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

    • 3n + 15
    • 3n + 5
    • n + 15
    • 3n + 8

  2. A rectangle has one corner marked with a small square. Every rectangle is also a parallelogram, and opposite angles of a parallelogram are equal. What is the angle opposite the marked corner?

    • 90 degrees
    • 45 degrees
    • 180 degrees
    • It cannot be known

  3. Work out 3 + 4 × 2.

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

  4. 1/8 written as a decimal is 0.125. What is 1/8 as a percentage?

    • 1.25%
    • 12.5%
    • 125%

  5. Work out 6 x 14 by splitting 14 into 10 + 4.

    Answer: ______________

  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?

    • 90°
    • 45°
    • 180°

  7. A shape is a rectangle, so it is also a parallelogram. Its sides are 6 cm and 4 cm. What is its perimeter?

    • 20 cm
    • 10 cm
    • 24 cm
    • 12 cm

  8. Simplify 2 x (9 + 6) with the distributive rule, then give the total.

    Answer: ______________

  9. A quadrilateral has opposite sides parallel and all four angles are 90 degrees. Which statement must be true?

    • It is both a rectangle and a parallelogram
    • It must be a square
    • It cannot be a parallelogram
    • It has no equal sides

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

    • 16
    • 11
    • 8
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Answer key

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

Structure in shapes and expressions W1-mt_hImiKNiaNh-s1

  1. 3n + 15 · Multiply out: 3 x n = 3n and 3 x 5 = 15, giving 3n + 15.
  2. 90 degrees · Opposite angles of a parallelogram are equal, so the angle opposite the 90-degree corner is also 90 degrees.
  3. 11 · Multiply first: 4 × 2 = 8. Then add: 3 + 8 = 11.
  4. 12.5% · To change a decimal to a percentage, multiply by 100: 0.125 × 100 = 12.5%.
  5. 84 · 6 x 10 = 60 and 6 x 4 = 24, and 60 + 24 = 84.
  6. 90° · Every rectangle is a parallelogram, and in a parallelogram opposite angles are always equal. So the opposite angle is also 90°.
  7. 20 cm · Opposite sides are equal, so the perimeter is 6 + 4 + 6 + 4 = 20 cm.
  8. 30 · 2 x 9 = 18 and 2 x 6 = 12, and 18 + 12 = 30.
  9. It is both a rectangle and a parallelogram · Right angles plus parallel opposite sides fit the rectangle family, and every rectangle is a parallelogram.
  10. 11 · Multiply before you add: 3 × 2 = 6, then 5 + 6 = 11. Leo added first, which gave the wrong answer.
Worksheet · LightMySky