SHS Core Mathematics · Year 1

Angles & The Pythagorean Theorem practice questions

Drawing and measuring angles, parallel/perpendicular lines and transversals, the exterior angle theorem, angle sums of polygons, and identifying and applying the Pythagorean theorem to right triangles.

27 questions in this topic: 8 recall, 7 applying skills and concepts, 9 strategic thinking and 3 extended thinking. Every one carries a written explanation.

Sample questions

5 of 27 questions in this topic. Sign up to answer them and see the explanations.

Question 1Extended thinking
In a triangle, one interior angle is 30°, its adjacent exterior angle is marked x, and the third interior angle is 88°, with the exterior angle theorem giving x = 30° + interior angle at the far vertex. Given x + 88° = 180° (angles on a straight line) and x + y + 30° = 180° (angle sum of a triangle), the value of y is
- a58°
- b92°
- c30°
- d122°
Question 2Skills & concepts
Kwamena cuts a straight edge of wood to make a 45° angle. Since the two resulting angles lie on a straight line and must sum to 180°, the other piece is cut at an angle of
- a135°
- b45°
- c90°
- d225°
Question 3Recall
Two angles are supplementary if
- athey add up to 180°
- bthey add up to 90°
- cthey are both acute
- dthey are vertically opposite
Question 4Strategic thinking
A square has sides of length 4 cm. Using the Pythagorean theorem on the right triangle formed by two sides and the diagonal, the length of the diagonal is
- a4√2 cm
- b8 cm
- c16 cm
- d4 cm
Question 5Strategic thinking
A hexagon has interior angles 120°, 90°, 101°, 130°, 160° and x. Since the angle sum of a hexagon is 720°, solving 601° + x = 720° gives x equal to
- a119°
- b101°
- c601°
- d120°

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Angles & The Pythagorean Theorem practice questions

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