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

A pentagon has 5 sides and an octagon has more!

A octagon has 8 sides.

Work out each of the two terms separately then add them.

If you use your calculator, the EXP button may be useful.

300 + 400 = 700

= 7.0 x 10^{2}

Work out the expression inside the bracket first.

49

All triangles have the same number of degrees.

180°

A kite is a quadrilateral.

4

Remember BEDMAS

12

Prime numbers have only two factors. Themselves and 1. e.g. 37

11, 13 ,17 and 19

There are 10 millimetres in a centimetre.

23 mm

Product means "multiply"

Sum means "add"

Difference means "subtract"

3 or −3

Add 2 to both sides of the equation.

*x* = 5

How many hundredths are there in 0.96?

24/25

Total order of symmetry = NUMBER of AXES of SYMMETRY plus the ORDER of ROTATIONAL SYMMETRY

Total order of symmetry = 2 + 2 = 4

How many minutes in a week?

Percentage Loss

=[25/(24 x 60 x 7)] x 100

= 0.25% (to 2 s.f.)

How many eggs would ONE person need?

About eight eggs

Draw a 6-sided regular polygon and see how many times you can rotate it onto itself!

6

Draw a set of *x* and *y* axes and mark the point (3,2) then carry out each of the two changes.

(3, −2)

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

54

For a NEGATIVE index move the decimal point to the LEFT.

5.057

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

270°

Change the denominator to 100

0.54

Multiply 6*x* by 2*x* then
6*x* by −3 etc.

12*x*^{2} − 20*x* + 3

Multiply *x* by 2*x* then *x* by −1 etc. then multiply everything by 2

2*x*^{2} − 4*x* + 2

Multiply 210 by 0.30 (this is the DECIMAL form of 30%).

210 x 0.3 = 63

Find the area of each of the six faces of the cuboid.

Two cans of paint would be needed. (18 600 cm^{2})

Multipy numbers first and then the variables.

30*a*^{2}*b*

Divide both sides of the inequation by 3 first.

*x* < −5

e.g. −6

Begins with "s"

The area above chord AB is a SEGMENT.

What is this height in metres ?

There are 1000 mm in 1 m

0.772 m

Use BEDMAS

−1

Exponents FIRST

4.32

You should not need to use your calculator!

8

Write 8 out of 40 as a fraction i.e. 8/40

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

20%

Remember that when you square a negative number you get a positive number.

8

Substitute 4 into *a* and 3 into *b* and then work it out!

20

Leave the answer in standard form.

On the calculator use the EXP button after typing 3 to enter numbers in standard form.

1.2 x 10^{10}

What is a quarter as a decimal.

250 kg

Yes or no?

No clues!

No!

Integers are ... −2, −1, 0, 1, 2 ...

Substitute the numbers and then multiply the three things together.

12

Turn both sides of the equation upside down.

*x* = 9

The minimum value for a measurement of 3 m is 2.5 m.

8.75 m^{2}

There is a reciprocal button on your calculator, 1/*x* or *x*^{−1}

OR

If you are finding the reciprocal of a fraction - turn it upside down.

0.25

There are 4 possibilities when two coins are tossed.

HH TT HT TH

0.25

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

*x* = 2.5

Do the MULTIPLYING first!!!!

21

What is the value of anything to the power of 0?

(And the answer is not 0)

1

The volume of a cube is l^{3}

64 cm^{3}

33% means 33/100

0.33

To find one third of anything divide it by 3

$100

Calculate 35 ÷ 700 and then multiply by 100

5%

The surface area of a cylinder is 2π*rl*.

The area of each end is π*r*^{2}

Diameter *D* = 2*r*

(try to work it out without your calculator)

The positioning of the decimal point is crucial.

Check your answer by multiplying it by itself.

0.2

Work out the exponents first and then ADD your two answers.

64 + 81 = 145

"If the perimeter of a square is 36, how long are each of its equal sides?"

81 cm^{2}

What do the exterior angles of any polygon add up to?

18

A trapezium is a quadrilateral.

4

−5 + −8 + −5

A negative plus a negative gives a bigger negative!

−18

Multiply by 100 and divide by 112.5

i.e. Multiply by 8/9

$444,444.44

Multiply the amount by 0.91 (100 - 9)/100

$227,500

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

25°

Work out *a*^{2} first

432

*x* or *x*^{−1}

OR

If you are finding the reciprocal of a fraction - turn it upside down.

0.017

Draw a diagram and let the length be 2*x* and the width be *x*

12.5 metres

What is the area of the banner in cm

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

60,000 cm^{2}

There are 1000 metres in 1 kilometre.

3050 metres

Remember BEDMAS

−17

An angle and its supplement add up to 180°

34°

Arrange in order and find the middle one.

7 cm

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

$330

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

1484 minutes

How many "parts" are there altogether?

$16

Express the total weight in kilograms.

There are 1000 grams in a kilogram.

2.34 kg

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

360/20 = 18

Therefore there are 18 sides.

To find 18% of a quantity multiply it by 0.18

9

The interior angles of a triangle add up to 180°

101° and 31°

To change km/hr to metres/min multiply by 1000 and then divide by 60.

833 metres/minute (to 3 s.f.)

Speed equals distance divided by time.

83 km/hr

Use a calculator (1/*x* or *x*^{−1} button) or turn 4/5 upside down!

1.25

Which two numbers multiply to −20 and add to −8?

(*x* + 2)(*x* − 10)

Prime numbers have only themselves and 1 as factors.

59

A hectare is a square with sides of 100 m.

45 000 m^{2}

A calculator with and exponent button such as *x ^{y}* will obviously be of great value here!

286.3

% increase =

__amount of increase__ x 100

original amount

50 x 100 / 200 = 25%

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.

4 x 4 = 16 numbers

from 11 to 14

from 21 to 24

from 31 to 34

from 41 to 44

(negative) x (negative) = positive

4*x*^{2}

Use corresponding angles but be careful!

B = 118°

45% means 0.45

85.5

How many parts are there altogether?

$300

Start from the inside brackets.

2500

What do you know about the base angles of an isoceles triangle?

70°

Add 4 to both sides and then divide both sides by 2.

*x* = 10

The vertices are the corners of the cuboid.

A cuboid has 8 vertices.

The mode of a set of numbers is the most common number.

The mode is 5.

There are 1000g in 1kg

21.3 kg

Care with the units!

2 275 000 cm^{3}

or

2.275 m^{3}

If the equation is written in the form

*y* = *mx* + *c*

the *m* stands for the gradient.

gradient = 3

To find 17% of a quantity multiply it by 0.17. Remember there are 1000 g in 1 kg

680 grams of sugar

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

So there's not going to be much of a kilometere in the answer!

0.008 km

30 kilograms or 3 000 000 mg

There are 1000 mg in 1 g and 1000 g in 1 kg

30 kilograms is much heavier!

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

60 000 cm^{2}

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

False

(0.2)^{2} = 0.04

Remember BEDMAS (Brackets first)

3*x*

Start counting at the first non-zero digit.

8

Axes of symmetry are mirror lines.

2

Multiply the numbers first and then the variables.

15*p*^{2}

For the function *y* = *mx* + *c*

The gradient is the value of m

Gradient is 2

Replace each *x* with 1 and work out the value of the expression

7

Draw a diagram!

(−3, 2)

Add the fives and then add the pees!!

10 − *p*

Add 10 to both sides and then divide both sides by 4.

*n* = 7.5

Remember a 3 followed by a 1 is a different from a 1 followed by a 3.

3 ways

(1, 3), (3, 1), (2, 2)

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}

Watch out for the units?

1.44 m^{3}

Get the *x* terms to one side of the equation.

*x* = 4

It must be a triangle of some sort!

An equilateral triangle

Move the decimal point two places to the ...

837

Use the EXP button on your calculator to enter the two standard form numbers.

1.47 x 10^{6}

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

... no equal sides.

Write the number as a number between 1 and 10 multiplied by a power of 10

3.456 x 10^{2}

Axes of symmetry are mirror lines drawn through the shape.

Zero!

(the diagonals are not axes of symmetry)