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44 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Simplifying expressions
12 questions
Lesson
Not started
Mark as done
Simplify fully
18
x
5
y
2
6
x
2
y
\dfrac{18x^5y^2}{6x^2y}
6
x
2
y
18
x
5
y
2
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Level 4
2 marks
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→
Mark as done
A rectangle has length
(
3
x
+
2
)
(3x + 2)
(
3
x
+
2
)
cm and width
(
2
x
−
1
)
(2x - 1)
(
2
x
−
1
)
cm.
(3x + 2) cm
(2x − 1) cm
Diagram NOT accurately drawn
Write an expression, in its simplest form, for the
perimeter
of the rectangle.
●●●●
●
Level 4
2 marks
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→
Mark as done
Simplify fully
24
m
6
n
3
8
m
2
n
3
\dfrac{24m^6n^3}{8m^2n^3}
8
m
2
n
3
24
m
6
n
3
●●●●
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Level 4
2 marks
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→
Mark as done
Simplify
(
5
c
4
)
2
×
2
c
(5c^4)^2 \times 2c
(
5
c
4
)
2
×
2
c
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Level 4
2 marks
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Expanding brackets
18 questions
Lesson
Not started
Mark as done
Expand and simplify
(
2
x
−
5
)
2
(2x - 5)^2
(
2
x
−
5
)
2
●●●●
●
Level 4
2 marks
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→
Mark as done
Expand and simplify
(
3
x
+
2
)
(
2
x
−
5
)
(3x + 2)(2x - 5)
(
3
x
+
2
)
(
2
x
−
5
)
●●●●
●
Level 4
2 marks
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→
Mark as done
Expand and simplify
(
3
x
+
4
)
2
(3x + 4)^2
(
3
x
+
4
)
2
●●●●
●
Level 4
2 marks
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→
Mark as done
Expand and simplify
(
4
x
−
3
)
(
2
x
+
5
)
(4x - 3)(2x + 5)
(
4
x
−
3
)
(
2
x
+
5
)
●●●●
●
Level 4
2 marks
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→
Mark as done
Show that
(
3
x
+
2
)
(
x
−
4
)
(
x
+
6
)
(3x + 2)(x - 4)(x + 6)
(
3
x
+
2
)
(
x
−
4
)
(
x
+
6
)
can be written in the form
a
x
3
+
b
x
2
+
c
x
+
d
ax^3 + bx^2 + cx + d
a
x
3
+
b
x
2
+
c
x
+
d
where
a
a
a
,
b
b
b
,
c
c
c
and
d
d
d
are integers.
(3 marks)
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●
Level 4
3 marks
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→
Mark as done
Expand and simplify
(
4
x
−
3
)
(
2
x
+
1
)
(
x
−
3
)
(4x - 3)(2x + 1)(x - 3)
(
4
x
−
3
)
(
2
x
+
1
)
(
x
−
3
)
(3 marks)
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●
Level 4
3 marks
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→
Factorising with common factors
15 questions
Lesson
Not started
Mark as done
Factorise
fully
12
x
2
y
−
18
x
y
2
12x^2y - 18xy^2
12
x
2
y
−
18
x
y
2
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●
Level 4
2 marks
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→
Mark as done
Factorise
(a)
y
2
−
49
y^2 - 49
y
2
−
49
(b)
4
a
2
−
25
b
2
4a^2 - 25b^2
4
a
2
−
25
b
2
●●●●
●
Level 4
3 marks
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→
Mark as done
Mia says that
x
2
−
9
x^2 - 9
x
2
−
9
factorises as
(
x
−
3
)
2
(x - 3)^2
(
x
−
3
)
2
.
Explain why Mia is wrong, and factorise
x
2
−
9
x^2 - 9
x
2
−
9
correctly.
●●●●
●
Level 4
2 marks
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→
Mark as done
Factorise
fully
20
a
3
b
2
−
15
a
2
b
4
20a^3b^2 - 15a^2b^4
20
a
3
b
2
−
15
a
2
b
4
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●
Level 4
2 marks
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→
Mark as done
Factorise
81
−
16
m
2
81 - 16m^2
81
−
16
m
2
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●
Level 4
2 marks
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→