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SASMO 2020 Grade 3

Question 1

Scoring for this entire paper: on this platform, start at 0; Q1–15 earn 2 points each and Q16–25 earn 4 points each. Incorrect or blank answers earn 0; maximum 70. Official SASMO rules: start with 15 points; Section A (Q1–15) awards +2/−1/0 for correct/incorrect/blank, and Section B (Q16–25) awards +4/0/0; maximum 85.

What is the value of the following sum?

$902+804+700+609+508+403+307+201+106$
  1. 4450
  2. 4540
  3. 4500
  4. 4505
  5. None of the above

Question 2

Fill in the blank: _____ is 2 tens 8 ones less than 5 tens 5 ones.
  1. 27
  2. 37
  3. 73
  4. 20
  5. None of the above

Question 3

Study the pattern below and find “?”.

Question illustration
  1. Picture A
  2. Picture B
  3. Picture C
  4. Picture D
  5. Picture E

Question 4

Alice’s first day in Caterpillar Club was Tuesday. She wants to throw a party on her 40th day in the club. If Alice attends the club every day, on which day of the week will the party be?
  1. Friday
  2. Saturday
  3. Sunday
  4. Monday
  5. None of the above

Question 5

How many multiples of 6 are there between 14 and 100?
  1. 16
  2. 15
  3. 14
  4. 13
  5. None of the above

Question 6

The diagram shows some cubes of the same size stacked at a corner of a room. How many cubes are there altogether? The floor is horizontal, and the two walls are vertical. There are no gaps or holes behind the visible cubes.

Question illustration
  1. 20
  2. 30
  3. 31
  4. 29
  5. None of the above

Question 7

Alicia and Emily agreed to meet at the cinema at 3.55 pm. Emily left her house at 1.47 pm but arrived at the cinema 17 minutes late. How long was Emily’s journey from her house to the cinema?
  1. 189 minutes
  2. 172 minutes
  3. 216 minutes
  4. 206 minutes
  5. None of the above

Question 8

What is the missing number in the sequence below?

$1,3,7,15,31,\ldots$
  1. 63
  2. 47
  3. 57
  4. 59
  5. None of the above

Question 9

If the four-digit number 3P78 is divisible by 3, how many possible values are there for P?
  1. 4
  2. 3
  3. 5
  4. 10
  5. None of the above

Question 10

In the fictional “Odd Island”, all numbers contain only odd digits. The counting numbers are ordered as follows: $1,3,5,7,\ldots,19,31,33,\ldots$. What is the 31st counting number on the island?
  1. 101
  2. 111
  3. 99
  4. 113
  5. None of the above

Question 11

The weights of four boys are 45 kg, 48 kg, 52 kg and 53 kg. Mason’s weight is an even number. Joshua’s weight is a multiple of 5. Christopher is not the heaviest and Mateo is not the lightest. Who is the heaviest?
  1. Mason
  2. Joshua
  3. Christopher
  4. Mateo
  5. Impossible to determine

Question 12

Alex, John and Sam bought 120 oranges altogether. Alex paid 20 dollars, John paid 15 dollars and Sam paid 5 dollars. They divided the oranges in proportion to how much each paid. How many oranges did John get?
  1. 15
  2. 30
  3. 45
  4. 60
  5. None of the above

Question 13

A tank filled with 200 litres of water weighs 350 kg. The same tank filled with 150 litres of water weighs 315 kg. What is the weight of the empty tank?

Modelling note: use the stated weights and assume a constant weight per litre. These data are not realistic for ordinary water; treat them as the problem’s numerical model.
  1. 120 kg
  2. 150 kg
  3. 165 kg
  4. 210 kg
  5. None of the above

Question 14

A city council puts lanterns on both sides of a river. Neighbouring lanterns on each side are 11 metres apart. The river is 132 metres long, and the distance between the first and last lantern on each side is also 132 metres. How many lanterns are there in total?
  1. 12
  2. 13
  3. 24
  4. 26
  5. None of the above

Question 15

Which picture below can form the pyramid model shown above the options?

Question illustration
  1. Picture A
  2. Picture B
  3. Picture C
  4. Picture D
  5. Picture E

Question 16

What is the sum of the first 30 numbers of the following pattern?

$50,49,48,47,46,\ldots$

Answer format: enter one whole number without units. Leading zeros are optional (the source’s paper answer sheet uses four digits).

Question 17

If you increase the length of a rectangle by 12 cm, the new rectangle has perimeter 38 cm. What is the perimeter of the original rectangle?

Answer format: enter one whole number without units. Leading zeros are optional (the source’s paper answer sheet uses four digits).

Question 18

How many triangles are there in the figure below?

Question illustration

Answer format: enter one whole number without units. Leading zeros are optional (the source’s paper answer sheet uses four digits).

Question 19

The graph shows the number of guests who visited the National Museum in the first six months of 2019. How many people visited during these six months?

Question illustration

Answer format: enter one whole number without units. Leading zeros are optional (the source’s paper answer sheet uses four digits).

Question 20

Study the picture below. Find the value represented by the sun. Follow the train’s operations from left to right.

Question illustration

Answer format: enter one whole number without units. Leading zeros are optional (the source’s paper answer sheet uses four digits).