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AS & A2 (Whole Course) - All Questions - Casio fx-991EX
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- Theory Theory Revision
- AQA Qs AQA Qs
- Edexcel Qs Edexcel Qs
- OCR Qs OCR Qs
- OCR MEI Qs OCR MEI Qs
- fx-991EX Use of fx-991EX
- GeoGebra GeoGebra
- JsxGraph JsxGraph
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Jun 24 AS
P2 Q 3
Jun 24 AS
P2 Q 3
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Jun 24 A2
P2 Q 4
Jun 24 A2
P2 Q 4
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Jun 24 AS
P1 Q 8
Jun 24 AS
P1 Q 8
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Jun 23 AS
P2 Q 1
Jun 23 AS
P2 Q 1
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Jun 23 AS
P2 Q 4
Jun 23 AS
P2 Q 4
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Jun 23 A2
P1 Q 6
Jun 23 A2
P1 Q 6
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Jun 22 AS
P1 Q 1
Jun 22 AS
P1 Q 1
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Jun 22 A2
P2 Q 9
Jun 22 A2
P2 Q 9
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Nov 21 AS
P2 Q 6
Nov 21 AS
P2 Q 6
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Nov 21 A2
P2 Q 6
Nov 21 A2
P2 Q 6
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Nov 20 AS
P2 Q 8
Nov 20 AS
P2 Q 8
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Jun 19 A2
P1 Q 1
Jun 19 A2
P1 Q 1
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Jun 19 A2
P2 Q 2
Jun 19 A2
P2 Q 2
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Jun 19 AS
P2 Q 4
Jun 19 AS
P2 Q 4
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Jun 18 AS
P2 Q 3
Jun 18 AS
P2 Q 3
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Jun 18 A2
P3 Q 7
Jun 18 A2
P3 Q 7
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Jun 17 AS
P2 Q 3
Jun 17 AS
P2 Q 3
AQA 7356/2 Jun 2024 AS Exam Q. 3
4 marks in 4:30 min.
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AQA 7357/2 Jun 2024 A2 Exam Q. 4
3 marks in 3:36 min.
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AQA 7356/1 Jun 2024 AS Exam Q. 8
6 marks in 6:45 min.
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AQA 7356/2 Jun 2023 AS Exam Q. 1
1 mark in 1:08 min.
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AQA 7356/2 Jun 2023 AS Exam Q. 4
5 marks in 5:38 min.
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AQA 7357/1 Jun 2023 A2 Exam Q. 6
5 marks in 6:00 min.
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AQA 7356/1 Jun 2022 AS Exam Q. 1
1 mark in 1:08 min.
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AQA 7357/2 Jun 2022 A2 Exam Q. 9
4 marks in 4:48 min.
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AQA 7356/2 Nov 2021 AS Exam Q. 6
3 marks in 3:22 min.
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AQA 7357/2 Nov 2021 A2 Exam Q. 6
4 marks in 4:48 min.
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AQA 7356/2 Nov 2020 AS Exam Q. 8
6 marks in 6:45 min.
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AQA 7357/1 Jun 2019 A2 Exam Q. 1
1 mark in 1:12 min.
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AQA 7357/2 Jun 2019 A2 Exam Q. 2
1 mark in 1:12 min.
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AQA 7356/2 Jun 2019 AS Exam Q. 4
4 marks in 4:30 min.
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AQA 7356/2 Jun 2018 AS Exam Q. 3
2 marks in 2:15 min.
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AQA 7357/3 Jun 2018 A2 Exam Q. 7
5 marks in 6:00 min.
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AQA 7356/2 Jun 2017 AS Sample Exam Q. 3
2 marks in 2:15 min.
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Jun 25 AS
Q 10
Jun 25 AS
Q 10
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Jun 25 A2
P2 Q 3
Jun 25 A2
P2 Q 3
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Dec 24 AS
Q 9
Dec 24 AS
Q 9
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Jun 24 AS
Q 9
Jun 24 AS
Q 9
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May 24 AS
Q 12
May 24 AS
Q 12
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Jan 24 A2
P1 Q 1
Jan 24 A2
P1 Q 1
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Jun 23 A2
P2 Q 3
Jun 23 A2
P2 Q 3
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Jun 23 A2
P1 Q 6
Jun 23 A2
P1 Q 6
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Jun 23 AS
Q 9
Jun 23 AS
Q 9
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Apr 23 AS
Q 11
Apr 23 AS
Q 11
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Apr 23 AS
Q 6
Apr 23 AS
Q 6
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Jan 23 A2
P1 Q 4
Jan 23 A2
P1 Q 4
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Jun 22 A2
P2 Q 2
Jun 22 A2
P2 Q 2
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Jun 22 AS
Q 3
Jun 22 AS
Q 3
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Jun 22 AS
Q 9
Jun 22 AS
Q 9
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Dec 21 A2
P2 Q 15
Dec 21 A2
P2 Q 15
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Nov 21 A2
P2 Q 3
Nov 21 A2
P2 Q 3
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Oct 20 A2
P1 Q 2
Oct 20 A2
P1 Q 2
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Oct 20 A2
P2 Q 3
Oct 20 A2
P2 Q 3
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Oct 20 A2
P2 Q 5
Oct 20 A2
P2 Q 5
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Mar 20 A2
P2 Q 1
Mar 20 A2
P2 Q 1
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Mar 20 A2
P2 Q 12
Mar 20 A2
P2 Q 12
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Jun 19 A2
P1 Q 9
Jun 19 A2
P1 Q 9
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Jun 19 A2
P1 Q 9
Jun 19 A2
P1 Q 9
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Jun 18 AS
Q 5
Jun 18 AS
Q 5
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May 18 A2
P1 Q 5
May 18 A2
P1 Q 5
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May 18 AS
Q 9
May 18 AS
Q 9
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Jun 17 AS
Q 12
Jun 17 AS
Q 12
Edexcel 8MA0/01 Jun 2025 AS Exam Q. 10
5 marks in 6:00 min.
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Edexcel 9MA0/02 Jun 2025 A2 Exam Q. 3
2 marks in 2:24 min.
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Edexcel 8MA0/01 Dec 2024 AS Mock Q. 9
5 marks in 6:00 min.
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Edexcel 8MA0/01 Jun 2024 AS Exam Q. 9
5 marks in 6:00 min.
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Edexcel 8MA0/01 May 2024 AS Mock Q. 12
5 marks in 6:00 min.
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Edexcel 9MA0/01 Jan 2024 A2 Mock Q. 1
3 marks in 3:36 min.
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Edexcel 9MA0/02 Jun 2023 A2 Exam Q. 3
5 marks in 6:00 min.
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Edexcel 9MA0/01 Jun 2023 A2 Exam Q. 6
6 marks in 7:12 min.
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Edexcel 8MA0/01 Jun 2023 AS Exam Q. 9
5 marks in 6:00 min.
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Edexcel 8MA0/01 Apr 2023 AS Mock Q. 11
7 marks in 8:24 min.
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Edexcel 8MA0/01 Apr 2023 AS Mock Q. 6
3 marks in 3:36 min.
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Edexcel 9MA0/01 Jan 2023 A2 Mock Q. 4
4 marks in 4:48 min.
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Edexcel 9MA0/02 Jun 2022 A2 Exam Q. 2
4 marks in 4:48 min.
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Edexcel 8MA0/01 Jun 2022 AS Mock Q. 3
3 marks in 3:36 min.
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Edexcel 8MA0/01 Jun 2022 AS Exam Q. 9
6 marks in 7:12 min.
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Edexcel 9MA0/02 Dec 2021 A2 Mock Q. 15
5 marks in 6:00 min.
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Edexcel 9MA0/02 Nov 2021 A2 Exam Q. 3
3 marks in 3:36 min.
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Edexcel 9MA0/01 Oct 2020 A2 Exam Q. 2
3 marks in 3:36 min.
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Edexcel 9MA0/02 Oct 2020 A2 Exam Q. 3
5 marks in 6:00 min.
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Edexcel 9MA0/02 Oct 2020 A2 Exam Q. 5
4 marks in 4:48 min.
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Edexcel 9MA0/02 Mar 2020 A2 Mock Q. 1
5 marks in 6:00 min.
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Edexcel 9MA0/02 Mar 2020 A2 Mock Q. 12
8 marks in 9:36 min.
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Edexcel 9MA0/01 Jun 2019 A2 Exam Q. 9
5 marks in 6:00 min.
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Edexcel 9MA0/01 Jun 2019 A2 Shadow Exam Q. 9
5 marks in 6:00 min.
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Edexcel 8MA0/01 Jun 2018 AS Exam Q. 5
5 marks in 6:00 min.
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Edexcel 9MA0/01 May 2018 A2 Mock Q. 5
10 marks in 12:00 min.
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Edexcel 8MA0/01 May 2018 AS Mock Q. 9
6 marks in 7:12 min.
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Edexcel 8MA0/01 Jun 2017 AS Sample Exam Q. 12
4 marks in 4:48 min.
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Jun 24 AS
P1 Q 1
Jun 24 AS
P1 Q 1
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Jun 23 A2
P3 Q 1
Jun 23 A2
P3 Q 1
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Jun 23 AS
P2 Q 5 b
Jun 23 AS
P2 Q 5 b
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Jun 22 A2
P1 Q 5 b
Jun 22 A2
P1 Q 5 b
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Jun 22 AS
P2 Q 6
Jun 22 AS
P2 Q 6
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Nov 21 AS
P1 Q 6
Nov 21 AS
P1 Q 6
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Nov 20 AS
P1 Q 6 bc
Nov 20 AS
P1 Q 6 bc
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Jun 19 AS
P2 Q 8
Jun 19 AS
P2 Q 8
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Jun 17 A2
P1 Q 5
Jun 17 A2
P1 Q 5
OCR H230/01 Jun 2024 AS Exam Q. 1
3 marks in 3:36 min.
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OCR H240/03 Jun 2023 A2 Exam Q. 1
3 marks in 3:36 min.
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OCR H230/02 Jun 2023 AS Exam Q. 5 b
3 marks in 3:36 min.
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OCR H240/01 Jun 2022 A2 Exam Q. 5 b
4 marks in 4:48 min.
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OCR H230/02 Jun 2022 AS Exam Q. 6
12 marks in 14:24 min.
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OCR H230/01 Nov 2021 AS Exam Q. 6
3 marks in 3:36 min.
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OCR H230/01 Nov 2020 AS Exam Q. 6 bc
9 marks in 10:48 min.
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OCR H230/02 Jun 2019 AS Exam Q. 8
8 marks in 9:36 min.
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OCR H240/01 Jun 2017 A2 Sample Exam Q. 5
4 marks in 4:48 min.
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Jun 24 A2
P1 Q 5
Jun 24 A2
P1 Q 5
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Jun 22 A2
P2 Q 3
Jun 22 A2
P2 Q 3
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Nov 20 AS
P1 Q 11
Nov 20 AS
P1 Q 11
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Jun 19 A2
P3 Q 7
Jun 19 A2
P3 Q 7
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Jun 18 AS
P2 Q 1
Jun 18 AS
P2 Q 1
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Jun 17 AS
P2 Q 2
Jun 17 AS
P2 Q 2
OCR MEI H640/01 Jun 2024 A2 Exam Q. 5
5 marks in 5:60 min.
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OCR MEI H640/02 Jun 2022 A2 Exam Q. 3
6 marks in 7:12 min.
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OCR MEI H630/01 Nov 2020 AS Exam Q. 11
9 marks in 11:34 min.
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OCR MEI H640/03 Jun 2019 A2 Exam Q. 7
4 marks in 6:24 min.
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OCR MEI H630/02 Jun 2018 AS Exam Q. 1
2 marks in 2:34 min.
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OCR MEI H630/02 Jun 2017 AS Sample Exam Q. 2
4 marks in 5:09 min.
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Using exponential functions
Using logarithms to any base
Explore relationship between exponential functions and their derivatives
Exponential Graphs: ${a^x}$
The graph of $\color{blue}{ f(x) = {a^x} }$ is shown in blue,
together with its tangent and gradient at a sample point in red.
By considering the gradient at x = 0, 1, 2, 3, can you predict what the gradient function of $\color{blue}{ f(x) = {a^x} }$ is?
By considering the gradient at x = 0, 1, 2, 3, can you predict what the gradient function of $\color{blue}{ f(x) = {a^x} }$ is?
Gradients of ${a^x}$ and ${e^x}$
Compare the graph of \(\color{blue}{ f(x) = {a^x} }\) with the graph of its gradient function, \(\color{green}{ f'(x) }\).
Adjust the value of a till the the two curves coincide.
Adjust the value of a till the the two curves coincide.