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SASMO 2019 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.

Calculate $7+16+34+45+50-6-15-4-7$.
  1. 70
  2. 120
  3. 127
  4. 124
  5. None of the above

Question 2

Study the pattern. How many black circles are in the circle with the question mark?

Question illustration

Interpretation: continue the three interleaved patterns shown.
  1. 0
  2. 2
  3. 3
  4. 4
  5. None of the above

Question 3

Kevin has 3 regular dice. Each die has numbers from 1 to 6. Which number could NOT be the sum of the numbers on top of the 3 dice?
  1. 5
  2. 13
  3. 17
  4. 22
  5. All the above numbers are possible sums

Question 4

Find the top view of the figure. The labelled alternatives are preserved in the source image.

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

Question 5

Mitchell, Jason, Tom and Mark race across a field. Mark finishes one place ahead of Jason. Mitchell finishes one place behind the winner. Who wins?
  1. Mitchell
  2. Jason
  3. Tom
  4. Mark
  5. Jason and Mark

Question 6

Toy cars come in 5 colours: blue, white, yellow, black and red. A car has either 2 or 4 doors. How many different versions are available?
  1. 10
  2. 20
  3. 8
  4. 9
  5. None of the above

Question 7

Find the mirror image of the picture at the upper right.

Question illustration

Interpretation: reflect left to right in a vertical mirror; do not rotate the picture.
  1. Figure A
  2. Figure B
  3. Figure C
  4. Figure D
  5. Figure E

Question 8

The four-digit number $32B9$ is divisible by 3. If B is even, find B.
  1. 0
  2. 2
  3. 4
  4. 6
  5. 8

Question 9

How many balloons are needed to carry the sheep, cat and dog? All balloons are visible and the same size; none are hidden.

Question illustration

Use the intended model: identical baskets, equal balloon lifting capacity, and each shown group represents exactly the load its balloons can carry.
  1. 8
  2. 16
  3. 7
  4. 9
  5. None of the above

Question 10

A group of friends arrives at SASMO Cinema at 9:30 and watches both movies together. What is the earliest finishing time?

Four Princesses: 115 minutes; starts at 10:00, 12:15, 13:55, 17:05, 19:35.

Dragon Fighter: 105 minutes; starts at 9:00, 10:55, 14:10, 16:50, 19:35.

Assume they watch each complete movie from its listed start, with no overlap.
  1. 14:00
  2. 12:40
  3. 15:50
  4. 15:55
  5. None of the above

Question 11

Find the missing shape in the diagram.

Question illustration

Use the suggested overlay rule: combine the arm shapes and larger circular outlines; omit the tiny centre circle, as in the two completed rows.
  1. Figure A
  2. Figure B
  3. Figure C
  4. Figure D
  5. None of them

Question 12

All the figures are made from identical squares. The figure with the largest area has area $48\text{ cm}^2$. Find the perimeter of the figure with the largest perimeter.

Question illustration

Count every exposed square edge, including edges of pieces that touch only at corners.
  1. 46 cm
  2. 96 cm
  3. 32 cm
  4. 48 cm
  5. None of the above

Question 13

On Saturday Diana reads 102 pages of a book. On Sunday she reads 100 pages. Each day she reads 2 fewer pages than the previous day. On which day of the week does she read exactly 4 pages?
  1. Monday
  2. Wednesday
  3. Friday
  4. Sunday
  5. None of the above

Question 14

How many two-digit numbers are divisible by both 2 and 3?
  1. 16
  2. 75
  3. 15
  4. 60
  5. None of the above

Question 15

Study the balanced scales. Which toy is the heaviest?

Question illustration
  1. Train
  2. Submarine
  3. Ship
  4. Car
  5. None of the above

Question 16

How many rectangles are in the picture? Include squares as rectangles.

Question illustration

Answer format: enter one whole number without units.

Question 17

The operator $\circledast$ gives $2\circledast4=44$, $5\circledast7=104$, $1\circledast5=28$, $7\circledast10=146$. Find $6\circledast12$.

Use the simplest rule of the form “a fixed multiple of the first number plus a fixed multiple of the second”.

Answer format: enter one whole number without units.

Question 18

The pictograph shows how many muffins five siblings have initially. Each muffin icon stands for 6 muffins. Their mom collects all muffins and shares them equally among Anastacia, Braiden, Darla and Eddie. How many MORE muffins does Eddie now have?

Question illustration

Answer format: enter one whole number without units.

Question 19

Andrew, Kim and Shaun have 256 stamps in total. Shaun has twice as many as Kim. Andrew has 24 fewer than Shaun. How many stamps does Andrew have?

Answer format: enter one whole number without units.

Question 20

Find the value of the box: $\boxminus\times6+13-\boxminus=17+46$.

Answer format: enter one whole number without units.