Short Division with Remainders in Context

Year 6 MathsFour Operations4 pages

About this worksheet

A Year 6 residential trip to the Peak District runs through these eight short division word problems. Pupils book minibuses for 175 people, pack 1,150 flapjacks into boxes of 8 and cut a 270 metre rope between 8 teams. In each one they decide what the remainder means: round up, round down or carry on into decimals. Three pages of questions have a working box each. A fourth page gives the answers with the division and the reason for each choice, in line with the England National Curriculum for Year 6 division.

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Short Division with Remainders in Context: Four Operations - page 1

Short Division with Remainders in Context: Four Operations - page 2

Short Division with Remainders in Context: Four Operations - page 3

Short Division with Remainders in Context: Four Operations - page 4

Curriculum objectives covered

Number - addition, subtraction, multiplication and division

“Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context”

Questions 1, 2, 4, 5 and 7 divide by 12, 8, 11 and 6, and each answer depends on what the remainder means.

Number - addition, subtraction, multiplication and division

“Solve problems involving addition, subtraction, multiplication and division”

Questions 4, 5 and 8 add a subtraction or comparison step before or after the division.

Number - fractions (including decimals and percentages)

“Use written division methods in cases where the answer has up to 2 decimal places”

Question 3 gives 33.75 metres and question 8 gives £47.28.

What's inside this worksheet

Part 1: Packing and Transport

Pupils round 175 ÷ 12 up to 15 minibuses, round 1,150 ÷ 8 down to 143 full boxes and give each team 33.75 metres of rope.

Part 2: At the Adventure Centre

Arrows shared into quivers of 11 after 32 are removed, two groups of 146 pupils at tables of 8 and of 6, and a problem that works backwards from 24 full crates of 15 jackets and 11 spare.

Part 3: Reasoning and Multi-Step Challenges

Pupils explain why Leo is wrong to round 158 ÷ 12 down to 13 zip-line slots. Then they check whether £48 each covers a £1,440 bill once the school pays £258.

Answers

Each answer shows its working and the remainder decision, for example 1,182 ÷ 25 = 47 r 7, which is £47.28.

How teachers use it

Sort before solving

Ask pupils to sort the eight questions into round up, round down and exact answer before they divide anything. Then compare the sort with their answers.

Leo's mistake

Take question 7 as a whole-class discussion. Rounding down because the remainder is less than half is a common slip, and two pupils left in the queue makes the point quickly.

Before your own residential

Swap in the real numbers for your class trip on the minibus and table questions. Pupils check their working harder when the seat is theirs.

More Year 6 Maths worksheets

Place Value Fractions, Decimals and Percentages Ratio and Proportion Algebra Measurement Geometry Statistics

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