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*If you need help on a particular question, click on the HINT button

A hexagon has 6 sides and an octagon has more!

A octagon has 8 sides.

Remember BEDMAS

30 + 30 = 60

if

5 x −2 = ? A positive or negative number?

−7

A square is made up of two triangles. How many degrees in a square? Now half it!

180°

A rhombus is a "squashed" square.

Four

Remember BEDMAS

24

Prime numbers have only two factors. THemselves and 1. e.g. 23

11, 13 ,17 and 19

There are 100 centimetres in a metre.

130 cm

Product means "multiply"

20

To get started, add 6 to both sides of the equation.

*x* = 9

The 4 is in the "tenths" column.

4/10 = 2/5

Think carefully - are the diagonals axes of symmetry?

A rectangle has two axis of symmetry

There are 60 minutes in an hour and 365 days in a year.

5475 minutes

= 91.25 minutes

How many eggs would ONE person need?

OR

How many times does 5 go into 20?

5 eggs are needed

How many sides does a regular hexagon have?

Six sides and six axes of symmetry

Draw a set of x-axis and y-axis and mark the point (3,2) then carry out the change.

(3, −2)

Find the area of one face of the cube. Now work out how many faces a cube has.

6 square centimetres

For a POSITIVE index move the decimal point to the RIGHT.

630

Remember that NORTH is 0° and direction is measured CLOCKWISE.

90°

The HUNDREDTHS column is the second one to the right of the decimal point.

0.82

Multiply 2 by 3*x* then
2 by 5

6*x* + 10

Multiply 8 by 2*x* then 8 by −3

16*x* − 24

Quick way:

10% is one tenth. i.e. Divide 230 by 10

230 x 0.1 = 23

First find the area of the wall

Remember that 1 m^{2} = 10 000 cm^{2}

Seven cans of paint would be needed

Multipy numbers first and then the variables.

20*ab*

Subtract 6 from both sides then divide both sides by 2.

*x* = 2

AB is a chord, if it passes through the centre it is a _ _ _ _ _ _ _ _.

AB would be a diameter

There are 10 mm in 1 cm

2.6 cm

Multiply first

8

Do NOT multiply 4 by 4 !!!!

256

Don't do 2 x 3!

8

Write 6 out of 30 as a fraction i.e. 6/30

and now change to a percentage by multiplying by...

20%

Remember that squaring comes before multiplying by 2

32

Multiply 3 by 2 by 4

Easy!

24

What is 10^{2}?

Then work out each bracket before adding.

(On a calculator use the EXP button)

970

Add together the lengths of the bits that are being cut off.

200 − 149 = 51 cm

Whole numbers start at 0

-2 is an integer.

Substitute the numbers and then multiply the three things together.

2 x 5 x −6 = −60

3

Subtract 4 from both sides then divide both sides by 3.

*x* = 6

Change the 50 cm into metres and then multiply the two lengths.

0.75 m^{2}

"To square a number you multiply it by itself."

12.25

What is the probability that a number greater than a 4 comes up?

How many numbers on a six-sided die are greater than 4?

Probability = 1/3

Careful! There are two answers

*x* = 3 or −3

Do the MULTIPLYING first!!!!

6

"To calculate something by the power of 2, you multiply it by itself."

400

The volume of a cube or cuboid is

length x width x height

In a cube these are all the same.

Volume = 3 x 3 x 3 cm^{3} = 27 cm^{3}

60% means 60/100

0.60 = 0.6

To find one third of anything divide it by 3

$80

Calculate 50 รท 200 and then multiply by 100

25%

How many faces does a cube have? The area of each face will be the same

6*L*^{2}

(Work it out without your calculator!)

You could write 4900 as 49 x 100

70

Square each number first then multiply them together.

9 x 9 = 81

"If the perimeter of a square is 48, how long are each of its equal sides?"

144 cm^{2}

The interior angle and the exterior angle are the only two angles on the same straight line, so what do they add up to?

180 - 120 = 60°

A parallelogram is a quadrilateral with two pairs of opposite parallel sides and opposite angles are equal.

4 sides

15 − 5 + 15

Work from left to right.

25

Find 10% of $250,000 and add it on

OR

Multiply $250,000 by 1.10

$275,000

Multiply the amount by 0.8 (100 - 20)/100

OR

Work out 20% of $100,000 and subtract it.

$80,000

Use the rule that begins "The exterior angle of a triangle equals the sum of..."

25°

Work out *a*^{2} first

216

Put a "5" into the thousandths column.

0.005

Trial and error

OR

use the formula *P* = 2*L* + 2*W*

60 metres

Find the width by halving the length. Then add the four lengths together.

300 metres

There are 1000 grams in 1 kilogram.

2500 g

"Remember BEDMAS!"

23

What is the size of the other angle?

The inside angles of a triangle add up to 180°

48°

The mean is the SUM of all of the values divided by the NUMBER of values.

mean = 50/5 = 10

Read the question carefully. How many people are there altogether?

$60

Remember there are TIMES and not DECIMAL numbers. (There are 60 minutes in an hour!)

110 minutes

How many "parts" are there altogether?

$20

Express the total weight in kilograms.

"There are 1000 grams in a kilogram."

1.2 kg

The EXTERIOR angles of ANY polygon add up to 360°.

360/60 = 6

Therefore there are 6 sides.

Either use the fact that 25% is the same as a quarter

OR

Multiply 30 by 0.25

30 x 0.25 = 7.5

Choose from: acute, reflex and obtuse

Acute angles are less than 90°

Speed = Distance/Time

90 kilometres/hour

Time = Distance / Speed

3.5 hours

"What? x What? = 121!"

11

Is there a COMMON factor?

10(8*x* + 7)

Prime numbers have only themselves and 1 as factors.

23

There are 10 000 cm^{2} in 1 m^{2}

20 000 cm^{2}

To "square" a number multiply if by itself.

4.41

% increase =

__amount of increase__ x 100

original amount

40/200 x 100 = 20%

How many ways can you fill the first digit and how many ways can you fill the second digit? Remember both digits can be the same.

There are 9 ways from 44 through to 66

Calculate ≄3 x ≄3 x ≄3

Care with the signs!

≄27

Choose from acute, obtuse and reflex.

You've been given a clue already!

Acute angle

What FRACTION is 50%

OR

Multiply 210 by 0.5

105

There are 9 parts altogether so divide 360 by 9. The biggest share will be 5 of those parts.

$200

Start from the inside bracket and work out.

500

No clues, too easy!

67°

Subtract 4 from both sides and then divide both sides by 2.

*x* = 6

The vertices are the corners of the prism.

A triangular has 6 vertices.

The median of a set of numbers is the middle number when they are arranged in order.

The median is 6

There are 1000g in 1kg

2500 grams

When working out the surface area of the cube remember there are 6 faces to consider.

214 square centimetres

Add 5 to both sides and then divide both sides by 3

*x* = 5

To find 10% of a quantity multiply it by 0.1. Remember there are 1000 g in 1 kg

300 grams of sugar

There are 1000 metres in one kilometre.

8400 metres

4 g or 300 mg

There are 1000 mg in a g

3g is heavier!

There are 100 cm in 1 m

Each piece of wood is 18 cm thick.

You don't even need to get your calculator out for this one

0.1 x 0.1 x 0.1 x 0.1 = 0.0001

so the statement is false.

Work from left to right.

4*x*

Is 4.4 closer to 8 or 9 on the number line?

8

Rotational symmetry is the number of times a shape fits into itself when rotated about its middle.

2

Multiply the numbers first and then the variables (letters). (Leave variables in alphabetical order)

20*ab*

What is the value

After substituting *x* = 2

*y* = 3 x 2 + 5 Work it out!

11

What is a negative number multiplied by a negative number? Positive or Negative?

16

Double the length of each side and then multiply them together to find the area.

48 square cm

Add the numbers and then add and subtract the pees!!

7 + *p*

Subtract 13 from both sides.

*n* = 10

Write 2 out of 6 as a fraction in its simplest form.

2/6 = 1/3

Write the answer as a fraction with a denominator of 7

2/7

Area of triangle = 0.5 x base x height

Area = 15 m^{2}

Remember a cuboid has 6 faces.

180 cm^{2}

The angles of a triangle are SUPPLEMENTARY (they add up to 180°).

58°

Choose from scalene, isosceles or equilateral triangle.

Equilateral triangle

Move the decimal point two places to the ...

837

Work out the two brackets first.

392

An equilateral triangle has 3 equal sides, an isosceles triangle has 2 equal sides and a scalene triangle has...

... no equal sides.

1 cm = 10 mm

3.5 cm = 35 mm

Axes of symmetry are mirror lines drawn through the shape.

Only 2, the diagonals

There are 365 days in normal year. There are 60 seconds in a minute.

91 hours

Either:

Divide 3 by 5

or

Change the fifths to tenths

0.6

Draw a diagram. Let the width be *x* so the length will be 2*x*. Form an equation for the perimeter

200 cm^{2}

An isosceles triangle is a triangle with two sides of equal length.

One axis of symmetry

Does it have any factors apart from 39 and 1?

No, it is not a prime number!

3 and 13 are factors as well as 1 and 39.

3

Subtract 9 from both sides and then divide by 3.

*a* = 12

Multiply by 1000 to change it to metres then divide by 60 x 60 to change the hours to seconds

14 m/s (to nearest metre)

Add the two numbers and then divide by 60 to change to hours.

6 hours

Multiply by 9 and divide by 8 (i.e. 112.5/100)

$450

1 m^{2} = 10 000 cm^{}

32 000 cm^{2}

Expand the brackets first and subtract 15 from both sides...

*x* = 1

Remember that BEDMAS applies to algebra too.

Multiply before adding.

16*p*

3.2^{3} means 3.2 x 3.2 x 3.2

32.768

North is a bearing of 000°

180°

Remember BEDMAS. Squaring comes first!

12

The median is the MIDDLE number when you arrange them in order.

Median = 6

Start from the innermost brackets.

0

Axes of symmetry are mirror lines.

A rhombus has 2 axes of symmetry.

Note that the diagonals are NOT axes of symmetry.

How many surfaces (square faces) does a cube have?

6 faces at 25 cm^{2} each = 150 cm^{2}

Add 13 to both sides and then divide by 4.

*x* = 12

Invariant means that they do not move.

All points on the x-axis don't change so the answer is that the x-axis is invariant.

Divide by 10

17.5 km/L

Change each fraction to hundredths

Fourteen hundredths

Remember BEDMAS. Multiply before Adding or Subtracting

15

Add the two measurements and then decide which whole number the answer is closest to.

8 cm

How many hours in a day? How many day in a week?

672 hours

Expand the brackets and then take *x* terms to one side and numbers to other.

5*x* − 20 = 15

5*x* = 35

*x* = 7

Remember there are 60 minutes in an hour.

38 minutes

Edges are where two faces meet.

A cube has 12 edges.

Prime numbers have only themselves and 1 as factors.

29

Area of triangle = 0.5 x base x height

Area = 21 cm^{2}

Multiples of 4 are numbers such as 24, 27 ,30 etc.

There are 3 multiples of three between 30 and 40:

33, 36 and 39.

Find the cost of ONE book first by dividing and then...

30 books would cost $240

A face is a flat surface.

A square-based pyramid has 5 faces.

List all of the factors of each number and then find the largest. (A FACTOR is a number that divides into another without a remainder.)

H.C.F is 6.

The mean is the average. To work it out, add all the numbers together and then divide by 5 (because there are 5 numbers).

The mean is 6

The prefix "kilo" means a thousand.

16 000

The interior angles of ANY triangle always add up to ...

180°

Volume of a rectangular prism = length x width x height

160 m^{3}

Subtract 4 from both sides of the equation then divide both sides by 3.

*x* = 1

Area of a rectangle = length x width

6300 m^{2}

1 m^{3} = 1000 litres

400 000 litres of water would be needed.

Write out the multiples of 4 and 5 and find the lowest common one.

20 is the LCM of 4 and 5

Vertices is the plural of vertex which means "corner".

There are 8 vertices in a cuboid.

Are there any common factors?

4(2*y* + *x* + 3)

One of the angles in the triangle is 90° So what do the other two equal angles add up to? Now divide this by 2

45°

There are 100 centimetres in 1 metre and 1000 metres in 1 kilometre.

There are 250 000 cm in 2.5 kilometres.

What effect does the negative sign OUTSIDE the bracket have on the negative sign INSIDE the bracket?

5*p* − 2(*p* − 3) = 5*p* − 2*p* + 6

= __3 p + 6__

Remember BEDMAS! Do that exponent first!

30

Divide 80 by 5 and then work out what *x*^{2} has to be.

*x* = 4

There should be three terms in the final answer.

2*x*^{2} − 11*x* − 21

You'd better expand the brackets first and then take all of the *x* terms to one side of the equation and all of the number to the other side.

*x* = −3

The interior opposite angles of a cyclic quadrilateral add up to 180°

77° and 159°

Think of where the dotted, vertical lines are on the tangent graph.

90° and 270°

It will be flatter (a smaller number) and it will be a negative gradient.

−0.5

3, 4, 6, 1, 2, 5, 6, 3, 9, 5, 6, 2, 4, 3?

Arrange them in order then split the numbers into 4 sets

Upper quartile is 6

The OUTSIDE or EXTERIOR angle is 360/8.

135°

Expand the brackets first.

*p* = −1.5

Remember that when you minus a negative it is equivalent to adding a positive. Strange but true!

−3

The sum of the exterior angles of ANY polygon is 360° and in a hexagon there are 6 of them.

60°

−2 + −4 x 5 = −30

Apply the BEDMAS rule.

FALSE! The left hand side comes out to be −22

The exterior angles of ALL polygons always add up to 360°

The polygon has 360/24 = 15 sides

Look for the common factor

3*x*(*x* + 2)

By division, work out the cost of 1 g of pears for each can.

The 405 gram can is better value.

If neither of the coins is a head, what must they both be!

P(Tail,Tail) = 0.5 x 0.5 = 0.25

When he spends two thirds, what fraction is left?

1/6

The exterior angle of a triangle equals the sum of the two interior opposite angles.

*x = 97°*

Factorise it first!

*x = −5 or +1*

There are 100 x 100 x 100 cubic cemtimetres in a cubic metre.

0.245 m^{3}

What total is needed on 6 rounds to average 72?

She would need a round of 67 strokes!

List the factors of 24 and list the multiples of 4. Then find the biggest!

24

How many x are there? What is the total number of degrees in a quadrilateral?

9*x* = 360

*x* = 40

The biggest angle is 3*x* = __120°__

Simplify the left hand side of the equation first.

*x* = 1

What x What = 144???

The perimeter would be:

4 x 12 = 48 cm

Expected value = Number of people x Probability of not passing

550 would be expected to pass.

10^{2} = 100

365

The angles in a triangle add up to 180°

40°

Is there a common factor?

i.e. A number that divides into both 4*x* and 48.

4*x* − 48 = 4(*x* − 12)

There are 1000 grams in 1 kilogram.

3 500 g = 3.5 kg

$3, $2, $4, $3, $5 and $7?

To get the mean of six amounts of money, add the six amounts together and then divide by 6.

Mean = $4