# Maths Topics

Guide for an end of year exam, you will need to anotate

2.5 / 5

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- Created by: Rachel
- Created on: 26-04-11 17:36

Maths TopicsWord Document 1.33 Mb

## Pages in this set

### Page 1

Revision for maths

Negative Numbers

Multiplication and division

Positive ×/ positive = positive

Positive ×/ negative = negative

Negative ×/ positive = negative

Negative ×/ negative = positive

Adding Negative Numbers

If I walk 3 steps forward and then 5 steps forward, it's the same as if I walked 8…

Negative Numbers

Multiplication and division

Positive ×/ positive = positive

Positive ×/ negative = negative

Negative ×/ positive = negative

Negative ×/ negative = positive

Adding Negative Numbers

If I walk 3 steps forward and then 5 steps forward, it's the same as if I walked 8…

### Page 2

If I walk 3 steps backward 5 times, then in total I will have walked 15 steps backward.

Restating this in terms of steps forward, I can say that if I walk -3 steps forward 5 times,

then in total I will have walked -15 steps forward, corresponding to the…

Restating this in terms of steps forward, I can say that if I walk -3 steps forward 5 times,

then in total I will have walked -15 steps forward, corresponding to the…

### Page 3

Rounding to a number of significant figures

The required number is found by ignoring any zeros infront or behind the line of numerals and

rounding where needed.

Example #1

0.001292 ................to 3 significant figures

the three figures are 1 2 9

answer = 0.00129

Example #2

120,101 ................to 4 significant…

### Page 4

Fractions/Ratio

Example: Divide 90 in the ratio 3 : 2

Total of ratio numbers = 3 + 2 = 5

Therefore 90 shared in the ratio 3 : 2 is 54 and 36

The common denominator is found by multiplying the two denominators together. In this

case, multiply the 5…

### Page 5

Fraction Division - The second fraction is turned upside down(inverted), the two fractions

are multiplied together.

Constructions/Loci

Construction of a Perpendicular Bisector

1. Draw a straight line segment.

2. Put your compass on one of the points at the end of the line segment.

3. Using your compass expand the…

### Page 6

A cow is tethered to a post with a rope of length 4m. It walks around the post with the rope

pulled tight.

The cow's path is a circle of radius 4m.

The cow's path is known as the locus.

The plural of locus is loci.

Midpoint of a line…

pulled tight.

The cow's path is a circle of radius 4m.

The cow's path is known as the locus.

The plural of locus is loci.

Midpoint of a line…

### Page 7

2. Set the compass

width to a

approximately two

thirds the line length.

The actual width does

not matter.

3. Without changing

the compass width,

draw an arc on each

side of the line.

4. Again without

changing the compass

width, place the

compass point on the

the other end…

width to a

approximately two

thirds the line length.

The actual width does

not matter.

3. Without changing

the compass width,

draw an arc on each

side of the line.

4. Again without

changing the compass

width, place the

compass point on the

the other end…

### Page 8

5. Using a

straightedge, draw a

line between the points

where the arcs

intersect.

6. Done. This line is

perpendicular to the

first line and bisects it

(cuts it at the exact

midpoint of the line).

Perpendicular point to a line

After doing Your work should look

this like this…

straightedge, draw a

line between the points

where the arcs

intersect.

6. Done. This line is

perpendicular to the

first line and bisects it

(cuts it at the exact

midpoint of the line).

Perpendicular point to a line

After doing Your work should look

this like this…

### Page 9

Step 1 Place the compass on the

given external point R.

Step 2 Set the compass width to

a approximately 50% more

than the distance to the

line. The exact width does

not matter.

Step 3 Draw an arc across the

line on each side of R,

making sure not…

given external point R.

Step 2 Set the compass width to

a approximately 50% more

than the distance to the

line. The exact width does

not matter.

Step 3 Draw an arc across the

line on each side of R,

making sure not…

### Page 10

Step 5 Place a straightedge

between R and the point

where the arcs intersect.

Draw the perpendicular

line from R to the line, or

beyond if you wish.

Step 6 Done. This line is

perpendicular to the first

line and passes through the

point R. It also bisects the

segment…

between R and the point

where the arcs intersect.

Draw the perpendicular

line from R to the line, or

beyond if you wish.

Step 6 Done. This line is

perpendicular to the first

line and passes through the

point R. It also bisects the

segment…

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# Maths Topics

Guide for an end of year exam, you will need to anotate

2.5 / 5

- Created by: Rachel
- Created on: 26-04-11 17:36

Maths TopicsWord Document 1.33 Mb

## Pages in this set

### Page 1

Revision for maths

Negative Numbers

Multiplication and division

Positive ×/ positive = positive

Positive ×/ negative = negative

Negative ×/ positive = negative

Negative ×/ negative = positive

Adding Negative Numbers

If I walk 3 steps forward and then 5 steps forward, it's the same as if I walked 8…

Negative Numbers

Multiplication and division

Positive ×/ positive = positive

Positive ×/ negative = negative

Negative ×/ positive = negative

Negative ×/ negative = positive

Adding Negative Numbers

If I walk 3 steps forward and then 5 steps forward, it's the same as if I walked 8…

### Page 2

If I walk 3 steps backward 5 times, then in total I will have walked 15 steps backward.

Restating this in terms of steps forward, I can say that if I walk -3 steps forward 5 times,

then in total I will have walked -15 steps forward, corresponding to the…

Restating this in terms of steps forward, I can say that if I walk -3 steps forward 5 times,

then in total I will have walked -15 steps forward, corresponding to the…

### Page 3

Rounding to a number of significant figures

The required number is found by ignoring any zeros infront or behind the line of numerals and

rounding where needed.

Example #1

0.001292 ................to 3 significant figures

the three figures are 1 2 9

answer = 0.00129

Example #2

120,101 ................to 4 significant…

### Page 4

Fractions/Ratio

Example: Divide 90 in the ratio 3 : 2

Total of ratio numbers = 3 + 2 = 5

Therefore 90 shared in the ratio 3 : 2 is 54 and 36

The common denominator is found by multiplying the two denominators together. In this

case, multiply the 5…

### Page 5

Fraction Division - The second fraction is turned upside down(inverted), the two fractions

are multiplied together.

Constructions/Loci

Construction of a Perpendicular Bisector

1. Draw a straight line segment.

2. Put your compass on one of the points at the end of the line segment.

3. Using your compass expand the…

### Page 6

A cow is tethered to a post with a rope of length 4m. It walks around the post with the rope

pulled tight.

The cow's path is a circle of radius 4m.

The cow's path is known as the locus.

The plural of locus is loci.

Midpoint of a line…

pulled tight.

The cow's path is a circle of radius 4m.

The cow's path is known as the locus.

The plural of locus is loci.

Midpoint of a line…

### Page 7

2. Set the compass

width to a

approximately two

thirds the line length.

The actual width does

not matter.

3. Without changing

the compass width,

draw an arc on each

side of the line.

4. Again without

changing the compass

width, place the

compass point on the

the other end…

width to a

approximately two

thirds the line length.

The actual width does

not matter.

3. Without changing

the compass width,

draw an arc on each

side of the line.

4. Again without

changing the compass

width, place the

compass point on the

the other end…

### Page 8

5. Using a

straightedge, draw a

line between the points

where the arcs

intersect.

6. Done. This line is

perpendicular to the

first line and bisects it

(cuts it at the exact

midpoint of the line).

Perpendicular point to a line

After doing Your work should look

this like this…

straightedge, draw a

line between the points

where the arcs

intersect.

6. Done. This line is

perpendicular to the

first line and bisects it

(cuts it at the exact

midpoint of the line).

Perpendicular point to a line

After doing Your work should look

this like this…

### Page 9

Step 1 Place the compass on the

given external point R.

Step 2 Set the compass width to

a approximately 50% more

than the distance to the

line. The exact width does

not matter.

Step 3 Draw an arc across the

line on each side of R,

making sure not…

given external point R.

Step 2 Set the compass width to

a approximately 50% more

than the distance to the

line. The exact width does

not matter.

Step 3 Draw an arc across the

line on each side of R,

making sure not…

### Page 10

Step 5 Place a straightedge

between R and the point

where the arcs intersect.

Draw the perpendicular

line from R to the line, or

beyond if you wish.

Step 6 Done. This line is

perpendicular to the first

line and passes through the

point R. It also bisects the

segment…

between R and the point

where the arcs intersect.

Draw the perpendicular

line from R to the line, or

beyond if you wish.

Step 6 Done. This line is

perpendicular to the first

line and passes through the

point R. It also bisects the

segment…

## Comments

No comments have yet been made

## Similar Mathematics resources:

2.0 / 5

0.0 / 5

0.0 / 5

1.5 / 5

2.0 / 5

0.0 / 5

4.0 / 5

3.0 / 5

## Related discussions on The Student Room

- IB Maths IA topics?? »
- IB Maths IA topics? »
- 2018 Edexcel GCSE Maths Higher: Predicted Topics For ... »
- IB Maths IA topics? »
- 2018 AQA GCSE Maths Higher: Predicted Topics For Paper 3 »
- Aqa further maths gcse non calc topics »
- edexcel maths paper 3 topics »
- AQA maths predicted topics »
- GCSE Maths Edexcel 9-1 Topic list »
- 2018 TSR Edexcel GCSE Maths Predicted Paper 3 (Higher) »

## Comments

No comments have yet been made