# Maths homework 15 Apr

```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.
[3]
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 .
TQR
............................q
[2]
(b)
TRS
.............................q
[2]
Yvonne Lee/BMSS/2017/1E/P1/EOY
72
2
(a) Find the interior angle of a regular 15-sided polygon.
[2]
(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.
[2]
7
(a) Calculate the total surface area of the prism below.
[3]
(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.
[4]
9
In the diagram, the shape is made up of trapezium ABFG, rectangle BCEF and semicircle CDE.
Find
(a) its perimeter,
[3]
(b) its area.
[4]
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;
[2]
(b) ______________&deg;
[2]
(c)
[3]
Towards Excellence and Success
144
______________&deg;
7
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