Crude Rate and Rates of Change: Fluency and Exam Drill - Worksheets, Questions and Revision

19 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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F06D Crude Rate and Rates of Change: Fluency and Exam Drill

EDEXCEL 1ST0 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write down the formula for the crude birth rate of a population.

(Total for Question 1 is 1 mark)

A town has a population of 25,000 and recorded 300 live births in a year. Work out the crude birth rate.

(Total for Question 2 is 1 mark)

A town has a population of 40,000 and recorded 320 deaths in a year. Work out the crude death rate.

(Total for Question 3 is 1 mark)

Write down one thing that the crude birth rate does NOT take into account about a population.

(Total for Question 4 is 1 mark)

A shop's sales were 500 pounds in one week and 550 pounds the following week. Work out the percentage rate of change.

(Total for Question 5 is 1 mark)

A company's profit fell from 8,000 pounds to 6,800 pounds. Work out the percentage decrease.

(Total for Question 6 is 1 mark)

An index uses a base year value of 100. Write down what an index number of 130 means compared with the base year.

(Total for Question 7 is 1 mark)

The crude death rate in a region is 7 per 1000. The region has a population of 50,000. Work out the expected number of deaths in a year.

(Total for Question 8 is 2 marks)

A supermarket's weekly revenue rose from 12,000 pounds to 13,800 pounds. Calculate the percentage increase.

(Total for Question 9 is 2 marks)

A charity's number of volunteers fell from 240 to 204. Calculate the percentage decrease.

(Total for Question 10 is 2 marks)

Using 2019 as a base year (index = 100), a company's average weekly output was 800 units. In 2024, average weekly output was 920 units. Calculate the output index number for 2024.

(Total for Question 11 is 2 marks)

A town's population grew by 8% from 2020 to 2024, when the population was 21,600. Work out the population in 2020.

(Total for Question 12 is 2 marks)

The crude birth rate in Northtown is 13 per 1000. Southtown has half the population of Northtown but the same crude birth rate. Northtown has a population of 42,000. Work out the number of births expected in Southtown in a year.

(Total for Question 13 is 2 marks)

Elmswood has a population of 8,000 and recorded 96 live births last year. Riverside has a population of 20,000 and recorded 180 live births in the same year.

(a)Calculate the crude birth rate for Elmswood.(1)

(b)Calculate the crude birth rate for Riverside.(1)

(c)Riverside recorded more live births than Elmswood (180 compared with 96), but has a lower crude birth rate. Give one reason why this can happen.(1)

(Total for Question 14 is 3 marks)

A bakery's weekly sales were 640 loaves in March and 704 loaves in April.

(a)Calculate the percentage rate of change in sales from March to April.(2)

(b)The bakery aims for at least an 8% increase in sales each month. State whether the bakery met this aim in April, giving a reason.(1)

(Total for Question 15 is 3 marks)

A company uses 2021 as the base year for its sales index (base year index = 100). In 2021, monthly sales were 15,000 pounds.

(a)In 2023, monthly sales were 18,000 pounds. Calculate the sales index number for 2023.(1)

(b)In 2024, the sales index (2021 = 100) was 90. State whether sales had increased or decreased since 2021, by what percentage, and calculate the actual monthly sales figure for 2024.(2)

(Total for Question 16 is 3 marks)

The national crude birth rate for the country of Wexland is 12 per 1000 population. Fairview Student Halls has a population of 4,500. Almost all residents at Fairview are university students aged 18 to 22.

(a)Use the national crude birth rate to estimate the number of births expected at Fairview Student Halls in a year.(2)

(b)Evaluate whether this estimate is likely to be realistic for Fairview Student Halls.(2)

(Total for Question 17 is 4 marks)

The table shows the population and number of deaths recorded in three villages last year.

Village	Population	Deaths
Ashby	15,000	165
Barton	20,000	140
Coombe	9,000	108

(a)Calculate the crude death rate for each village.(2)

(b)Write down which village has the highest crude death rate.(1)

(Total for Question 18 is 3 marks)

A newspaper claims: 'Kelmoor has a crude birth rate of 8 per 1000, and Aldby has a crude birth rate of 15 per 1000, so Aldby must have more babies born each year than Kelmoor.' Kelmoor has a population of 30,000,000. Aldby has a population of 1,500,000.

(a)Calculate the actual number of births in Kelmoor in a year.(2)

(b)Calculate the actual number of births in Aldby in a year.(2)

(c)Evaluate the newspaper's claim, using your answers to parts (a) and (b).(1)

(Total for Question 19 is 5 marks)

Mark scheme · F06D Crude Rate and Rates of Change: Fluency and Exam Drill

Question 1

B1 (number of live births / total population) x 1000, oe
Answer: Crude birth rate = (number of live births / total population) x 1000

Question 2

B1 12 (per 1000) cao
Answer: 12 per 1000

Question 3

B1 8 (per 1000) cao
Answer: 8 per 1000

Question 4

B1 the age structure (or gender structure) of the population, oe
Answer: The age (or gender) structure of the population.

Question 5

B1 10% increase cao
Answer: 10% increase

Question 6

B1 15% cao
Answer: 15% decrease

Question 7

B1 30% higher than the base year value, oe
Answer: 30% higher than the base year value.

Question 8

M1 (50000 / 1000) x 7, oe
A1 350 cao
Answer: 350 deaths

Question 9

M1 (13800 - 12000) / 12000, oe
A1 15% cao
Answer: 15% increase

Question 10

M1 (240 - 204) / 240, oe
A1 15% cao
Answer: 15% decrease

Question 11

M1 (920 / 800) x 100, oe
A1 115 cao
Answer: 115

Question 12

M1 21600 / 1.08, oe
A1 20000 cao
Answer: 20,000

Question 13

M1 Southtown population = 42000 / 2 = 21000, then (21000 / 1000) x 13, oe
A1 273 cao
Answer: 273 births

Question 14

(a) B1 12 (per 1000) cao
(a) Answer: 12 per 1000
(b) B1 9 (per 1000) cao
(b) Answer: 9 per 1000
(c) B1 Riverside's population is much larger, so its births are shared across more people, giving a lower rate despite the higher raw count, oe
(c) Answer: Riverside has a much larger population, so even though it has more births overall, its births per 1000 people are lower than Elmswood's.

Question 15

(a) M1 (704 - 640) / 640, oe
(a) A1 10% increase cao
(a) Answer: 10% increase
(b) B1 Yes, because 10% is greater than the 8% target, oe
(b) Answer: Yes, because the actual increase (10%) was greater than the 8% target.

Question 16

(a) B1 120 cao
(a) Answer: 120
(b) M1 15000 x 0.9, oe
(b) A1 decreased by 10%, giving 13500 pounds, cao
(b) Answer: Decreased by 10%; 2024 monthly sales = 13,500 pounds

Question 17

(a) M1 (4500 / 1000) x 12, oe
(a) A1 54 cao
(a) Answer: 54 births
(b) B1 identifies that the estimate is not likely to be realistic/reliable
(b) B1 explains that residents are almost all young students, unlikely to reflect the national age structure, so the true number of births is likely to be far lower than 54, oe
(b) Answer: Not realistic: Fairview's residents are almost all young students, so the true number of births is likely to be much lower than the estimate of 54, since the national rate assumes a typical age structure.

Question 18

(a) M1 correct method shown (deaths / population x 1000) for at least one village
(a) A1 all three correct: Ashby 11, Barton 7, Coombe 12
(a) Answer: Ashby 11 per 1000; Barton 7 per 1000; Coombe 12 per 1000
(b) B1 Coombe cao (ft their rates from part (a))
(b) Answer: Coombe

Question 19

(a) M1 (30000000 / 1000) x 8, oe
(a) A1 240000 cao
(a) Answer: 240,000 births
(b) M1 (1500000 / 1000) x 15, oe
(b) A1 22500 cao
(b) Answer: 22,500 births
(c) B1 identifies the claim as false, since Kelmoor (240,000 births) actually has far more births than Aldby (22,500), because Kelmoor's much larger population outweighs its lower rate, oe
(c) Answer: The claim is false: Kelmoor actually has far more births (240,000) than Aldby (22,500) each year, because Kelmoor's population is so much larger than Aldby's.

Question 19

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Crude Rate and Rates of Change: Fluency and Exam Drill - Worksheets, Questions and Revision

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