Use the graph to answer the following questions:

a

Describe the trend of the systolic and diastolic values over time.

b

The normal blood pressure for this person is \dfrac{120}{80}. During the given time period does the person's blood pressure return to the normal range?

1100
1110
1120
1130
\text{Time}
50
60
70
80
90
100
110
120
\text{Blood Pressure (mm Hg)}
Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

ACMEM015

convert units of rates occurring in practical situations to solve problems

ACMEM016

use rates to make comparisons; for example, using unit prices to compare best buys, comparing heart rates after exercise

What is Mathspace

About Mathspace