1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |

21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40 |

41 |
42 |
43 |
44 |
45 |
46 |
47 |
48 |
49 |
50 |
51 |
52 |
53 |
54 |
55 |
56 |
57 |
58 |
59 |
60 |

61 |
62 |
63 |
64 |
65 |
66 |
67 |
68 |
69 |
70 |
71 |
72 |
73 |
74 |
75 |
76 |
77 |
78 |
79 |
80 |

81 |
82 |
83 |
84 |
85 |
86 |
87 |
88 |
89 |
90 |
91 |
92 |
93 |
94 |
95 |
96 |
97 |
98 |
99 |
100 |

101 |
102 |
103 |
104 |
105 |
106 |
107 |
108 |
109 |
110 |
111 |
112 |
113 |
114 |
115 |
116 |
117 |
118 |
119 |
120 |

121 |
122 |
123 |
124 |
125 |
126 |
127 |
128 |
129 |
130 |
131 |
132 |
133 |
134 |
135 |
136 |
137 |
138 |
139 |
140 |

141 |
142 |
143 |
144 |
145 |
146 |
147 |
148 |
149 |
150 |
151 |
152 |
153 |
154 |
155 |
156 |
157 |
158 |
159 |
160 |

161 |
162 |
163 |
164 |
165 |
166 |
167 |
168 |
169 |
170 |
171 |
172 |
173 |
174 |
175 |
176 |
177 |
178 |
179 |
180 |

181 |
182 |
183 |
184 |
185 |
186 |
187 |
188 |
189 |
190 |
191 |
192 |
193 |
194 |
195 |
196 |
197 |
198 |
199 |
200 |

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

An octagon has 8 sides and a pentagon has fewer!

A pentagon has 5 sides.

Remember BEDMAS

3 x 16 x 5 = 240

if

6 x −3 = ? A positive or negative number?

−22

The EXTERIOR angles of ANY polygon always adds up to the same number.

360°

A parallelogram has two pairs of parallel sides.

A parallelogram has 4 sides.

Remember BEDMAS (Do exponents before multiplication)

32

Square numbers are whole numbers multiplied by themselves e.g. 9 is a square number because 3 x 3 = 9

16, 25, 36, 49, 64, 81

There are 10 millimetres in a centimetre.

70 mm

Sum means "add"

15

To get started, add 3 to both sides of the equation.

3*x* − 3 = 21

3*x* = 24

*x* = 8

The 6 is in the "tenths" column.

6/10 = 3/5

Think carefully - are the diagonals axes of symmetry?

A parallelogram has NO axis of symmetry

There are 24 hours in a day.

15 x 24 = 360 seconds

= 6 minutes

How many eggs would ONE person need?

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 (1,1) then carry out each of the change.

(−1, 1)

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

6 faces each of area 4 square centimetres

Total surface area = 24 square centimetres

When multiplying by 1000, move the decimal point 3 places to the RIGHT.

9500

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

180°

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

0.46

Multiply 3 by *x* then
3 by −6

6*x* −18

Simplify the *x* terms first and then the numbers

6*x* + 9

To find the *x*% of an amount you multiply it by *x*/100

450 x 0.30 = 135

First find the area of the wall

Remember that 1 m = 100 cm

Eight cans of paint would be needed

Multipy numbers first and then the variables.

Be careful with *b* x *b*!

12*b*^{2}

Subtract 5 from both sides then divide both sides by 4.

*x* = 5

AB is NOT an arc, radius, diameter or sector.

AB is a chord

There are 10 mm in 1 cm

4.5 cm

Multiply and divide first before adding subtracting.

11

Do NOT multiply 3 by 3 !!!!

27

Do the exponent first!!

16

Write 50 out of 400 as a fraction i.e. 50/400

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

12.5%

Remember that squaring comes before multiplying by 2

8

Multiply 2 by 3 by 5

Easy!

30

Work out each bracket before adding.

970

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

121 cm = 1.21 metres

4 is a square number

2 is the first prime number.

3*ab* means 3 x *a* x *b*

18

2

Subtract 3 from both sides then divide both sides by 2.

*x* = 19

The area of a triangle is half of the base multiplied by the height.

300 cm^{2}

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

121

What is the probability that a number less than 3 comes up?

How many numbers on a six-sided die are less than 3?

Probability = 1/3

Careful! There are two answers

*x* = 4 or −4

Do the EXPONENT first then the MULTIPLYING!!

19

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

1.5 x 1.5 = 2.25

The perimeter of a shape is the distance around the outside of the shape.

Perimeter of square = 4 x 3 cm = 12 cm

0.45 means 45/100

0.45 = 45%

To find one quarter of anything divide it by 4

$150

Calculate 100 รท 400 and then multiply by 100

25%

Think of the area of a triangle as being half of that of a rectangle with a similar base and height.

Area of Triangle

A = 0.5 x *b* x *h*

(Work it out without your calculator!)

You could write 400 as 4 x 100

20

Work out each exponent first then multiply them together.

9 x 8 = 72

If the perimeter of a rectangle is 48 cm and its width is 6cm, how long is its other side?

180 cm^{2}

The exterior angles of ANY polygon add up to 360°

360 / 60 = 6

The polygon would have SIX sides. i.e. It is a regular hexagon.

A rhombus is a quadrilateral with two pairs of opposite parallel sides and all sides equal in length.

4 sides

20 − 5 + 9

Work from left to right.

24

Find 5% of $350,000 and add it on

OR

Multiply $350,000 by 1.05

$367,500

Multiply the amount by 0.9 (100 - 10)/100

OR

Work out 10% of $50,000 and subtract it.

$45,000

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

25°

2*ab* means 2 x *a* x *a*

12

To change a decimal to a percentage multiply by 100

54%

A square has four sides equal length.

64 square metres

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

150 metres

There are 1000 metres in 1 kilometre.

2000 metres

"Remember BEDMAS!" Do the multiplying first

23

What is the size of the other angle?

The inside angles of a triangle add up to 180°

39°

The median is the MIDDLE number when all the numbers are arranged in order.

median = 13

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

$125

Remember:

am means morning

pm means afternoon

20 hours

How many "parts" are there altogether?

$27

What is the total distance in kilometres?

"There are 1000 metres in a kilometre."

2 kilometres

The answer is NOT a rectangle

A square

Either use the fact that 30% is the same as three tenths

OR

Multiply 30 by 0.3

30 x 0.3 = 9

Choose from: acute, reflex and obtuse

*REFLEX angles are greater than 180°*

Speed = Distance/Time

80 kilometres/hour

Time = Distance / Speed

5 hours

"What? x What? = 81!"

The square root of 81 is 9 (because 9 x 9 = 81)

Is there a COMMON factor?

2(*x* + 4)

Prime numbers have only themselves and 1 as factors.

Yes, the only factors of 29 are 1 and 29.

There are 100 cm in 1 m

200 cm

To "square" a number multiply if by itself.

441

10% is one tenth of $240

or

multiply $240 by 0.10

$24

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 11 through to 33

Calculate 2 x 2 x 2

8

Choose from acute, obtuse and reflex.

You've been given a clue already!

Obtuse angle

What FRACTION is 50%

OR

Multiply 200 by 0.5

100

There are 10 parts altogether so divide 300 by 10. The biggest share will be 7 of those parts.

$210

Start from the inside bracket and work out.

50

No clues, too easy!

47°

Divide both sides by 3.

*x* = 5

The vertices are the corners of the shape.

A triangle has 3 vertices.

The mean of a set of numbers is calculated by adding all of the numbers together and then dividing by however many numbers there are.

The mean is 6

There are 1000g in 1kg

3000 grams

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

Surface area = 6 x 16

Combine the *x* terms and then the constant terms.

5*x* − 10

To find 20% of a quantity multiply it by 0.2. Remember there are 1000 g in 1 kg

400 grams of sugar

There are 1000 metres in one kilometre.

10 000 metres

5 L or 4000 mL

There are 1000 mL in a litre

5L is the bigger of the two!

There are 100 cm in 1 m

Each piece of wood is 20 cm thick.

(0.2)3 = 0.2 x 0.2 x 0.2

The statement is true

Work from left to right.

4p

Is 4.4 closer to 4 or 5 on the number line?

4

Axes of symmetry are like mirror lines. They divide a shape into two equal parts.

2

Multiply the numbers first and then the variables (letters).

6*p*^{2}

Substitute *y* = 2 and *z* = 4 in to get 2^{2} x 4 and work it out.

16

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

9

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

48 square centimetres

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

12 + 2*p*

Subtract 10 from both sides first.

*n* = 7

How many of the numbers on the die are greater than 4?

The numbers could be 5 or 6, giving a probability of 2/6 = 1/3

Write the answer as a fraction with a denominator of 7

Two days begin with T (Tuesday and Thursday)

This gives a probability of 2/7

Area of triangle = 0.5 x base x height

Area = 15 m^{2}

The volume of a cuboid is the length x the width x the height.

Volume = 144 cm^{3}

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 three places to the right.

8370

Work out the two brackets first.

300 + 300 = 600

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

Isoceles triangles have two equal sides.

1 m = 100 cm

300 centimetres

Axes of symmetry are mirror lines drawn through the shape that divide the shape into two equal parts.

An equilateral triangle has three axes of symmetry.

There are 24 hours in a day and 7 days in a week.

1680 seconds = 28 minutes. Not a very good clock!

Either:

Divide 2 by 25

or

Change the bottom line into hundredths

0.08

Draw a diagram. The perimeter is 2 x length + 2 x width

The width is 8 metres.

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

One axis of symmetry

Prime numbers have only two factors: Themselves and 1.

13 is the next prime number after 11.

2

Subtract 9 from both sides and then divide by 2.

*x* = 8

Distance = Speed x Time

The car travels 250 kilometres.

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

4 hours

Multiply the price by (100 − 10)/100 = 0.9

OR

Multiply by 0.1 and substract from $400.

$360

1 m = 100 cm

320 cm

Add 5 to both sides of the equation and then divide by 2.

*x* = 13

Work from left to right.

10*p*

3.9^{2} means 3.9 x 3.9

15.21

North is a bearing of 000°

Sounth is a bearing of 180°

270°

Remember BEDMAS. Squaring comes first!

64

The mean is the result of adding all of the numbers together and dividing by 6.

Mean = 6

Start from the innermost brackets.

6

Axes of symmetry are mirror lines which divide the shape into two equal parts.

A square has 4 axes of symmetry.

Note that the diagonals are axes of symmetry.

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

6 faces at 36 cm^{2} each = 216 cm^{2}

Which number multiplied by itself gives 36. (There are two answers!)

*x* = 6 or −6

Area of square = length x length

New area = 16 cm^{2}

Divide by 5

17 km/L

Change each fraction to twentieths

Three tenths is the smallest.

Remember BEDMAS. Multiply before Adding or Subtracting

15

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

6 cm

How many minutes in an hour? How many hours in a day?

5760 minutes

Add 4 to both sides and then divide by 5

5*x* − 4 = 16

5*x* = 20

*x* = 20/5

*x* = 4

Remember there are 60 minutes in an hour.

47 minutes

Faces are the surfaces.

A cube has 6 faces.

Prime numbers have only themselves and 1 as factors.

17

Area of triangle = 0.5 x base x height

Area = 20 cm^{2}

Multiples of 4 are numbers such as 4, 8 ,12 etc.

There are 4 multiples of four between 20 and 40:

24, 28 , 32 and 36.

Find the cost of ONE book first by dividing by 50, and then multiplying this amount by 30.

30 books would cost $480

A hexagon has 6 sides and a decagon has 10 sides.

An octagon has 8 sides.

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.)

Highest common factor is 4.

The median is the middle score when they are arranged in order.

The median is 6

The prefix "kilo" means a thousand.

6 000

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

180°

Volume of a rectangular prism = length x width x height

180 m^{3}

Subtract 3 from both sides of the equation then divide both sides by 2.

*x* = 4

Area of a rectangle = length x width

1650 m^{2}

Work out the volume of the pool in cubic metres (length x width x depth)

Then use 1 m^{3} = 1000 litres

500 000 litres of water would be needed to fill the pool.

Write out the multiples of 3 and 4 and find the lowest common one.

3, 6, ...

4, 8, ...

12 is the lowest common multiple of 3 and 4

An edge is where two faces meet.

There are 12 edges in a cuboid.

Are there any common factors?

4(*a* + 2*b* + 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 1000 milligrams in 1 gram and 1000 grams in 1 kilogram.

There are 2 000 000 mg in 2 kg.

Expand 2(*p* + 3)

5*p* + 2(*p* + 3) = 5*p* + 2*p* + 6

= __7 p + 6__

Remember BEDMAS! Do that exponent first!

68

Divide 64 by 4 and then work out what *x*^{2} has to be.

*x*^{2} = 16

so

*x* = +4 or −4

Multiply each of the terms inside the bracket by 3.

6*x* + 9

You'd better expand the brackets first.

2(*x* + 3) = 10

2*x* + 6 = 10

2*x* = 10 − 6

2*x* = 4

*x* = 2

The interior angles of a triangle add up to 180°

66°

The perimeter of a square is made up of the lengths of 4 equal sides.

The length of each side is 8 cm so the area of the square is 64 cm^{2}

The diagonals of a rhombus intersect (cross at right angles (90°).

Draw a diagram of a rhombus (a squashed square) and mark on the diagonals.

True

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

1. Add all of the numbers together.

2. Count how many numbers there are.

3. Divide the answer to part 1 by the answer to part 2. This is the mean.

The mean is 60/15 = 4

Draw a rectangle.

90°

Collect the p terms together and then the numbers.

10*p* − 9

Use BEDMAS (work out the exponent first)

7 + 3 − 9 = 1

Not as difficult as it sounds! The sum of the exterior angles of ANY polygon is 360°. In a pentagon there are 5 of them and they are all equal.

72°

3 + 2 x 2 = 10

Multiply before adding!

FALSE! The left hand side comes out to be 7 not 10.

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

The polygon has 360/36 = 10 sides

3(

Multiply each of the terms in the bracket by 3.

3*x* − 12

The 500 gram can is 4 times as heavy as the 125 gram can.

The 500 gram can is better value.

The possibilities are:

(H, H), (H, T), (T, H) and (T, T)

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

When she spends three quarters, what fraction is left?

1 − 3/4 = 1/4

So one quarter remains

Half of a quarter = 1/2 x 1/4 = 1/8

Find the missing inside angle of the triangle and then take it away from 180°

OR

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

*x = 97°*

There are two answers because:

"A negative number times a negative number = a positive number"

*x = −6 or +6*

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

0.5 m^{3}

What total is needed on 3 rounds to average 70?

She would need a round of 66 strokes!

List the factors of 42 and list the multiples of 7. Then find the biggest!

42

How many x are there? The sum of the angles in a quadrilateral is 360 degrees.

9*x* = 360

*x* = 40

The smallest angle is __40°__

Simplify the left hand side of the equation first to give

4*x* + 8 = 12

Now solve this equation.

*x* = 1

If the perimeter of the square is 44 cm, how long is each side?

The area would be:

11^{2} = 121 cm^{2}

Expected value = Number of people x Probability of not passing

600 would be expected NOT to pass.

When multiplying by 1000 move the decimal point 3 places to the...

3650

The angles in a triangle add up to 180°

50°

8(2

Multiply everything in the brackets by 8.

16*x* − 40

There are 1000 metres in 1 kilometre.

1 500 m = 1.5 km

$30, $20, $40, $30, $50 and $70?

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

Mean = $40