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Year 1 1 mocks
Maths
Maths theory - general
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Cards (34)
How can the expression
x
2
+
x^2 +
x
2
+
8
x
+
8x +
8
x
+
18
18
18
be rewritten in the form of
(
x
+
a
)
2
+
(x+a)^2 +
(
x
+
a
)
2
+
b
b
b
?
(
x
+
4
)
2
+
(x+4)^2 +
(
x
+
4
)
2
+
2
2
2
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What is the value of
a
a
a
when rewriting
x
2
+
x^2 +
x
2
+
8
x
+
8x +
8
x
+
18
18
18
?
4
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How can the expression
x
2
−
6
x
−
7
x^2 - 6x - 7
x
2
−
6
x
−
7
be rewritten in the form of
(
x
+
a
)
2
+
(x+a)^2 +
(
x
+
a
)
2
+
b
b
b
?
(
x
−
3
)
2
−
16
(x-3)^2 - 16
(
x
−
3
)
2
−
16
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What is the value of
a
a
a
when rewriting
x
2
−
6
x
−
7
x^2 - 6x - 7
x
2
−
6
x
−
7
?
3
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How can the expression
x
2
−
3
x
+
x^2 - 3x +
x
2
−
3
x
+
1
1
1
be rewritten in the form of
(
x
+
a
)
2
+
(x+a)^2 +
(
x
+
a
)
2
+
b
b
b
?
(
x
−
3
2
)
2
−
5
4
(x - \frac{3}{2})^2 - \frac{5}{4}
(
x
−
2
3
)
2
−
4
5
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What is the value of
a
a
a
when rewriting
x
2
−
3
x
+
x^2 - 3x +
x
2
−
3
x
+
1
1
1
?
\frac{3}{2}
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What are the steps to solve the quadratic equation
x
2
+
x^2 +
x
2
+
6
x
+
6x +
6
x
+
1
=
1 =
1
=
0
0
0
?
Set
(
x
+
3
)
2
−
8
=
(x+3)^2 - 8 =
(
x
+
3
)
2
−
8
=
0
0
0
and solve for
x
x
x
.
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What is the formula for a straight line?
y
=
y =
y
=
m
x
+
mx +
m
x
+
c
c
c
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What does
m
m
m
represent in the straight line formula?
Gradient
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What does
c
c
c
represent in the straight line formula?
intercept
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What are the three important rules for bearings?
Always measure the angle starting from
North
Always measure the angle clockwise from North
Bearings are always
three digits
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What is the formula for arc length?
Arc length
=
\text{Arc length} =
Arc length
=
θ
360
×
2
π
r
\frac{\theta}{360} \times 2\pi r
360
θ
×
2
π
r
View source
What is the formula for the area of a sector?
Area of a Sector
=
\text{Area of a Sector} =
Area of a Sector
=
θ
360
×
π
r
2
\frac{\theta}{360} \times \pi r^2
360
θ
×
π
r
2
View source
What is the first circle theorem?
The angle subtended at the circumference in a semi-circle is
90 degrees
.
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What is the second circle theorem?
The angle
subtended
at the center of a circle is twice the angle subtended at the
circumference
via the same arc.
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What is the third circle theorem?
Angles at the
circumference
via the same
arc
are equal.
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What is the fourth circle theorem?
Opposite angles in a
cyclic quadrilateral
are supplementary.
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What is the formula for the area of a parallelogram?
A
=
A =
A
=
b
×
h
b \times h
b
×
h
View source
What is the formula for the area of a trapezium?
A
=
A =
A
=
(
a
+
b
)
2
×
h
\frac{(a+b)}{2} \times h
2
(
a
+
b
)
×
h
View source
What is the formula for circumference?
C
=
C =
C
=
2
π
r
or
C
=
2\pi r \text{ or } C =
2
π
r
or
C
=
π
d
\pi d
π
d
View source
What is the formula for the area of a circle?
A
=
A =
A
=
π
r
2
\pi r^2
π
r
2
View source
What is the formula for the volume of a prism?
Volume
=
\text{Volume} =
Volume
=
cross-sectional area
×
height
\text{cross-sectional area} \times \text{height}
cross-sectional area
×
height
View source
What is the formula for the volume of a cylinder?
V
=
V =
V
=
π
r
2
h
\pi r^2 h
π
r
2
h
View source
What is the formula for the volume of a pyramid?
V
=
V =
V
=
1
3
×
area of base
×
height
\frac{1}{3} \times \text{area of base} \times \text{height}
3
1
×
area of base
×
height
View source
What is Pythagoras' theorem?
a
2
+
a^2 +
a
2
+
b
2
=
b^2 =
b
2
=
c
2
c^2
c
2
View source
What is the sine rule in trigonometry?
It relates the lengths of sides of a
triangle
to the sines of its angles.
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What is the cosine rule in trigonometry?
a
2
=
a^2 =
a
2
=
b
2
+
b^2 +
b
2
+
c
2
−
2
b
c
cos
A
c^2 - 2bc \cos A
c
2
−
2
b
c
cos
A
View source
What is the formula for the area of a triangle using trigonometry?
A
=
A =
A
=
1
2
a
b
sin
C
\frac{1}{2} ab \sin C
2
1
ab
sin
C
View source
What is the quadratic formula?
x
=
x =
x
=
−
b
±
b
2
−
4
a
c
2
a
\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
2
a
−
b
±
b
2
−
4
a
c
View source
What is the probability rule for the union of two events A and B?
P
(
A
or
B
)
=
P(A \text{ or } B) =
P
(
A
or
B
)
=
P
(
A
)
+
P(A) +
P
(
A
)
+
P
(
B
)
−
P
(
A
and
B
)
P(B) - P(A \text{ and } B)
P
(
B
)
−
P
(
A
and
B
)
View source
What is the formula for the curved surface area of a cone?
Curved SA
=
\text{Curved SA} =
Curved SA
=
π
r
l
\pi r l
π
r
l
View source
What is the formula for the volume of a cone?
V
=
V =
V
=
1
3
π
r
2
h
\frac{1}{3} \pi r^2 h
3
1
π
r
2
h
View source
What is the formula for the surface area of a sphere?
S
A
=
SA =
S
A
=
4
π
r
2
4\pi r^2
4
π
r
2
View source
What is the formula for the volume of a sphere?
V
=
V =
V
=
4
3
π
r
3
\frac{4}{3} \pi r^3
3
4
π
r
3
View source
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