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SASMO 2021 Grade 3

Question 1

Platform scoring: start at 0; Q1–15 earn 2 points each and Q16–25 earn 4 each; wrong or blank answers earn 0; maximum 70. Official SASMO scoring starts at 15, deducts 1 for wrong Section A answers and has maximum 85. Time: 90 minutes (verified format reference; not printed on these source pages).

Calculate the following sum: $2021+1202+110$.
  1. 3233
  2. 3323
  3. 3333
  4. 3332
  5. None of the above

Question 2

Take the smallest 3-digit number and add it to the largest 2-digit number. Subsequently, subtract from this sum the largest 1-digit number. What is the number obtained?
  1. 200
  2. 199
  3. 198
  4. 109
  5. None of the above

Question 3

What comes next in the following pattern?

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

Question 4

Starting from 1, which whole number is the 11th number that is not a multiple of 3?
  1. 16
  2. 14
  3. 11
  4. 10
  5. None of the above

Question 5

The squares below must be filled with the numbers 6 to 10 so that the row sum equals the column sum. The numbers 6 and 9 are already filled in. What is the row sum? Use each of 6, 7, 8, 9 and 10 exactly once.

Question illustration
  1. 40
  2. 24
  3. 19
  4. 18
  5. None of the above

Question 6

How many whole numbers from 1 to 201 consist of only even digits?
  1. 201
  2. 40
  3. 25
  4. 20
  5. None of the above

Question 7

What is the next number in the pattern?

4, 8, 8, 7, 12, 6, 16, 5, ___
  1. 32
  2. 21
  3. 20
  4. 4
  5. None of the above

Question 8

Given the prices below, what is the least cost, in dollars, to purchase 17 durians? Prices: 1 durian for 5 dollars, 4 for 18 dollars, or 10 for 40 dollars. Buy exactly 17; deals may be combined and repeated.

Question illustration
  1. 70 dollars
  2. 73 dollars
  3. 77 dollars
  4. 85 dollars
  5. None of the above

Question 9

The four-digit number 17X8 is divisible by 3. If X is an odd digit, find X.
  1. 1
  2. 3
  3. 5
  4. 8
  5. None of the above

Question 10

Which figure is a rotation of the figure at the upper right? Preserve the dark and light markings when comparing.

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

Question 11

Arden always tells the truth on Tuesdays, Wednesdays and Thursdays, always lies on Sundays, and may tell the truth or lie on other days. For five consecutive days, he was asked his grade and answered, in order: Primary 2, Primary 3, Primary 4, Primary 2, Primary 5. What grade was Arden in? Assume his grade stayed the same during these five days.
  1. Primary 2
  2. Primary 3
  3. Primary 4
  4. Primary 5
  5. None of the above

Question 12

Each box-shaped figure below is a cuboid made of 6 cubes; all three show the same cuboid in different orientations. How many different cuboids can be formed using exactly 20 identical cubes? Cuboids related only by rotation count as the same.

Question illustration
  1. 2
  2. 3
  3. 4
  4. 5
  5. None of the above

Question 13

Which figure cannot be drawn without lifting the pen and without tracing any line more than once? Every meeting or crossing point of drawn lines is a junction.

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

Question 14

In the table, SASMO2021 appears in row 1. The rows follow a pattern. In which row will SASMO2021 appear for the third time?

Question illustration
  1. 2021
  2. 20
  3. 40
  4. 41
  5. None of the above

Question 15

Melissa, Noah, Olivia, Pierre, Qiqi, Rain and Susan answered 2, 4, 6, 8, 10, 12 or 14 questions correctly in SASMO 2020, not necessarily in that order. Noah answered 6 more correctly than Susan. Rain’s number is 4 times Olivia’s. Melissa and Qiqi together answered 6 times as many as Pierre. How many did Noah answer correctly? Each listed number belongs to exactly one person. The reference to SASMO 2020 is part of this 2021 question.
  1. 8
  2. 10
  3. 12
  4. 14
  5. None of the above

Question 16

How many triangles are there in the figure? Count triangles of every size formed by the drawn straight segments.

Question illustration

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

Question 17

There are 3 different types of fruit in a basket, with 23 fruits altogether. There are 6 times as many oranges as apples. There are more apples than bananas. How many oranges are there?

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

Question 18

Find a two-digit multiple of 6 that is four less than a multiple of 13.

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

Question 19

Jessica’s age is twice Derrick’s age now. Jessica’s age 8 years ago equals Derrick’s age 6 years from now. How old is Jessica now?

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

Question 20

Tracy can travel from her office to her house using the pathways shown. How many metres will she travel if she takes the shortest route?

Office = office, House = house, Mall = shopping mall, Gym = gym.

Question illustration

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