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 D2onto 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
Fanta13
Pepsi Cola21
Mirinda14
Coca Cola17
Sprite7

Draw a pie chart to illustrate the sales.