Multiplication Worksheet - A-Level - Intermediate
Multiplication worksheet for A-Level / Vocational (Ages 16-18). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Advanced Multiplication Techniques
A-Level Maths: Intermediate Multiplication
Instructions: This worksheet focuses on advanced multiplication concepts, essential for A-Level Maths. You'll explore various multiplication methods, solve complex problems, and apply these skills in real-world scenarios.
Polynomial Multiplication
Multiply the following polynomials. Show all your working and simplify your answers.
1. (2x + 3)(x - 4)
2. (x^2 + 2x + 1)(x - 3)
3. (3x - 5)(2x^2 + x + 4)
4. (x + 1)(x^2 - 2x + 3)
Matrix Multiplication
Calculate the product of the following matrices. Ensure to show each step of your calculation.
| 1 | 2 |
| 3 | 4 |
| 5 | 6 |
| 7 | 8 |
Calculate A × B:
Multiplying Complex Numbers
Multiply the following pairs of complex numbers and express your answers in the form a + bi.
1. (3 + 2i)(1 - 4i)
2. (5 - 3i)(2 + i)
3. (4 + i)(3 - 2i)
Scalar Multiplication of Vectors
Multiply the given vectors by the scalar values. Provide your answers in vector form.
1. 3 × (2i + 5j)
2. -2 × (4i - 3j + k)
3. 0.5 × (6i + 2j - 4k)
Multiplication in Arithmetic Sequences
Calculate the product of the first n terms of the following arithmetic sequences.
1. Sequence: 3, 6, 9, ..., find the product of the first 5 terms.
2. Sequence: 4, 7, 10, ..., find the product of the first 4 terms.
Multiplication in Real-World Contexts
Solve the following real-world problems using multiplication. Show all your calculations clearly.
1. A company produces 250 units of a product daily. If each unit sells for £15, calculate the total revenue for a week.
2. A car travels 60 miles per hour. How far does it travel in 3.5 hours?
Activity 1: 2x^2 - 5x - 12 ; x^3 - 3x^2 - 5x - 3 ; 6x^3 - 13x^2 - 11x - 20 ; x^3 - x^2 + x + 3
Activity 2: [19,22,43,50]
Activity 3: 11 + 10i ; 13 - i ; 14 - 5i
Activity 4: 6i + 15j ; -8i + 6j - 2k ; 3i + j - 2k
Activity 5: 9720 ; 840
Activity 6: £26250 ; 210 miles
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