VIDEO TUTORIALS FOR STUDENTS

(be patient as they take time to upload)

Enlargements 1a (basics, includes ratio of areas)

**Enlargements 1b** **(positive and negative enlargements, ratio of areas)**

Enlargements 1c (finding the centre of enlargement and scale factor, ratio of areas)

If you would like to make a donation (no matter how small) to help me

improve upon this website and resources,

please use PayPal (a safe way to transfer money.

Its free once you register).

improve upon this website and resources,

please use PayPal (a safe way to transfer money.

Its free once you register).

**New Video Tutorials:**

Problem Solving Made Easy!

'Thinking out of the box'

Olympiad Type Questions (non-calculator)

Problem 1

(Find the value of 1-2+3-4+...+99-100)

Problem 2

(Fractions: addition and subtraction)

Problem 3

(Fractions: mixed numbers and reciprocals)

Problem 4

(Fractions: subtraction and multiplication)

Problem 5

(Fourth root, indices and factorisation)

Problem 6

(Angles in a triangle)

Problem 7

(Indices/Exponents)

**Problem 8**

(How many different size squares)

Problem 9

(Find the value of the sum 1+2+3+...+98+99+100)

Problem 10

(Involves adding simultaneous equations)

Geometry:

Proofs:

1. Angle in a semicircle is a right angle

2. Exterior angle of a triangle

3. Angles in a triangle add up to 180°

4. Opposite angles in a cyclic quadrilateral add up to 180°

5. The angle at the centre of a circle is twice the angle at the circumference

CIRCLE THEOREMS

GCSE/IGCSE (KS4) (May be accessible for top

end of KS3/Year 9)

**Examination Style Questions:**

Question 1

**Question 2**

Question 3

Question 4

Question 5

Question 6

improve upon this website and resources,

please use PayPal (a safe way to transfer money.

Its free once you register).

INDICES/EXPONENTS/POWERS

**Introduction to Exponents/Indices/Powers**

(GCSE/KS3/KS4/C1 (CoreUnit), IGCSE)

**Questions on Indices/Exponents. Part 1.****
**(C1, GCSE, IGCSE, KS4, KS3)

**Questions on Exponents. Part 2.
(C1 (Core Unit) GCSE, IGCSE, KS4,KS3**)

**Rules (Laws) of Multiplication Part 1**

**(C1 (Core Unit) GCSE, IGCSE, KS4,KS3**)

**Questions on the Rules of Multiplication of Exponents/Indices. Part 1.
(C1, GCSE, IGCSE, KS4, KS3)**

Rule 2 of Multiplication of Exponents/Indices/Powers.

(C1, GCSE, IGCSE, KS4, KS3, Grades 5-8)

Exponents: Questions on Rule 2 on Multiplication.

(C1, GCSE, IGCSE, KS4, KS3, Grades 5-8)

Exponents: Rule of Division Part 1

(C1, GCSE, IGCSE, KS4, Grades 5-8)

Exponents: Questions on the Rule of Division. Part 2

(C1, GCSE, IGCSE, KS4, Grades 5-8)

**Zero Exponent. (C1, KS4, (KS3), GCSE, IGCSE, Grades 5-8)**

Negative Exponents/Powers. Part 1

**(C1, KS4, (KS3), GCSE, IGCSE, Grades 6-9)**

Questions on Negative Exponents/Indices/Powers. Part 2

**(C1, KS4, (KS3), GCSE, IGCSE, Grades 6-9)**

**Exponents: Fractions Raised to a Negative Power. Part 1 **

(C1, KS4, GCSE, IGCSE, Grades 7-9)

**Exponents: Questions on Fractions Raised to a Negative Power. Part 2.
(C1, KS4, GCSE, IGCSE, Grades 7-9)**

**Fractional (Rational) Powers/Exponents. Part 1 **

(C1, GCSE, KS4, IGCSE, Grades 7-9)

**Fractional (Rational) Powers/Exponents. Part 2 **

(C1, GCSE, KS4, IGCSE, Grades 7-9)

**Exponents. Questions on Fractional (Rational)Powers.**

(C1, GCSE, KS4, IGCSE, Grades 7-9)

Mathematics Olympiad Type Questions involving the use of the Rules of Indices.

(C1, GCSE, KS4, IGCSE, Grades 7-9)

**Simplifying Negative Powers.**

**(C1, GCSE, KS4, IGCSE, Grades 8 and 9)**

**Expressing in the form axⁿ.
**

**Solving equations in which the power is to be found.**

(C1, GCSE, KS4, IGCSE, Grades 8 and 9, Homeschooler)

**Solving equations with** **fractional powers****
**(C1, C2, C3, C4, GCSE, IGCSE, Homeschooler)

**Questions on solving equations with** **fractional powers****
**(C1-C4, GCSE, IGCSE and Homeschooler)

3D Coordinates

** Introduction Part 1
**

Part 3.

GCSE (KS4), IGCSE. Identifying the coordinates of points in 3D

by looking at a cuboid
.

**Part 4.**

GCSE (KS4), IGCSE. Identifying the coordinates of points in 3D

by looking at a prism.

3D Coordinates Using Animation3D Coordinates Using Animati

**Part 4b.
**GCSE (KS4). Identifying coordinates using animation.

Part 5.

**Negative Coordinates using animation.**GCSE (KS4), IGCSE.

(May be accessible to the top end of KS3)

improve upon this website and resources,

please use PayPal (a safe way to transfer money.

Its free once you register).

Check out the worksheets related to some of the tutorials above.

© mathsmalakiss.com 2011