GradeMap

Grade 6 · Math · Unit 13 of 14

Angles, Area & Surface

Angle rules, area and surface area

What your child practises

Converting metric units, finding unknown angles, finding the area of trapezoids, rhombuses and L-shapes, and the surface area of boxes and pyramids.

Ontario Curriculum expectation: E2.1–E2.6 · metric conversions, angle relationships, areas of trapezoids and rhombuses, and surface area

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    A trapezoid has parallel sides of 10 cm and 12 cm and a height of 6 cm. What is its area in square centimetres?

    (10 + 12) × 6 ÷ 2 = ?

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    66

    Hint: Area = (sum of the parallel sides) × height ÷ 2.

  2. Question 2

    Two angles are complementary. One angle is 61°. What is the other angle?

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    29

    Hint: Complementary angles add to 90°.

  3. Question 3

    An angle measures 100° clockwise. What is the same turn measured counterclockwise?

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    260

    Hint: A full turn is 360°. Counterclockwise = 360° − clockwise.

  4. Question 4

    A rhombus has diagonals of 10 cm and 5 cm. What is its area in square centimetres?

    10 × 5 ÷ 2 = ?

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    25

    Hint: Area = diagonal × diagonal ÷ 2.

  5. Question 5

    730 cm = m

    730 cm = m

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    7.3

    Hint: Divide by 100 to change cm to m.

  6. Question 6

    In a triangle, the interior angles at two corners are 54° and 49°. What is the exterior angle at the third corner?

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    103

    Hint: An exterior angle equals the sum of the two interior angles that are not next to it.