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TC I M O



I



4t}i'EiffiH



b'tffilElx;,8il'rurE



SEAMO



SOUTHEAST ASIAN MATH EMATICAL OLYM PIADS



Exclusive Publisher & Distributor



DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED.



STUDENT'S NAME:



2016 ANSWER SHEET and {ill in your NAME, SCH00L and OTHER lNFORMAT|0N. Use a 28 or B pencil. Read the instructions 0n the



Do NOT use a pen. Rub out any mistakes completely. You MUST record your answers on the ANSWER SHEET.



LowE R P R I MARY



MSiilJlll



ffilf 3:;ffi#fi,"t3;::l'31,*,,,



llTil}t#mation



provided to choose the BEST answer from possible five options. the SHEET fill in the ovalthat matches your



:fr[t?:ANswER SEGTION B



0n your ANSWER SHEET fill in your answer within the box provided. You are NOT allowed to use a calculator.



3. Vanessa uses some coins to form a triangle. Each of the 3 corners of the



1.



triangle has a coin. There are 6 coins on each side of the triangle. How many coins does Vanessa use to form the triangle?



W



(A) 17 (B) 1e



(c)



21



(D)



23



(A) 12 (B) 13



(E)



30



(c)



14



.



(D) 15 (E) 16 How many triangles are there in the figure below?



\Mat



is the result of 50



12



(D)



13



4350



(c)



5o5o



101?



1010



(D) 10 100 (E) 50 500



(A) 10 (B) 11



(c)



(A) (B)



x



The sum of two numbers is



80.



The difference between the two numbers is 12.



(E) 14



\Mrat is the value of the bigger number?



(A) 32 (B) 40 (c) 46 (D) 48 (E) s2 161 2



6.



8. ln which row is the number 47 lf the



Find the sum of



I+2+3+4+...+18+L9+24



numbers continue?



RonA I (A) 1e0 (B) 1e5



(c)



Rw3



12



Ig



tuiC



13



18



Ror 0



2oo



RwE



(D) 210 (E) 220



7.



10 lt



How many tiles do you need to cover the



(A) (B) (C) (D) (E)



t7



I5



Row A



Row B Row C Row D Row E



area shown below?



Find the sum of



2+22+222+2222+22222



?ile



(A) (B) --



(c)



2 3



4



.g--'



1D) (E)



s 6



(A)



24680



(B)



24694



(c)



24700



(D)



24710



(E)



None of the above



'10.



\Mat is the least number of



colours



12. How many ways



are there to Put



2A



needed to colour the petals such that no



oranges into 3 baskets so that each basket



two neighboring petals have the



has an even number of oranges?



same



colour?



(A) I (B) e (c) 10



(A) 2 (B) 3



(D) (E)



(c) 4 (D) s (E) 6



13.



11



None of the above



Uncle Sam is going to deliver a parcel to Point B, beginning his journey from Point A. How many ways are there for him to reach



11. The time that Jennifer's party started and



there using the directiont



I and -+ on$z-



ended is as shown below. How long was her party in minutes?



4



(A) (B)



(A)



300



(B)



305



(c)



310



(c)



(D)



320



(E)



330



(D) (E) 16) 4



20 21



22



23 24



14. How many dots are there in Figure 5?



16.



t



t oa Figure



(A) (B) (c) (D) (E)



1



Figurc 2



A file in a bookstore costs 70 d. Akshta has 510 @ coins,32A f coins and 1 50 I coin. How many ways can she pay for the



la



file without receiving change?



tfa



Figure 3



12 13



14 15 16



15. Jane wrote on



(A) (B)



a piece of paper all the



whole numbers from 1 to 59.



5



6



(c) 7



r 2 3 45 67 B9 LA lL L2 ...... 57 58 59



(D)



8



(E)



None of the above



17. What is the missing number? How many digits did she write altogether?



(A) (B) (c) (D) (E)



1,1,2,3, 5, 8, 13, ( ),34,55,



1o7



10e 111



113



(A)



18



(B)



1e



(c) 20



115



(D) 21 (E) 22



5



...



18. The diagram shows a dartboard. What is



20. Given that



the least number of throws to score 100?



! + *= ss J + ffi*+o $+d&=sz Wfrat is the value ot



(A) (B)



(c)



(A)



12



(B)



20



(c)



26



3



(D)



28



4



(E)



None of the above



2



(D) 5



(E) None of the above



19.



&Z



A



number is first reduced by The remainder is then multiplied by



8. 5.



The product is then increased by 8. The final result is 48. What is the number?



(A)



14



(B)



15



(c)



16



(D)



17



(E)



None of the above



24. Two circles are friendly if they touch each other like the pair shown below:



21. Vvhat is the maximum number of slices we



can get by making 3 straight cuts? Each



How many "friendly pairs" are there in the



slice does not have to be equal in size.



figure below?



25. There are 5 blue balls, 4 orange balls and



- 22. fur



2 n?: 17 chickens and rabbits.



yellow balls



in a bag. Sheila is



He



blindfolded and starts to take the balls out,



counts 52 legs in all. How many chickens



one at a time. At least how many balls



does he have?



must she take out so that, for certain, she ends up with 4 balls of the same colour?



|:-:'*-/



Shaun can walk 60 metres in one minute. Fryn can walk 55 metres in one minute. lf



Tim is 35 metres ahead of Shaun, how many minutes does Shaun take to catch up with Tim?



The answers in this publication are provided by TCIMO. Any queries or comments on the answers should be forwarded to TCIMO directly: [email protected]



+IL=2I



3+7 I



D



3+4+5:1,2 5+6+72=23 1,



A,:9



4 As:3 2



D



11As:1 Total -+9



J



D



4



C



*3*1=13



6x3-3:15 (100+1):50 x 100i50 x



50 X



:



5000



*



50



x 20+2:2I



x



10



I



5050



=



BAI-12:92 5



C



92



T:



46



(1+20) 6



D



7



C



= 2I0 4 tiles are needed to cover the area.



5 numbers per column. 8



D



47 + 5 :9R2 47 is in column 10. Numbers in even columns count from bottom to top. 47 is in row D.



9



B



l0



B



ll



C



24690



5 x 60+10 =



3'10



min



2+2+1,6=20 2+4+'J-4=24



l2



2+6+72:20 2+B+I0:20 4+4+72:20



A



4+6+10=20



4+B+B:20 6+6+B:20 There are



B



wavs



Use Pascal's Triangle,



1?



A



Fig.L: 1 T4



D



Fig.2: Fig.3:



L*2:3 L *21-3=6 Fig. 5:



7to9 15



B



|



7+2+3+4+5:15



9 digits



10to59: 59-10+1 = 50 numbers 50 x 2:1OOdigits 9 + 100 : 109 digits



Make a list



50c,20c



t6



50c,10c,10c 20t,20c,200,10c



A



20a,20Q,10C, l-00,10C 20c, 5 x l-00



6)9



1t 1:2



'J,f-2=3 t7



D



2



* 3:5



5*B:13 8I 13 =2L l8



B



38+39*23=100 48-8=40



79



C



')i



D



40+5:B B*8:16



36+401-52=l2B



\28+2=64 64



-



36



:28



21



22



8 chickens



17 x 4=68 68-52=16



68+2:Bchickens



L)



24



25



7



min



l8 friendly pairs



9



60



-



55



:



5



metres faster every minute



35+5=7min L8 friendly pairs



By the pigeonhole theory,



3+3+21-1:9



TC MO I



I



4fftiEf,HH



lEffilE&x;'tit'rure



Exclusive Publisher



SEAMO



&



Distributor



OO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED.



STUDENT'S NAME:



$OUTHEAST ASIAN MATHEMATICAL OLYMPIADS



2017 Read the instructions on the



ANSWER SHEET and lill in your



iltrAME, SCH00L and OTHEH INF0RMATI0N Use a 28 or B pencil. Do NOT use a pen. Rub outany mistakes completely.



You MU$T recsrd your answers on the AN$WER SHEET.



LOw E R



PR IM A



RY



lili:ilJlll ftilf 3llfflfifi,','fi8ffill 3l;'',,, SECTION A Use the information provided to choose the BE$T answer from the five possible options. 0n your ANSWER SHEET fill inlhe ovalthatmatches y0ur answer.



SECTION B



0n your ANSWER SHEET fill in your



ansrnier within the box



nrn\/trtan



You are NOT allowed to use a calculator"



1. What is the mass of the Ball



4. Shawn stays on the Bth floor. He takes 1 minute to walk from



KK



B?



1't to the



2nd



floor.



How many minutes does he take walk from the 1" to the Bth floor?



(A) 20 g (B) 30 g



(c)



40 (D) 50



(E)



2. Find 3



g g



None of the above



(A) (B)



6



(c)



7



(D) (E)



the sum of



+ 5 +7 +9 + 77+ 13 +



1,5



+ L7 +



s



I None of the above



19



5. John is cutting a cake.



(A) 77 (B) BB



(c) ee (D) (E)



110



None of the above



3. What number does



I



represent?



What is the maximum number of pieces he can get with 3 cuts?



E+9=12 Qx6:42 s



(A) (B)



6



(c)



7



(c)



7



(D)



e



(A) (B)



3



(D) (E)



(E) None of the above 2



s



B



None of the above



thr



6, There are 60 minutes



in an



hour. By observing the two clocks, how many minutes have passed?



g-.---..4,.\\



3



(A) 135 min (B) 140 min (C) 145 min (D) 150 min (E) None of the above



7.



B. At least how many cubes are there in the figure below?



Which of the following can



(A)



e



(B)



10



(c) rr (D) (E)



72



None of the above



9. There are 31 commuters on the bus. be



traced, without drawing over any line



At the 1" stop, t7 alight and t4



twice, and without lifting your pen?



board.



l@ Fig.



1



At the



2no stop,



5 alight and 3



board.



How many commuters are there now?



Fig



Fig. 3



-



-(A) Figure 1 only (B) Figures 1 and



2



(C) Figures 1 and 3 (D) Figure 2 only (E) Figures 2 and



(A) (B)



2s 26



(c)



27



(D)



28



(E) None of the above



10. 20 children were queuing to buy food.



Ali was



Bth



12. What is the missing number?



from the front.



Emma was 6th from the back. How many children were queuing between Ali and Emma?



L,2,3,5,8,L3,21,,(



(A) (B)



(c) (D) (E)



32



34 55



s6



None of the above



13. 2@3 = 13



(A) 3 (B) 4



2@4=20



3@4:?



(c)



s



(A)



22



(D)



6



(B)



23



(c)



24



(D)



25



(E)



None of the above



(E) None of the above



11. There are 31 days in January. If 5th January is a Friday, which day is 28th January?



14. The sum of 2 numbers A and B is 36.



The difference between A and B is



Given that



A is the larger number,



find A.



(A) Sunday (B) Monday (C) Wednesday (D) Thursday



(A) (B)



20



(c)



22



B.



18



(D) 24 (E) None of the above



15. Hashima



has $22. Mingyi has



$10. How much must Hashima give Mingyi so that he will have three times as much money as she?



(A) (B)



17. Halima wrote on the whiteboard. L2



345



67 I 9 L0 r1 12 ...64 65



How many digits did she



write



altogether?



L2 13



(c) t4 (D) ls (E) None of the above 16. How would the 4th figure look like?



(A)



L20



(E)



None of the above



(B) r2r (c) 723 (D) tzs



18. My mother embroidered 5 flowers on each side of my handkerchief. There was a flower on each corner. How many flowers did she embroider altogether? Use the square provided



to help you.



?



3to



(A)



(B)



(c) (D)



4th



@



& @



# A



(E) None of the above



(A) L4 (B) 1s



(c) 1,6 (D) (E)



L7



None of the above



19.O+O+O:15



tr+tr*E:18 A+A



* L:



*1.



L2



A+E+O:( ? )



There are 14 children in a party. Each boy gets 2 balloons. Each girl gets 3 balloons.



(A) 13 (B) 1.4



(c)



15



(D)



76



36 balloons are given out in all. How many girls are there at the party?



(E) None of the above



20. How many triangles are there in the



figure below?



I



.i



22. Find the greatest possible value of



r;r|6;R.:€&



',:&:,,*i:ii*



,,,14. n



,i*," '1:



.rj 't,L



.,r{r.



ui



;l' ,a



'ir



in



.



.f ur, "i i, ,'" t-1 nu'' '\!, d-- *-. i{.,-,., .,Jrt*,,,* *rl'*:,.*-; .l



(A) (B)



I



I



"t



AB +A B BC



13



L4



(c) 1s (D) (E)



B



L6



23. Matthew and 5 years old.



his twin brother



are



None of the above Dad is 32 years old.



In how many years will the sum ol their ages be 60?



6



24.



25.



What is the missing number?



The sum of 18 and 81 form



a



palindromic pair. Their sum is 99.



1B +B 1 99



How many other 2-digit palindromic pairs have a sum of 99?



The answers in this publication are provided by TCIMO. Any queries or comments on the answers should be forwarded to TCIMO directly: [email protected]



A*B-+50 A*C-+60 B*C-+70 50+60+70 = 180



IB0+2:90. 90-60:309



Pair up



+5+7+9+11+13+L5+17+ 22



O x6= @=7



E=5



There are 7 flights ofstaircase.



7x1,=7min



5



D



t



horizontal cut (from the side), 2 vertical cuts (from the top)=



1.30



till



3,30,



there are 2 h 3.30 6



A



till



3,45,



there are 15 min



60+60+15 = 135 min Figures 7 and2



7



B



lttlevel: 8



A



2nd



5



level: 3



3.dlevel: 1 1,7



9



B



-'J,4:3



5-3=2 31-3-2=26



B



pieces



l0



D



20-8-6 :6 Method 1: Use Table Method 2: Next Friday is5



t1



A



l



28tr is on Sunday



7*2=3 2*3=5 3*5=8 B



13t2I=34



2x2+3x3 :4 *9 :13 2x2+4x4 l3



D



:4I



16



=26



3x3+4x4



=9*t6 :25



]36 t4



-->



72



121-7-+19 79



l2



7



C



36+B



=44



44+2=22



l-7 :26



22+IO =32 4 units



l5



:



C



Luntt = 3



8



Mingyi



Hashima



units = 24



24



t6



32



- l0:



$14



D



The inner shape moves to outer one.



7-9-9digits 10-65:65-10+1 l7



:56 numbers



B 56 + 56 9



:



112 digits



+ I12 = 121 digits



Method



1



o 0(}o (f c o g o o o 0 ()(}0



l8



C



5+5+3+3 =L6 Method 2



5x4=20 20-4(corners):16



{}



o:5 t9



C



EI:6



A,:4



4+.5*6=



15



-rz



A 20



-3



D



-'t -



Total



1.6



If all were boys



2l



8



2xt4 : 28 balloons 36 - 28: B balloons short 3 -2.= | 8+1:Bgirls 49



+49 22



9



98



A:



4, B -- 9, is 9.



C:8



=Ans



5+5+32



:42 z)



6



60



- 42:



18+3=6



f 4



\



I



3xS



+2x4



=l-5+B



:23 6x5+4x5 24



+



=30+20 =50



7x8:56 68-56:72 3x4=72



25



3



72



36



45



+27



+63



+54



99



99



99



TC M O I



I



6ffii'EAHs



brffi'lE&x/,rir''u"



Exclusive Publisher& Distributor



SEAMO



SOUTHEAST ASIAN MATHEMATICAL OLYMPIADS



DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED.



STUDENT'S NAME:



2018 Read the instructions on the ANSWER SHEET and



fill



in your



NAME, SCH00L and OTHER lNFORMAT|0N. Use a 28 or B pencil. Do NOT use a pen Rub out any mistakes completely. You MUST record vour answers on the ANSWER SHEET



L(31&fAR



pmtM&nY



Mark only 0NE answer Jor each question. Marks are NOT deducted for incorrect answers. SECTION A Use the information provided to choose the BEST answer from the five possible options 0n your ANSWER SHEET fill in the oval that matches your anslver.



SECTION B 0n your ANSWER SHEET fill in your answer within the box provided You are NOT allowed to use a calculator.



4.



I +2+ 3 + ...+ 9 + 1_0 + 9 + 8 +... + 2 + 7



1. Find the missing number. 3,4,7



,rL,L8,(



(A) (B)



) ,47 ,...



(c)



(A) 27 (B) 28



(c)



(D) (E)



2s



(D) 31 (E) None of the above 2.



Evaluate



How many cubes are there



Be



e0 ee 100 None of the above



5. Find the 50thdigit



in



the



in



3580358035...



figure below?



(A) (B)



(c)



3



s B



(D) 0 (E) None of the above



(A) 13 (B) t4



(c)



(D) (E)



3.



6.



Find the value of the star.



1s 16 L7



A *



il A



Find the value of M.



M M



l\l l\l



*Ml\l



17 (A) 3 (B) 4



(c)



5



(D) 6 (E) 7



x C| = 24 x il:x40 45



f-]



-F" 7



(A) s (B) 6



(c)



7



(D)



B



(E)



None of the above



15



?



7.



9. My grandmother is 56 years old.



Find the missing figure below.



nm [3n (A)



(B)



(c) (D) (E)



My mum is 31 years old. I am 7 years old. In how many years is the sum of our ages 100?



l-"-1ol lo



t';1 lo ol



rill lo oo ol lo 0l



ru



(A) s (B) 4



n



(c) (D) (E)



H il3 None of the above



3



2 1



10. What time should come next in the sequence below?



B. Find the missing number.



.?



31 33



(A) 5:10 (B) 5: 20



2s (D) 32



(D) 5:40



PM



(E) 5:50



PM



(A) (B)



PM



(c) 5; 30 PM



(c)



(E)



PM



None of the above 18) 3



,



13. Which of the following figures can br traced without lifting your pencil anr 11. Mohammed wrote the numbers 1 to



without tracing over the same lines?



24 on the whiteboard as shown:



o



1.23456,..2223324



I



How many times did he write the digit '2' altogether?



(A) (B)



(c)



Fig x



s 6 7



Fig 2



o q p



(D) B (E) e



Fig 3



at



4



(A) All except Fig 1 (B) All except Fig 2 (C) All except Fig 3 (D) All except Fig 4 (E) All of the above



12. Basket A has 54 apples. Basket B has 1B apples. Cindy moves 6 apples



Fig



a



time from Basket A to Basket B. How many times must she do this so that both baskets have the samb number of apples?



A



w w



(A) 3 (B) 4



(c)



5



(D) 6 (E) None of the above



L4.



The digits 2, 4 and 7 can form si: different 2-digit numbers. What is thr difference between the largest an( smallest of these numbers?



(A) 48 (B) s0



(c)



(D) (E)



s2 s4 None of the above



15. There are 26 chickens and rabbits on



17. What do we get if all the figures are



a farm. The farmer counted B0 legs together.



stacked on top of each other?



ffiffiFffi m-r-il rf-ffil r++fl



How many rabbits are there on the farm?



(A) 14 (B) 1s



(c) 16 (D) (E)



77 None of the above



16. How many triangles are there in the



figure below?



(E)



(A) (B)



None of the above



7 B



(c) s



(D) 10 (E) 11



18.



John paid $12 for 2 pens



and



2 pencils. Mark pald $22.50 for 2 pens and 5 pencils. How much was a pencil?



(A) (B)



(c)



(D) (E)



$3.20 $3.s0 $3.80 $4.10 $4.30



19. Shawn stays on



the 6th floor of



an



apartment block. Jessie stays on the 3'd floor of the same block. If Shawn takes 4 minutes to walk from the 1tt floor to Jessie's apartment, how



21. Find the sum of first 48 numbers in:



1,3,5 ,7 ,B ,7 ,3 ,5 ,7 ,B ,r,3 ,...



long, in minutes, does he take to walk from the 1't floor to his own apartment?



(A) (B)



22. There are 6



7 days in a week. If todt



is Tuesday, ofl which day of the wee



B



(c) 10



is the 100th day from today?



(D) t2 (E) None of the above



20. Find the value of the square.



23. The masses below are measured



n + n x lS2 \J n xt



*



+



ffi x



&x



g



rams.



14$



!5S



?



(A) 67 (B) 7s



(c)



(D)



(E)



83 87 None of the above



What is the mass of A?



18) 6



24. Each row represents one of the fof owing numbers : 892, 485,364, 624. f



ffi M ru ffiffi ru ffi M ffi l%a ffi ffi ffi Which number does Row 2 represent?



25. 97 numbers are arranged



in



the



sequence as shown below.



What number does M represent?



18) 7



The answers in this publication are provided by TCIMO. Any queries or comments on the answers should be forwarded to TCIMO directly: [email protected]



29



It follows



the pattem of Fibonacci sequence.



3+4:7 4+7:I1 7+11:18 l1 + 18:29 17



:



8



2"d



layer:



5



3'd



layer:



3



ltt layer



Top



layer: I



Total=8+5+3+l: 3



The same number happens 3 times.



9x3=27 N=9 59+591-59=I77



M=5



5pairsofll:55



7+2+3+.'.+B+9 =



55



-



1-O



:45



55+45=100



5



(B)



5 The 4 numbers 3, 5, 8, 0 repeat themselves 12 times.



4x12= 50 3,



-



48



48 = 2 numbers remained



5,8,0 1 I



2"d remainder



6



(E) Make a guess



A*3 L/=



B



So3xB=24



n l-l =5 SoBx5=40



*=



s



So5x9:45 (B)



Add down tlre columns.



l"tcolumn:



2+4:6



3'dcolumn:



5+5:10



Thus,



2ndcolumn:



8



(A)



3+I:4



31



l't figure: 4 x 7 : 28



and



13



2"dfigure: 6 x 8 = 48 and3l 3'd figure: 7



x9



:63



and 63



+ I5 =



28



t



17 = 48



-



32 =



3I



9



(D)



t



56+311-7:94



- 94: 6 6+3=2 100



t0



(c)



s.30 PM Each time adds



ll



h 20 min.



(D) Range



How many t2t



Ito9



I



l0 to



t2



t



(A)



19



I



20 to 24



o



Total



8



3



Difference



=54- 18:36



TransfertoB:36+2:18 No.oftimes=18+6=3 l3



(c)



All except Fig



t4



(B)



50



3



Smallest: 24



Largest:74 Difference



:74 -



24



: 50



10



?



l5



(A)



t4 If all were chickens,



26x2=52legs Shortage: 80



-



52 = 28 legs



Difference in number of legs: 4 - 2 : 2legs Number of rabbits: 28 + 2



t6



(D)



=



74



10



'J,L= 4



2L:3 3L=



2



4L=



1



Total: l0 I7



(B)



18



(B)



$3.s0 2 pens + 2 pencils



-



$12.00



2 pens + 5 pencils



-



$22.50



5



-2:3



3 pencils



-



$22.50



- $12.00: $10.50



$10.50+3=$3.50 t9



(c)



10



There are 2 flights of stairs, from l"t to 3'd floor. Each flight of stairs takes 2 min. There are 5 flights of stairs from I't to 6fr floor



2x5 = 1,0min



18)



11



20



(c)



83



S*il.{}.&*iln :762+



146



+



&



150



:458 458:229 + 229



@ 229



21



225



-



146:83



l+3+5+7+8 :24



5x9=45 There are 9 blocks of24



9x24=276 216+l+3+5:225



22



Thursday



L'et Day 1 be today (Tuesday).



Next Tuesday is Day 8, 15,22, ...



+7 +7 +7 1-+ B -+ 75 --+ 22 22 43



----> +21



---->



43



64



+21



64



-t



BS



+L+



85 ----+ 99



99



+1



-;



100



l00n day from Tuesday would mean 101't day. So ans is Thursday.



8) 12



z)



128



One circle 48



:489



+ 48:96



96:32+32+32 One square: 329



32+32+32+32:128s:



24



624



"4" happens



3 times in 485, 364 and 624.



Thus,



"8" happens



2 times



in892 and 485



2 times



in364



Thus,



"6" happens



and 624



Thus,



Ptow



25



64



97



2:624



-4=93



93:31+31+31 Each row consists of 31 numbers.



3l



+ 2 + 1 :34 (the l'humber in 2"d row)



M:34+3t-l:64



8) 13



QUESTIONS 1 TO 10 ARE WORTH 3 MARKS EACH



4. Given that ⊛ + △ + ⊡ = 12 ⊛ × △ = 12



1. How many triangles are there in the figure below?



△ + 1 = ⊡ Find the value of ⊛. (A) (B) (C) (D) (E)



(A) (B) (C) (D) (E)



2 4 6 10 12



2 3 4 5 6



5. How many cubes are there in the figure below?



2. Find the next number in the sequence. 1, 5, 6, 11, 17, 28, 45, ( ), … (A) (B) (C) (D) (E)



3. Evaluate the following. 28 + 30 + 32 + 34 + 36 −(27 + 29 + 31 + 33 + 35) (A) (B) (C) (D) (E)



(A) (B) (C) (D) (E)



63 64 73 75 None of the above



6. A farmer bought 37 ducks and geese. There were 35 more ducks than geese. If the farmer wants the number of ducks to be twice the number of geese, how many geese should he buy?



3 5 7 9 11



(A) (B) (C) (D) (E)



SEAMO 2019 Paper A © TCIMO



12 13 14 15 None of the above



1



2 7 17 18 None of the above



7. Tom has to paint a 46 7 long fence. 10. While queuing for the latest iPhone, On the 1st day, he paints 10 7 of it. Cassie realizes she is the 12th person Each day after that, he paints 1 7 less from the front and 5th from the back. How many people are in the queue? than the day before. How many days does it take him to finish painting the fence? (A) (B) (C) (D) (E)



4 5 6 7 8



(A) (B) (C) (D) (E)



8. How many ways are there to spell the word “SUGAR”?



16 17 18 19 20



QUESTIONS 11 TO 20 ARE WORTH 4 MARKS EACH 11. Find the missing number number puzzle below.



(A) (B) (C) (D) (E)



the



3 5 6 9 10



9. There are 7 red, 9 white and 3 black balls in a box. What is the minimum number of balls you have to take out to ensure you have at least 1 white ball? (A) (B) (C) (D) (E)



in



(A) (B) (C) (D) (E)



9 10 11 12 13



2



8 13 14 17 28



SEAMO 2019 Paper A © TCIMO



12. 8 years ago, I was twice as old as my 15. A number pyramid is shown below. brother. If my brother is now 14, how old am I now? (A) (B) (C) (D) (E)



18 20 22 24 None of the above



Evaluate 8 + 9 + : + ;.



13. Given that



(A) (B) (C) (D) (E)



What is the value of