Đề thi toán AMC năm 2017

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Middle Primary Division

Questions 1 to 10, 3 marks each

1. The value of 2 + 0 + 1 + 7 is

(A) 10 (B) 19 (C) 37 (D) 208 (E) 2017

2. Jillian has her 9th birthday in 2017. In which year was she born?

(A) 2006 (B) 2007 (C) 2008 (D) 2009 (E) 2010

3. What is the value of the 2 in 213? (A) 0.02 (B) 0.2 (C) 2 (D) 20 (E) 200

4. The squirrel’s tree is on square L3. To get there from square K1, the squirrel must move

(A) two squares right and one square down (B) one square left and two squares down (C) three squares left and two squares down (D) three squares right and one square down (E) one square right and two squares down

1

J

2

K

3

L

4

M

MP 2

5. Lincoln went to buy some fruit at the school canteen. He bought 4 apples which cost 30 cents each. How much did the 4 apples cost?

(A) 60c (B) 80c (C) $1.00 (D) $1.20 (E) $1.60

6. Five dice were rolled, and the results were as shown. What fraction of the dice showed a two on top?

(A) 3

4 (B) 1

2 (C) 2

3

(D) 2

5 (E) 3

5

7. Zara was cycling. She came to a T-intersection in the road where she saw this sign. The road to Smithton passes through Marytown. How many kilometres is it from Marytown to Smithton?

Smithton 23 km

Marytown 15 km

Janesville 28 km

(A) 8 (B) 13 (C) 38 (D) 43 (E) 51

8. Riverside Primary School has 235 staffand students. Each bus can fit 50 people. What is the least number of buses they need for a whole school excursion? (A) 2 (B) 3 (C) 5 (D) 6 (E) 7

MP 3

9. Which of these shapes are pentagons?

1 2 3

4 5

(A) all of the shapes (B) shape 3 only (C) shapes 3 and 4

(D) shapes 1 and 3 (E) none of the shapes

10. Fred gave half of his apples to Beth, and then half of what was left to Sally, leaving him with just one apple. How many did he have to start with? (A) 12 (B) 8 (C) 6 (D) 4 (E) 2

Questions 11 to 20, 4 marks each

11. Which of the shaded areas below is the largest?

(A) (B) (C) (D) (E)

12. Helen is adding some numbers and gets the total 157. Then she realises that she has written one of the numbers as 73 rather than 37. What should the total be? (A) 110 (B) 121 (C) 124 (D) 131 (E) 751

MP 4

13. In the year 3017, the Australian Mint recycled its coins to make new coins. Each 50c coin was cut into six triangles, six squares, and one hexagon. The triangles were each worth 3c and the squares were each worth 4c. How much should the value of the hexagon be to make the total still worth 50c?

3c

4c

3c

4c

3c

4c

3c

4c

3c

4c

3c

4c

?

(A) 3c (B) 8c (C) 18c (D) 20c (E) 43c

14. At the supermarket Ashan noticed that her favourite biscuits were on special, with one-third extra for free in the packet. If this special packet contained 24 biscuits, how many biscuits would be in the normal packet?

(A) 12 (B) 16 (C) 18 (D) 20 (E) 32

15. Greg sees a clock in the mirror, where it looks like this. What is the actual time? (A) 4:10 (B) 4:50 (C) 5:10

(D) 6:50 (E) 7:10

12

16. Jonathan made this shape with rectangular cards 2 cm long and 1 cm wide. What is the perimeter of the shape?

(A) 6 cm (B) 12 cm (C) 18 cm

(D) 24 cm (E) 36 cm