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1 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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1) State whether or not the following shapes are congruent: (3
Marks)
a)
b)
c)
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2 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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2) Are the following shapes reflected, enlarged or translated?
(2 Marks)
a)
b)
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3 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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3) Enlarge the following shapes by 2.25: (4 Marks)
a)
b)
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4 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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4) Rotate the following shapes 146o
clockwise about the given points:
(4 Marks)
a)
b)
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5 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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5) Find the angles A, B and C in the following: (9 Marks)
a)
b)
c)
A = . OReason: ...
..B = . OReason: .....C = . OReason: .....
A = . OReason: .B = . OReason: .C = . OReason: .
A = . OReason: .....
B = . OReason: .....C = . OReason: .....
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6 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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6)
AB and CD are equal. BC and AD are equal. WX and ZY are
equal.ZW
and YX are equal. Take the height of Shape 1 as 110 cm, and the
heightof Shape 2 as 89 cm. Solve the following equations to find
the lengths
of various lines from the above given shapes. (4 Marks)
To find WX:
3x+ 156 = 6x (take answer in centimeters)
To find AB:5x+ 70 = + 4x (take answer in centimeters)
.
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7 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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Using the information from the previous part of this question,
find the
sum of the volumes of the above shapes. Show your working
clearly.
7) A hollow rod whose cross section uniform throughout the
shape,
where the radius is 3.8 cm, is filled with water. What is the
capacity of
water that the rod can hold? Take its height as 11. (Take as
3.142)(2 Marks)
. cm3
.
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8 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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8) In a regular octagon, triangle DE, and triangle CF are
intersecting.Find angles X and Y. (2 Marks)
9) Solve for X . (1 Marks)
X=..o Y=..o
X=..o
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9 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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10) Solve for Y and X. (3 Marks)
11) Find the area of the shaded region. (3 Marks)
X=..o Y=..o
Area: ..cm2
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10 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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12) Find x and give reasons. (4 Marks)
X= Reason=
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11 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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13) Find the volume of a cylinder where: (4 Marks)
a) radius 3.7 cm, height 10.51 cm.
c)diameter 15.7cm, height 21.7 cm..
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12 | T h e B r i t i s h S c h o o l i n C o l o m b o | T U R N
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14) The pillars at the front of a house are all of same volume.
The
diameter of each pillar is 2.90 m. The height of each is 15 m.
Find the
volume of the all the pillars combined, if the number of pillars
there are
can be found by solving the following equation: (3 Marks)
4x + 143 = 65x + 14 99.08
15) Find the area of the black area on the figure below.
Considering the
shape is a cube, take the length as 15 cm. (2 Marks)
.
.
END OF TEST TOTAL MARKS: 50
