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2015 Benjamin (Grade 5 - 6)
Questions: 24 | Answered: 0
Q1. In w h h ich shape i s s exactly on e half colour e e d grey?
3 points
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Q2. The w w ord KANG A A ROO is writ t t en on the t o o p side of m y y umbrella. Which o o f the follo w w ing pictures does not sh ow my umb r r ella?
3 points
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Q3. Sam p p aints the 9 s s mall squar e e s in the sha p p e either w h ite, grey or b b lack. What i s s the minim u u m number h h e must pain n t over so th a a t no two sq uares sharing a side have the same c o o lour?
3 points
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Q4. Mr B auer has 10 ducks. 5 of t t hese ducks l lay an egg e v v ery day. Th e e other 5 lay y an egg eve r r y second d d ay. How m a a ny eggs wil l the 10 duc k k s have laid a a fter 10 day s s ?
3 points
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Q5. Each square in t h h e shape has an area of 4 4 cm². How long is the t hick line?
3 points
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Q6. Whi c c h of the foll o o wing fracti o o ns is small e e r than 2? ଵ ଽ ଽ ଶ ଶ ଶ ଵ ଶଶ ଶଷ
3 points
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Q7. How much does Dita weigh?
3 points
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Q8. Pete r r looks at th e e picture ha n n ging on the wall in mor e e detail thro ugh a magnif y y ing glass. W W hich sectio n n can he not s see?
3 points
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Q9. Each plant in Joh ns garden h a a s exactly 5 l l eaves or ex a a ctly 2 leave s s and a fl ower. In to t t al the plant s s have 6 flo w w ers and 32 l eaves. How m a a ny plants ar e growing i n n the garden ? ?
4 points
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Q10. cm, s h h e gets a str i i p 50cm lon g g . With the other t w w o she wan t s to make a 56cm long s t t rip. How l o ng must the e overlap be ? ?
4 points
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Q11. Tho m m as has ma d d e the follo w w ing shape w w ith 6 squar e e s of side len g th 1. Wha t t is the peri m m eter of the shape?
4 points
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Q12. Eac h h day Maria w w rites down the date an d then adds together th e e individual d d igits. For i n n stance rd today o n n the 23 M a a rch she wri t es 23. 03. a a nd calculat e e s 2 + 3 + 0 + 3 = 8. Wha t t is the larg e e st total she m m ake in this way in the c c ourse of a y ear?
4 points
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Q13. A re c c tangle is fo r r med from 4 4 equally siz e e d smaller r e e ctangles. The sho rter side is 1 0cm long. H o w long is t h h e longer sid e?
4 points
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Q14. In Fi e e ld street th e e re are 9 ho u u ses in a ro w w . At least o n n e person liv es in each h o o use. Each p p air of neighb o o uring house s have at m o o st 6 inhabit a a nts. What i s s the maxim u m number of people li v v ing in Field str eet?
4 points
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Q15. Luc y y and her m o o ther were b oth born in J J anuary. To d d ay on 23rd M M arch 2015 lucy adds to g ether her yea r r of birth, th a a t of her mo t t her, her ag e e and that o f f her mothe r r . Which an s s wer does s h h e get?
4 points
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Q16. A re c c tangle has a a rea 12 cm² . The lengt h h s of the sid e e s are natur a a l numbers. W W hich peri m m eter could t h h e rectangle have?
4 points
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Q17. Eac h h of the 9 sid es of the tri a a ngles in th e e picture will be coloure d d blue, gr e e en or red. T T hree of the sides are al r r eady colou r r ed. Which c o o lour can side x h ave, if the si des of each t riangle mu s s t be colour e e d in three d i fferent colours ? ?
5 points
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Q18. 3 gr e e en apples, 5 5 yellow ap p les, 7 green pears and 2 yellow pear s are in a sa c c k. Without l l ooking, Sebasti a a n takes eith er an apple o o r pear out o o f the sack. How many p p ieces of frui i t must he t a a ke out of the s a a ck to be su r r e of having a a t least one apple and o n n e pear of t h h e same col o o ur?
5 points
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Q19. For t t he game of Chess a ne w w piece, the K K angaroo, h a a s been inve n ted. With ea c ch jump the kangaroo ju mps either 3 3 squares ve rtically and 1 1 Horizon t t ally, or 3 h o o rizontally a n n d 1 verticall l y, as pictur e e d. What is t h h e smalles t t number of j j umps the k a a ngaroo mu s s t make to m m ove from it s s current position to p p osition A?
5 points
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Q20. Sara h bought th r r ee books. F F or the first b b ook she pa i i d half of he r r money plu s s 1 Euro mo r r e. For the sec o o nd book sh e e paid again half of her l e e ft ‐ over mo n n ey plus 2 E u u ro’s more. F F or the third book she pai d d again half o o f her left ‐ o v v er money pl l us 3 Euro’s m m ore. After which she h ad spent all of her money. How much money did s he have to b b egin with?
5 points
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Q21. Nin a a wants to m ake a cube f f rom the pa p p er net. You c an see the r e are 7 squa a res Instead of 6. Which square(s) ca n she remo v v e from the n n et, so that t he other 6 square s s remain con nected and f f rom the ne w w ly formed n n et a cube c a a n be made ? ?
5 points
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Q22. A tr a a in has 12 c a a rriages. In e e ach carriag e e there is th e e same num b b er of comp a a rtments. M M ike is th rd sitting i n n the 18 co mpartment b b ehind the e e ngine, this i s s in the 3 c a a rriage. Joa n nna is sittin g g in the th th 50 co m m partment b ehind the e n n gine, this is in the 7 ca rriage. Ho w many com p p artments a r r e in one carriage e ?
5 points
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Q23. In h o o w many wa ys can the t h h ree kangar o o os be plac e e d in three d ifferent squ a a res so that n n o kangar o o o has an im m m ediate nei g g hbour?
5 points
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Q24. Mar ia writes a n umber on e a a ch face of t h h e cube. Th e e n, for each corner poin t t of the cub e e , she adds t t he numbers on the face s s which me e e t at that cor ner. (For cor n ner B she ad ds the num b b ers on face s s BCDA, BAE F and BFGC. ) ) In this way she gets a t o o tal of 14 fo r r corner C, 1 6 6 for corner D, and 24 f o o r corner E. W W hich total, d d oes she get for corner F F ?
5 points
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