Grade 4 maths: topics, exercises and worksheets

In Grade 4, the written calculation methods become reliable and estimating turns into a natural check. Units such as kg and t join in. This selection helps you find suitable topics and master the transition to Grade 5.

Reference: existing NRW curriculum mapping in Germany. Topics and sequence may vary by federal state, school type and classroom. This selection is not a complete curriculum.

Check every written calculation with an estimate: round the numbers and calculate in your head. Anyone used to estimating spots an implausible answer immediately – even later in Grade 5.

1. Written calculation with system

Adding, subtracting, multiplying and dividing: place digits under digits and check each calculation with an estimate before writing down the answer.

2. Supplement skilfully semi-written

Not every task needs the full written layout. With splitting and helper facts you calculate faster – and understand what the written methods really do.

3. Connect units with geometry

Calculate with kg and t before comparing amounts, and keep perimeter apart from area. In the coordinate system, read the horizontal value first and the vertical value second.

Two questions to get started

Add 4,678 + 2,549.

Answer and worked solution

7,227

Ones: 8 + 9 = 17, so 7 and carry 1. Tens: 7 + 4 + 1 = 12, so 2 and carry 1. Hundreds: 6 + 5 + 1 = 12, so 2 and carry 1. Thousands: 4 + 2 + 1 = 7.

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Calculate 243 · 3.

Answer and worked solution

729

Ones: 3 · 3 = 9. Tens: 4 · 3 = 12, so 2 and carry 1. Hundreds: 2 · 3 + 1 = 7.

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Free maths worksheets with worked solutions

Numbers to 1000: free German worksheet with solutions (PDF)

Grades 3/4: questions 1–5 practise numbers and simple sums; 6–10 practise semi-written steps that cross the tens and hundreds boundary, with question 10 as a word problem.

PDF and questions in German

Download German PDF with questions and solutions View questions and solutions