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
Year 4 Fractions Worksheets with Answers (PDF)
Imaginesis: printable Year 4 Fractions maths worksheets for England (National Curriculum) — Adding and Subtracting Decimals, Calculating Change and Finding the Better Deal, Finding Fractions of a Number: word problems with hints, answers and worked solutions as PDF, also as an A/B test.
Sample word problems
In the bakery display case sit 56 brioche rolls. Exactly 3/7 of the rolls contain dried cherries. How many rolls contain dried cherries?
Hint: First divide the 56 brioche rolls into 7 equal groups to find the size of one part. Then count how many rolls are in 3 of those groups.
Answer: 24
Objectives in this topic
Adding and Subtracting Decimals
Children learn to add and subtract numbers with up to two decimal places, including solving practical problems involving mass.
Y4.F.10 solve simple measure and money problems involving fractions and decimals to two decimal places.Y5.F.10 solve problems involving number up to three decimal places
In Year 4, children learn to add and subtract decimal numbers with up to two decimal places (tenths and hundredths). They work with both pure numbers and real-world quantities, such as adding together measurements of mass.
A common mistake occurs when children calculate with decimals of different lengths, such as adding 3.4 and 1.25. Children often align the digits to the right edge as they would with whole numbers, which leads to adding tenths to hundredths rather than keeping the decimal points lined up by place value.
Worksheet tasks provide practice through direct calculations where children add decimals and subtract decimals using columnar layouts. Children also apply these methods to contextual questions, such as adding masses written as decimals to find total weights.
Calculating Change and Finding the Better Deal
Children learn to calculate change from a budget and compare prices in pounds and pence using decimals to two decimal places.
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 4, children calculate with money using pounds and pence written as decimals to two decimal places. Building on their understanding of decimals to hundredths, they add and subtract amounts to find totals and work out remaining balances, as well as compare different prices to see which option costs less.
A frequent mistake happens when subtracting money across boundaries, especially when calculating change from whole pound amounts such as £5.00 or £10.00. Children often forget to regroup across the zeros, or they treat the numbers after the decimal point as separate whole numbers (for instance, thinking that £3.5 is 5 pence rather than 50 pence).
Worksheets for this skill feature two practical problem types:
- How much money is left? — children subtract purchases from a starting budget to calculate the exact change remaining.
- Which offer is the better deal? — children compare multi-buy options or different prices to decide which purchase provides the best value.
Finding Fractions of a Number
Children learn to calculate unit and non-unit fractions of whole numbers, using division and multiplication to reach a whole-number answer.
KS3.N.11 interpret fractions and percentages as operatorsKS3.R.6 understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fractionY3.F.2 recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominatorsY3.F.7 solve problems that involve all of the above.Y4.F.3 solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole numberY6.R.4 solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
In Year 4, children calculate unit and non-unit fractions of quantities where the result is a whole number. Using their times tables up to 12 × 12, they learn a reliable two-step process: divide the starting number by the denominator (the bottom number) to find the value of one part, then multiply that answer by the numerator (the top number).
A common error occurs when working with non-unit fractions such as 3/4 of 24. Children frequently divide 24 by 4 to get 6, but stop there, forgetting to complete the second step of multiplying by 3. Some children also mix up the roles of the digits, mistakenly trying to divide by the top number instead of the bottom.
Tasks using the Find a fraction of a number template present direct arithmetic questions such as finding 2/5 of 35 or 5/6 of 42. These questions rely on known multiplication and division facts so children can master the sequence of dividing and multiplying without getting stuck on complex arithmetic.