Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Discount
A discount is a decrease in the usual or original
price of an item.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Discount
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Kite
A kite has two pairs of equal sides. The equal sides
in each pair are next to each other. Only one pair of
opposite angles in a kite is equal.
Example:
PQRS is a kite.
SP = SR
PQ = RQ
p = q
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Kite
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Interest
An interest is usually given for depositing or
investing money in an account, such as a bank
account. It is usually a percentage of the original
amount.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Interest
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Original price
The original price of an item is the price before a
decrease or increase in the price.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Original price
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Parallelogram
The opposite sides in a parallelogram are equal and
parallel. The opposite angles in a parallelogram are
equal.
Example:
AB = DC
AB is parallel to DC.
and
AD = BC
AD is parallel to BC.
a = c and d = b
ABCD is a parallelogram.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Parallelogram
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Percent (%)
Percent means out of 100. We can also write % for
percent.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Percent (%)
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Polygons
Polygons are closed figures. Their sides are formed
by straight lines that do not cross one another.
Example:
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Polygons
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Proportion
Proportion is a comparison of the quantity of a part to
the quantity of a whole.
Example:
1 in every 4 tarts is a strawberry tart.
1
The proportion of strawberry tarts is of the total
4
number of tarts.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Proportion
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Quadrilateral
A quadrilateral has 4 straight sides and 4 vertices.
Example:
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Quadrilateral
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Ratio
A ratio is a comparison of quantities.
Example:
The ratio of the number of cupcakes to the number
of puddings is 6 : 5.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Ratio
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Reflection
When a polygon is reflected, each point of the original
polygon is at an equal and perpendicular distance from
the mirror line as its reflection. The size and shape of
the polygon after reflection is the same as the original
polygon.
Example:
Reflect the triangle
PQR in the line MN.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Reflection
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Rhombus
The opposite sides in a rhombus are parallel. All of its
four sides are equal. The opposite angles in a rhombus
are equal.
Example:
EFGH is a rhombus.
EF is parallel to HG.
EH is parallel to FG.
EF = FG = HG = FH
e = g
h = f
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Rhombus
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Rotation
When a polygon is rotated about one of its vertices, the
coordinates of that vertex remain the same. The size
and shape of the polygon after rotation is the same as
the original polygon.
Example:
Rotate the rectangle
ABCD 180 clockwise
about A.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Rotation
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Round to the
nearest
hundredth
When we round a number to the nearest
hundredth, we look at the digit in the thousandths
place.
(a) If the digit < 5, we round it to the smaller
hundredth.
(b) If the digit > 5, we round it to the bigger
hundredth.
(c) If the digit = 5, we round it to the bigger
hundredth.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Round to the nearest hundredth
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Round to 2
decimal places
Rounding to 2 decimal places is the same as
rounding to the nearest hundredth.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Round to 2 decimal places
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Sales tax
A sales tax is a government tax that we pay when
we buy some items or when we pay for a service.
In some countries, this tax can be known by other
names such as Goods and Services Tax (GST) or
Value Added Tax (VAT).
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Sales tax
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Selling price
The selling price of an item is the price that is paid
for the item.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Selling price
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Thousandth
When we divide one whole into 1000 equal parts,
each part is one thousandth of the whole.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Thousandth
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Transformation
An object has gone through a transformation if
there is a change in its position, shape or size.
Reflection, translation and rotation are examples of
some types of transformations.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Transformation
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Translation
When a polygon is translated, each point of the polygon
moves the same distance in the same direction. The size
and shape of the polygon after translation is the same
as the original polygon.
Example:
Translate the triangle
ABC 3 units to the right.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Translation
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Trapezium
A trapezium has one pair of parallel sides.
The parallel sides are opposite to each other.
Example:
KL is parallel
to NM.
KLMN is a trapezium.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Trapezium
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Usual price
The usual price of an item is the price before a
decrease or increase in the price.
Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd
Usual price