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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 102
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 6x by 2x then 6x by −3 etc.
12x2 − 20x + 3
Multiply x by 2x then x by −1 etc. then multiply everything by 2
2x2 − 4x + 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 cm2)
Multipy numbers first and then the variables.
30a2b
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.
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
On the calculator use the EXP button after typing 3 to enter numbers in standard form.
1.2 x 1010
What is a quarter as a decimal.
250 kg
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 m2
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 l3
64 cm3
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 2πrl.
The area of each end is πr2
Diameter D = 2r
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 cm2
What do the exterior angles of any polygon add up to?
18
A trapezium is a quadrilateral.
4
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 a2 first
432
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.
0.017
Draw a diagram and let the length be 2x and the width be x
12.5 metres
1 m2 = 10 000 cm2
60,000 cm2
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
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 m2
A calculator with and exponent button such as xy 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
4x2
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 cm3
or
2.275 m3
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
There are 1000 mg in 1 g and 1000 g in 1 kg
30 kilograms is much heavier!
There are 10 000 cm2 in 1 m2
60 000 cm2
"You don't even need to get your calculator out for this one."
False
(0.2)2 = 0.04
Remember BEDMAS (Brackets first)
3x
Start counting at the first non-zero digit.
8
Axes of symmetry are mirror lines.
2
Multiply the numbers first and then the variables.
15p2
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 m2
Watch out for the units?
1.44 m3
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 106
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 102
Axes of symmetry are mirror lines drawn through the shape.
Zero!
(the diagonals are not axes of symmetry)