Decimals Worksheet - A-Level - Intermediate
Decimals worksheet for A-Level / Vocational (Ages 16-18). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Mastering Decimals: A-Level Maths Practice
Ages 16-18, Intermediate Level
Instructions: This worksheet focuses on enhancing your understanding of decimals in various mathematical contexts. Each activity is designed to challenge your knowledge and application of decimal concepts in real-world scenarios.
Decimal Operations
Solve the following problems involving decimal operations. Ensure you show all your working and round your answers to two decimal places where necessary.
1. Calculate 12.56 + 7.89.
2. Subtract 23.45 from 56.78.
3. Multiply 3.67 by 8.92.
4. Divide 45.67 by 3.2.
5. Find the result of 6.78 × 0.56.
Decimal Place Value
Identify the place value of the underlined digit in each number. Write your answers in words.
1. 45.6_7_8
2. 0.0_9_87
3. 123.4_5_6
4. 78.9_0_1
5. 56.7_8_9
Converting Fractions to Decimals
Convert the following fractions to decimals. Round your answers to three decimal places.
1. 3/8
2. 7/12
3. 5/16
4. 11/25
5. 9/20
Decimal Equations
Solve the following equations for x. Show all your working clearly.
1. 0.5x + 2.3 = 5.8
2. 3.4x - 1.2 = 9.6
3. 2.7x + 4.9 = 12.5
4. 5.6x - 3.3 = 7.8
5. 7.2x + 1.5 = 15.9
Word Problems with Decimals
Read each problem carefully and solve using your knowledge of decimals. Show all calculations.
1. Sarah bought 3.5 kg of apples at £2.75 per kg. How much did she spend in total?
2. A car travels 56.8 miles on 4.3 gallons of fuel. What is the car's fuel efficiency in miles per gallon?
3. If a piece of fabric costs £12.50 per metre, how much will 7.8 metres cost?
Decimal Patterns
Identify the pattern in each sequence and find the next two terms.
1. 2.5, 3.0, 3.5, 4.0, ...
2. 1.2, 2.4, 3.6, 4.8, ...
3. 0.9, 1.8, 2.7, 3.6, ...
Activity 1: 20.45 ; 33.33 ; 32.74 ; 14.27 ; 3.79
Activity 2: Hundredths ; Thousandths ; Tenths ; Hundredths ; Thousandths
Activity 3: 0.375 ; 0.583 ; 0.313 ; 0.44 ; 0.45
Activity 4: x = 7 ; x = 3.18 ; x = 2.81 ; x = 1.98 ; x = 2
Activity 5: £9.63 ; 13.21 miles per gallon ; £97.50
Activity 6: 4.5, 5.0 ; 6.0, 7.2 ; 4.5, 5.4
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