Math 7 · Unit 5: Angles and constructions · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1a: AB, CD and EF are straight lines. CD crosses AB at a right angle. AB and CD are … lines.

   • perpendicular
   • curved
   • parallel
   • equal
   Check

2. 2. Question 1b: CD crosses EF at a right angle. CD and EF are … lines.

   • equal
   • perpendicular
   • straight
   • parallel
   Check

3. 3. Question 1c: CD crosses AB at a right angle and crosses EF at a right angle. AB and EF are … lines.

   • equal
   • parallel
   • perpendicular
   • crossing
   Check

4. 4. Question 2: two straight lines cross. One angle is 142°. The angles next to it are x and z, and the angle opposite it is y. Work out x, y and z.

   • x = 142°, y = 38°, z = 142°
   • x = 48°, y = 142°, z = 48°
   • x = 38°, y = 142°, z = 38°
   • x = 38°, y = 38°, z = 38°
   Check

5. 5. Question 3: the two lines with arrows are parallel. Work out the size of the angles that have letters.

   • a = 99°, b = 81°, c = 99°, d = 99°
   • a = 99°, b = 81°, c = 81°, d = 81°
   • a = 99°, b = 99°, c = 81°, d = 99°
   • a = 81°, b = 99°, c = 81°, d = 81°
   Check

6. 6. Question 4: work out the values of a, b and c.

   • a = 111°, b = 123°, c = 54°
   • a = 69°, b = 57°, c = 54°
   • a = 69°, b = 57°, c = 126°
   • a = 69°, b = 54°, c = 57°
   Check

7. 7. Question 5: the two lines with arrows are parallel. Work out a, b and c.

   • a = 113°, b = 64°, c = 67°
   • a = 67°, b = 64°, c = 113°
   • a = 67°, b = 49°, c = 113°
   • a = 67°, b = 64°, c = 67°
   Check

8. 8. Question 6: the two lines with arrows are parallel. Work out w, x, y and z.

   • w = 75°, x = 105°, y = 100°, z = 20°
   • w = 105°, x = 75°, y = 80°, z = 25°
   • w = 75°, x = 75°, y = 80°, z = 25°
   • w = 75°, x = 105°, y = 80°, z = 25°
   Check

9. 9. Question 7: DE is parallel to BC. Calculate the value of x.

   • 60°
   • 56°
   • 64°
   • 120°
   Check

10. 10. Here are three statements. Which statement, A, B or C, is correct? A Lines AB and CD are parallel. B Lines AB and CD are not parallel. C You need more information to decide if the lines AB and CD are parallel. Give a reason for your choice.

    • A: the two 55° angles are equal.
    • B: the two 55° angles are not in the same position.
    • C: the two 55° angles are made by different lines, EF and GH.
    • A: AB and CD look parallel.
    Check

11. 11. Question 9: each of a, b, c and d is vertically opposite an angle inside the quadrilateral in the middle. Is the sum of a, b, c and d equal to 360°?

    • Yes
    • No
    Check

12. 12. Question 10: AB, CD and EF are three straight lines. Are AB and EF parallel?

    • Yes
    • No
    Check

13. 13. Question 11a: a five-sided shape is divided into a quadrilateral and a triangle. The sum of its angles must be 540°, because 360° (quadrilateral) + 180° (triangle) = 540°.

    • True
    • False
    Check

14. 14. Question 11b: in general, is the sum of the angles of any five-sided shape equal to 540°?

    • Yes
    • No
    Check