TeacherDora Admin
BECE 1994 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Multiply (a – b) by (2b – a)
(b)
Find the truth set of 2x – 6 ≤ 5 (3 – x).
Illustrate your answer on a number line.
(c)
Given that u =
(a)
A ladder leans against a wall. The end of the ladder touches the wall 12m from the ground. The foot of the ladder is 9m away from the foot of the wall.
(i)
What is the length of the ladder?
(ii)
Calculate the angle that the ladder makes with the ground.
(b)
Given that π = 3.14 and g = 20. Find the value of F in the relation F =
Using a ruler and a pair of compasses only,
(a)
construct triangle PQR in which |PQ| = 8 cm, angle QPR = 45° and angle PQR = 90°. Measure |QR|
(b)
construct the mediator of line PQ to meet line PR at the point S.
(c)
With S as the centre and radius 3 cm, construct a circle
Using a scale of 2 cm to 1 unit on both axis, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from –5 to 5 and the y-axis from –6 to 6. Mark the origin O.
(i)
Draw on the same graph sheet, indicating in each case, the co-ordinates of all the vertices the square ABCD where A(1, 2), B(4, 2), C(4, 5) and D(1, 5) are the respective points.
(ii)
Using the y-axis as a mirror line draw the image A1B1C1D1 of square ABCD where A→A1,B→B1, C→C1 and D→D1.
(iii)
Draw an enlargement A2B2C2D2 of the square ABCD with scale factor –1 from O, such that A→A2, B→B2, C→C2 and D→D2.
(iv)
What single transformation maps A2B2C2D2 onto the square A1B1C1D1?
The following table gives the distribution of sales of soft drinks sold by the Jatokrom JSS canteen in one week.
| Soft Drink | No. of Bottles Sold |
| Fanta | 13 |
| Pepsi Cola | 21 |
| Mirinda | 14 |
| Coca-cola | 17 |
| Sprite | 7 |
Draw a pie chart to illustrate the sales.