Place Value with Real Data: Town Populations

Year 6 MathsPlace Value6 pages

About this worksheet

Eight fictional towns and cities drive this Year 6 place value sheet. Their populations run from 168,450 to 9,450,800, so no figure can go out of date. Pupils order all eight, write Crowhurst and Millford-on-Sea in words, then fill a rounding table to the nearest 100,000 and 1,000,000. Part 3 has five problems: a difference, a combined total against a 1,500,000 target, a four-times claim, projected growth and a choice between two headlines. Worked answers with every step fill the last two pages. It follows the England National Curriculum for Year 6 number.

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Place Value with Real Data: Town Populations: Place Value - page 1

Place Value with Real Data: Town Populations: Place Value - page 2

Place Value with Real Data: Town Populations: Place Value - page 3

Place Value with Real Data: Town Populations: Place Value - page 4

Place Value with Real Data: Town Populations: Place Value - page 5

Place Value with Real Data: Town Populations: Place Value - page 6

Curriculum objectives covered

Number - number and place value

“Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit”

Questions 1 and 2 order all eight populations and write two of them in words.

Number - number and place value

“Round any whole number to a required degree of accuracy”

Question 3 rounds every population two ways, and question 9 weighs 168,450 rounded to the nearest 100,000 against the nearest 10,000.

Number - number and place value

“Solve number and practical problems that involve all of the above”

Questions 4 to 9 set the populations in planning problems.

Number - addition, subtraction, multiplication and division

“Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why”

Questions 6 and 8 need two or three steps each, such as adding three populations and then comparing the total with 1,500,000.

What's inside this worksheet

Regional Census Data Table

Eight towns and populations, including Dunmore City at 6,784,120 and Northwick at 842,950.

Part 1: Reading, Writing and Ordering Populations

Pupils list the eight towns in ascending order. Then they write 1,095,300 and 6,712,085 in words and give the value of the 9 and the 1.

Part 2: Rounding for Regional Budgets

A table to round every population to the nearest 100,000 and 1,000,000, after a tip on which digit to check. Question 4 asks for the smallest and greatest multiple of 1,000 that rounds to 600,000.

Part 3: Comparing Towns and Headline Decisions

Five problems with working boxes. Pupils find the gap between Dunmore City and Millford-on-Sea, test a councillor's claim against 4 × 2,340,910, and judge whether 'Library for 200,000 Residents' or 'Library for 170,000 Residents' suits Loxley Green.

Answers

Worked steps for each problem and the completed rounding table.

How teachers use it

Ordering cards

Cut the census table into eight cards and let pairs order them on the desk before question 1. Crowhurst and Northwick sit either side of 1,000,000, and that is where most swaps happen.

Headline vote

Run question 9 as a class vote. Then ask what a headline for Kingsbridge Metro should say, and why 9,500,000 might be fine there.

Rounding to nothing

Ashbourne Vale and Loxley Green both round to 0 to the nearest million. Show that to the class as a quick case for matching the degree of accuracy to the number.

More Year 6 Maths worksheets

Four Operations Fractions, Decimals and Percentages Ratio and Proportion Algebra Measurement Geometry Statistics

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