SASMO 2017 Primary 3 (Grade 3) Contest

Question 1

What is $2017+7012+271$?

1. 9200
2. 9290
3. 9300
4. 9390
5. None of the above

Question 2

Fill in the blank: $\underline{\hspace{8mm}}$ is 3 tens 7 ones less than 4 tens 6 ones.

1. 9
2. 19
3. 73
4. 83
5. None of the above

Question 3

Sally wrote “Singapore and Asian Schools Math Olympiad”, starting on Sunday and writing one letter each day. On which day of the week did she finish all the letters?

1. Saturday
2. Sunday
3. Monday
4. Tuesday
5. None of the above

Question 4

What is the next number in the sequence $47,44,38,29,17,\ldots$?

1. 12
2. 8
3. 5
4. 2
5. None of the above

Question 5

The grid can be filled with exactly four shapes—star, square, circle and diamond—so that no shape is repeated in any row or column. Which shape belongs in the cell marked with a question mark?

1. Diamond
2. Star
3. Square
4. Circle
5. It cannot be found.

Question 6

During the daytime, Jack is standing in front of a mirror and sees the clock shown. What will the time be after 15 minutes?

1. 10:10 a.m.
2. 10:25 a.m.
3. 2:05 p.m.
4. 3:05 p.m.
5. None of the above

Question 7

Hannah bought 5 whole pizzas: one for herself and one for each of four students. Hannah ate $3/5$ of hers. Student A ate $3/4$, B ate $7/8$, C ate $2/3$, and D ate $3/6$. Who ate less pizza than Hannah?

1. Student A
2. Student B
3. Student C
4. Student D
5. Nobody

Question 8

Animals are placed on both sides of balanced scales as shown. How many birds have the same weight as one elephant?

1. 3
2. 4
3. 5
4. 6
5. None of the above

Question 9

Suppose the club symbol represents a whole number. Starting with it, perform the first sequence of operations in the diagram to obtain 66. Starting with the same number again, divide by 4 and then multiply by 9. What whole number does the musical-note symbol represent?

1. 8
2. 18
3. 36
4. 108
5. None of the above

Question 10

Nick wants to bake a cake with exactly 1 flavour and 1 topping. He can choose from 3 flavours and 3 toppings. How many different cakes can he make?

1. 3
2. 6
3. 9
4. 12
5. None of the above

Question 11

Which picture below is exactly the same as the picture on the right?

1. Figure A
2. Figure B
3. Figure C
4. Figure D
5. Figure E

Question 12

The square has area $40\text{ cm}^2$. Point $O$ is its centre. What is the area of the shaded region?

1. $10\text{ cm}^2$
2. $15\text{ cm}^2$
3. $20\text{ cm}^2$
4. $24\text{ cm}^2$
5. None of the above

Question 13

Equal cubes are stacked in a corner as shown. The floor is horizontal, the two walls are vertical, and there are no hidden gaps. How many cubes are there altogether?

1. 13
2. 15
3. 17
4. 19
5. None of the above

Question 14

An unknown number is odd, greater than 50 but less than 100, and is a multiple of both 3 and 7. Find the number.

1. 63
2. 77
3. 84
4. 91
5. None of the above

Question 15

The operator $\triangle$ acts as follows: $3\triangle2=12$, $4\triangle5=40$, $5\triangle9=90$, and $6\triangle1=12$. Find $2\triangle7$.

1. 14
2. 20
3. 24
4. 28
5. None of the above

Question 16

Given the two fruit equations shown, find the value of one apple plus one banana.

Question 17

How many triangles are there in the figure?

Question 18

The picture graph shows the numbers of storybooks owned by Phoebe, Queenie, Rachael and Suzy. Each bag represents the same number of books, and they have 40 books altogether. If Queenie wants twice as many books as Phoebe, how many must she buy?

Question 19

Jason, Adam and Tom are siblings aged 6, 9 and 10. Tom's age is a multiple of 3, and Jason is younger than Tom. How old is Adam?

Question 20

In 6 years, Claire will be three times her current age. How old will she be two years from now?