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FMO 2021 - Grade 3 - International - Paper 10 - Sample

Question 1

Given the four figures below, which figure should come next?

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

How many triangles are there in the picture?

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  1. 3
  2. 4
  3. 5
  4. 6
  5. 7

Question 4

Timmy has a strip of paper with two holes as shown. After folding the strip in half, Timmy can see three letters. Which letters CANNOT be seen?

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

Question 5

Let A, B, C and D be the missing numbers in the magic square below. What is the largest number among them?

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  1. 35
  2. 20
  3. 33
  4. 26
  5. 34

Question 6

Jane buys eggs in boxes of 6 and boxes of 12. What is the smallest number of boxes she buys to have exactly 66 eggs?

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  1. 5
  2. 6
  3. 9
  4. 11
  5. 12

Question 7

Andy writes a three-digit number on each of three papers, then overlaps them as shown. Their total is 888. Find the two hidden digits.

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  1. 1 and 2
  2. 7 and 6
  3. 5 and 4
  4. 6 and 5
  5. 5 and 9

Question 8

The table shows the number of pumpkins harvested by five farmers in the fall season. Who harvested 180 pumpkins?

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  1. Danny
  2. Jacob
  3. Ray
  4. Edwin
  5. Alex

Question 9

David walks forward along the road from start to finish and writes down all the colors he sees on his left-hand side. Which color will NOT be written?

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  1. Green
  2. Blue
  3. Black
  4. Red
  5. Yellow

Question 10

Five cyclists start a race at the same time. Their finishing times are shown in the graph. How many minutes after the winner does the second cyclist finish?

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  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 11

There are 23 marbles in the five boxes shown. Each box contains at least two marbles, and all five counts are different. What is the greatest possible number of marbles in the red box?

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  1. 9
  2. 13
  3. 10
  4. 8
  5. 15

Question 12

Which figure can be folded from the net below?

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  1. Figure A
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  2. Figure B
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  3. Figure C
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  4. Figure D
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  5. None of the above

Question 13

Jennie stacks bricks to make a tower. A four-level tower needs 10 bricks and a five-level tower needs 15 bricks, as shown. How many bricks does a ten-level tower need?

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  1. 35
  2. 40
  3. 45
  4. 50
  5. 55

Question 14

Jane, Josh, Jack and Jill buy the nine different shirts listed in the table. Jane buys two shirts with the same price. Josh buys the three cheapest shirts. Jack pays 50 USD for all his shirts. Find the color and size of Jill’s shirt.

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  1. White – L
  2. Grey – M
  3. Black – S
  4. Black – M
  5. Grey – L

Question 15

Jack makes a domino snake of eight tiles. Touching ends have the same number of dots, from 0 to 6. Originally the snake had 50 dots, but some are missing. Can you find the total number of dots in the places of the question marks?

Editorial clarification: the printed choices are pairs, although the original wording says “total.” For this scored version, choose the unordered pair of numbers at the two question marks. Their sum and the possible orders are explained in the solution.

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  1. 4 and 5
  2. 4 and 3
  3. 5 and 6
  4. 4 and 6
  5. 3 and 6

Question 16

The password of a lock is a four-digit number. Anna tries three times and gets the results in the table. Find the correct password.

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