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# Maths homework 15 Apr

advertisement ```10 In the diagram, ABCD is a trapezium in which AD 13 cm, AB 10 cm, BC
DAB 90q . E and F are points on AD and AB respectively such that AE
20 cm and
6 cm and AF
8 cm.
Find the area of the shaded region EFBC.
Answer …………………………….... cm2

11
13 In the diagram, UTR is a straight line and TQR is an isosceles triangle such that QT
that PQ // RS , UTQ 155q and PQT
QR . Given
90q , find
155o
(a)
TQR ,
(b)
TRS .
Answer (a)
TQR
............................q

(b)
TRS
.............................q

Yvonne Lee/BMSS/2017/1E/P1/EOY
72
2
(a) Find the interior angle of a regular 15-sided polygon.

(b) An n-sided polygon has 2 interior angles measuring 100q each and the remaining
interior angles are qq each.
Find an expression for q in terms of n.

7
(a) Calculate the total surface area of the prism below.

(b) Mr Lee took 30 mins to drive from Jurong to Changi at an average speed of 72 km/h. He took
the same route (but in the opposite direction) at an average speed of 5 km/h faster for
his return trip. Find his average speed for the round trip correct to the nearest km/h.

9
In the diagram, the shape is made up of trapezium ABFG, rectangle BCEF and semicircle CDE.
Find
(a) its perimeter,

(b) its area.

East Spring Secondary School
Mathematics Department
Do It Right. Always
10.
S1Ex Maths Paper 1
2017 2SE
In the given diagram, AB is parallel to CD and CG is parallel to BF,
∠ABF = 46&deg; and ∠GCE = 108&deg; .
B
A
D
C
G
E
F
State with reasons clearly, find the value of the following.
(a)
∠CED
(b)
∠CDB
(c)
reflex ∠DCG
2SE 2017 1E MATHS P1
Ans: (a) ______________&deg;

(b) ______________&deg;

(c)

Towards Excellence and Success
144
______________&deg;
7
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