SS2: MATHEMATICS HOLIDAY ASSIGNMENT. (TEST 01 - 40 marks)
1.
(a) ABCD is a rectangle in which /AB) = 2.8 cm and /AD/ = 3.3 cm. E is a point on
DC produced such that AAED and rectangle ABCD are equal in area. Calculate
() /DE/ (ii) /AE/
A
2.9
13
(b) Solve the equation * = x - 5+
3.3
2
D
2.
(a) The floor of a classroom measures 6m by 8m. The walls are 3m high and
they contain tour windows measuring 1.2m by 75 cm. There is a door which
measures 2m by 80 cm. What percentage of the total wall area is taken up by
the windows and doors? Give your answers to two s. f.
(b) The cost(c) of producing n bricks is the sum of a fixed amount, hand a
variable amount y, where y varies directly as n. If it costs N950.00 to produce
600 bricks and N1030.00 to produce 1000 bricks.
(i) Find the relationship between c, h and y
(ii) Calculate the cost of producing 500 bricks.
k
3.
Solve for x given thatx2
x = 2p, where k and p are real constants
(a) the surface area of a closed cone of height h and base radius r is given by
the formula,
A - Ter2 + tor Vh2 + r2, show that
A
2nr 2
h =
L.
1 .Hence calculate the height of the cone of surface area
157cm’and base radius 3 cm. (1 = 3)
(b) If x is the average of m and 9, y is the average of 2m and 15 and z is the
average of 3m and 18, What is the average of x, y and z.
​