Imaginesis: printable Year 5 Measurement maths worksheets for England (National Curriculum) — Finding the Area and Missing Sides of Rectangles, Calculating time in hours, minutes and seconds, Calculating Change, Budgets, and Best Deals: word problems with hints, answers and worked solutions as PDF, also as an A/B test.
By the orchard hedge, Kai builds an automatic drip system to water a rectangular garden bed. The bed is 13 m long and 4 m wide. How many square metres does this garden bed cover?
Hint: Think about the rectangular garden bed as a grid made of rows and columns. Picture 4 rows of one-metre squares along the width, with 13 metres in each row, and find how many square metres that makes in all.
Answer: 52 m²
A relay event in the school gym starts at 8:40 when red batons and clipboards are taken from the sports equipment rack. The event finishes at 11:40 as the final runners cross the line. How many minutes does the relay event last?
Hint: First count the minutes from 8:40 to the next full hour, then see how many whole hours and remaining minutes pass until 11:40.
Answer: 180
A deli sells honey in two offers: 5 jars of honey for £40, or 9 jars of honey for £36. How much does one jar cost in the offer that is cheaper per jar?
Hint: Find the price of one jar in each offer, then compare.
Answer: 4
Children learn to calculate the area of rectangles in cm² and m², and work backwards from the area to find an unknown side length.
Y5.GPS.5 use the properties of rectangles to deduce related facts and find missing lengths and anglesY5.M.4 calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapesY6.M.4 recognise that shapes with the same areas can have different perimeters and vice versaY6.M.5 recognise when it is possible to use formulae for area and volume of shapes
In Year 5, children calculate and compare the area of rectangles and squares using standard units, specifically square centimetres (cm²) and square metres (m²). They multiply the length by the width to determine the total space inside a shape. Children also use short division to reverse this calculation: using a known area and one given side to deduce the missing length of another side.
A frequent mistake is mixing up area and perimeter. Pupils often add the side lengths together instead of multiplying them, or label their final answer with standard units like cm rather than square units like cm². When finding an unknown side, children also commonly try to multiply the area by the known measurement instead of dividing the area by that side.
Worksheet tasks build this skill step by step. With Area of a rectangle, children calculate the area from labelled diagrams, while Area of a rectangle in everyday life applies these calculations to real-world contexts such as garden plots or tabletop measurements. In Missing side of a rectangle tasks, children are presented with the total area alongside one dimension and must divide to find the missing edge.
Children learn to convert between hours, minutes, and seconds, and calculate elapsed time intervals to work out how long an event lasted.
KS3.R.1 change freely between related standard units [for example time, length, area, volume/capacity, mass]Y3.M.5 estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnightY3.M.6 know the number of seconds in a minute and the number of days in each month, year and leap yearY4.M.1 Convert between different units of measure [for example, kilometre to metre; hour to minute]Y4.M.6 solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.Y5.M.6 solve problems involving converting between units of time
In Year 5, children solve problems where they convert between units of time, working with hours, minutes, and seconds. Building on the facts that 60 seconds make a minute and 60 minutes make an hour, they multiply and divide to convert between units and calculate time intervals across start and end times.
A common mistake occurs when pupils treat time like decimal numbers. Because standard addition and subtraction use base 10, children often mistakenly assume there are 100 seconds in a minute or 100 minutes in an hour. This leads them to miscalculate durations or convert times incorrectly, such as thinking that 1 minute 20 seconds equals 120 seconds rather than 80 seconds.
In practice, tasks focus on conversions and calculating elapsed time:
Children use all four operations to calculate change, track spending, and compare deals using pounds and pence in decimal notation.
KS3.N.12 use standard units of mass, length, time, money and other measures, including with decimal quantitiesY4.F.10 solve simple measure and money problems involving fractions and decimals to two decimal places.Y4.M.4 estimate, compare and calculate different measures, including money in pounds and penceY5.M.7 use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling.
In Year 5, children use all four operations to solve practical money problems written in decimal notation to two decimal places (£ and p). They combine addition and subtraction to track spending against a set budget and calculate change, and they apply multiplication and division—including scaling—to compare prices across different quantities.
A common mistake occurs when subtracting spending from whole pound amounts, such as £10 or £20. Children frequently forget to write the starting amount with decimal zeros (for example, £20.00), leading to misaligned place value columns or errors when regrouping across zeros. When evaluating deals, pupils often compare the total prices directly without first scaling the items to equal quantities.
Worksheet tasks apply these skills in two main formats:
