Division Worksheet - GCSE - Intermediate
Division worksheet for Key Stage 4 / GCSE (Ages 14-16). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Mastering Division: Intermediate Challenges
Key Stage 4 / GCSE Maths: Ages 14-16, Intermediate Level
Instructions: This worksheet focuses on enhancing your division skills through a variety of challenging problems. Work through each activity carefully, showing all your calculations where required. Use the answer spaces provided to ensure clarity in your solutions.
Division of Whole Numbers
Solve each division problem below. Show all your workings clearly in the space provided.
1. Divide 756 by 18.
2. Divide 1,024 by 32.
3. Divide 1,365 by 15.
4. Divide 2,500 by 25.
5. Divide 9,876 by 12.
Division with Remainders
Calculate the division problems below and express your answers as whole numbers with remainders.
1. 845 ÷ 22
2. 1,234 ÷ 45
3. 678 ÷ 56
4. 2,789 ÷ 34
5. 9,999 ÷ 17
Dividing Decimals
Perform the division operations below involving decimals. Round your answers to two decimal places.
1. 45.6 ÷ 1.2
2. 78.9 ÷ 3.4
3. 123.45 ÷ 5.67
4. 987.65 ÷ 4.32
5. 56.78 ÷ 2.5
Word Problems Involving Division
Read each problem carefully and solve it using division. Write your answer in the space provided.
1. A farmer has 1,200 apples and wants to pack them into boxes, each holding 25 apples. How many boxes does he need?
2. A school has 480 students and wants to divide them equally into 12 classes. How many students will be in each class?
3. A car travels 1,560 miles over 6 days. How many miles does it travel per day on average?
4. A baker has 2,400 cookies and wants to distribute them equally among 60 customers. How many cookies does each customer receive?
5. A charity event raised £5,000 and wants to distribute it equally among 20 different causes. How much does each cause receive?
Division with Fractions
Solve the division problems involving fractions. Simplify your answers where possible.
1. Divide 3/4 by 1/2.
2. Divide 5/6 by 2/3.
3. Divide 7/8 by 3/4.
4. Divide 9/10 by 1/5.
5. Divide 11/12 by 2/3.
Division and Algebra
Solve the algebraic division problems below. Show all steps clearly.
1. If 5x = 45, find x.
2. If 7y = 84, find y.
3. If 9z = 108, find z.
4. If 4a = 64, find a.
5. If 6b = 72, find b.
Division in Real-Life Contexts
Apply division to solve these real-life scenarios. Provide detailed solutions.
1. A company has a budget of £100,000 for 5 departments. How much does each department receive?
2. A library has 2,400 books and wants to arrange them equally on 60 shelves. How many books per shelf?
3. A tank holds 1,500 litres of water and is being filled at a rate of 50 litres per minute. How long will it take to fill the tank?
4. A runner completes a marathon of 42.195 km in 3 hours. What is their average speed in km/h?
5. A chef has 10 kg of flour and needs to divide it into bags of 250 grams each. How many bags can be made?
Division with Negative Numbers
Solve the division problems involving negative numbers. Show your workings.
1. Divide -48 by 6.
2. Divide 72 by -8.
3. Divide -90 by -10.
4. Divide -56 by 7.
5. Divide 100 by -5.
Activity 1: 42 ; 32 ; 91 ; 100 ; 823
Activity 2: 38 R5 ; 27 R19 ; 12 R6 ; 82 R11 ; 588 R5
Activity 3: 38 ; 23.21 ; 21.77 ; 228.66 ; 22.71
Activity 4: 48 ; 40 ; 260 ; 40 ; 250
Activity 5: 3/2 ; 5/4 ; 7/6 ; 9/2 ; 11/8
Activity 6: 9 ; 12 ; 12 ; 16 ; 12
Activity 7: 20,000 ; 40 ; 30 ; 14.065 ; 40
Activity 8: -8 ; -9 ; 9 ; -8 ; -20
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