SASMO 2018 Grade 7 [PDF]

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SASMO 2018, Secondary 1 / Grade 7 Contest Se cti on A (Correct ans wer -



2 points I No answer -



o points I Incorrect answer -



Qu es tio n 1



Find the value of the following (19 96 + 249 7 + 350 7) + 16



A. B. C. D. E.



500 800 5000 8000 None of the above



Question 2 Which of the following is NOT a ration al number?



A. rc 2 B. 0.333 ...



C.



(ffi)4 \112 5



D. ✓121



E. None of the above



minus 1 p



de 7 contest ary 1 I Gra d n o c e S , 8 1 0 2 O SASM



·ng? f . t n o s a re o e c n e u q e s g . th ollowin Question 3 ef atical errors in m e th a m ve a h s ( l) Which step 8 =O x O d n a o = 7 ox



(2 )



Ox 7=0X8



(3)



0



0 -0 X 7 = -0X 8



(4)



S in c e0£ = 1 1x7



A. B. C. D. E.



=1 x 8 ;



Therefore 7



=8



(1 ) and (3 ) (1 ) and (4 ) (2 ) and (3) (3 ) and (4) (4 ) (1 ), (2 ), (3 ) and



.t no·1



Question 4



e? NOT ALWAYS tru is g in w llo fo e th of ber, then which m u n e m ri p a is If p an even number. is p x 2 r e b m u A. The n dd number. o n a is 3 + p x 2 B. The number prime number. a t o n is p x p r ber. C. The numbe n o t a prime num is p + p x 3 r e D. The numb ven number. e n a is 1 + p r e E. The numb



SASMO 2 0 1 8 , Se conda ry 1 / Grade 7 Contest Q u e s ti o n s Rhonal lls tw o 6 -s1.ded s o w nd oro a A T hneth e m . .W h a t isst th endar d d"ice and ca lculates the m o st likely to occu · r among ~umhof_the su m 1s 4 . two numbers e c 01ces below? B Th ·



c·



The sum ~s an even number. · e sum 1s 15 . D. The sum is 12. E. The sum is an o dd number less than 5.



Question 6 Y o u rece



·



ived 4 g if t vouchers from 'Forever Chic' store. Which option w th e m o s t m o n e y if ill save you you w a n t to buy 2 items o f the same pr ice? A. "Buy 1, get 1 free B. "1st it e m : SO% sa". st le. 2nd item: 20% o f the 1 item's sale pr ice". "1st it e m : 6 0 % sale. nd st 2 item: 60% o f the 1 item's sale price". D. "1st it e m : 7 0 % sa st le. 2nd item: 30% o f the 1 item's sale pr ice". E. All have the sam e price.



c.



7 Contest e d ra G / 1 ry a d econ SASMO 2018, S to,



g, Plu 0 p m . His do :0 4 t a ) d n o c Pluto catch ters p e r se e ld u (m o w /s e m m 2 1 ti t t wha running a a t 18 m/s. A t n ra Goofy started d n a m p g him a t 4:03 started followin up to Goofy?



Question 7



A. 4.08 pm B. 4.09 pm C. 4.10 pm D. 4.11 pm bove E. None o f the a



Question 8



the o f n such th a t e lu a v le ib s s allest po What is th e sm +n 1 + 2 + 3 + .. .



and 9? is divisible b y 5



A. 5



B. 9



C. 10 D. 45



ea E. None o f th



bove



sum



I



SASMO LU llj , ::,econ da ry



l /



.



Grade 7 Conte~



Qu es tio n 9



Integers starting from 1 are arranged . in the follow;ng w . 1 ay. 2



3



4



5



7 11



8 12



6 9



13



Ill Ill Ill • •



10 14



15



Row 1 Row2 Row3 Row4 Rows



In wh at ro w can You find 2018? A. 46



B. 63



C. 64 D. 66



E. None of th e above



Question 10



chine A and machine B ma If . urs ho m in s ck blo se ee ch 0 M ac hin e A can produce 450 ined production in n hours is 45 mb co ir the , es rat ve cti pe res e to wo rk to ge th er at th eir rks alone, how long would it tak wo B ine ch ma If r. he et og alt cheese blocks pr od uc e 450 cheese blocks? m- n



A.;;;;; .~ B mn n



C. ;;.;; n- m



D.;;;;;m xn



E .n-m



/ Grade 7 Contest 1 ry da on ec S , 18 SASMO 20 Question 1 1



3! 1 x 2 x 3 x 4 and == 4! e, pl am ex r Fo . x ... x n Let n! = 1 x 2 x 3 9! . 9! + 99 99! + 99 99 99 + ! 99 + 9! f o t Find th e last di gi



= 1 x 2 x 3.



A. 1 B. 4 C. 6



D. 9



ove E. None o f th e ab



Question 1 2



tio is 2: 9, is 216. If th e ir ra rs ge te in e tiv si po M) o f tw o on m ul tip le (LCor (HCF). T he least comm ct fa mmon co t es gh hi r ei th fin d



A. 12 B. 18 C. 2 4



D. 108



e E. None o f th e abov



Question 1 3



es in the figure.



shaded angl Find the sum o f the A. 360° 8. 540° C. 720° D. 900° e E. None o f the abov



_sA. .SMO 2018, Secondary 1 / Grade 7 C



ontest



ouestion 1 4



The figure on the ri ght is made o f cu bes side views o f the fig ure are shown 5below Th . · e front and



a



Front V ie w Side View



What is the larges t number o f cubes in views: a figure with the follow ing



Fr on t V ie w



A. 20



B. 35



c.



32 D 30 . E. None of th e above.



Side View



front and side



1 / Grade 7 Contest SASMO 2018, Secondary Question 15



r pe t store at different la pu po a to nt we tha an Neo and Sam the Danica, Jessica, Marina, person who w en t inside nd co se e th is ina ar M . ts nt pe e times and bought differe t bu t went inside af te r th ca a ht ug bo o wh n rso th e pe who store. Danica went in before after Neo. The last person ide ins nt we ica ss Je r. ste g. person who bo ug ht a ham d Samantha bought a do an t, ca a y bu t no did ina it. Mar went inside bought a rabb W ho bo ug ht a fish? A. B. C. D. E.



Danica Jessica Marina Neo Samantha



S,ASMO 2018, Secondary 1 1 .



section



I



B



. Grade 7 Cont



e~



(Correct answ



er-4 pc,·



•nts I lncorr ec:t or No an-. .......er-ope,·



Question 16



intsJ



How many triangles are th



. ere in the figure?



Question 17 The bar chart below shows the production growth of cars in a factory for the first half of the year. The average number of cars manufactured in the first half of the year is 20% less than the average number of cars manufactured in the second half of the year. What is the average number of cars manufactured in the entire year?



4900 4800 4700 ..,, 4600 '-



rt)



u



-



0



4500



I



....



~ 4400



E



::J



z. 4300 4200 4100 4000



January



Feburary



March



April



Month



May



■ June



ntest SASMO 2018, Secondary 1 / Grade 7 Co Question 18 ch 250n is a multiple of 900 . Find the smallest positive integer n for whi



Question 19 the following An operator fl acts on two numbers to give



results:



= 94 3 ll 3 = 66 5 ll 4 = 98



7 ll 2



11 ll 9



= 2018



What is 4 ll 7 equal to?



Question 20 t a4 tha h suc s ger inte itive pos are d and c b, Given a, 2 2 2 2 value of a + b + c + d •



4 + b4 + c4 + d = 2018, find the



,.. sASJ;O 2018, Secondary 1 / G



,-



rade 7 Contest



Question 21 I n a class of 33 students , 20 of them h have been to Legoland Wh . ave been to U .



not been to neither Unlvers:~ ~~ th~ largest possible::~' Studios and 14 of them ud10s nor Legoland? er of students who have



Question 22 Hanna, Ivan and Jefferson collected shells on Barbados island. Hannah collected~ 19 of the total shells. The rest was shared by Ivan and Jefferson in the ratio 13:11. If Hannah collected 44 more shells than Jefferson, what is the total number of shells they collected altogether?



Question 23



different positive integers is 25. Find the smallest possible value of the 4 The sum largest of these 4 numbers. 0f



ade 7 Cont es t SASMO 20 18 , Secondary 1 / Gr Question 24



fractions wit h following pattern: A co mp ute r code generated 500 10 00 2 4 6 8 9 '11 '13 ' 15 ' ... ' 10 07 in simplest form? Ho w ma ny of these fractions are



Question 25



of 36 m and breadth of 24 m. It gth len a s ha n rde ga lar gu tan rec Palace of Versailles' own tha t EB = DG = 18 m and kn is It . low be n ow sh as s ion 2 is div ide d int o 4 reg , wh at is the area of m 8 28 is FK EB ion reg of a are the n ve Gi m. 24 AH = FC = reg ion HKGD?



E _ _ _ __,B A__



2



28 8m



D