igureMaths
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44 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Solving linear equations
15 questions
Lesson
Not started
Mark as done
Solve
12
−
2
x
=
5
12 - 2x = 5
12
−
2
x
=
5
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Level 4
2 marks
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→
Mark as done
Solve
7
x
−
4
=
2
(
x
+
8
)
7x - 4 = 2(x + 8)
7
x
−
4
=
2
(
x
+
8
)
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Level 4
3 marks
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→
Mark as done
Solve
3
(
2
x
−
1
)
−
2
(
x
−
4
)
=
25
3(2x - 1) - 2(x - 4) = 25
3
(
2
x
−
1
)
−
2
(
x
−
4
)
=
25
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Level 4
3 marks
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→
Mark as done
Solve
5
(
x
−
2
)
=
3
(
x
+
4
)
5(x - 2) = 3(x + 4)
5
(
x
−
2
)
=
3
(
x
+
4
)
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Level 4
3 marks
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→
Mark as done
Solve
4
(
2
x
+
1
)
−
3
(
x
−
2
)
=
20
4(2x + 1) - 3(x - 2) = 20
4
(
2
x
+
1
)
−
3
(
x
−
2
)
=
20
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Level 4
3 marks
Start
→
Equations with fractions
14 questions
Lesson
Not started
Mark as done
Solve
2
x
+
1
3
=
x
−
2
4
\dfrac{2x + 1}{3} = \dfrac{x - 2}{4}
3
2
x
+
1
=
4
x
−
2
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Level 4
3 marks
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→
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Solve
x
4
−
x
6
=
2
\dfrac{x}{4} - \dfrac{x}{6} = 2
4
x
−
6
x
=
2
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Level 4
2 marks
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→
Mark as done
Solve
x
+
1
2
+
x
−
2
3
=
4
\dfrac{x + 1}{2} + \dfrac{x - 2}{3} = 4
2
x
+
1
+
3
x
−
2
=
4
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●
Level 4
3 marks
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→
Mark as done
Solve
2
x
5
+
x
2
=
9
\dfrac{2x}{5} + \dfrac{x}{2} = 9
5
2
x
+
2
x
=
9
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●
Level 4
3 marks
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→
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Solve
2
x
−
3
5
=
x
−
3
\dfrac{2x - 3}{5} = x - 3
5
2
x
−
3
=
x
−
3
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Level 4
3 marks
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Forming equations from problems
17 questions
Lesson
Not started
Mark as done
The angles of a triangle are
x
°
x°
x
°
,
(
2
x
+
15
)
°
(2x + 15)°
(
2
x
+
15
)
°
and
(
3
x
−
9
)
°
(3x - 9)°
(
3
x
−
9
)
°
.
x°
(2x + 15)°
(3x − 9)°
Diagram NOT accurately drawn
Work out the size of the
largest
angle.
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Level 4
4 marks
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→
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Kate is
x
x
x
years old.
Dan is twice as old as Kate.
Sam is 4 years younger than Kate.
The total of their three ages is 44 years.
Work out
Dan's
age.
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●
Level 4
3 marks
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→
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The sum of three consecutive
odd
numbers is 111.
Find the three numbers.
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●
Level 4
3 marks
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→
Mark as done
Three angles lie on a straight line. Their sizes are
2
x
°
2x°
2
x
°
,
(
3
x
+
10
)
°
(3x + 10)°
(
3
x
+
10
)
°
and
(
x
+
20
)
°
(x + 20)°
(
x
+
20
)
°
.
Work out the size of the
largest
angle.
●●●●
●
Level 4
3 marks
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→
Mark as done
The sum of three consecutive
even
numbers is
96
96
96
.
Find the three numbers.
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●
Level 4
3 marks
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→
Mark as done
The diagram shows two right-angled triangles.
2x + 3
15
10
x + 3
a
b
All lengths are measured in centimetres.
Given that
sin
a
=
tan
b
\sin a = \tan b
sin
a
=
tan
b
work out the value of
x
x
x
.
(3 marks)
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●
Level 4
3 marks
Start
→
Mark as done
Here is a pentagon.
104°
127°
141°
P
Q
R
S
T
Angle
P
T
S
=
3
×
PTS = 3 \times
P
T
S
=
3
×
angle
P
Q
R
PQR
P
QR
Work out the size of angle
P
T
S
PTS
P
T
S
.
You must show all your working.
(4 marks)
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Level 4
4 marks
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