2015 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. The wo r r d KANGAR O O O is written on the top o o f my umbr e e lla. Which o f the followi ng pictures s s hows my u m m brella?

3 points

ABCDE

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Q2. A rectan gle is made of 4 equally sized, small rectangles. T T he smaller s s ide has side len g g th 10 cm. H ow long is t h h e longer sid d e?

3 points

ABCDE

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Q3. Which o f the followi ng numbers is closest to the produc t t of 2 ∙ 015  510 ∙ 2?

3 points

ABCDE

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Q4. The dia g g ram shows t t he net of a c c ube whose faces are nu mbered. Sa s s cha adds the numb e e rs that are o o n opposite f f aces of the c c ube. Which three result s does he ge t t ?

3 points

ABCDE

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Q5. Which o f the followi ng fractions is not a wh o o le number? ଶ଴ଵଵ ଶ ଴ଵଶ ଶ଴ଵଷ ଶ଴ଵସ ଶ ଴ ଴ ଵହ

3 points

ABCDE

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Q6. The driv e e from A ‐ vill age to B ‐ to w w n via C ‐ hou s se takes 13 0 0 minutes. T h h e drive fro m m A ‐ village t o o C ‐ house ta kes 35 minu t t es. How m a ny minutes d d oes a drive from C ‐ hou s s e to B ‐ tow n n take?

3 points

ABCDE

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Q7. The dia g g ram shows t t he net of a t t hree ‐ sided p p rism. Whic h h line of the diagram for m m s an edge of t t he prism to gether with line UV whe e n the net is f f olded up?

3 points

ABCDE

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Q8. When si mon the sq u u irrel comes down from h h is tree ont o o the floor, h e e never mov v es further t h h an 5 m away fr o o m the trun k k of his tree. Furthermor e e , he stays a t t least 5 m a w w ay from th e e dog kenne l. Which p icture show s s most accu r r ately the ar e e a in which S S imon can b e e found?

3 points

ABCDE

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Q9. One cor n n er of a squ a a re piece of p p aper is fold ed into the m m iddle of th e e square. That wa y y an irregula r pentagon i s created. T h h e numerica l values of t h h e areas of t h h e Pentago n and the s q q uare are co n n secutive w h h ole numbe r s. What is t t he area of t t he square?

3 points

ABCDE

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Q10. The sid e e lengths of a a triangle ar e e 6, 10 and 1 1 1. An equila teral triangl e e has the sa m m e perimet e e r as this triangle. How long i s s one side of the equilat e e ral triangle ? ?

3 points

ABCDE

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Q11. A cyclist covers a dis t t ance of 5 m m in one seco o nd. The wh e e els of his bi k k e each hav e e a circumfe r r ence of

4 points

ABCDE

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Q12. All the b b oys in a cla s s s are born o o n different d d ays of the w w eek and all t t he girls are born in diff e e rent months. If one new g g irl or boy j o o ins this clas s s , this is defi n n itely no lon ger true. Ho w many tee n n agers are in this cl ass?

4 points

ABCDE

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Q13. The dia g g ram consist s s of three sq uares each o o ne of side l e e ngth 1. The midpoint of the t o o pmost squa re is exactly above the c o o mmon side of the two o o ther squar e e s. What is t t he area of t t he section c oloured gre y y ? ଷ ଻ ଵ ଵ

4 points

ABCDE

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Q15. During a a thunder st o o rm it rained 15 liters pe r r square me t t er. By how m m uch did th e e water level of an outdoor swimming p p ool increas e e ?

4 points

ABCDE

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Q16. A bush h h as 10 twigs. Each twig h as exactly 5 leaves or ex a a ctly 2 leave s and a flower. W W hich of the following n u u mbers coul d d be the tot a a l number o f f leaves on the bus h h ?

4 points

ABCDE

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Q17. The 10 p p articipants o o f a test ach i i eve on aver a a ge 6 points . Exactly 6 o f f the partici p p ants passed the test. The ave r r age of the p p articipants t t hat passed t t he test was 8 points. What is t t he average of the parti c c ipants that d d id not pass the test?

4 points

ABCDE

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Q19. Eva add e e d the lengt h h s of three s i i des of a rec t t angle and o o btained 44 c c m. Ulli also a added the l e e ngths of three si d d es of the sa me rectangl e e and obtain n ed 40 cm. W W hat is the p e e rimeter of t t he rectangl e e ?

4 points

ABCDE

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Q20. The tea c c her asks fiv e e of her stu d d ents, how m m any of the m m had studie d d the previo u us day. Azra says: “Nobody.” B B erti says: “ O O nly one.” C h h rista says: “ Exactly two. ” ” Doris says: “Exactly thr e ee.” Emina s ays: “Exactly fo u u r.” The teac h h er knows t h h at students always lie if they haven’ t t studied an d are alway s s truthful when they h h ave studie d d . How man y y of those st u u dents had s tudied the p revious day ? ?

4 points

ABCDE

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Q21. In a gro up of kanga r r oos the two lightest on e e s weigh 25 % % of the tot a l weight of t t he whole gr o o up. The thr e e e heaviest o o nes weight 6 6 0 % of the t t otal weight. How many k k angaroos a r r e in this gr o up?

5 points

ABCDE

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Q22. Five pos itive whole n n umbers, w h h ich are not n n ecessarily a a ll different, a a re written o o n five cards . Peter ca lculates the sum of each pair of card s s. He obtain s s only three different re s s ults, namel y y 57, 70 and

5 points

ABCDE

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Q23. A squar e e with area 3 3 0 is split in t t o two by its diagonal an d d then Split int o o triangles a s s shown in t h h e diagram. S S ome of the areas of th e e triangle s s are given i n n the diagra m m . Which of t t he line seg m m ents a, b, c , , d, e of the di i agonal is th e e longest?

5 points

ABCDE

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Q24. Riki wa nts to write one numbe r r in each of t he seven se c c tions of the diagram pic c tured. Two zon es are adjac e e nt if they s h h are a part o o f their outli n n e. The num b er in each z z one should b b e the sum o f all numbe r r s of its adja c c ent zones. R R iki has alre a dy placed n u u mbers in two z o o nes. Which number do e e s she need t t o write in t h h e zone mar k k ed „?".

5 points

ABCDE

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Q25. Florian h h as seven pi e e ces of wire of lengths 1 cm, 2 cm, 3 cm, 4 cm, 5 cm, 6 cm an d 7 cm. He uses some of th o o se pieces to form a wire model of a c c ube with si d d e length 1. H He does not want an y y overlappin g wire parts . What is th e e smallest n u u mber of wir e pieces tha t t he can use?

5 points

ABCDE

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Q26. In the tr a a pezium PQ R R S the sides PQ and SR a re parallel. A A lso 1  RSP = 1 1 20° and R S S  SPP Q Q . What is t h h e size of an g g le  PQR? 3

5 points

ABCDE

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Q27. On a str a a ight line th e e re are five p p oints. Alex m m easures all the distanc e e s between e e very possib le pair of points. He o o btains in as c c ending ord e e r 2, 5, 6, 8, 9 9, k, 15, 17, 20 and 22. W W hat is the v v a alue of k?

5 points

ABCDE

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Q28. I have n o o ted down s ix digits of E r r ich’s seven ‐ digit phone number in t h h e correct o r r der. I don’t k now which d d igit I have m m issed out a n n d where I h ave missed i t out. What i is the maxi m m um number of tries that I have to m a a ke to be su r r e that I hav e e used the c o o rrect phon e e number? (Note: T he first digit could also b b e 0!)

5 points

ABCDE

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Q29. Maria di vides 2015 b b y 1. Then s h h e divides 2 0 0 15 by 2 and then in ord e e r by 3, 4 et c c . up to and i ncluding

5 points

ABCDE

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Q30. Each po s s itive whole number is c o o loured in a c c cording to t he followin g g three rules : : (i) Each n u u mber is eith er red or gr e e en. (ii) The su m m of two diff e e rent red nu u mbers resul t t s in a red n u u mber. (iii) The su m m of two diff e e rent green numbers is a a green num ber. How ma ny ways are there to do t his?

5 points

ABCDE

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