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

Questions

1. 1. Question 1: ABC is a straight line with AB = 4 cm and BC = 5 cm. The line BD is perpendicular to AB, and BD = 6 cm. You draw the line CD. What angle does BD make with BC?

   • 180°
   • 60°
   • 45°
   • 90°
   Check

2. 2. Question 1d: ABC is a straight line with BC = 5 cm, and BD = 6 cm is perpendicular to it. Draw the line CD and measure it. About how long is CD?

   • 11 cm
   • 7.8 cm
   • 1 cm
   • 6.5 cm
   Check

3. 3. Question 2: AB = 4.8 cm is one side of a square ABCD. You draw the square and measure the diagonal AC. About how long is AC?

   • 5.8 cm
   • 4.8 cm
   • 9.6 cm
   • 6.8 cm
   Check

4. 4. Question 3: a parallelogram ABCD has AB = 8 cm, BC = 10 cm, angle A = 68° and angle B = 112°. What are angles C and D?

   • C = 90°, D = 90°
   • C = 112°, D = 68°
   • C = 68°, D = 112°
   • C = 68°, D = 68°
   Check

5. 5. Question 3b: draw the parallelogram ABCD with AB = 8 cm, BC = 10 cm and angle A = 68°. Measure the diagonal BD. About how long is it?

   • 10.2 cm
   • 14.9 cm
   • 18 cm
   • 8 cm
   Check

6. 6. Question 4: AB = 8 cm, BC = 5 cm and angle ABC = 55°. A perpendicular line from C meets AB at D. Measure AD. About how long is it?

   • 2.9 cm
   • 5.1 cm
   • 8 cm
   • 3 cm
   Check

7. 7. Question 5: triangle PQR has PQ = 7 cm, angle P = 55° and angle Q = 48°. What is angle R?

   • 103°
   • 55°
   • 77°
   • 87°
   Check

8. 8. Question 6b: quadrilateral ABCD has angle A = 90°, angle B = 125° and angle C = 90°. Measure angle D. How can you check your answer?

   • 125°: opposite angles are equal
   • 65°: the four angles must add up to 360°
   • 55°: the angles must add up to 180°
   • 55°: the four angles must add up to 360°
   Check

9. 9. Question 6c: in quadrilateral ABCD, AB = 4 cm, BC = 5.5 cm, angle A = 90°, angle B = 125° and angle C = 90°. Measure the length of CD. About how long is it?

   • 5.5 cm
   • 4 cm
   • 8.7 cm
   • 12 cm
   Check

10. 10. Question 7a: to draw quadrilateral ABCD, you start with the right-angled triangle ABC, where AB = 8 cm and BC = 6 cm. You draw AC. How long is AC?

    • 7 cm
    • 2 cm
    • 14 cm
    • 10 cm
    Check

11. 11. Question 7b: quadrilateral ABCD has AB = 8 cm, BC = 6 cm and CD = 6 cm, with right angles at B and at C (angle ACD). Measure AD. About how long is it?

    • 14 cm
    • 11.7 cm
    • 8 cm
    • 10 cm
    Check

12. 12. Question 7c: you measure the angles of quadrilateral ABCD. How can you check the accuracy of your measurements?

    • Check that opposite angles are equal.
    • Add them up: the total should be 180°.
    • Add them up: the total should be 360°.
    • Check that all the angles are less than 90°.
    Check

13. 13. Question 8b: quadrilateral ABCD has AB = AD = 9 cm, angle A = 50°, angle B = 30° and angle D = 30°. What is the fourth angle, at C?

    • 110°
    • 70°
    • 290°
    • 250°
    Check

14. 14. Question 8d: in the same quadrilateral (AB = AD = 9 cm, angle A = 50°, angles B and D = 30°), draw the line AC and measure it. About how long is AC?

    • 5.5 cm
    • 3 cm
    • 8.2 cm
    • 9 cm
    Check

15. 15. Question 9b: a shape is made from two parallelograms and a triangle. Measure AB on the drawing, using its sides of 6 cm, 4 cm and 8 cm. About how long is AB?

    • 14 cm
    • 10.8 cm
    • 8 cm
    • 12 cm
    Check