Worksheets › Class 8 › We Distribute, Yet Things Multiply

Class 8 We Distribute, Yet Things Multiply worksheet

CBSE Mathematics. The distributive property, (a + b)², (a − b)², (a + b)(a − b), (x + a)(x + b), quick squares and products. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    Using (a + b)², 62² equals:

    1. 3845
    2. 3604
    3. 3724
    4. 3844
    Answer

    (d) 3844

    60² + 2 × 60 × 2 + 2² = 3600 + 240 + 4

  2. 2.

    Using (a − b)², 86² equals:

    1. 7756
    2. 7404
    3. 7396
    4. 8084
    Answer

    (c) 7396

    90² − 2 × 90 × 4 + 4² = 8100 − 720 + 16

  3. 3.

    (a + b)² equals:

    1. a² + ab + b²
    2. 2a + 2b
    3. a² + b²
    4. a² + 2ab + b²
    Answer

    (d) a² + 2ab + b²

Section B · short answer

  1. 4.

    Expand (x + 3)(x − 8).

    Answer

    x² − 5x − 24

    x² − 8x + 3x − 24

  2. 5.

    Expand (6y − 9)².

    Answer

    36y² − 108y + 81

    (6y)² − 2 × 6y × 9 + 9²

Section C · long answer

  1. 6.

    A square garden of side 24 m has a path 2 m wide all round its outside. Find the area of the path.

    Answer

    208 m²

    28² − 24² = (28 + 24)(4) = 208

Fresh sheets for your child

In the app, every We Distribute, Yet Things Multiply sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

More Class 8 Mathematics