Using structure in shapes and expressions · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Structure in shapes and expressions

Mathematics · Mathematical Thinking · ages 10-11
Name ______________________   Date ____________

  1. Every rectangle is also a parallelogram.

    Circle one:   True   False

  2. Work out 3 + 4 × 2.

    3 + 4 × 23 + 811
    • 9
    • 11
    • 14

  3. 1/8 written as a decimal is 0.125. What is 1/8 as a percentage?

    • 1.25%
    • 12.5%
    • 125%

  4. Work out 10 - 2 × 3.

    Answer: ______________

  5. Which expression equals 3 × (n + 5)?

    • 3n + 5
    • 3n + 15
    • n + 15

  6. A rectangle has one angle marked 90°. Since a rectangle is a parallelogram, and opposite angles in a parallelogram are equal, what is the angle opposite it?

    • 45°
    • 90°
    • 180°

  7. A prize is split two ways: one person gets 1/8 of it, another gets 12% of it. Who gets more?

    • The 1/8 share
    • The 12% share
    • They are exactly equal

  8. Leo says 5 + 3 × 2 = 16 because he added 5 and 3 first. What is the correct answer?

    • 8
    • 11
    • 16
LightMySky · lightmysky.comW1-mt_hImiKNiaNh-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Structure in shapes and expressions W1-mt_hImiKNiaNh-s1

  1. True · Rectangles have two pairs of parallel sides, exactly like parallelograms. That means every rectangle fits the definition of a parallelogram too.
  2. 11 · Multiply first: 4 × 2 = 8. Then add: 3 + 8 = 11.
  3. 12.5% · To change a decimal to a percentage, multiply by 100: 0.125 × 100 = 12.5%.
  4. 4 · Multiply first: 2 × 3 = 6. Then subtract: 10 - 6 = 4.
  5. 3n + 15 · The 3 multiplies both parts inside the brackets: 3 × n = 3n and 3 × 5 = 15, so the answer is 3n + 15.
  6. 90° · Every rectangle is a parallelogram, and in a parallelogram opposite angles are always equal. So the opposite angle is also 90°.
  7. The 1/8 share · 1/8 equals 12.5%, which is more than 12%. So the 1/8 share is the bigger amount.
  8. 11 · Multiply before you add: 3 × 2 = 6, then 5 + 6 = 11. Leo added first, which gave the wrong answer.
Worksheet · LightMySky