Year 13 · Standard topics · free

Year 13 pure maths booklets

Second-year pure maths: functions, trigonometry, differentiation, integration methods and differential equations. Answers and worked solutions are included.

51booklets
3,686questions
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A‑Level Maths:AQA Edexcel OCR OCR MEI WJEC Cambridge Edexcel International

A version without answers or worked solutions, for printing or practice.

Pure 23 booklets

Binomial series expansions
Exam questions★★–★★★★★
92 questions · 87 pages · 14 MB
Open booklet
Binomial series expansions
Practice
17 questions · 18 pages · 1.7 MB
Open booklet
Curve sketching
Exam questions★★–★★★★★
17 questions · 17 pages · 1.7 MB
Open booklet
Differentiation II
Exam questions★★–★★★★★
280 questions · 232 pages · 45 MB
Open booklet
Differentiation II
Practice★★–★★★★★
21 questions · 85 pages · 334 KB
Open booklet Questions only
Differentiation II, more
Exam questions★★–★★★★★
15 questions · 14 pages · 2.6 MB
Open booklet
Equations advanced skills
★★–★★★★★
101 questions · 75 pages · 16 MB
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Exponentials and logarithms
Exam questions★★–★★★★★
128 questions · 107 pages · 17 MB
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Exponentials and logarithms
Practice
15 questions · 16 pages · 2.0 MB
Open booklet
Functions
Exam questions★★–★★★★★
163 questions · 166 pages · 26 MB
Open booklet
Functions
Practice
23 questions · 47 pages · 5.6 MB
Open booklet
Implicit differentiation
10 questions · 20 pages · 2.0 MB
Open booklet
Implicit equations
Exam questions★★–★★★★★
84 questions · 76 pages · 14 MB
Open booklet
Inequalities
★★–★★★★★
16 questions · 29 pages · 5.3 MB
Open booklet
Modulus function
Exam questions★★–★★★★★
100 questions · 95 pages · 13 MB
Open booklet
Modulus function
Practice
9 questions · 18 pages · 2.1 MB
Open booklet
Numerical solutions of equations
★★–★★★★★
35 questions · 63 pages · 9.9 MB
Open booklet
Parametric equations
8 questions · 29 pages · 4.4 MB
Open booklet
Parametric equations
Exam questions★★–★★★★★
162 questions · 159 pages · 28 MB
Open booklet
Polynomials
★★–★★★★★
29 questions · 28 pages · 4.5 MB
Open booklet
Related rates of change
★★–★★★★★
56 questions · 54 pages · 9.3 MB
Open booklet
Transformations of graphs
Exam questions★★–★★★★★
94 questions · 94 pages · 14 MB
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Transformations of graphs
Practice
6 questions · 7 pages · 48 KB
Open booklet Questions only

Trigonometry 13 booklets

Compound angle identities
28 questions · 18 pages · 3.8 MB
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Double angle identities
20 questions · 21 pages · 3.2 MB
Open booklet
Inverse trigonometric functions
★★–★★★★★
37 questions · 85 pages · 17 MB
Open booklet
Pythagorean identities
14 questions · 14 pages · 2.8 MB
Open booklet
Sec, cosec and cot
17 questions · 16 pages · 3.4 MB
Open booklet
Trigonometric equations
30 questions · 32 pages · 6.6 MB
Open booklet
Trigonometric equations, an introduction
39 questions · 40 pages · 7.3 MB
Open booklet
Trigonometric equations, introductory exam questions
★★–★★★★★
74 questions · 49 pages · 7.9 MB
Open booklet
Trigonometric general solutions
★★–★★★
33 questions · 18 pages · 834 KB
Open booklet
Trigonometric graphs
★★–★★★★
37 questions · 36 pages · 4.4 MB
Open booklet
Trigonometric identities
★★–★★★★★
125 questions · 35 pages · 5.4 MB
Open booklet
Trigonometry
Exam questions★★–★★★★★
659 questions · 361 pages · 67 MB
Open booklet
Trigonometry: R transformations
17 questions · 16 pages · 2.3 MB
Open booklet

Integration and differential equations 15 booklets

Areas by integration
★★–★★★★★
35 questions · 39 pages · 6.6 MB
Open booklet
Differential equations in context
★★–★★★★★
48 questions · 107 pages · 24 MB
Open booklet
Indefinite integration mix
378 questions · 115 pages · 34 MB
Open booklet Questions only
Integration by a special manipulation
1 question · 3 pages · 209 KB
Open booklet Questions only
Integration by partial fractions
5 questions · 11 pages · 2.8 MB
Open booklet Questions only
Integration by parts
9 questions · 16 pages · 1.8 MB
Open booklet Questions only
Integration by reverse chain rule
9 questions · 15 pages · 805 KB
Open booklet Questions only
Integration by substitution
12 questions · 26 pages · 4.7 MB
Open booklet Questions only
Integration by trigonometric identities
9 questions · 17 pages · 2.0 MB
Open booklet Questions only
Integration, structured questions I
★★–★★★★★
332 questions · 268 pages · 50 MB
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Integration: the basics
20 questions · 21 pages · 92 KB
Open booklet Questions only
Numerical integration
★★–★★★★★
22 questions · 54 pages · 7.7 MB
Open booklet
Parametric integration
Exam questions★★–★★★★★
30 questions · 92 pages · 15 MB
Open booklet
Separable differential equations
★★–★★★★★
89 questions · 82 pages · 16 MB
Open booklet
Volumes of revolution
★★–★★★★★
76 questions · 78 pages · 11 MB
Open booklet