Year 5 Multiplication and Division Worksheet - Intermediate
Year 5 Multiplication and Division 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.
Multiplication & Division: Year 5 Number Skills
Key Stage 2 • Ages 9–10 • Intermediate
Instructions: Work through each activity and show your written methods where helpful. Check multiplication using division, and remember that a remainder must make sense in the context of a question.
Multiples, Factors and Common Factors
Answer each question in the box. For factor questions, list every factor requested; for multiples, continue the sequence accurately.
1. Write the next three multiples of 7 after 35.
2. List all the factors of 24.
3. Write all the factor pairs of 36.
4. Write the common factors of 18 and 30.
5. Is 48 a multiple of 6? Show the multiplication fact that proves your answer.
Prime, Composite and Number Properties
Classify each number as prime or composite. For the final question, write the prime factors that multiply to make the number.
1. Is 29 prime or composite?
2. Is 51 prime or composite?
3. Is 1 prime, composite, or neither?
4. Write the prime factorisation of 30.
5. Which of these numbers is prime: 39, 41 or 49?
Multiply Using Written Methods
Use a written method for each calculation. Set out the long multiplication clearly, especially when multiplying by a two-digit number.
1. 3,426 × 7 =
2. 2,308 × 24 =
3. 1,576 × 32 =
4. 4,095 × 6 =
5. 2,417 × 15 =
Short Division and Remainders
Use short division to solve each calculation. Write remainders as “r” followed by the remainder; for the sharing problem, explain what the remainder means.
1. 3,864 ÷ 6 =
2. 2,957 ÷ 4 =
3. 4,725 ÷ 5 =
4. 3,406 ÷ 8 =
5. A school has 1,250 pupils going on a trip. Each coach holds 48 pupils. How many coaches are needed?
Multiply and Divide by 10, 100 and 1,000
Calculate each answer mentally if you can. Check how each digit’s place value changes when you multiply or divide.
1. 4,306 × 10 =
2. 72,500 ÷ 100 =
3. 38 × 1,000 =
4. 6,240 ÷ 10 =
5. 905 × 100 =
Square and Cube Numbers
Use multiplication facts to identify square and cube numbers. Give the multiplication sentence as well as the value where requested.
1. 8² =
2. 4³ =
3. Is 49 a square number? Write the matching multiplication sentence.
4. Is 27 a cube number? Write the matching multiplication sentence.
5. Which is greater: 6² or 3³?
Activity 1: 42, 49, 56 ; 1, 2, 3, 4, 6, 8, 12, 24 ; 1×36, 2×18, 3×12, 4×9, 6×6 ; 1, 2, 3, 6 ; Yes, 6×8=48
Activity 2: Prime ; Composite ; Neither ; 2×3×5 ; 41
Activity 3: 23,982 ; 55,392 ; 50,432 ; 24,570 ; 36,255
Activity 4: 644 ; 739 r1 ; 945 ; 425 r6 ; 27 coaches
Activity 5: 43,060 ; 725 ; 38,000 ; 624 ; 90,500
Activity 6: 64 ; 64 ; Yes, 7×7=49 ; Yes, 3×3×3=27 ; 6², because 36>27
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