Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd
Calculator
We can use a calculator to help us do addition,
subtraction, multiplication and division operations.
Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd
Calculator
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Centre of rotation
A shape with rotational symmetry is rotated about
its centre of rotation.
Example:
The shape is rotated about the black dot. The black
dot is the centre of rotation.
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Centre of rotation
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Decimal point
A decimal point separates the whole number part
from the fraction part of the number.
Examples:
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Decimal point
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Decreasing order
Decreasing order means from the greatest to the
smallest.
Example:
The amounts of money are arranged in
decreasing order.
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Decreasing order
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Denominator
In a fraction, the denominator is the number below
the line.
Example:
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Denominator
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Divisible
A number is divisible by another number if it can
be divided exactly by that number without leaving
a remainder.
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Divisible
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Divisibility rule
We can use the divisibility rule to test if a number is
divisible by another number.
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Divisibility rule
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Equilateral
triangle
An equilateral triangle has 3 equal sides and 3
equal angles.
Example:
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Equilateral triangle
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Equivalent
fraction
Fractions that have different numerators and
denominators, but the same value.
Example:
3
5
6
and 10
are equivalent fractions. They both have
a value of 0.6.
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Equivalent fraction
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Equivalent ratio
Ratios that have different terms, but the same value.
Example:
If we multiply or divide the terms of a ratio by the same
number, we get an equivalent ratio.
4 : 3, 8 : 6 and 16 : 12 are equivalent ratios.
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Equivalent ratio
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Estimate
A reasonable guess of the actual number.
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Estimate
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Hundredths
10 hundredths = 1 tenth
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Hundredths
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Increasing order
Increasing order means from the smallest to the
greatest.
Example:
The temperatures are arranged in increasing order.
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Increasing order
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Isosceles triangle
An isosceles triangle has 2 equal sides and 2 equal
angles.
Example:
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Isosceles triangle
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Negative
number
A negative number is a number which is smaller
than zero.
Example:
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Negative number
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Number
sentence
Example:
‘68 – 13 + 21 = 76’ is a number sentence.
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Number sentence
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Numerator
In a fraction, the numerator is the number above
the line.
Example:
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Numerator
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One hundred
thousand
Example:
10 ten thousands = One hundred thousand or
100 000
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One hundred thousand
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One million
Example:
10 one hundred thousands = One million or
1 000 000
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One million
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Operations
Example:
Addition, subtraction, multiplication and division
are types of operations.
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Operations
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Parallel lines
Parallel lines are straight lines that are always the
same distance apart and will never meet.
Example:
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Parallel lines
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Perpendicular
lines
Perpendicular lines are straight lines that meet
each other at right angles.
Example:
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Perpendicular lines
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Positive number
A positive number is a number which is greater
than zero.
Example:
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Positive number
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Product
When we multiply numbers, the answer is called
the product.
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Product
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Quotient
When we divide a number by another number,
the answer we get is called the quotient.
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Quotient
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Ratio
A ratio is a comparison of quantities.
Example:
The ratio of the number of toadstools to the
number of dragonflies is 6 : 5.
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Ratio
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Reflective
symmetry
A polygon has reflective symmetry if one half of the
polygon is a mirror image of the other half.
Example:
This triangle has reflective symmetry.
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Reflective symmetry
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Remainder
Remainder is the amount that is left over when a
number is divided by another number.
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Remainder
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Right-angled
triangle
A right-angled triangle is a triangle with 1 right
angle.
Example:
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Right-angled triangle
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Rotate
Example:
We rotate the rectangle in a clockwise direction to
make one complete turn.
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Rotate
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Rotational
symmetry
A shape has rotational symmetry if it can fit exactly
onto itself more than once during a complete turn.
Example:
This square has rotational symmetry.
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Rotational symmetry
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Round to 1
decimal place
When we round a number to 1 decimal place,
we look at the digits in the hundredths place.
(a) If the digit < 5, we round it to the smaller tenth.
(b) If the digit > 5, we round it to the bigger tenth.
(c) If the digit = 5, we round it to the bigger tenth.
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Round to 1 decimal place
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Round to the
nearest whole
number
When we round a number to the nearest whole
number, we look at the digits in the tenths place.
(a) If the digit < 5, we round it to the smaller one.
(b) If the digit > 5, we round it to the bigger one.
(c) If the digit = 5, we round it to the bigger one.
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Round to the nearest whole number
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Scalene triangle
A scalene triangle is a triangle with 3 sides of 3
different lengths. It has no equal angles.
Example:
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Scalene triangle
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Simplest form
We get the simplest form of a ratio when we
cannot divide the terms further by any other
common factors, except 1.
Example:
4 : 3 is the ratio in its simplest form.
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Simplest form
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Tenths
10 tenths = 1 one
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Tenths
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Terms
The numbers in a ratio are known as terms.
Example:
The ratio of the number of toadstools to the
number of dragonflies is 6 : 5. The numbers 6 and 5
are terms.
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Terms