Year 5 Addition and Subtraction Worksheet - Intermediate

Year 5 Addition and Subtraction worksheet for Year 5 (Key Stage 2 / Year 3-6 (Ages 7-11)). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Additionintermediate

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Year 5 Addition and Subtraction: Calculate, Check and Solve

Key Stage 2 • Ages 9–10 • Intermediate

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Instructions: Work through each activity carefully and show your written methods where asked. Use rounding to estimate or check calculations, and include units in your word-problem answers where appropriate. Read each problem twice before choosing your method.

Formal Written Addition

Set out each calculation in columns, lining up the place values. Use carrying where needed, then write the total in the box.

1. 38,746 + 25,839 =

2. 106,458 + 79,675 =

3. 245,907 + 318,694 =

4. 507,286 + 196,738 =

5. 72,095 + 408,967 =

Formal Written Subtraction

Set out each subtraction in columns, keeping the place values aligned. Exchange across columns when needed and check each answer using addition.

1. 64,203 − 28,746 =

2. 150,000 − 86,529 =

3. 402,715 − 178,968 =

4. 700,304 − 295,876 =

5. 536,020 − 247,385 =

Mental Maths: Add and Subtract

Work these out mentally by partitioning numbers, adjusting to a nearby multiple of 10 or 100, or using a known fact. You may jot down a quick note, but aim to calculate without a formal column method.

1. 48,000 + 7,000 =

2. 63,500 − 8,000 =

3. 29,999 + 6,001 =

4. 125,000 − 25,500 =

5. 87,450 + 9,950 =

Round to Estimate and Check

For each calculation, round both numbers to the nearest 1,000 to find an estimate. Then calculate the exact answer and decide whether the estimate is a sensible check.

1. 34,782 + 18,419

Estimate (nearest 1,000): Exact answer:

2. 72,645 − 29,318

Estimate (nearest 1,000): Exact answer:

3. 156,290 + 43,875

Estimate (nearest 1,000): Exact answer:

4. 305,602 − 87,941

Estimate (nearest 1,000): Exact answer:

Two-Step Number Problems

Choose the operations needed and solve each problem in two steps. Show your working in the box, then give a clear final answer.

1. A library had 18,745 books. It bought 2,860 more books and then removed 1,395 damaged books. How many books remained?

2. A stadium had 42,680 people attend on Saturday and 38,945 on Sunday. If 6,250 tickets were available but unsold across the two days, how many tickets were sold in total?

3. A charity aimed to raise £50,000. It raised £18,750 in May and £16,985 in June. How much more does it need to reach its target?

4. A delivery lorry travelled 125,600 metres in the morning and 98,750 metres in the afternoon. It then travelled 24,350 metres less the next day than it travelled on the first day. How far did it travel on the next day?

Choose a Method and Explain

Calculate each expression, choosing mental or written methods as appropriate. For each one, give a short reason why your answer is reasonable, such as a rounded estimate or an inverse check.

1. 267,450 + 132,550 =

Reason or check:

2. 500,000 − 198,750 =

Reason or check:

3. 76,980 + 23,020 − 15,000 =

Reason or check:

4. 340,000 − 75,500 − 64,500 =

Reason or check:

Answer Key

Activity 1: 1. 64,585 ; 2. 186,133 ; 3. 564,601 ; 4. 704,024 ; 5. 481,062

Activity 2: 1. 35,457 ; 2. 63,471 ; 3. 223,747 ; 4. 404,428 ; 5. 288,635

Activity 3: 1. 55,000 ; 2. 55,500 ; 3. 36,000 ; 4. 99,500 ; 5. 97,400

Activity 4: 1. Estimate 53,000; exact answer 53,201 ; 2. Estimate 44,000; exact answer 43,327 ; 3. Estimate 200,000; exact answer 200,165 ; 4. Estimate 218,000; exact answer 217,661

Activity 5: 1. 20,210 books ; 2. 75,375 tickets ; 3. £14,265 ; 4. 200,000 metres

Activity 6: 1. 400,000; reasonable check: 267,000 + 133,000 = 400,000 ; 2. 301,250; reasonable check: 500,000 − 199,000 ≈ 301,000 ; 3. 85,000; reasonable check: 77,000 + 23,000 − 15,000 = 85,000 ; 4. 200,000; reasonable check: 340,000 − 76,000 − 64,000 = 200,000