Multiplication Worksheet for 15-Year-Old Students | Improve Math Skills

Instructions

Complete each section to the best of your ability. This worksheet is designed to challenge your multiplication skills across different types of numbers and concepts. Show your work where appropriate. Try to solve the problems without a calculator first, then use one to check your answers if you wish.

Section 1: Multi-Digit Multiplication

Calculate the exact product for the following problems.

1. 389 × 42 = ?
2. 1,760 × 155 = ?
3. 504 × 208 = ?

Section 2: Decimals and Fractions

Solve the following. For fractions, provide your answer in simplest form.

1. 18.5 × 0.62 = ?
2. (-7.2) × (-3.5) = ?
3. 3 ½ × &frac47; = ?
4. (- ⅝ ) × ( 2 ⅖ ) = ?

Section 3: Algebraic Multiplication

Simplify the following algebraic expressions by multiplying.

1. (6x²y)(4xy³)
2. (x + 7)(x - 4)
3. (2a - 5)(3a + 2)
4. (y - 6)²

Section 4: Real-World Applications

Read the problems carefully and use multiplication to find the solution.

1. A new smartphone costs $1,150. If your school's tech club wants to purchase 14 of them for a project, what will be the total cost?
2. You are painting a feature wall in your room. The wall is a rectangle measuring 4.2 meters in length and 2.5 meters in height. What is the total area of the wall you need to paint? If one can of paint covers 10 square meters, will one can be enough?
3. A recipe for a batch of 12 cookies requires 0.75 cups of sugar. You want to make 4 batches for a bake sale. How many total cups of sugar will you need?

Section 5: Scientific Notation

Multiply the following numbers expressed in scientific notation. Leave your answer in proper scientific notation.

1. (3.0 × 10&sup5;) × (2.5 × 10³) = ?
2. (5.2 × 10&sup-4;) × (1.5 × 10&sup-2;) = ?

Answer Key

Section 1: Multi-Digit Multiplication

1. 16,338
2. 272,800
3. 104,832

Section 2: Decimals and Fractions

1. 11.47
2. 25.2
3. (&frac72;) × (&frac47;) = &frac{28}{14} = 2
4. (-⅝) × (&frac{12}{5}) = -&frac{60}{40} = -1 ½ or -1.5

Section 3: Algebraic Multiplication

1. 24x³y⁴
2. x² - 4x + 7x - 28 = x² + 3x - 28
3. 6a² + 4a - 15a - 10 = 6a² - 11a - 10
4. (y - 6)(y - 6) = y² - 6y - 6y + 36 = y² - 12y + 36

Section 4: Real-World Applications

1. $1,150 × 14 = $16,100
2. Area = 4.2 m × 2.5 m = 10.5 square meters. No, one can of paint that covers 10 square meters will not be enough.
3. 0.75 cups/batch × 4 batches = 3 cups of sugar.

Section 5: Scientific Notation

1. (3.0 × 2.5) × (10&sup5; × 10³) = 7.5 × 10⊃(5+3) = 7.5 × 10&sup8;
2. (5.2 × 1.5) × (10&sup-4; × 10&sup-2;) = 7.8 × 10⊃(-4 + -2) = 7.8 × 10&sup-6;