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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
x
+
7
=
12
x + 7 = 12
x
+
7
=
12
●
●●●●
Level 1
1 mark
Start
→
Mark as done
Solve
3
x
−
4
=
11
3x - 4 = 11
3
x
−
4
=
11
●
●●●●
Level 1
2 marks
Start
→
Mark as done
Solve
2
x
+
9
=
25
2x + 9 = 25
2
x
+
9
=
25
●●
●●●
Level 2
2 marks
Start
→
Mark as done
Solve
5
(
x
−
2
)
=
3
x
+
8
5(x - 2) = 3x + 8
5
(
x
−
2
)
=
3
x
+
8
(3 marks)
●●
●●●
Level 2
3 marks
Start
→
Mark as done
A rectangle has length
(
2
x
+
3
)
(2x + 3)
(
2
x
+
3
)
cm and width
(
x
−
1
)
(x - 1)
(
x
−
1
)
cm.
The perimeter of the rectangle is
46
46
46
cm.
Work out the value of
x
x
x
. (3 marks)
●●
●●●
Level 2
3 marks
Start
→
Mark as done
(a)
Solve
2
(
3
x
+
1
)
=
4
x
+
9
2(3x + 1) = 4x + 9
2
(
3
x
+
1
)
=
4
x
+
9
[3]
(b)
Solve
x
+
3
2
=
5
\dfrac{x + 3}{2} = 5
2
x
+
3
=
5
[1]
●●
●●●
Level 2
4 marks
Start
→
Mark as done
Solve
(a)
3
x
−
7
=
11
3x - 7 = 11
3
x
−
7
=
11
(b)
4
(
x
+
3
)
=
30
4(x + 3) = 30
4
(
x
+
3
)
=
30
●●●
●●
Level 3
4 marks
Start
→
Mark as done
Solve
5
x
+
3
=
2
x
+
18
5x + 3 = 2x + 18
5
x
+
3
=
2
x
+
18
●●●
●●
Level 3
2 marks
Start
→
Mark as done
Solve
9
−
4
x
=
2
x
−
3
9 - 4x = 2x - 3
9
−
4
x
=
2
x
−
3
●●●
●●
Level 3
3 marks
Start
→
Mark as done
Solve
12
−
2
x
=
5
12 - 2x = 5
12
−
2
x
=
5
●●●●
●
Level 4
2 marks
Start
→
Mark as done
Solve
7
x
−
4
=
2
(
x
+
8
)
7x - 4 = 2(x + 8)
7
x
−
4
=
2
(
x
+
8
)
●●●●
●
Level 4
3 marks
Start
→
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
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Solve
5
(
x
−
2
)
=
3
(
x
+
4
)
5(x - 2) = 3(x + 4)
5
(
x
−
2
)
=
3
(
x
+
4
)
●●●●
●
Level 4
3 marks
Start
→
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
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Solve
3
(
4
−
x
)
=
5
x
+
26
3(4 - x) = 5x + 26
3
(
4
−
x
)
=
5
x
+
26
●●●●●
Level 5
3 marks
Start
→
Equations with fractions
14 questions
Lesson
Not started
Mark as done
Solve
x
4
=
3
\dfrac{x}{4} = 3
4
x
=
3
●
●●●●
Level 1
1 mark
Start
→
Mark as done
Solve
x
+
2
3
=
5
\dfrac{x + 2}{3} = 5
3
x
+
2
=
5
●
●●●●
Level 1
2 marks
Start
→
Mark as done
Solve
x
3
−
2
=
4
\dfrac{x}{3} - 2 = 4
3
x
−
2
=
4
●●
●●●
Level 2
2 marks
Start
→
Mark as done
(a)
Solve
2
(
3
x
+
1
)
=
4
x
+
9
2(3x + 1) = 4x + 9
2
(
3
x
+
1
)
=
4
x
+
9
[3]
(b)
Solve
x
+
3
2
=
5
\dfrac{x + 3}{2} = 5
2
x
+
3
=
5
[1]
●●
●●●
Level 2
4 marks
Start
→
Mark as done
Solve
x
5
+
3
=
10
\dfrac{x}{5} + 3 = 10
5
x
+
3
=
10
●●●
●●
Level 3
2 marks
Start
→
Mark as done
Solve
3
x
−
2
4
=
7
\dfrac{3x - 2}{4} = 7
4
3
x
−
2
=
7
●●●
●●
Level 3
2 marks
Start
→
Mark as done
Solve
15
x
=
3
\dfrac{15}{x} = 3
x
15
=
3
●●●
●●
Level 3
2 marks
Start
→
Mark as done
Solve
2
x
+
1
3
−
x
−
2
4
=
2
\dfrac{2x + 1}{3} - \dfrac{x - 2}{4} = 2
3
2
x
+
1
−
4
x
−
2
=
2
(3 marks)
●●●
●●
Level 3
3 marks
Start
→
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
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Solve
x
4
−
x
6
=
2
\dfrac{x}{4} - \dfrac{x}{6} = 2
4
x
−
6
x
=
2
●●●●
●
Level 4
2 marks
Start
→
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
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Solve
2
x
5
+
x
2
=
9
\dfrac{2x}{5} + \dfrac{x}{2} = 9
5
2
x
+
2
x
=
9
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Solve
2
x
−
3
5
=
x
−
3
\dfrac{2x - 3}{5} = x - 3
5
2
x
−
3
=
x
−
3
●●●●
●
Level 4
3 marks
Start
→
Mark as done
Solve
x
+
2
3
−
x
−
1
4
=
2
\dfrac{x + 2}{3} - \dfrac{x - 1}{4} = 2
3
x
+
2
−
4
x
−
1
=
2
●●●●●
Level 5
3 marks
Start
→
Forming equations from problems
17 questions
Lesson
Not started
Mark as done
I think of a number, multiply it by
3
3
3
and add
5
5
5
. The answer is
23
23
23
. Write an equation and find the number.
●
●●●●
Level 1
2 marks
Start
→
Mark as done
The perimeter of this rectangle is
30
30
30
cm. The length is
x
+
4
x + 4
x
+
4
cm and the width is
x
x
x
cm. Find the value of
x
x
x
.
●●
●●●
Level 2
2 marks
Start
→
Mark as done
A rectangle has length
(
2
x
+
3
)
(2x + 3)
(
2
x
+
3
)
cm and width
(
x
−
1
)
(x - 1)
(
x
−
1
)
cm.
The perimeter of the rectangle is
46
46
46
cm.
Work out the value of
x
x
x
. (3 marks)
●●
●●●
Level 2
3 marks
Start
→
Mark as done
A rectangle has length
(
2
x
+
3
)
(2x + 3)
(
2
x
+
3
)
cm and width
(
x
−
1
)
(x - 1)
(
x
−
1
)
cm.
(2x + 3) cm
(x − 1) cm
Diagram NOT accurately drawn
The perimeter of the rectangle is 34 cm.
(a)
Find the value of
x
x
x
.
(b)
Find the length and the width of the rectangle.
●●●
●●
Level 3
4 marks
Start
→
Mark as done
I think of a number, multiply it by 4, then subtract 5.
The result is the same as three times the sum of my number and 2.
What number am I thinking of?
●●●
●●
Level 3
3 marks
Start
→
Mark as done
An isosceles triangle has two sides of length
x
x
x
cm and one side of length
(
x
+
5
)
(x + 5)
(
x
+
5
)
cm.
The perimeter of the triangle is
35
35
35
cm.
Work out the length of each side.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
Mia has £
m
m
m
.
Noah has £
7
7
7
more than Mia.
Together they have £
43
43
43
.
How much money does Noah have?
●●●
●●
Level 3
3 marks
Start
→
Mark as done
The diagram shows a right-angled triangle and a rectangle.
2x + 7
6
2x + 1
5
All measurements are in centimetres.
The area of the rectangle is
12
12
12
cm² greater than the area of the triangle.
Work out the value of
x
x
x
.
(4 marks)
●●●
●●
Level 3
4 marks
Start
→
Mark as done
P
Q
R
S
PQRS
P
QR
S
is a quadrilateral.
4x − 5
3x + 10
5x − 20
3x
P
Q
R
S
The angles are measured in degrees.
Show that
P
Q
R
S
PQRS
P
QR
S
is a trapezium.
(4 marks)
●●●
●●
Level 3
4 marks
Start
→
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.
●●●●
●
Level 4
4 marks
Start
→
Mark as done
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.
●●●●
●
Level 4
3 marks
Start
→
Mark as done
The sum of three consecutive
odd
numbers is 111.
Find the three numbers.
●●●●
●
Level 4
3 marks
Start
→
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
Start
→
Mark as done
The sum of three consecutive
even
numbers is
96
96
96
.
Find the three numbers.
●●●●
●
Level 4
3 marks
Start
→
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)
●●●●
●
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)
●●●●
●
Level 4
4 marks
Start
→
Mark as done
Priya is
x
x
x
years old. Her mother is four times as old as Priya.
In
5
5
5
years' time, her mother will be
three
times as old as Priya will be.
(a)
Use this information to form an equation in
x
x
x
.
(b)
Solve your equation to find the mother's age
now
.
●●●●●
Level 5
4 marks
Start
→