Libby started a meeting at 11:25 am.
The meeting finished at 1:22 pm.
How long did Libby's meeting go for?
`text(57 minutes)`  `text(63 minutes)`  `text(97 minutes)`  `text(117 minutes)` 




Aussie Maths Teachers: Save your time with SmarterMaths
Libby started a meeting at 11:25 am.
The meeting finished at 1:22 pm.
How long did Libby's meeting go for?
`text(57 minutes)`  `text(63 minutes)`  `text(97 minutes)`  `text(117 minutes)` 




`text(117 minutes)`
`text(One Strategy:)`
`text(11:25 pm to 12:00 pm = 35 minutes)`
`text(12:00 pm to 1:00 pm = 60 minutes)`
`text(1:00 pm to 1:22 pm = 22 minutes)`
`text(Meeting time = 35 + 60 + 22 = 117 minutes)`
Dostoy has 73 match sticks.
He uses 6 match sticks to make two small triangles.
What is the largest number of small triangles that Dostoy can make with his 73 match sticks?
`19`  `21`  `24`  `27` 




`24`
`text(3 match sticks are used for 1 triangle.)`
`text(Number of triangles)`  `= 73 ÷ 3` 
`= 24\ text(remainder 1)` 
`:.\ text(24 triangles.)`
Dorian and Ava save money each week.
Dorian saves $9 per week and Ava saves $6 per week.
After 9 weeks, how much more money has Dorian saved than Ava?
$ 
`$27`
`text(Dorian saves $3 more than Ava per week.)`
`:.\ text(Extra money saved after 9 weeks)`
`= 9 xx 3`
`= $27`
Which of these has the same value as 10.4?

`100 + 4` 

`10 + 4/100` 

`1+ 4/100` 

`10 + 4/10` 
`10 + 4/10`
`10 + 4/10`
Pinto needs 3 bars of chocolate to make a birthday cake.
He adds `1/4` bar of chocolate at a time in the recipe.
How many `1/4` bars of chocolate will he need to add?
`3`  `4`  `8`  `12` 




`12`
`4 xx 1/4`  `= 1\ text(bars)` 
`8 xx 1/4`  `= 2\ text(bars)` 
`12 xx 1/4`  `= 3\ text(bars)` 
`=>\ text(Pinto needs)\ 12 xx 1/4\ text(chocolate bars.)`
Kate uses 1 cup of flour to make one muffin.
She measures `1/3` cup each time.
How many `1/3` cups will she need to make 6 muffins?
`2`  `3`  `12`  `18` 




`18`
`3 xx 1/3\ text(cup)`  `= 1\ text(cupcake)` 
`6 xx 1/3\ text(cup)`  `= 2\ text(muffins)` 
`12 xx 1/3\ text(cup)`  `= 4\ text(muffins)` 
`18 xx 1/3\ text(cup)`  `= 6\ text(muffins)` 
`=>\ text(Kate needs 18)\ xx 1/3\ text(cups.)`
7.42 is equal to

`0.7 + 0.4 + 0.2` 

`7.0 + 0.4 + 0.2` 

`7 + 0.04 + 0.02` 

`7 + 0.4 + 0.02` 
`7 + 0.4 + 0.02`
`7 + 0.4 + 0.02`
Australia changed its currency from pounds to dollars in 1966.
Approximately how many years ago did this change occur?
`55`  `65`  `75`  `85` 




`55`
`text(1966 plus 55 years → 2021.)`
`text(The closest approximation is 55 years.)`
How many numbers between 8 and 51 are divisible by 6?
`5`  `6`  `7`  `8` 




`6`
`text(Listing the numbers divisible by 6 between 8 and 51:)`
`12,18,24,30,36,42,48`
`:.\ text(There are 7 numbers.)`
In one year, a motor company makes:
Write these as numbers in the boxes below:

cars 

trucks 
`text(13 082 cars)`
`text(5801 trucks)`
`text(13 082 cars)`
`text(5801 trucks)`
A second market research project also suggested that if the Westmall shopping centre were sold, each of the three centres (Westmall, Grandmall and Eastmall) would continue to have regular shoppers but would attract and lose shoppers on a weekly basis.
Let `R_n` be the state matrix that shows the expected number of shoppers at each of the three centres `n` weeks after Westmall is sold.
A matrix recurrence relation that generates values of `R_n` is
`R_(n+1) = TR_n + B`
`{:(quad qquad qquad qquad qquad qquad qquad qquad text(this week)),(qquad qquad qquad qquad qquad qquad quad \ W qquad quad G qquad quad \ E),(text(where)\ T = [(quad 0.78, 0.13, 0.10),(quad 0.12, 0.82, 0.10),(quad 0.10, 0.05, 0.80)]{:(W),(G),(E):}\ text(next week,) qquad qquad B = [(400), (700), (500)]{:(W),(G),(E):}):}`
The matrix `R_2` is the state matrix that shows the expected number of shoppers at each of the three centres in the second week after Westmall is sold.
`R_2 = [(239\ 060), (250\ 840), (192\ 900)]{:(W),(G),(E):}`
a.  `R_3`  `= TR_2 + B` 
`= [(0.78, 0.13, 0.1),(0.12, 0.82, 0.1),(0.10, 0.05, 0.8)][(239\ 060),(250\ 840),(192\ 900)]+[(400),(700),(500)] = [(237\ 966),(254\ 366),(191\ 268)]` 
`:. text(Expected Westmall shoppers) = 237\ 966`
b.  `R_2`  `= TR_1 + B` 
`R_1`  `= T^(1)[R_2  B]`  
`= [(241\ 000), (246\ 000), (195\ 000)]` 
`:. text(Expected Westmall shoppers) = 241\ 000`
Noel has a bowl full of red chewing gum balls and blue chewing gum balls.
The chance of randomly picking a red chewing gum ball is 85%.
What is the probability of randomly picking a blue chewing gum ball?
% 
`text(15%)`
`P(text(Red)) + P(text(Blue)) = 100text(%)`
`P(text(white))`  `= 100  85` 
`= 15text(%)` 
Tristan's laundry has a lost clothing basket that contains only black and white socks.
The probability of randomly picking a black sock from the basket is 35%.
What is the probability of randomly picking a white sock?
% 
`text(65%)`
`P(text(white)) + P(text(black)) = 100text(%)`
`P(text(white))`  `= 100  35` 
`= 65text(%)` 
A manufacturer makes horse floats.
The table below shows how many floats it makes each month.
The number of floats made grows each month and follows the rule:
Double the number made last month and deduct 4
How many horse floats are made in the 5th month?

22 

28 

32 

36 
`36`
`text(Using the rule:)`
`text(Floats made in 5th month)`  `= (20 xx 2)  4` 
`= 40  4`  
`= 36` 
Norman started cycling to stay fit.
The table below shows the distance he cycles on his rides.
The distance he cycles increases each ride and follows the rule:
Double the last distance and deduct 2.
What is the distance travelled by Norman on his 5th ride?

26 km 

30 km 

34 km 

36 km 
`34\ text(km)`
`text(Using the rule:)`
`text(Distance of 5th ride)`  `= (18 xx 2)  2` 
`= 36  2`  
`= 34\ text(km)` 
Lorenzo had a $10 note.
He decided to buy 13 tokens that are worth 60 cents each to play in the arcade.
How much change will he get?

$2.20 

$3.20 

$6.80 

$7.80 
`$2.20`
`text(Change)`  `= 10  (13 xx 0.60)` 
`= 10  7.80`  
`= $2.20` 
Jillian has $25 for buying some groceries.
At the supermarket, she bought 10 oranges that cost $0.25 each and 8 sweet potatoes that cost $1.50 each.
How much change will she get?

$7.50 

$9.50 

$10.50 

$12.50 
`$10.50`
`text(Total cost)`  `= (10 xx 0.25) + (8 xx 1.50)` 
`= 2.50 + 12.00`  
`= $14.50` 
`text(Change)`  `= 25.00  14.50` 
`= $10.50` 
A company ships crates overseas and calculates the cost of shipping per crate.
This company uses a formula for calculating the size and cost of shipping.
The formula is shown below:
Size = Length + Width + Height
The maximum size of crates to be shipped overseas is 350 cm.
Which of the following crates is oversized?
Length  Width  Height  

200  60  80 

150  130  90 

160  100  70 

130  120  100 
`text(Oversized: Length = 150, width = 130, height = 90)`
`text(Check each option:)`
`text(Option 1  200 + 60 + 80 = 340)`
`text{Option 2  150 + 130 + 90 = 370 (Oversized)}`
`text(Option 3  160 + 100 + 70 = 330)`
`text(Option 4  130 + 120 + 100 = 350)`
A delivery company uses a formula to determine the cost of shipping different sizes of boxes.
The formula they use is as follows:
Size of box = length + width + height
The maximum size that can be shipped is 240 cm.
Which box is oversized?
Length  Width  Height  

100  80  60 

70  60  90 

90  90  50 

90  110  50 
`text(Oversized: Length = 90, width = 110, height = 50)`
`text(Check each option:)`
`text(Option 1  100 + 80 + 60 = 240)`
`text(Option 2  70 + 60 + 90 = 220)`
`text(Option 3  90 + 90 + 50 = 230)`
`text{Option 4  90 + 110 + 50 = 250 (Oversized)}`
Kelly wants to give away some of the apples that came from her family’s farm.
The two small boxes shown below fit either 5 apples or 6 apples.
Kelly has 9 BOX A's and 10 BOX B's.
She shares the apples equally among 15 of her friends.
How many apples will each of her friends receive?

5 

7 

8 

104 

105 
`7`
`text{Total apples}`  `= (5 xx 9) + (6 xx 10) ` 
`= 45 + 60 `  
`= 105` 
`text{Apples per friend}`  `= frac{105}{15}` 
`= 7` 
John bought two different bags of bread rolls.
He bought 5 Bags A's and 10 Bag B's.
John then divided the bread rolls equally among 20 families.
How many bread rolls did each family receive?

4 

5 

6 

70 

80 
`4`
`text{Total bread rolls}`  `= (4 xx 5) + (6 xx 10) ` 
`= 20 + 60 `  
`= 80` 
`:.\ text{Bread rolls per family}`  `= frac{80}{20}` 
`= 4` 
A student needs 12 folder dividers for each subject.
This student is enrolled in 5 subjects.
A school supply store sells the folder dividers in packets of 8.
How many packets should the student buy?

4 

6 

7 

8 
`8`
`text{Dividers required } \ = 12 xx 5 = 60`
`:.\ text{Packets required}`  `= frac{60}{8}`  
`=7.5`  
`=8\ text{packets (round up)}` 
William needs 4 eggs for each cake he will bake.
He wants to make 12 cakes.
A certain store sells eggs in bags of 5.
How many bags must he buy in order to make 12 cakes?

8 

9 

10 

12 
`10`
`text{Eggs required} \ = 4 xx 12 = 48`
`:.\ text{Bags required}`  `= frac{48}{5}`  
`=9.6`  
`=10\ text{bags (round up)}` 
A regular decagon is folded in half along the dotted line.
The folded shape can be also called a?

hexagon 

dodecagon 

quadrilateral 

octagon 
`text{Hexagon}`
The folded shape has 6 sides → hexagon.
The time spent by Mark playing video games on his computer is recorded in a table.
What was the average time per day that Mark spent playing video games over this period?

41 minutess 

57 minutes 

63 minutes 

342 minutes 
`57 \ text{minutes}`
`text(1 hour = 60 minutes.)`
`text{Average time}`  `= frac{120+35+40+55+63+29}{6}` 
`= frac{342}{6}`  
`= 57 \ text{minutes}` 
The table shown below records Emily's jogging time over six days.
What was the average time Emily jogged each day?

48 minutes 

61 minutes 

288 minutes 

368 minutes 
`48 \ text{minutes}`
`text(1 hour = 60 minutes.)`
`text{Average time}`  `= frac{29+36+70+40+53+60}{6}` 
`= frac{288}{6}`  
`= 48 \ text{minutes}` 
Troy built a solid figure using cubes.
He paints all the outer sides red, including the base, and then separates the cubes.
How many faces are painted red?

24 

30 

34 

36 
`30`
`text{Number of faces painted blue (top down, back to front)}`
`=5+5+3+5+4+4+4`
`=30`
Sarah creates a solid figure using five cubes.
She paints all the outer sides blue, including the base, and then separates the cubes.
How many faces are painted blue?

18 

22 

24 

26 
`22`
`text{Number of faces painted blue (top down, back to front)}`
`=5+4+4+4+5`
`=22`
`12.5 xx Z = 2.5`
Find the value of `Z` in order to make this number sentence correct

1.35 

0.40 

5.0 

0.20 
`0.20`
`text{Check each option:}`
`12.5 xx 1.35 = 16.875 \ \ text{(Incorrect)}`
`12.5 xx 0.40 = 5 \ \ text{(Incorrect)}`
`12.5 xx 5.0 = 62.5 \ \ text{(Incorrect)}`
`12.5 xx 0.20 = 2.5 \ \ text{(Correct)}`
`therefore \ Z=0.2`
`1.36 xx B = 0.68`
Find the value of `B` that makes this number sentence correct.

0.75 

0.60 

0.50 

0.20 
`0.50`
`text{Check each option:}`
`1.36 xx 0.75 = 1.02 \ \ text{(Incorrect)}`
`1.36 xx 0.60 = 0.816 \ \ text{(Incorrect)}`
`1.36 xx 0.50 = 0.68 \ \ text{(Correct)}`
`1.36 xx 0.20 = 0.272 \ \ text{(Incorrect)}`
`therefore \ B = 0.50`
The results of a men's 100 metre swimming race is recorded in the table below.
What could be the finishing time of the 2nd placed swimmer?

46.28 seconds 

46.61 seconds 

46.48 seconds 

46.80 seconds 
`text{46.48 seconds}`
`text{The time of the 2nd swimmer must be between 46.37 and 46.52 seconds.}`
`therefore \ text{Time for 2nd could have been 46.48 seconds.}`
The result of a 100metre dash was recorded in the table shown below.
What could be the time of the runner in 3rd place?

13.85 seconds 

14.26 seconds 

14.58 seconds 

14.92 seconds 
`14.58 \ text{seconds}`
`text{The time of the 3rd runner must be between 14.29 and 14.84 seconds.}`
`therefore \ text{the time of the 3rd runner to finish was 14.58 seconds.}`
Lester schedules a company meeting twice every 5 working days.
Today is a working day.
What is the probability that there is a meeting scheduled?

`2/7` 

`0.40` 

`3/5` 

`text(25%)` 
`0.40`
`P`  `= text(Favorable Events)/text(Total Possible Events)` 
`= 2/5`  
`= 0.40` 
Laura's country hut is visited by a possum twice every week.
What is the probability that the possum visits her hut today?

`2/7` 

`2/5` 

`0.70` 

`text(25%)` 
`2/7`
`text{There are 7 days in a week.}`
`P`  `= text(Favorable Events)/text(Total Possible Events)` 
`= 2/7` 
Some shapes are missing in the pattern shown below.
When completed, the pattern has one line of symmetry
Which of these could be the pattern?







`text{The completed pattern is shown below.}`
Henry got lost on his way to visit his uncle’s house and made 3 Uturns before arriving.
In total, how many degrees does Henry turn through when making Uturns on his trip?

150° 

270° 

540° 

1080° 
`540^@`
`text{One Uturn rotates the car by 180}^@`
`:. 3\ text(Uturns)`  `= 3 xx 180` 
`= 540^@` 
During an XGames snowboarding competition, an athlete performed 4 full backward summersaults before landing back on the snow.
By how many degrees did the athlete rotate her body during this move?

360° 

920° 

1080° 

1440° 
`1440^@`
`text{One rotation = 360°}`
`:. 4\ text(back dives)`  `= 4 xx 360^@` 
`= 1440^@` 
A pack of sugar weighs `1/4` of a kilogram.
Josh bought 6 packs for baking.
How many kilograms of sugar did he buy?

`2/3` 

`1 1/2` 

`2 1/4` 

`3` 
`1 1/2`
`text{Weight of six packs}`  `= 6 xx 1/4` 
`= 6/4`  
`= 1 1/2\ text(kg)` 
A box of apples weighs `2/3` of a kilogram
Lou bought 3 boxes.
How many kilograms of apples did he bought?

`1 frac{4}{9} \ text{kg}` 

`2 \ text{kg}` 

`frac{8}{9} \ text{kg}` 

`2 frac{2}{3} \ text{kg}` 
`2\ text{kg}`
`text(Total kilograms)`  `=3 xx 2/3`  
`=6/3`  
`=2` 
A disk is thrown onto the table pictured below.
It has an equal chance of landing in any square.
Which numbered square is the disk least likely to land in?
3  4  5  same chance for each number 




`4`
` text{Only 1 square is numbered 4 (all other numbers have 2 squares).}`
`therefore \ text{Least likely to land in square 4}`
The tallest living giraffe is measured at five thousand, seven hundred and eight millimetres tall.
Write this as a number in the box below
millimetres
`5708 \ text{millimetres}`
`5708 \ text{millimetres}`
The exact length of great white shark is measured as five thousand and ninety six millimetres.
Write this as a number in the box below
millimetres
`5096 \ text{millimetres}`
`5096 \ text{millimetres}`
Two objects, each of mass `m` kilograms, are connected by a light inextensible strings that passes over a smooth pulley, as shown below. The object on the platform is initially at point A and, when it is released, it moves towards point C. The distance from point A to point C is 10 m. The platform has a rough surface and, when it moves along the platform, the object experiences a horizontal force opposing the motion of magnitude `F_1` newtons in the section AB and a horizontal force opposing the motion of magnitude `F_2` newtons when it moves in the section BC.
The force `F_1` is given by `F_1 = kmg, \ k ∈ R^+`.
Point B is midway between points A and C.
a. 
b. i. `text(Horizontally:)`
`ma = T  F_1 = T  kmg\ …\ (1)`
`text(Vertically:)`
`ma = mg  T\ …\ (2)`
`text(Add)\ \ (1) + (2) :`
`2ma = mg  kmg`
`:. a`  `= (g  kg)/2` 
`= (g(1  k))/2` 
b. ii. `text(System in motion when)\ a > 0`
`(g(1  k))/2 > 0`
`:. k ∈ (0, 1), \ k ∈ R^+`
c. `text(AB) = 5\ (text(given)), u = 0\ (text(given))`
`text(Find)\ t\ text(when)\ s = 5:`
`s = ut + 1/2at^2`
`5 = 0 + 1/2 · (g(1  k))/2 · t^2`
`t^2`  `= 20/(g(1  k))` 
`t`  `= sqrt(20/(g(1  k)))` 
`= 2sqrt(5/(g(1  k)))` 
d. `text(At B,)\ s = 5`
`v_text(B)^2`  `= u^2 + 2as` 
`= 0 + 2 · (g(1  k))/2 · 5`  
`= 5g(1  k)` 
`:. v_text(B) = sqrt(5g(1  k))`
e. `text(Acceleration is against the direction of motion.)`
`a`  `= −F/m` 
`= −0.075g  0.4v^2`  
`= −0.4(0.1875g + v^2)` 
`d/(dx)(1/2 v^2)`  `= −0.4(0.1875g + v^2)` 
`d/(dx)(v^2)`  `= −0.8(0.1875g + v^2)` 
`(dx)/(d(v^2))`  `= −1.25(1/(0.1875g + v^2))` 
`:. x`  `= −1.25 int_(2.5^2)^0 1/(0.1875 + v^2)\ dv^2` 
`= 1.85\ text(m)` 
`:.\ text(Distance from C)`  `= 5  1.85` 
`= 3.15\ text(m)` 
A pilot is performing at an air show. The position of her aeroplane at time `t` relative to a fixed origin `O` is given by
`underset~r_text(A) (t) = (450  150sin((pit)/6))underset~i + (400  200cos((pit)/6))underset~j`,
where `underset~i` is a unit vector in a horizontal direction, `underset~j` is a unit vector vertically up, displacement components are measured in metres and time `t` is measured in seconds where `t >= 0`.
A friend of the pilot launches an experimental jetpowered drone to take photographs of the air show. The position of the drone at time `t` relative to the fixed origin is given by `underset~r_text(D)(t) = (30t)underset~i + (−t^2 + 40t)underset~j`, where `t` is in seconds and `0 <= t <= 40, underset~i` is a unit vector in the same horizontal direction, `underset~j` is a unit vector vertically up, and displacement components are measured in metres.
a.  `underset~r_text(A)′(t)`  `= −25picos((pit)/60)underset~i + 100/3pisin((pit)/6)underset~j` 
`= (25pi)/3(−3cos((pit)/6) + 4sin((pit)/6))` 
`underset~r_text(A)′(t)`  `= (25pi)/3 sqrt(9cos^2((pit)/6) + 16sin^2((pit)/6))` 
`= (25pi)/3 sqrt(9 + 7sin^2((pit)/6))` 
`:. underset~r_text(A)′(t)_text(max)`  `= (25pi)/3 sqrt(9 + 7)` 
`= (100pi)/3\ text(ms)^(−1)` 
b. i. `x = 450  150 sin((pit)/6) \ => \ sin((pit)/6) = (450  x)/150`
`sin^2((pit)/6) = ((x  450)^2)/(22\ 500)`
`y = 400  200cos((pit)/6) \ => \ cos((pit)/6) = (400  y)/200`
`cos^2((pit)/6) = ((y  400)^2)/(40\ 000)`
`text(Using)\ \ sin^2theta + cos^2theta = 1:`
`((x  450)^2)/(22\ 500) + ((y  400)^2)/(40\ 000) = 1`
b. ii. `text(When)\ x = 450, \ y = 200, 600`
`text(When)\ y = 400, \ x = 300, 600`
`text(As)\ \ t > 1, \ x↓, \ y↑`
`:.\ text(Motion is clockwise.)`
c. `x = 30t \ => \ t = x/30`
`y`  `= −t^2 + 40t` 
`= −(x^2)/900 + 4/3 x` 
d. `text(The graph shows 2 points where the paths cross.)`
`text(Consider)\ (316, 310):`
`text(Drone passes through when)`
`t = 316/30 ~~ 10.53\ text(seconds)`
`text(Plane passes through when)`
`450  150sin((pit)/6) = 316 \ => \ t ~~ 12.85\ text{seconds (no contact)}`
`text(Similarly, consider)\ (600, 400):`
`text(Drone passes through when)`
`t = 600/30 = 20\ text(seconds)`
`text(Plane passes through when)`
`400  200cos((pit)/6) = 400 \ => \ t = 10\ text(or)\ ~~ 14.7\ text{seconds (no contact)}`
`:.\ text(Drone will not make contact with the plane.)`
A spinning wheel has sections labelled with different numbers.
Which of the numbers in the wheel is the spinner most likely to land on?

1 or 3 

1 

2 or 4 

All of the colours are equally likely 
`text{All of the colours are likely to land on}`
`text{S}text{ince the spinner is divided into 8 equal parts and each colour has}`
`text{2 parts → all colours are equally likely.}`
A spinning wheel has 3 different colours.
Which colour in the wheel is most likely to land on?

White 

Black 

Grey 

All of the colours are equally likely 
`text{Grey}`
`text{By inspection, grey is the most likely as it it shades the}`
`text{largest area of the wheel.}`
A circle is divided into 8 equal parts, as shown in the image below.
What percentage of the circle’s area has been labelled with letters?

30% 

37.5% 

42.5% 

45% 

47.5% 
`text(37.5%)`
`text(S)text(ince all areas are equal:)`
`text(Percentage)`  `= text(Number of letters)/text(Total number of sections) xx 100` 
`= 3/8 xx 100`  
`= 37.5text(%)` 
Yohan was driving from the hospital to his house.
What directions best describe Yohan’s travel from the hospital to his house?

East, northeast, north 

West, northwest, north 

East, northeast, south 

West, northwest, south 
`text(East, northeast, north)`
`text(The directions travelled by Yohan:)`
`text(The direction was East, NorthEast, and North)`
A man drives from his house to his office.
What directions best describe his way to the office?

North, northwest, west, southwest 

North, northeast, east, southeast 

North, northeast, east, south 

North, northwest, east, southeast 
`text(North, northeast, east, southeast)`
Four triangular shaped playgrounds are shown below.
Which of these play grounds has the least surface area?







`text(Check each option:)`
`text(Option 1 )\ \ 1/2 xx 34 xx 15 = 255\ text(m)^2`
`text(Option 2 )\ \ 1/2 xx 20 xx 26 = 260\ text(m)^2`
`text(Option 3 )\ \ 1/2 xx40 xx 18 = 360\ text(m)^2`
`text(Option 4 )\ \ 1/2 xx28 xx 25 = 350\ text(m)^2`
`:.\ text(The backyard with the least area is:`
In a suburb, four families measured the dimensions of their rectangular backyards.
Which backyard has the largest area?







`text(Checking each option:)`
`text(Option 1:)\ 11 xx 18 = 198 text(m)^2`
`text(Option 2:)\ 16 xx 6 = 96 text(m)^2`
`text(Option 3:)\ 15 xx 10 = 150 text(m)^2`
`text(Option 4:)\ 14 xx 12 = 168 text(m)^2`
`:. text(The backyard with the largest area is the)\ 11\ text(m) xx 18\ text(m)`
`text(with a total area of 198 square metres.)`
A store sells second hand mobile phones.
The graph below shows the price of 2 similar secondhand phones.
Which of the following is true based on the graph shown?

Phone A is older and less expensive than Phone B 

Phone B is older and more expensive than phone A 

Phone A is newer and more expensive than Phone B 

Phone A is older and more expensive than Phone B 
`text(Phone A is newer and more expensive than Phone B)`
`text(Phone A is left of Phone B → it is newer.)`
`text(Phone A is higher than Phone B → it is more expensive.)`
`:.\ text(Phone A is newer and more expensive than Phone B.)`
A man bought a plot of land in the past and now he is selling it.
The graph marks the price of the land when the man bought it and the price of the land now.
Which of the following is true based on the graph shown?

The land is less expensive now than years ago. 

The land is more expensive years ago than now. 

The land is more expensive now than years ago. 

The price of the land does not change with time. 
`text(The land is more expensive now than years ago.)`
`text(Z is further right on the xaxis → most recent price.)`
`text(Z is higher on the yaxis → more expensive.)`
`:.\ text(The land is more expensive now than years ago.)`
A circle is divided into 8 equal parts, as shown in the diagram below.
What percentage of the circle’s area has been labelled with even numbers?

37.5% 

50% 

57.5% 

62.5% 

70% 
`text(62.5%)`
`text(S)text(ince all areas are equal:)`
`text(Percentage)`  `= text(Number of even numbers)/text(Total number of sections) xx 100` 
`= 5/8 xx 100`  
`= 62.5text(%)` 
Julian was driving into town and hit a kangaroo `3/4` of a kilometre into his trip.
Which of these represent where Julian hit the kangaroo?







`text(Each spacing is worth)\ 1/4\ text(km.)`
Axe went jogging and stopped after `2/6` of a kilometre to take a rest.
Which of these represents where Axe stopped jogging?







`text(Each spacing is worth)\ 1/6\ text(km.)`
What number is exactly halfway between `4 frac{1}{4}` and `6 frac{3}{4}`

`4 frac{3}{4}`  

`5`  

`5 frac{1}{4}`  

`5 frac{1}{2}` 
`5 frac{1}{2}`
`text{Halfway}`  `= (4 frac{1}{4} + 6 frac{3}{4}) \ div 2`  
`= 11/2`  
`= 5 frac{1}{2}` 