1994 Essay (written) questions 4 & 5

Q 4.

Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular lines Ox and Oy on a graph sheet, mark the x-axis from −5 to 5, and y-axis −6 to 6. Mark the origin.

Draw on the same graph indicating in each case the coordinates of all vertices:

(i) The square ABCD where A(1, 2), B(4, 2), C(4, 5) and D(1, 5)

(ii) Using the y-axis as a mirror line draw the image A1 B1 C1 D1 of square ABCD, where A → A1, B → B1, C → C1, and D → D1.

(iii) Draw the enlargement A2 B2 C2 D2 of the square with scale factor −1 from O, such that A → A2, B → B2, C → C2, and D → D2,

(iv) What single transformation maps A2 B2 C2 D2 onto A1 B1 C1 D1 ?

Q 5.

The following shows the distribution of sales of soft drinks sold by Jatokrom JHS canteen in one week.

Soft drinkNo. of bottles sold
Pepsi Cola21
Coca Cola17

Draw a pie chart to illustrate the sales.