2015 Kangaroo Math Ecolier Test

Q2. Florian has 10 identical metal strips, each with the same amount of holes (picture on the left). He bolts these strips in pairs. That way he gets the 5 long strips in the picture on the right. Which of the long strips is the longest?

3 points

Q3. In kangaroo land you pay with “Kangas”. Lucy has a few Kangas in her purse. She buys a ball and pays 7 Kangas. How many Kangas does she have left over, after she has paid fort he ball?

3 points

Q5. , Charlie 2 2 6, David 2 7 and Elis a a 28 biscui t t s. By the e e nd of the w w eekend o o ne o f the children h a a d t w w ice as ma n n y, one 3 t imes, one 4 times, o n n e 5 times and one 6 6 times as m m any bisc u u its as on S a a turday. W ho baked t t he most b b iscuits on Saturday?

3 points

Q7. 9 points, n n umbered 1 to 9 are marked o n n a circle. P P oint 1 is j o o ined to p o o int 3, 3 to 5. Contin u u e the dra w w ing, alwa y y s joining t t o the nex t t but one p o o int along. Which dr a a wing do y o o u get if y o o u keep g o o ing until y o u get bac c k to point 1?

3 points

Q8. In the dia g g ram you c c an see a v v ery ragge d d island. S o o me of th e e fr o o gs are sit t t ing in the water. Ho w w many ar e sitting o n n the isl and?

3 points

Q9. Luis has g o o t 7 apple s s and 2 ba n n anas. He g g ives 2 ap p p les to his f f riend Jac o o b, who gi v v es him b a a nanas in r eturn. Aft erwards L u u is has got the same amounts o o f apples a s bananas . . How ma n n y b a a nanas did Luis get fr om Jacob ? ?

4 points

Q10. Julia fol d d s the pap e e r net pict u u red on th e e right, int o o a cube. W W hich nu m m ber is 2 34 o n n the face t t hat is opp osite to th e face wit h h the num b b er 3? 5

4 points

Q11. Jack ma k k es a cube from 27 s m m all cubes . . The smal l l cubes ar e e either gr e e y or w h h ite as sh o o wn in the diagram. T T wo small c c ubes wit h h the same colour ar e e not al l owed to b b e placed n n ext to eac h h other. H o o w many s s mall, whit e cubes h a a s Ja c c k used?

4 points

Q12. 10 runn e e rs start in a running race. At t h h e finish, t h h ere are 3 more run n n ers behin d d Thomas th an there a re in front of him. I n n which po s s ition did T T homas fi n n ish?

4 points

Q13. Joseph h as got a t o o y car, a te d d dy bear, a a ball and a a ship. He w w ants to p p ut them i n n a new or der on th e e shelf. Th e e ship mus t t be next t o o the car, a a nd the te d d dy bear s h h ould also be next t o o th e car. In h h ow many d d ifferent o o rders can h he put the toys on t h h e sh elf?

4 points

Q14. Peter rid es his bik e e along a c y y cle path i n n a park. H e starts at p o o int S and r r ides in th e e direction o f the arr o o w. At th e e first cr o o ssing he t t urns right , , then at t h h e next lef t t , and the n n again to th e right an d d then aga i i n to left. W W hich cro s s sing does he not re ach?

4 points

Q15. Two of t h h e 5 ladyb i i rds in the picture ar e e always f r r iends w i i th each o t t her if the d d ifference between t t heir num b b er of dots is exactly 1. T T oday eve r r y ladybir d d has sent a a n SMS to each of th eir friends . How ma n n y SMS m e e ssages we re sent?

4 points

Q16. There ar e e 10 balls, numbere d d 0 to 9 in a a basket. J J ohn and G e e orge play a game. E a a ch perso n n is allowe d d to take t h h ree balls fr o o m the ba s s ket and c a a lculate th e e total of t he numbe rs on the b a a lls. What i s the bigg e e st possibl e e differen c c e betwee n n the john a n n d George s s totals?

4 points

Q17. Luca wa n n ts to cut t t he shape i n figure 1 into equal ly sized s m m all triangl es (like th o o se in figu r r e 2). One o o f these tr iangles is al r r eady dra w w n on figu r r e 1. How m m any of th ese triang l l es will he Figur 2 2 g e e t?

5 points

Q18. Some of the small s s quares o n n each of t h h e square t t ranspare n n cies h a a ve been c o o loured bl a a ck. If yo u u slide the t t hree tran s s parencie s on to p of each o o ther, wit h h out lifting them fro m m the tabl e e , a new p a a ttern can b be seen. W W hat is the maximu m m number o o f black sq uares whi c c h could b e e seen in t h e new pa ttern?

5 points

Q19. The nu m m bers 1, 2, 3 3 , 4 and 9 are writte n n into the s s quares o n n the fo llowing fig ure. The s u u m of the t t hree num bers in th e e horizont a a l row, sh ould be th e same as the sum o o f the thre e e numbers in the ver t t ical c o o lumn. W h h ich numb e e r is writt e n in the m iddle?

5 points

Q20. The sha p p e in the p i i cture is to be split in to three i d d entical pi e e ces. W hat does o o ne of the s s e pieces l o o ok like?

5 points

Q22. In this s q q uare ther e e are 9 do t s. The dis t t ance bet w w een the p oints is al w w ays th e same. Y o o u can dra w w a squar e e by joinin g g 4 points. How man y y different si z z es can su c c h squares have?

5 points

Q23. Thomas d d rew a pi g g and a sha rk. He cut s s each ani m m al into th r ee pieces . . Then he t t akes one o of th e two hea d d s, one o f the two m iddle secti ons and o n n e o f the t w w o tails a n n d lays the m togethe r to make an o o ther anim a a l. How m a a ny differ e e nt animal s s can he m ake in this way?

5 points

2015 Ecolier (Grade 3 - 4)

Q1. Question text unavailable

Q2. Florian has 10 identical metal strips, each with the same amount of holes (picture on the left). He bolts these strips in pairs. That way he gets the 5 long strips in the picture on the right. Which of the long strips is the longest?

Q3. In kangaroo land you pay with “Kangas”. Lucy has a few Kangas in her purse. She buys a ball and pays 7 Kangas. How many Kangas does she have left over, after she has paid fort he ball?

Q4. If you multiply both digits of the number 35, you get 15. How big is the sum of both digits?

Q5. , Charlie 2 2 6, David 2 7 and Elis a a 28 biscui t t s. By the e e nd of the w w eekend o o ne o f the children h a a d t w w ice as ma n n y, one 3 t imes, one 4 times, o n n e 5 times and one 6 6 times as m m any bisc u u its as on S a a turday. W ho baked t t he most b b iscuits on Saturday?

Q6. The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella

Q7. 9 points, n n umbered 1 to 9 are marked o n n a circle. P P oint 1 is j o o ined to p o o int 3, 3 to 5. Contin u u e the dra w w ing, alwa y y s joining t t o the nex t t but one p o o int along. Which dr a a wing do y o o u get if y o o u keep g o o ing until y o u get bac c k to point 1?

Q8. In the dia g g ram you c c an see a v v ery ragge d d island. S o o me of th e e fr o o gs are sit t t ing in the water. Ho w w many ar e sitting o n n the isl and?

Q9. Luis has g o o t 7 apple s s and 2 ba n n anas. He g g ives 2 ap p p les to his f f riend Jac o o b, who gi v v es him b a a nanas in r eturn. Aft erwards L u u is has got the same amounts o o f apples a s bananas . . How ma n n y b a a nanas did Luis get fr om Jacob ? ?

Q10. Julia fol d d s the pap e e r net pict u u red on th e e right, int o o a cube. W W hich nu m m ber is 2 34 o n n the face t t hat is opp osite to th e face wit h h the num b b er 3? 5

Q12. 10 runn e e rs start in a running race. At t h h e finish, t h h ere are 3 more run n n ers behin d d Thomas th an there a re in front of him. I n n which po s s ition did T T homas fi n n ish?

Q15. Two of t h h e 5 ladyb i i rds in the picture ar e e always f r r iends w i i th each o t t her if the d d ifference between t t heir num b b er of dots is exactly 1. T T oday eve r r y ladybir d d has sent a a n SMS to each of th eir friends . How ma n n y SMS m e e ssages we re sent?

Q17. Luca wa n n ts to cut t t he shape i n figure 1 into equal ly sized s m m all triangl es (like th o o se in figu r r e 2). One o o f these tr iangles is al r r eady dra w w n on figu r r e 1. How m m any of th ese triang l l es will he Figur 2 2 g e e t?

Q20. The sha p p e in the p i i cture is to be split in to three i d d entical pi e e ces. W hat does o o ne of the s s e pieces l o o ok like?

Q21. Which p i i cture sho w w s a single large loo p p ?

Q22. In this s q q uare ther e e are 9 do t s. The dis t t ance bet w w een the p oints is al w w ays th e same. Y o o u can dra w w a squar e e by joinin g g 4 points. How man y y different si z z es can su c c h squares have?

Q24. Anna, B e e rta, Charli e, David a n n d Elisa ba ked biscui t t s at the w w eekend. A A nna bake d d 24, Bert a a