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53 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Solving quadratics by factorising
25 questions
Lesson
Not started
Mark as done
(a)
Factorise
x
2
+
3
x
−
28
x^2 + 3x - 28
x
2
+
3
x
−
28
(b)
Hence solve
x
2
+
3
x
−
28
=
0
x^2 + 3x - 28 = 0
x
2
+
3
x
−
28
=
0
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Level 3
3 marks
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→
Mark as done
(a)
Factorise
x
2
−
9
x
+
20
x^2 - 9x + 20
x
2
−
9
x
+
20
(b)
Hence solve
x
2
−
9
x
+
20
=
0
x^2 - 9x + 20 = 0
x
2
−
9
x
+
20
=
0
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Level 3
2 marks
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→
Mark as done
Solve
x
2
−
49
=
0
x^2 - 49 = 0
x
2
−
49
=
0
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Level 3
2 marks
Start
→
Mark as done
Solve
x
2
+
3
x
−
10
=
0
x^2 + 3x - 10 = 0
x
2
+
3
x
−
10
=
0
(3 marks)
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Level 3
3 marks
Start
→
Mark as done
Solve
x
2
−
5
x
−
24
=
0
x^2 - 5x - 24 = 0
x
2
−
5
x
−
24
=
0
(3 marks)
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Level 3
3 marks
Start
→
Mark as done
(a)
Solve
2
x
2
+
7
x
−
4
=
0
2x^2 + 7x - 4 = 0
2
x
2
+
7
x
−
4
=
0
[3]
(b)
Write down the
x
x
x
-coordinate of the turning point of the graph of
y
=
2
x
2
+
7
x
−
4
y = 2x^2 + 7x - 4
y
=
2
x
2
+
7
x
−
4
. [1]
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Level 3
4 marks
Start
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The quadratic formula
14 questions
Lesson
Not started
Mark as done
Solve
x
2
+
4
x
−
9
=
0
x^2 + 4x - 9 = 0
x
2
+
4
x
−
9
=
0
Give your answers correct to 2 decimal places.
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Level 3
3 marks
Start
→
Mark as done
Solve
x
2
−
6
x
+
2
=
0
x^2 - 6x + 2 = 0
x
2
−
6
x
+
2
=
0
Give your answers correct to 2 decimal places.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
Solve
2
x
2
−
7
x
+
4
=
0
2x^2 - 7x + 4 = 0
2
x
2
−
7
x
+
4
=
0
Give your solutions correct to 2 decimal places. (3 marks)
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●●
Level 3
3 marks
Start
→
Mark as done
Solve
3
x
2
+
5
x
−
4
=
0
3x^2 + 5x - 4 = 0
3
x
2
+
5
x
−
4
=
0
Give your solutions correct to 2 decimal places. (3 marks)
●●●
●●
Level 3
3 marks
Start
→
Mark as done
(a)
Solve
3
x
2
+
4
x
−
5
=
0
3x^2 + 4x - 5 = 0
3
x
2
+
4
x
−
5
=
0
. Give your solutions correct to 3 decimal places. [3]
(b)
Write down the coordinates of the point where the graph of
y
=
3
x
2
+
4
x
−
5
y = 3x^2 + 4x - 5
y
=
3
x
2
+
4
x
−
5
crosses the
y
y
y
-axis. [1]
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Level 3
4 marks
Start
→
Completing the square
14 questions
Lesson
Not started
Mark as done
(a)
Write
x
2
+
6
x
+
2
x^2 + 6x + 2
x
2
+
6
x
+
2
in the form
(
x
+
a
)
2
+
b
(x + a)^2 + b
(
x
+
a
)
2
+
b
(b)
Write down the minimum value of
x
2
+
6
x
+
2
x^2 + 6x + 2
x
2
+
6
x
+
2
●●●
●●
Level 3
3 marks
Start
→
Mark as done
(a)
Write
x
2
+
4
x
+
9
x^2 + 4x + 9
x
2
+
4
x
+
9
in the form
(
x
+
a
)
2
+
b
(x + a)^2 + b
(
x
+
a
)
2
+
b
(b)
Write down the minimum value of
x
2
+
4
x
+
9
x^2 + 4x + 9
x
2
+
4
x
+
9
●●●
●●
Level 3
3 marks
Start
→
Mark as done
(a)
Write
x
2
−
6
x
+
2
x^2 - 6x + 2
x
2
−
6
x
+
2
in the form
(
x
−
a
)
2
−
b
(x - a)^2 - b
(
x
−
a
)
2
−
b
(2 marks)
(b)
Hence write down the coordinates of the turning point of the graph of
y
=
x
2
−
6
x
+
2
y = x^2 - 6x + 2
y
=
x
2
−
6
x
+
2
(1 mark)
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Level 3
3 marks
Start
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