Math topic中文

Construction

construction of simple geometrical figures from given data using compasses, ruler, set squares and protractors, where appropriate

Practice questions

  1. 1In the scale drawing, PQRS represents a plot of land, which is to be used for a park. Scale 1 cm to 0.5 km Find the actu…
  2. 2The diagram shows a line segment PQ. Construct the perpendicular bisector of PQ, showing your constructions clearly. Ans…
  3. 3A triangle ABC is drawn on a square grid. Measure and write down the size of ∠ABC\angle ABC. Using the line WX, draw a par…
  4. 4The diagram shows a quadrilateral PQRS. construct the perpendicular bisector of SR such that it meets PQ at point Z. Mar…
  5. 5The diagram shows a circle and a chord AB. B is due east of A. Locate and label a point C on the circle such that ∠ABC=110∘\angle ABC = 110^\circ…
  6. 6On the map, 3 MRT stations, Braddell (NS18), Caldecott (CC17) and Toa Payoh (NS19) are joined to form a triangle. constr…
  7. 7Construct triangle ABC where AC is 10 cm and angle BAC = 40°. AB has already been drawn. Construct the perpendicular bis…
  8. 8The plan of a triangular-shaped garden, PQR, is such that QR=9.5 cmQR = 9.5\text{ cm} and ∠PQR=30∘\angle PQR = 30^\circ. PQ has been…
  9. 9The figure below shows a parallelogram ABCD drawn on a grid. By joining dots on the grid with straight lines, draw trian…
  10. 10In a scale drawing, Town W, X and Y are shown below. Town Z is 10 cm from Town W and 8 cm from Town Y. On the diagram, c…
  11. 11P, Q and R are points such that ∠PQR = 75° and PR = 9 cm. The line PQ has been drawn for you. Using compass, protractor…
  12. 12The diagram shows the map of a garden in the shape of a quadrilateral ABCD. The scale of the map is 1 cm to 10 m. Using…
  13. 13Refer to the diagram below. QR and QP have already been drawn. In the space below, construct a quadrilateral PQRS such t…
  14. 14The diagram represents a plot of land, EFGH, which is to be used for an observatory. Construct the bisector of the angle…