team round

Team Round

This round will last for approximately 60 minutes – there is no break!

There are 18 questions of varying difficulty.

Each question has a time limit in which to complete it.

Team Round

For each question that is answered correctly you get the:

time allowed in minutes × 2 marks.Only answers are required – it is not necessary to show any working out.

Once the time limit is up you must hand in the correct piece of white paper with the answer filled in where indicated.

You have 18 answer sheets – one for each question.

Each answer sheet also gives the question number and your team name and team number..

Each team also has 6 sheets of joker paper - each is an opportunity to gain bonus marks.If you have answered a question correctly within the joker time allowed you can write your answer on the pink paper and then hold this paper up to be collected. If you have answered the question correctly you will gain 5 bonus marks plus the marks for the question.But remember – you only have six of these attempts for bonus marks.

Are there any questions?

You have 1 minute forquestion 1.

Joker time: 30 secs

Two numbers differ by 8 and have a sum 88. What is the ratio of the larger number to the smaller in its simplest form?

Team Round

Question 1

Time: 60 secsJoker: 30 secs00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Please hand in your answer.

You have 1 minute forquestion 2.

Joker time: 30 secs

What is the area of the triangle shown here?

3y

y

30

Team Round

Question 2

Time: 60 secsJoker: 30 secs00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Please hand in your answer.

You have 2 minutes forquestion 3.

Joker time: 50 secs

Three positive integers a, b and c, where a < b < c, are such that their median is 11, their mean is 9 and their range is 10. Find the value of a.

Team Round

Question 3

Time: 2 minsJoker: 50 secs01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Three positive integers a, b and c, where a < b < c, are such that their median is 11, their mean is 9 and their range is 10. Find the value of a.

Team Round

Question 3

Time: 2 minsJoker: 50 secs00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Please hand in your answer.

You have 1 minute forquestion 4.

Joker time: 30 secs

A straight line AE divides the rectangle ABCD into two parts whose areas are in the ratio 1 : 7. Find the ratio of the lengths AE : ED

AE

D C

B

Team Round

Question 4

Time: 60 secsJoker: 30 secs00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Please hand in your answer.

You have 2 minutes forquestion 5.

Joker time: 1 min

You are given six numbers 3, _, _, _, _, 80. Each number in the sequence is the sequence after the first two is formed by adding all the previous terms? What is the sum of the four missing numbers?

Team Round

Question 5

Time: 2 minsJoker: 1 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Time: 2 minsJoker: 1 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

You are given six numbers 3, _, _, _, _, 80. Each number in the sequence is the sequence after the first two is formed by adding all the previous terms? What is the sum of the four missing numbers?

Question 5

Please hand in your answer.

You have 2 minutes forquestion 6.

Joker time: 1 min

The area of the shaded triangle is 5 square units. What is the area of the un-shaded trapezium? Team

Round

Question 6

Time: 2 minsJoker: 1 min01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

3

4

Team Round

Time: 2 minsJoker: 1 min00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

The area of the shaded triangle is 5 square units. What is the area of the un-shaded trapezium?

Question 6

3

4

Please hand in your answer.

You have 2 minutes forquestion 7.

Joker time: 1 min

I need to buy 12 DVD’s for my film collection. They normally cost 450 Baht each, but a number of shops have “special offers”. Which of these is the best deal?A: Pay only three quarters of the normal price!B: Buy two – get one free!C: Two for the price of four!D: One fifth off all prices!E: 30% price cut Team

Round

Question 7

Time: 2 minsJoker: 1 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Time: 2 minsJoker: 1 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

I need to buy 12 DVD’s for my film collection. They normally cost 450 Baht each, but a number of shops have “special offers”. Which of these is the best deal?A: Pay only three quarters of the normal price!B: Buy two – get one free!C: Two for the price of four!D: One fifth off all prices!E: 30% price cut Team

Round

Question 7

Please hand in your answer.

You have 3 minutes forquestion 8.

Joker time: 2 mins

The diagram shows two concentric circles of radii r and 2r respectively. What is the ratio of the total shaded area to the total unshaded area?

Team Round

Question 8

Time: 3 minsJoker: 2 mins02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Time: 3 minsJoker: 2 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

The diagram shows two concentric circles of radii r and 2r respectively. What is the ratio of the total shaded area to the total unshaded area?

Team Round

Question 8

Time: 3 minsJoker: 2 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

The diagram shows two concentric circles of radii r and 2r respectively. What is the ratio of the total shaded area to the total unshaded area?

Team Round

Question 8

Please hand in your answer.

You have 3 minutes forquestion 9.

Joker time: 1 min 30 s

Question 9

Team Round

The first two scales shown are perfectly balanced. How many squares will be needed on the right of the third scales so that the scales balance?

Time: 3 minsJoker: 1 min 30 s02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

?

Question 9

Team Round

The first two scales shown are perfectly balanced. How many squares will be needed on the right of the third scales so that the scales balance?

Time: 3 minsJoker: 1 min 30 s01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

?

Question 9

Team Round

The first two scales shown are perfectly balanced. How many squares will be needed on the right of the third scales so that the scales balance?

Time: 3 minsJoker: 1 min 30 s00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

?

Please hand in your answer.

You have 2 minutes forquestion 10.

Joker time: 1 min

In the right-angled triangle ABC, DB = 12 cm, DC = 15 cm and AD = BC. What is the area of triangle ACD?

A BD

C Team Round

Question 10

Time: 2 mins Joker: 1 min01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Time: 2 mins Joker: 1 min00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

In the right-angled triangle ABC, DB = 12 cm, DC = 15 cm and AD = BC. What is the area of triangle ACD?

A BD

C

Question 10

Please hand in your answer.

You have 3 minutes forquestion 11.

Joker time: 2 mins

Jill runs around a circular track taking 80 seconds for each lap. Jack runs in the opposite direction and meets Jill every 30 seconds. How long does Jack take for each lap?

Team Round

Question 11

Time: 3 minsJoker: 2 mins02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Time: 3 minsJoker: 2 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Jill runs around a circular track taking 80 seconds for each lap. Jack runs in the opposite direction and meets Jill every 30 seconds. How long does jack take for each lap?

Question 11

Team Round

Time: 3 minsJoker: 2 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Jill runs around a circular track taking 80 seconds for each lap. Jack runs in the opposite direction and meets Jill every 30 seconds. How long does jack take for each lap?

Question 11

Please hand in your answer.

You have 3 minutes forquestion 12.

Joker time: 1 min 30s

ABCDEF is a regular hexagon of area 360. What is the area of the kite-shaped figure ABCE? A

E D

C

B

F

Team Round

Question 12

Time: 3 minsJoker: 1 min 30 s02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Time: 3 minsJoker: 1 min 30 s01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

ABCDEF is a regular hexagon of area 360. What is the area of the kite-shaped figure ABCE? A

E D

C

B

F

Question 12

Team Round

Time: 3 minsJoker: 1 min 30 s00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

ABCDEF is a regular hexagon of area 360. What is the area of the kite-shaped figure ABCE? A

E D

C

B

F

Question 12

Please hand in your answer.

You have 4 minutes forquestion 13.

Joker time: 2 min

The curve y = x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y = ax2 + bx + c?

Team Round

Question 13

Time: 4 minsJoker: 2 mins03 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Time: 4 minsJoker: 2 mins02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

The curve y = x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y = ax2 + bx + c?

Question 13

Team Round

Time: 4 minsJoker: 2 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

The curve y = x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y = ax2 + bx + c?

Question 13

Time: 4 minsJoker: 2 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

The curve y = x2 - 6x +13 is rotated through 180° about the origin. What is the equation of the new curve in the form y = ax2 + bx + c?

Question 13

No more joker

Please hand in your answer.

You have 4 minutes forquestion 14.

Joker time: 2 mins

Team Round

Question 14Pinkie and Perky are each given a 100g chocolate bar. They start eating their chocolate at the same time, but Pinkie eats hers three times as fast as Perky. When Perky has two times as much as has Pinkie, what faction of the chocolate bar has Pinkie eaten?

Time: 4 minsJoker: 2 mins03 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Question 14Pinkie and Perky are each given a 100g chocolate bar. They start eating their chocolate at the same time, but Pinkie eats hers three times as fast as Perky. When Perky has two times as much as has Pinkie, what faction of the chocolate bar has Pinkie eaten?

Time: 4 minsJoker: 2 mins02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Question 14Pinkie and Perky are each given a 100g chocolate bar. They start eating their chocolate at the same time, but Pinkie eats hers three times as fast as Perky. When Perky has two times as much as has Pinkie, what faction of the chocolate bar has Pinkie eaten?

Time: 4 minsJoker: 2 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Team Round

Question 14Pinkie and Perky are each given a 100g chocolate bar. They start eating their chocolate at the same time, but Pinkie eats hers three times as fast as Perky. When Perky has two times as much as has Pinkie, what fraction of the chocolate bar has Pinkie eaten?

Time: 4 minsJoker: 2 minsNo more joker00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Please hand in your answer.

You have 4 minutes forquestion 15.

Joker time: 2 mins

In the diagram, AB, CB and XY are tangents to the circle with centre O and

36 .ABC What is the size of ?XOY

O

C

A

B

X

Y

36

Team Round

Question 15

Time: 4 minsJoker: 2 mins03 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Time: 4 minsJoker: 2 mins02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

In the diagram, AB, CB and XY are tangents to the circle with centre O and

36 .ABC What is the size of ?XOY

O

C

A

B

X

Y

36

Team Round

Question 15

Time: 4 minsJoker: 2 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

In the diagram, AB, CB and XY are tangents to the circle with centre O and

36 .ABC What is the size of ?XOY

O

C

A

B

X

Y

36

Team Round

Question 15

No more joker

Time: 4 minsJoker: 2 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

In the diagram, AB, CB and XY are tangents to the circle with centre O and

36 .ABC What is the size of ?XOY

O

C

A

B

X

Y

36

Team Round

Question 15

Please hand in your answer.

You have 3 minutes forquestion 16.

Joker time: 1 min 30s

In a sponsored “Animal Sprint” the cheetah ran at 80 km/hr while the snail slimed along at 30 hr/km. The cheetah kept going for 24 seconds. Roughly how long would the snail take to cover the same distance?

Team Round

Question 16

Time: 3 minsJoker: 1 min 30 s02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

In a sponsored “Animal Sprint” the cheetah ran at 80 km/hr while the snail slimed along at 30 hr/km. The cheetah kept going for 24 seconds. Roughly how long would the snail take to cover the same distance?

Team Round

Time: 3 minsJoker: 1 min 30 s01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Question 16

In a sponsored “Animal Sprint” the cheetah ran at 80 km/hr while the snail slimed along at 30 hr/km. The cheetah kept going for 24 seconds. Roughly how long would the snail take to cover the same distance?

Team Round

Time: 3 minsJoker: 1 min 30 s00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Question 16

Please hand in your answer.

You have 5 minutes forquestion 17.

Joker time: 2 mins 30s

2

2

What is the radius of the shaded semicircle in the right-angled triangle? Team

Round

Question 17

Time: 5 minsJoker: 2 min 30 s04 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Team Round

Time: 5 minsJoker: 2 min 30 s03 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

2

2

What is the radius of the shaded semicircle in the right-angled triangle?

Question 17

Team Round

Time: 5 minsJoker: 2 min 30 s02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

2

2

What is the radius of the shaded semicircle in the right-angled triangle?

Question 17

Team Round

Time: 5 minsJoker: 2 min 30 s01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

2

2

What is the radius of the shaded semicircle in the right-angled triangle?

Question 17

Time: 5 minsJoker: 2 min 30 s00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

Team Round

2

2

What is the radius of the shaded semicircle in the right-angled triangle?

Question 17

Please hand in your answer.

You have 6 minutes forquestion 18.

Joker time: 4 mins

What is the sum to infinity of the convergent series

1 1 2 3 5 8 13 21 34 ?3 6 12 24 48 96 192 384 768

Team Round

Question 18

Time: 6 minsJoker: 4 mins05 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Time: 6 minsJoker: 4 mins04 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

What is the sum to infinity of the convergent series

1 1 2 3 5 8 13 21 34 ?3 6 12 24 48 96 192 384 768

Team Round

Question 18

Time: 6 minsJoker: 4 mins03 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

What is the sum to infinity of the convergent series

1 1 2 3 5 8 13 21 34 ?3 6 12 24 48 96 192 384 768

Team Round

Question 18

Time: 6 minsJoker: 4 mins02 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

What is the sum to infinity of the convergent series

1 1 2 3 5 8 13 21 34 ?3 6 12 24 48 96 192 384 768

Team Round

Question 18

Time: 6 minsJoker: 4 mins01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

What is the sum to infinity of the convergent series

1 1 2 3 5 8 13 21 34 ?3 6 12 24 48 96 192 384 768

Team Round

Question 18

Time: 6 minsJoker: 4 mins00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100 No more joker

What is the sum to infinity of the convergent series

1 1 2 3 5 8 13 21 34 ?3 6 12 24 48 96 192 384 768

Team Round

Question 18

Time to breathe a sigh of relief, and to get ready for the gala dinner at the hotel.

We thank you and hope you have enjoyed this round

Team Round

The end