End Of Year Maths Test

Question 1

Laws of indices

Answer 1

When multiplying powers with the same base
Dividing powers with the same base then subtract indices
When raising one power to another then multiply the indices
Anything to the power of 1 is itself
Anything to the power of 0 is 1

Question 2

Laws of indices example

Answer 2

3 squared x 3 sixth =3 indices 8

Question 3

Fractional indices

Answer 3

If the index 1/2 then you replace the power with the square root
If the index 1/3 then replace the powrt with the cube root
If the index 1/m then you replace the power with the mth root

Question 4

Fractional indices example

Answer 4

a 1/5 5 root a

Question 5

Common factors

Answer 5

Factorising is the opposite of expanding brackets . Is an expression.

Question 6

Quadratic

Answer 6

A quadratic expression is an expression wher the highest power of the variable they have the form of ax squared + bx+ c where a, b and c are constants. You can factorise some quadratic into the form, but jtx usually not clear what. The method depends on whether ot not there’s a number.

Question 7

Circle theorems

Answer 7

Circumference: the distance around the outside of a circle
Radius: a line from centre of a circle to the edge.
Diameter: a line from one side of a circle to the other through the centre . The diameter is twice the radius. d=2r

Question 8

Tangent

Answer 8

A straight line that just touches the circle

Question 9

Arc

Answer 9

A part of the circumference

Question 10

Chord

Answer 10

A line between two points on the edge of the circle

Question 11

Sector

Answer 11

An area of a circle like a slice of pie

Question 12

Segment

Answer 12

An area of a circle between an arc and a chord

Question 13

Circle theorems rule 1

Answer 13

A triangle formed by two radii is isosceles

Question 14

Rule 2

Answer 14

A tangent to a circle makes a right angle with the radius at that point

Question 15

Rule 3

Answer 15

Then agle in a semicircle is a right angle

Question 16

Rule 4

Answer 16

A diameter bisected a chord at right angles

Question 17

Rule 5

Answer 17

The angle subtended at the centre of a circle is double the angle subtended at the circumferential by the same arc x+y so n =360° -x-y-(x+y) =360°-2(x+y

Question 18

Rule 6

Answer 18

Angles subtended by an arc in the same segment qre equal. M=x/2 and n=x/2 so m=n

Question 19

Rule 7

Answer 19

Opposite angles in a cyclic quadrilateral sum to 180°

Question 20

Rule 8

Answer 20

Two tangents to a circle drawn from a single point outside the circle are the same length

Question 21

Rule 9

Answer 21

Tye angle between a tangent and a chord is equal to the angle subtended from the ends of the chord in the alternate segment