igureMaths
Log in
Start free
←
Algebraic manipulation
Get dealt questions instead
→
Browse Algebraic manipulation
44 questions at your level
Difficulty
All
Level 1
Level 2
Level 3
Level 4
Level 5
Simplifying expressions
12 questions
Lesson
Not started
Mark as done
Simplify fully
(
3
a
2
b
)
3
×
2
a
b
2
6
a
4
b
3
\dfrac{(3a^2b)^3 \times 2ab^2}{6a^4b^3}
6
a
4
b
3
(
3
a
2
b
)
3
×
2
a
b
2
●●●●●
Level 5
3 marks
Start
→
Mark as done
Simplify fully
(
2
x
y
2
)
4
8
x
3
y
5
×
3
x
2
y
\dfrac{(2xy^2)^4}{8x^3y^5} \times 3x^2y
8
x
3
y
5
(
2
x
y
2
)
4
×
3
x
2
y
●●●●●
Level 5
3 marks
Start
→
Expanding brackets
18 questions
Lesson
Not started
Mark as done
Expand and simplify
(
x
+
1
)
(
x
−
2
)
(
x
+
4
)
(x + 1)(x - 2)(x + 4)
(
x
+
1
)
(
x
−
2
)
(
x
+
4
)
●●●●●
Level 5
3 marks
Start
→
Mark as done
Expand and simplify
(
x
+
3
)
(
x
−
1
)
(
x
−
5
)
(x + 3)(x - 1)(x - 5)
(
x
+
3
)
(
x
−
1
)
(
x
−
5
)
●●●●●
Level 5
3 marks
Start
→
Factorising with common factors
15 questions
Lesson
Not started
Mark as done
Show that
(
2
n
+
1
)
2
−
(
2
n
−
1
)
2
(2n + 1)^2 - (2n - 1)^2
(
2
n
+
1
)
2
−
(
2
n
−
1
)
2
is a multiple of 8 for every whole number
n
n
n
.
●●●●●
Level 5
3 marks
Start
→
Mark as done
Show that
(
3
n
+
2
)
2
−
(
3
n
−
2
)
2
(3n + 2)^2 - (3n - 2)^2
(
3
n
+
2
)
2
−
(
3
n
−
2
)
2
is a multiple of 24 for every whole number
n
n
n
.
●●●●●
Level 5
3 marks
Start
→