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## Purple questions are about STATISTICS

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### Question 1. How many sides does a pentagon have?

An octagon has 8 sides and a pentagon has fewer!

A pentagon has 5 sides.

Remember BEDMAS

3 x 16 x 5 = 240

### Question 3. Evaluate 6x − 4 if x = −3

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

−22

### Question 4. What is the sum of the exterior (outside) angles of a triangle? The EXTERIOR angles of ANY polygon always adds up to the same number.

360°

### Question 5. How many sides does a parallelogram have?

A parallelogram has two pairs of parallel sides.

A parallelogram has 4 sides.

### Question 6. Calculate 8 + 6 x 22

Remember BEDMAS (Do exponents before multiplication)

32

### Question 7. List the square numbers between 10 and 99.

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

### Question 8. How many millimetres in 7 centimetres?

There are 10 millimetres in a centimetre.

70 mm

15

### Question 10. Solve 3x − 3 = 21

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

3x − 3 = 21
3x = 24
x = 8

### Question 11. What is 0.6 as a fraction in its simplest form?

The 6 is in the "tenths" column.

6/10 = 3/5

### Question 12. How many axes of symmetry does a parallelogram have?

Think carefully - are the diagonals axes of symmetry?

A parallelogram has NO axis of symmetry

### Question 13. A clock loses 15 seconds every hour. How many minutes would it lose over a day?

There are 24 hours in a day.

15 x 24 = 360 seconds
= 6 minutes

### Question 14. A meal for 4 people uses 2 eggs. How many eggs are needed if the meal is to be made for 10 people? How many eggs would ONE person need?

5 eggs are needed

### Question 15. How many axes of symmetry does a regular hexagon have?

How many sides does a regular hexagon have?

Six sides and six axes of symmetry

### Question 16. What is the image of the point (1,1) after a reflection in the y-axis?

Draw a set of x-axis and y-axis and mark the point (1,1) then carry out each of the change.

(−1, 1)

### Question 17. How many square centimetres is the surface area of a cube of side 2 cm ?

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

### Question 18. Write 9.5 x 1000 as an ordinary number.

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

9500

### Question 19. What is the direction S as a bearing ?

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

180°

### Question 20. Write the fraction 46/100 as a decimal?

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

0.46

### Question 21. Expand 3(2x − 6)

Multiply 3 by x then 3 by −6

6x −18

### Question 22. Simplify 2x + 3 + 4x + 6

Simplify the x terms first and then the numbers

6x + 9

### Question 23. What is 30% of 450?

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

450 x 0.30 = 135

### Question 24. How many one litre cans of paint would you need to buy to paint a wall 4 metres by 8 metres with a coat of of paint if each can of paint covers 40 000 cm2?

First find the area of the wall
Remember that 1 m = 100 cm

Eight cans of paint would be needed

### Question 25. Simplify 3b x 4b

Multipy numbers first and then the variables.
Be careful with b x b!

12b2

### Question 26. Which is the solution for the equation 4x + 5 = 25

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

x = 5

### Question 27. What name is given to the line AB? AB is NOT an arc, radius, diameter or sector.

AB is a chord

### Question 28. A rain guage indicates a rainfall of 45 mm. What is this rainfall in centimetres ?

There are 10 mm in 1 cm

4.5 cm

### Question 29. Calculate 3 + 3 x 3 − 3 ÷ 3

Multiply and divide first before adding subtracting.

11

### Question 30. Calculate 33

Do NOT multiply 3 by 3 !!!!

27

### Question 31. What is the value of 2x3 if x = 2 ?

Do the exponent first!!

16

### Question 32. Express 50 as a percentage of 400.

Write 50 out of 400 as a fraction i.e. 50/400
and now change to a percentage by multiplying by...

12.5%

### Question 33. If x = 2, what is the value of 2x2?

Remember that squaring comes before multiplying by 2

8

### Question 34. If a = 3 and b = 5 what is the value of 2ab ?

Multiply 2 by 3 by 5
Easy!

30

### Question 35. Calculate (5.2 x 100) + (4.5 x 100)

Work out each bracket before adding.

970

### Question 36. Lengths of wood of 45 cm, 51 cm and 83 cm are cut from a piece 3 metres long. What length of wood remains?

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

121 cm = 1.21 metres

### Question 37. Is 2 a square number or a prime number?

4 is a square number

2 is the first prime number.

### Question 38. If a = 3 and b = 2, what is the value of 3ab ?

3ab means 3 x a x b

18

### Question 39. Solve the equation 2x + 3 = 41

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

x = 19

### Question 40. What is the area, in square centimetres, of a triangle whose base has been measured at 30 cm and whose height is 20 cm?

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

300 cm2

### Question 41. What is the square of 11?

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

121

### Question 42.A six-sided dice is thrownWhat 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

x = 4 or −4

### Question 44. Calculate 22 + 5 x 3

Do the EXPONENT first then the MULTIPLYING!!

19

### Question 45. What is the value of (1.5)2?

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

1.5 x 1.5 = 2.25

### Question 46. What is the perimeter of the square of side length 3 cm?

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

Perimeter of square = 4 x 3 cm = 12 cm

### Question 47. Express 0.45 as a percentage.

0.45 means 45/100

0.45 = 45%

### Question 48. Increase \$120 by one quarter of its value.

To find one quarter of anything divide it by 4

\$150

### Question 49. Express 100 as a percentage of 400.

Calculate 100 ÷ 400 and then multiply by 100

25%

### Question 50. Give the formula for the area of a triangle of base b and height h.

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

### Question 51. What is the square root of 400? (Work it out without your calculator!)

You could write 400 as 4 x 100

20

### Question 52. Evaluate 32 x 23 ?

Work out each exponent first then multiply them together.

9 x 8 = 72

### Question 53. A rectangle has a width of 6 cm and a perimeter of 48 cm. How many square centimetres in its area ?

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

180 cm2

### Question 54. Each exterior (outside) angle of a regular polygon is 60°.How many sides does the polydon have?

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.

### Question 55. How many sides does a rhombus have?

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

4 sides

### Question 56. Evaluate (find the value of) 20 − 5 + 9

Work from left to right.

24

### Question 57. If a house costs \$350,000 and it increases in one year by 5%, what will its new value be?

Find 5% of \$350,000 and add it on
OR
Multiply \$350,000 by 1.05

\$367,500

### Question 58. Decrease a salary of \$50,000 by 10%

Multiply the amount by 0.9 (100 - 10)/100
OR
Work out 10% of \$50,000 and subtract it.

\$45,000

### Question 59. Find x Use the rule that begins "The exterior angle of a triangle equals the sum of..."

25°

### Question 60. If a = 3 and b = 2 evaluate 2ab>

2ab means 2 x a x a

12

### Question 61. Write 0.54 as a percentage.

To change a decimal to a percentage multiply by 100

54%

### Question 62. The perimeter of a square is 32 metres. What is its area?

A square has four sides equal length.

64 square metres

### Question 63. The length of netball court is twice its width. If its length is 50 metres what is its perimeter

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

150 metres

### Question 64. How many metres in two kilometres?

There are 1000 metres in 1 kilometre.

2000 metres

### Question 65. Calculate 5 + 6 x 3

"Remember BEDMAS!" Do the multiplying first

23

### Question 66. Two of the angles in a triangle are 83° and 58°. What is the size of the other angle?

The inside angles of a triangle add up to 180°

39°

### Question 67. What is the median of the numbers 13, 15, 10, 12, 20?

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

median = 13

### Question 68. My friends and I share a prize in a raffle of \$500. There are 3 other people in the syndicate. How much did each of us win?

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

\$125

### Question 69. How many hours are there between 1.00 am and 9.00 pm on the same day?

Remember:
am means morning
pm means afternoon

20 hours

### Question 70. \$45 is shared between two people in the ratio 3 : 2. Jim gets the largest share. How many dollars does he get?

How many "parts" are there altogether?

\$27

### Question 71. TI walk 950 metres to school and go home the long way which is a distance of 1050 metres. What is the total distance in kilometres?

"There are 1000 metres in a kilometre."

2 kilometres

### Question 72. What is the name given to a quadrilateral with equal sides and all inside angles are 90 degrees?

The answer is NOT a rectangle

A square

### Question 73. What is 30% of 30?

Either use the fact that 30% is the same as three tenths
OR
Multiply 30 by 0.3

30 x 0.3 = 9

### Question 74.What name is given to an angle that is greater than 180°?

Choose from: acute, reflex and obtuse

REFLEX angles are greater than 180°

### Question 75. If it takes 10 hours to drive 800 km, what speed is this in kilometres/hour?

Speed = Distance/Time

80 kilometres/hour

### Question 76. If a car travels 300 km at an average speed of 60 km/hour, how long will the journey take?

Time = Distance / Speed

5 hours

### Question 77. What is the square root of 81?

"What? x What? = 81!"

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

### Question 78. Factorise 2x + 8

Is there a COMMON factor?

2(x + 4)

### Question 79. Is 29 a prime number?

Prime numbers have only themselves and 1 as factors.

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

### Question 80. How many centimetres are there in 2 metres?

There are 100 cm in 1 m

200 cm

### Question 81. Calculate 212

To "square" a number multiply if by itself.

441

### Question 82. What is 10% of \$240?

10% is one tenth of \$240
or
multiply \$240 by 0.10

\$24

### Question 83. How many two digit numbers can be made using the digits 1, 2 and 3?

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

### Question 84. Evaluate (2)3

Calculate 2 x 2 x 2

8

### Question 85. What type of angle is 139°? Choose from acute, obtuse and reflex.

You've been given a clue already!

Obtuse angle

### Question 86. What is 50% of 200?

What FRACTION is 50%
OR
Multiply 200 by 0.5

100

### Question 87. \$300 is divided among 2 friends in the ratio 3:7 What is the biggest share?

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

\$210

### Question 88. Calculate (10 + (10 + (10 + (10 + 10))))

Start from the inside bracket and work out.

50

### Question 89.Two angles are congruent. One of them is 47°, what is the size of the other?

No clues, too easy!

47°

### Question 90. Solve the equation 3x = 15

Divide both sides by 3.

x = 5

### Question 91. How many vertices does a triangle have?

The vertices are the corners of the shape.

A triangle has 3 vertices.

### Question 92. What is the mean of {7, 8, 6, 4, 5} ?

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

### Question 93. How many grams in 3 kg?

There are 1000g in 1kg

3000 grams

### Question 94. What is the surface area of a cube of side length 4 cm?

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

Surface area = 6 x 16

### Question 95. Simplify 3x − 5 + 2x − 5

Combine the x terms and then the constant terms.

5x − 10

### Question 96. A cake contains 20% sugar. How many grams of sugar are there in a 2 kg cake ?

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

400 grams of sugar

### Question 97. How many metres in 10 kilometres ?

There are 1000 metres in one kilometre.

10 000 metres

### Question 98. Which is the bigger? 5 L or 4000 mL

There are 1000 mL in a litre

5L is the bigger of the two!

### Question 99. 5 pieces of wood of the same size are stacked on top of each other. The stack is 1 metre high. What is the thickness (in cm) of each piece of wood ?

There are 100 cm in 1 m

Each piece of wood is 20 cm thick.

### Question 100. True or false? (0.2)3 = 0.008

(0.2)3 = 0.2 x 0.2 x 0.2

The statement is true

### Question 101. Simplify 9p − 4p + 5p − 6p

Work from left to right.

4p

### Question 102. What is 4.4 rounded to the nearest whole number?

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

4

### Question 103. How many axes of symmetry does a rectangle have?

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

2

### Question 104. Simplify 3p x 2p

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

6p2

### Question 105. Find the value of y2z when y = 2 and z = 4?

Substitute y = 2 and z = 4 in to get 22 x 4 and work it out.

16

### Question 106. If x = −3, what is the value of x2?

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

9

### Question 107. What is the area of a rectangle of size 3 cm by 4 cm if the length of each side is doubled?

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

48 square centimetres

12 + 2p

### Question 109. Solve the equation 2n + 10 = 24?

Subtract 10 from both sides first.

n = 7

### Question 110. What is the probability of throwing a number greater than 4 when a six-sided die is thrown?

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

### Question 111. What is the probability that a day of the week, chosen at random, begins with a T?

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

### Question 112. What is the area of the triangle? Area of triangle = 0.5 x base x height

Area = 15 m2

### Question 113. What is the volume of a solid cuboid of dimensions 3 cm by 8 cm by 6 cm?

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

Volume = 144 cm3

### Question 114. What is the value of x if the three inside angles of a triangle measure 55°, 67° and x°?

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

58°

### Question 115. What name is given to a triangle if all of the inside angles are equal?

Choose from scalene, isosceles or equilateral triangle.

Equilateral triangle

### Question 116. Write 8.37 x 1000 as a whole number

Move the decimal point three places to the right.

8370

### Question 117. Calculate (30 x 10) + (3 x 100)

Work out the two brackets first.

300 + 300 = 600

### Question 118. How many sides of equal length does an isosceles triangle have?

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

### Question 120. How many axes of symmetry does an equilateral triangle have?

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.

### Question 121. A clock gains 10 seconds every hour. How many minutes will it gain over a week? Give the answer to the nearest minute.

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

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

### Question 122. Write 2/25 as a decimal.

Either:
Divide 2 by 25
or
Change the bottom line into hundredths

0.08

### Question 123. The perimeter of a rectangle is 48 metres. If its length is 16 m what is its width?

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

The width is 8 metres.

### Question 124. How many axes of symmetry does and isoceles triangle have?

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

One axis of symmetry

### Question 125. What is the next prime number after 11?

Prime numbers have only two factors: Themselves and 1.

13 is the next prime number after 11.

### Question 126. Find a positive solution to the equation 2x + 9 = 25

Subtract 9 from both sides and then divide by 2.

x = 8

### Question 127. A car travels at 50 km/hr for 5 hours. How many kilometres does it travel?

Distance = Speed x Time

The car travels 250 kilometres.

### Question 128. 95 minutes + 145 minutes is equal to how many hours?

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

4 hours

### Question 129. A bike which normally costs \$400 is to be sold in a sale with a 10% discount. How much will it cost on sale?

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

### Question 131. Solve 2x − 5 = 21

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

x = 13

### Question 132. Simplify 8p − 2p − 3p + 7p

Work from left to right.

10p

### Question 133. Calculate 3.92 (without using a calculator)

3.92 means 3.9 x 3.9

15.21

### Question 134. Give the bearing equivalent to the compass direction of West

North is a bearing of 000°
Sounth is a bearing of 180°

270°

### Question 135. Find the value of 4x2 if x = 4

Remember BEDMAS. Squaring comes first!

64

### Question 136. What is the mean of {8, 6, 7, 3, 7, 5} ?

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

Mean = 6

### Question 137.   Calculate 3 + (3 + (3 − 3))

Start from the innermost brackets.

6

### Question 138.   How many axes of symmetry does a square have?

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.

### Question 139.What is the surface area of a cube of side 6 cm?

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

6 faces at 36 cm2 each = 216 cm2

### Question 140. Solve the equation x2 = 36

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

x = 6 or −6

### Question 141. If a square with sides 2 cm long is enlarged by a scale factor of 2, what is the AREA of the enlarged square?

Area of square = length x length

New area = 16 cm2

Divide by 5

17 km/L

### Question 143. Which is the smallest: three tenths, seven twentieths, or two fifths?

Change each fraction to twentieths

Three tenths is the smallest.

### Question 144. Calculate 9 + 5 x 2 − 4

Remember BEDMAS. Multiply before Adding or Subtracting

15

### Question 145. What is 2.8 cm + 3.6 cm rounded to the nearest cm?

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

6 cm

### Question 146. How many minutes are there in four days?

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

5760 minutes

### Question 147. Solve 5x − 4 = 16

Add 4 to both sides and then divide by 5

5x − 4 = 16
5x = 20
x = 20/5
x = 4

### Question 148. How many minutes are there between 5.42 pm and 6.29 pm on the same day?

Remember there are 60 minutes in an hour.

47 minutes

### Question 149.  How many faces does a cube have?

Faces are the surfaces.

A cube has 6 faces.

### Question 150. What is the next prime number after 13?

Prime numbers have only themselves and 1 as factors.

17

### Question 151. A triangle has a base of 10 cm and a perpendicular height of 4 cm. What is its area?

Area of triangle = 0.5 x base x height

Area = 20 cm2

### Question 152. How many multiples of 4 are there between 20 and 40?

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.

### Question 153. If 50 books cost \$800.00 What would 30 books cost?

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

30 books would cost \$480

### Question 154.  How many sides does an octagon have?

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

An octagon has 8 sides.

### Question 155.  What is the highest common factor of 12 and 16?

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.

### Question 156.  What is the median of {6, 8, 7, 5, 4}?

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

The median is 6

### Question 157.  6 kilograms = ....... g

The prefix "kilo" means a thousand.

6 000

### Question 158.  How many degrees do the interior angles of an equiltareral triangle add up to?

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

180°

### Question 159.  To dig a tunnel 30 m long, 3 m wide and 2 m high, how much earth, in cubic metres would have to be removed ?

Volume of a rectangular prism = length x width x height

180 m3

### Question 160.  Find x if 2x + 3 = 11

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

x = 4

### Question 161.  What is the area of a netball court 55 metres long and 30 metres wide?

Area of a rectangle = length x width

1650 m2

### Question 162.   To fill a rectangular-shaped pool 25 m long, 10 m wide and 2 m deep, how much water, in litres, would have to be used?

Work out the volume of the pool in cubic metres (length x width x depth)
Then use 1 m3 = 1000 litres

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

### Question 163. What is the lowest common multiple (LCM) of 3 and 4 ?

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

### Question 164. How many edges? An edge is where two faces meet.

There are 12 edges in a cuboid.

### Question 165. Factorise 4a + 8b + 12

Are there any common factors?

4(a + 2b + 3)

### Question 166. What size are the two smallest angles of a right-angled isosceles triangle?

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°

### Question 167. How many milligrams are there in 2 kilograms?

There are 1000 milligrams in 1 gram and 1000 grams in 1 kilogram.

There are 2 000 000 mg in 2 kg.

### Question 168.   Expand and simplify 5p + 2(p + 3)

Expand 2(p + 3)

5p + 2(p + 3) = 5p + 2p + 6
= 7p + 6

### Question 169.  Evaluate 4 + 4 x 42

Remember BEDMAS! Do that exponent first!

68

### Question 170.  What is the value of x if 4x2 is 64?

Divide 64 by 4 and then work out what x2 has to be.

x2 = 16
so
x = +4 or −4

### Question 171. Expand 3(2x + 3)

Multiply each of the terms inside the bracket by 3.

6x + 9

### Question 172. Solve 2(x + 3) = 10?

You'd better expand the brackets first.

2(x + 3) = 10
2x + 6 = 10
2x = 10 − 6
2x = 4
x = 2

### Question 173.   Two of the interior angles of a triangle are 73° and 41°. What is the size of the other angle?

The interior angles of a triangle add up to 180°

66°

### Question 174. What is the area of a square whose perimeter is 32 cm?

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 cm2

### Question 175. True or false? 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

### Question 176.  What is the mean (average) of the numbers: 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

### Question 177.  What is the size of the interior angles of a rectangle?

Draw a rectangle.

90°

### Question 178. Simplify 6p − 3 + 4p − 6

Collect the p terms together and then the numbers.

10p − 9

### Question 179.  Evaluate 7 + 3 − 32

Use BEDMAS (work out the exponent first)

7 + 3 − 9 = 1

### Question 180. What is the size of each exterior angle of a regular pentagon?

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°

### Question 181. True or false? 3 + 2 x 2 = 10

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

### Question 182.  The size of each exterior angle of a regular polygon is 36 degrees. How many sides does the polygon have?

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

The polygon has 360/36 = 10 sides

### Question 183. Expand (remove the brackets) 3(x − 4)

Multiply each of the terms in the bracket by 3.

3x − 12

### Question 184.  A 500 gram can of pears costs \$3.20, while a 125 gram can of the same fruit costs \$0.95. Which is better value?

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

The 500 gram can is better value.

### Question 185.  Two students toss a coin at the same time. What is the probability that both of the coins comes up heads?

The possibilities are:
(H, H), (H, T), (T, H) and (T, T)

### Question 186.  Anita spends three quarters of her money at the movies and a half of what is left on her lunch. What fraction of her money remains?

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

### Question 187.  Find the value of x 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°

### Question 188.  Find the two solutions to the equation x2 = 36

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

x = −6 or +6

### Question 189. Change 500 000 cubic centimetres into cubic metres.

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

0.5 m3

### Question 190. The mean of a golfer's first 2 rounds of the season is 72 strokes. How many strokes would she need on her next round to bring her average down to 70?

What total is needed on 3 rounds to average 70?

She would need a round of 66 strokes!

### Question 191. Give the largest number that is a multiple of 7 and also a factor of 42.

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

42

### Question 192. Find x How many x are there? The sum of the angles in a quadrilateral is 360 degrees.

9x = 360
x = 40
The smallest angle is 40°

### Question 193. Solve the equation x + 2 + 3x + 6 = 12

Simplify the left hand side of the equation first to give
4x + 8 = 12
Now solve this equation.

x = 1

### Question 194. The perimeter of a square is 44 cm. What is its area?

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

The area would be:
112 = 121 cm2

### Question 195. The probability of passing an examination is estimated at 0.4. If 1000 people sit the examination how many would you expect NOT to pass?

Expected value = Number of people x Probability of not passing

600 would be expected NOT to pass.

### Question 196. Write 3.65 x 1000 as an ordinary number.

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

3650

### Question 197. In a triangle there are three angles A, B and C . A is 105° and B is 25°. What is the size of angle C?

The angles in a triangle add up to 180°

50°

### Question 198. Expand (remove the brackets) 8(2x − 5)

Multiply everything in the brackets by 8.

16x − 40

### Question 199. Write 1500 metres in kilometres

There are 1000 metres in 1 kilometre.

1 500 m = 1.5 km

### Question 200. What is the mean or average of the following amounts: \$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