2019澳洲AMC小學高年級組英文試題

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Upper Primary Division

Questions 1 to 10, 3 marks each 1. 201 − 9 =

(A) 111 (B) 182 (C) 188 (D) 192 (E) 198

2. A Runnyball team has 5 players.

This graph shows the number of goals each player scored in a tournament. Who scored the second-highest number of goals?

(A) Ali (B) Beth (C) Caz

(D) Dan (E) Evan 0

1 2 3 4 5 6 7 8

Ali Beth Caz Dan Evan

Goals

Player

3. Six million two hundred and three thousand and six would be written as

(A) 62036 (B) 6 230 006 (C) 6 203 006 (D) 6 203 600 (E) 6 200 306

4. These cards were dropped on the table, one at a time.

In which order were they dropped? (A) 4r Ar 5r 3r 2r (B) Ar 4r 5r 3r 2r (C) 2r 4r Ar 3r 5r (D) Ar 2r 3r 4r 5r (E) 2r 3r 4r 5r Ar

r

A r A r

r

r

r

r

4 r 4 r

r

r

r

r

r

5 r 5 r

r

r

r

3 r 3 r

r

r

2 r 2 r

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and 1st Avenue. Her school is at the corner of 4th Street and 3rd Avenue.

To get there, she walks

(A) 4 blocks east, 3 blocks north (B) 3 blocks west, 4 blocks north (C) 4 blocks west, 2 blocks north (D) 3 blocks east, 2 blocks north

(E) 2 blocks north, 2 blocks south 1st Avenue

2nd Avenue 3rd Avenue 4th Avenue 5th Avenue 1st Street 2nd Street 3rd Street 4th Street S E N W S N E

6. Jake is playing a card game, and these are his cards.

Elena chooses one card from Jake at random.

Which of the following is Elena most

likely to choose?

r

A r A r J r J r

♣ ♣

44

r r

r r

r

r

r

r

r

9 r 9 r

33KK

77

(A) a heart (r) (B) a diamond (q) (C) a spade (♠)

(D) a picture card (J, Q or K) (E) an even-numbered card

7. Which 3D shape below has 5 faces and 9 edges?

(A) (B) (C)

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8. We’re driving from Elizabeth to Renmark, and as we leave we see this sign.

We want to stop at a town for lunch and a break, approximately halfway to Renmark. Which town is the best place to stop?

(A) Gawler (B) Nuriootpa (C) Truro (D) Blanchetown (E) Waikerie

A20 Main North Rd Gawler 15 Nuriootpa 47 Truro 60 Blanchetown 106 Waikerie 148 Renmark 230

9. What is the difference between the heights of the two flagpoles, in metres?

(A) 16.25 (B) 16.75 (C) 17.25 (D) 17.75 (E) 33.25 file:///Users/agk407/Downloads/Flag_of_Australia.svg 1 of 1 14/10/18, 5:53 pm 25 m file:///Users/agk407/Downloads/Flag_of_Australia.svg 1 of 1 14/10/18, 5:53 pm 8.25 m

10. Most of the numbers on this scale are missing.

24 P 42

Which number should be at position P ?

(A) 18 (B) 33 (C) 34 (D) 36 (E) 42

Questions 11 to 20, 4 marks each 11. In a game, two ten-sided dice each marked 0

to 9 are rolled and the two uppermost numbers are added.

For example, with the dice as shown, 0 + 9 = 9. How many different results can be obtained?

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must contain each of the numbers 1, 2 and 3. What is the value of N + M ?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6 M

N

2

13. Ada Lovelace and Charles Babbage were pioneering researchers into early mechanical computers. They were born 24 years apart.

Ada Lovelace Charles Babbage December 1815–November 1852 December 1791–October 1871

To the nearest year, how much longer did Charles Babbage live than Ada Lovelace?

(A) 29 (B) 32 (C) 35 (D) 37 (E) 43

14. You have 12 metres of ribbon. Each decoration needs 2

5 of a metre of ribbon.

How many decorations can you make?

(A) 6 (B) 7 (C) 10

(D) 24 (E) 30

15. Andrew and Bernadette are clearing leaves from their backyard. Bernadette can rake the backyard in 60 minutes, while Andrew can do it in 30 minutes with the vacuum setting on the leaf blower.

If they work together, how many minutes will it take?

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16. A carpet tile measures 50 cm by 50 cm. How many of these tiles would be needed to cover the floor of a room 6 m long and 4 m wide?

(A) 24 (B) 20 (C) 40 (D) 48 (E) 96

17. In how many different ways can you place the numbers 1 to 4 in these four circles so that no two consecutive numbers are side by side?

(A) 2 (B) 4 (C) 6 (D) 8 (E) 12

18. John, Chris, Anne, Holly and Mike are seated around a round table, each with a card with a number on it in front of them.

John 30 Chris 33 Anne 31 Holly 38 Mike 36 21 Each person can see the numbers in

front of their two neighbours. Each person calls out the sum of the two numbers in front of their neighbours. John says 30, Chris says 33, Anne says 31, Holly says 38 and Mike says 36.

Holly has the number 21 in front of her. What number does Anne have in front of her?

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9 cm2. She places one triangle on top of the other as shown to form a star, as shown. What is the area of the star in square centimetres?

á

(A) 10 (B) 12 (C) 14 (D) 16 (E) 18

20. Lola went on a train trip.

During her journey she slept for 3

4 of an hour and stayed awake for 3 4

of the journey.

How long did the trip take?

(A) 1 hour (B) 2 hours (C) 21

2 hours (D) 3 hours (E) 4 hours

Questions 21 to 25, 5 marks each

21. My sister and I are playing a game where she picks two counting numbers and I have to guess them. When I tell her a number, she multiplies my number by her first number and then adds her second number.

When I say 15, she says 50. When I say 2, she says 11. If I say 6, what should she say?

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22. Once the muddy water from the 2018 Ingham floods had drained from Harry’s house, he found this folded map that had been standing in the floodwater at an angle.

He unfolded it and laid it out to dry, but it was still mud-stained.

What could it look like now?

MAP of QUEENSLAND (A) MAP of QUEENSLAND (B) MAP of QUEENSLAND (C) MAP of QUEENSLAND (D) MAP of QUEENSLAND (E) MAP of QUEENSLAND

23. A tower is built from exactly 2019 equal rods. Starting with 3 rods as a triangular base, more rods are added to form a regular octahedron with this base as one of its faces. The top face is then the base of the next octahedron.

The diagram shows the construction of the first three octahedra.

How many octahedra are in the tower when it is finished?

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letters A, M, C, D, E and F on their 6 faces:

F

M

C

A

E

F

D

C

M

The cubes are now placed in a row so that the front looks like this:

A M C F

When we look at the cubes from the opposite side, we will see (A)

A M

E

(B)

E

A M

(C)

E A

M

(D)

E A M

(E)

M A E

25. Points are awarded for the first four places at the swimming carnival as shown in the table.

Aalia competed in the freestyle, backstroke and breaststroke races and scored a total of 11 points.

In how many different ways could she have done this? 1st place 7 points 2nd place 5 points 3rd place 3 points 4th place 1 point (A) 6 (B) 9 (C) 12 (D) 18 (E) 24

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For questions 26 to 30, shade the answer as a whole number from 0 to 999 in the space provided on the answer sheet. Questions 26–30 are worth 6, 7, 8, 9 and 10 marks, respectively.

26. Warren and Naida make a list of numbers. They start with 0, then Warren adds 20, then Naida subtracts 1, then Warren adds 19, then Naida subtracts 2.

0, 20, 19, 38, 36, . . .

This pattern continues until Warren adds 1 and Naida subtracts 20, which ends up back at 0. What is the largest number in their list?

27. Different numbers can be made using the digits 1, 5, 6, 8 and a decimal point. How many possibilities are there if each digit must be used once and the decimal point must lie between two digits?

28. John is one year older than his wife Mary. They have three children, whose ages are two years apart.

The product of John and Mary’s ages is less than 2019. The product of the three children’s ages is also less than 2019.

Next year both these products will be greater than 2020. This year, what is the sum of all five ages?

29. A seven-digit number is in the form 20AM C19, with all digits differ-ent. It is divisible by 9.

What is the value of A + M + C?

30. I have five children and want to place them in a line for a photo-graph. However, Hugh refuses to stand anywhere in between Louise and Richard. How many ways are there to place the children in a line and still keep Hugh happy?

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參考文獻

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