Selective school mathematics sample test

se Et do uN tensi cs er e PP e re feci ct tc ioar nP

Selective School Mathematics Sample Test

www.notesedu.com.au 1

Q 1. Nicole packed 5 Christmas gift separately in small boxes that are 4 cmlong, 5 cm wide and 3 cm high. To send these gifts to New York she has topack them into a carton that is 12 cm long, 5 cm wide and 6 cm high. Howmany more small boxes can she pack into the carton?

6 1 2 5

Q 2. A bike bigger toothed wheel with 30 cm diameter is attached to a smallertoothed wheel of diameter 10 cm with a chain. How many revolutions will thesmaller wheel will make when the bigger one makes 18 revolutions?

27 36 54 25

Q 3. Boeing 747 passenger aeroplane fly at a speed of 260 m/sec and it fliesfrom Sydney to Auckland in 4 hours. To reach Auckland in 3 hours, it must flyat a speed of:

347 m/sec 500 m/sec 225 m/sec 447 m/sec

Q 4. The traffic lights at three different road crossings change after every 5min, 6 min, and 7 min respectively. If they all change simultaneously at 8:20am then at what time will they again change simultaneously?

11:50 AM 10:50 AM 11:25 AM 11:50 PM

Q 5. In a Cole’s promotion, Ming Rong received an '8 cent per litre discount'petrol voucher after spending $110.00. On the way, he bought 39.9 litres ofpetrol at 142.9 cents per litre from Shell Petrol Station. He used the Colespetrol concession voucher. Find the approximate amount he paid.

57 54 164 110

Q 6. X is a circle with radius 8 cm, and Y is a circle with radius 6 cm. Danielwants the two circles to touch tangentially (touch at one point). He knowsthat there are two possibilities for the distance between their centers. Whatare these two distances?

2 cm and 8cm

3 cm and5 cm

2 cm and14 cm

6 cm and 8cm

Q 7. The difference of the sum of even numbers and sum of odd numbers from1 and 20 is

20 54 40 10




Q 8. Find the odd one out from the series 121, 144, 169, 196, 225, 256, 279

256 279 196 121

Q 9. A clock is started at noon. By 10 minutes past 6, the hour hand hasturned through:

185degrees

135degrees

175degrees

180degrees

Q 10. In a public school 750 students were enrolled in 2012. Each class hadequal number of students. The school principal expects to collect $100 fromeach student. Answer the questions from 29 to 32 on the base of the datashown in the table

What percentage of students had not paid the donation in 2013?

10% 15% 40% 5%




Answer 1:

The bigger carton is 12 cm long and small box is 4 cm long; so along length itcan fix 12/4 = 3 small boxes; In width the bigger box can only allow one boxbecause the width is similar in both cases; since height of carton is double ofsmall box so it can stack one box on top of other. So in total 2 small boxes; totalsmall boxes inside the carton 3*1*2 = 6; so it can accommodate one smallerbox

Answer 2:

Distance covered by bigger wheel = 2 ∏ R = 2 ∏ 15 = 30 ∏ ; distance covered by smaller wheel =2 ∏ R = 2 ∏ 5 = 10 ∏ ;

Let smaller wheel make X revolutions when the bigger makes� × 10� = 18 × 30 �∴ � = 54

Answer 3:

Speed = 260 m/sec = 260 *18 /5 = 936 km/hr;Distance between Sydney and Auckland = speed * time = 936 * 4 = 3744 kms,Speed required to travel in 3 hrs = 3744/3 = 1248 km/sec = 1248 *5/18 =346.66 m/sec which is same as the speed of sound.

Answer 4:

Interval of change = LCM of 5, 6 and 7 = 210 min = 210/60 =3.5 hrs = 3 hrsand 30 minutes; Hence the next simultaneous change will take place at 8:20 am+ 3 hrs and 30 minutes = 11:50 am

Answer 5:

Petrol Price =143 cents / litre; Discounted price with Coles Petrol Voucher =143-8 =135 cents/litre; Ming bought 40 litres of petrol. Approximate cost = 135x 40 = $54




Answer 6:

Circle with centre x has a radius 8cm and circle with centre y has radius is 6 cm.When the two circle are tangent (touch each other at one point) the differencebetween the centre of two circle = 8-6=2 cm and 8+6 = 14 cm

Answer 7:

NOTE: Sum of consecutive numbers = n(n+1)/2; for example 1+2+3...+20 =20* (20+1)/2 = 210; Sum of even numbers = n(n+1) for example sum of evennumber from 1 to 20 = 10*(10+1)=110; Sum of odd numbers = n*n forexample sum of odd number from 1 to 20 = 10*10=100

Answer 8:

The patter = Number2

112, 122 132 142 152 162 172 182 192 202

121, 144, 169, 196, 225, 256, 289, 324, 361, 400

Answer 9:

Angle traced by hour hand in 6 hrs 10 min

= � +� �

� �=

� �

�

=� � �

� �×� �

�= 185� � � � � � �

Answer 10:

Donation collected $67500, total expected $75000, deficit = 75000-67500=7500, number of students who had not paid donation = 7500/100 = 75;%of student who had not paid the donation = (75/750) *100 = 10%


Selective School Mathematics

www.notesedu.com.au

To get more information about NotesEdu and selective test please visit

http://www.notesedu.com.au/index.php/online

www.slideshare.com/NotesEduOz

https://twitter.com/@noteseduau

https://www.facebook.com/pages/NotesEdu/1466921030224189

http://www.pinterest.com/notesedu/

http://www.youtube.com/channel/UCupFTpp5pMZ4dmmcHDp8HMg

Don’t forget to watch NotesEduYouTube.

NOTE: If you are below 13 years of age,Twitter, Facebook or Pinterest

To test your knowledge and gain confidence in Selective SchoolNotesEdu free selective & scholarship test (FSST) or subscribe premium selective& scholarship test (PSST).

Again thank you for downloading and practicing the Selective School Test.


www.notesedu.com.au


http://www.notesedu.com.au/index.php/online-test

www.slideshare.com/NotesEduOz





NotesEdu other videos on Selective Test series on

f you are below 13 years of age, please don’t follow us onTwitter, Facebook or Pinterest.

To test your knowledge and gain confidence in Selective School Tests subscribeNotesEdu free selective & scholarship test (FSST) or subscribe premium selective& scholarship test (PSST).


Sample Test

5


test



other videos on Selective Test series on

please don’t follow us on Slideshare,

Tests subscribeNotesEdu free selective & scholarship test (FSST) or subscribe premium selective







http://www.slideshare.com/NotesEduOz





Documents

Selective school mathematics sample test