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SASMO 2021 Grade 2

Question 1

In a Formula 1 car race, a Ferrari driver started the race in last place. Throughout the race, the driver overtook 9 other cars and finished in third place. How many cars were in the race?

Interpretation: the 9 overtakes are of distinct cars that finish behind the Ferrari; no cars withdraw or pass it back.

Platform scoring: start at 0; Q1–15 earn 2 points each and Q16–25 earn 4; wrong or blank answers earn 0; maximum 70. Official SASMO rules use 15 starting points, −1 for a wrong Section A answer, and maximum 85. Time: 90 minutes (official-format reference; not printed on these source pages).
  1. 11
  2. 12
  3. 13
  4. 14
  5. None of the above

Question 2

Study the pattern below and find the missing figure marked “?”.

Question illustration
  1. Figure A in the source diagram
  2. Figure B in the source diagram
  3. Figure C in the source diagram
  4. Figure D in the source diagram
  5. Figure E in the source diagram

Question 3

All cubes in the picture have equal height, and all books have equal thickness. The height of two cubes is 32 cm. Find the difference, in cm, between the height of one cube and the thickness of one book.

Question illustration
  1. 6
  2. 7
  3. 8
  4. 9
  5. None of the above

Question 4

What comes next in the following pattern?

Question illustration
  1. Figure A in the source diagram
  2. Figure B in the source diagram
  3. Figure C in the source diagram
  4. Figure D in the source diagram
  5. Figure E in the source diagram

Question 5

Which picture below is exactly the same as the reference picture at the upper right?

Question illustration
  1. Figure A in the source diagram
  2. Figure B in the source diagram
  3. Figure C in the source diagram
  4. Figure D in the source diagram
  5. Figure E in the source diagram

Question 6

Which figure below is different from the reference figure at the upper right?

Rotating a figure is allowed; its shading must still match.

Question illustration
  1. Figure A in the source diagram
  2. Figure B in the source diagram
  3. Figure C in the source diagram
  4. Figure D in the source diagram
  5. Figure E in the source diagram

Question 7

The star is the smallest 4-digit number made using all the digits 2, 0, 2 and 1. The diamond is the largest 4-digit number made using all the same digits. Find diamond − star.

Question illustration
  1. 1188
  2. 1179
  3. 1008
  4. 999
  5. None of the above

Question 8

Calculate:

$10-6+20-16+30-26+40-36+50-46+60-56+70-66+2021$.
  1. 28
  2. 2054
  3. 2045
  4. 2049
  5. None of the above

Question 9

If the day after tomorrow will be Monday, what was the day 3 days before yesterday?
  1. Friday
  2. Thursday
  3. Wednesday
  4. Tuesday
  5. None of the above

Question 10

The first row of the table contains SASMO2021. The rows follow a pattern. In which row will SASMO2021 appear for the second time?

Use the continuing cyclic shifts shown: the five-letter part and the four-digit part each move their first character to the end at every step.

Question illustration
  1. 20
  2. 21
  3. 30
  4. 31
  5. None of the above

Question 11

Each box-shaped figure shown is a cuboid made of 6 cubes. The three pictures show the same-sized cuboid in different orientations. How many differently sized cuboids can be formed from exactly 18 identical cubes?

Count solid cuboids with no gaps. Turning the same cuboid does not make a new size.

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

Question 12

Find the missing number in the pattern:

3, 4, 7, 11, 18, 29, ?, 76.
  1. 30
  2. 67
  3. 47
  4. 45
  5. None of the above

Question 13

A basket with 5 watermelons weighs 3250 grams. After 3 watermelons are removed, it weighs 1510 grams. What is the weight of the basket in grams?

Necessary assumption used by the source: all five watermelons weigh the same.
  1. 350 grams
  2. 1160 grams
  3. 1740 grams
  4. 870 grams
  5. None of the above

Question 14

How many different two-digit odd numbers can be formed using an odd total number of matchsticks? The shapes of digits 0 to 9 are shown below.

Question illustration
  1. 20
  2. 19
  3. 18
  4. 21
  5. None of the above

Question 15

Nine students stand in a line to receive SASMO awards. Seven are Primary 5 students, five are gold award winners, and four are silver award winners. Both neighbours of every silver winner are gold winners. No two gold winners are next to each other. The first and last students are not Primary 5 students. How many students are Primary 5 gold winners?
  1. 1
  2. 2
  3. 3
  4. 4
  5. None of the above

Question 16

In a concert hall, there were 4 times as many women as men. There were 126 more women than men. How many people were there altogether?

Answer entry: enter only the whole number, without units. The paper uses four-digit shaded answers with leading zeros; this platform accepts ordinary integer entry.

Question 17

The picture equations use a horse, a duck and a bear. Find the sum horse + duck + bear.

Use positive whole-number values, as intended in this primary-school puzzle.

Question illustration

Answer entry: enter only the whole number, without units. The paper uses four-digit shaded answers with leading zeros; this platform accepts ordinary integer entry.

Question 18

How many triangles are there in the figure below?

Question illustration

Answer entry: enter only the whole number, without units. The paper uses four-digit shaded answers with leading zeros; this platform accepts ordinary integer entry.

Question 19

The picture graph shows the game cards collected by four boys. Together they collected 204 cards. How many game cards does each outlined rectangle represent? Each rectangle represents the same number of cards.

Question illustration

Answer entry: enter only the whole number, without units. The paper uses four-digit shaded answers with leading zeros; this platform accepts ordinary integer entry.

Question 20

How many ways are there to travel from House A to House B if you can only move right and down along the drawn lines?

Question illustration

Answer entry: enter only the whole number, without units. The paper uses four-digit shaded answers with leading zeros; this platform accepts ordinary integer entry.