FMO 2021 - Grade 3 - International - Paper 08

Question 1

Which picture should replace the question mark?

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

Question 2

Six people compete in a race. Their times are shown by the bar graph. Andy wins and takes 48 seconds. Ben finishes second overall. How many seconds does Ben take?

1. 24
2. 32
3. 96
4. 72
5. 144

Question 3

How many triangles are there in the figure?

1. 17
2. 18
3. 19
4. 20
5. 21

Question 4

Robin writes one number on each of five pieces of paper. Four of the five numbers can form the shown correct addition, with three addends and one total. Which number is NOT used?

1. 243
2. 52
3. 23
4. 152
5. 68

Question 5

Mr. Richard stacks identical boxes to form the pictured structure. At least how many boxes does he use?

1. 49
2. 50
3. 51
4. 52
5. 53

Question 6

Ted’s school has 6 clubs, with an average of 10 students per club. Ted accidentally erases the art-club bar from his graph. How many students are in the art club?

1. 12
2. 18
3. 60
4. 14
5. 6

Question 7

Rachel stacks identical small cubes into the larger cube shown, then paints all six faces of the large cube green. How many small cubes receive green paint?

1. 48
2. 37
3. 64
4. 96
5. 56

Question 8

Fill in the question mark using the pattern shown.

1. 12588
2. 58812
3. 15288
4. 58182
5. 12858

Question 9

Christopher played darts three times. The first time he scored 17 points and the second time 30 points. Find his total after his three shots, as shown.

Source interpretation: the three pictures show three rounds, each containing two dart hits. Here the printed phrase “three shots” refers to those three illustrated rounds.

1. 4
2. 34
3. 55
4. 52
5. 51

Question 10

A teacher folds a square sheet in half three times, then cuts out three triangles as shown. What does the paper look like after cutting and unfolding?

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

Question 11

A farmer builds the five pictured houses for a bird, chicken, fish, cow and bee. Two houses have equal area. Which two animals have those houses?

1. Fish and bee
2. Cow and fish
3. Chicken and fish
4. Cow and bird
5. Chicken and bee

Question 12

1. 61
2. 77
3. 63
4. 51
5. None of the above

Question 13

Identical small cubes form the pattern shown. Lily wants to paint group 4 green. Each small cube has side length 1 cm. Find the area of the painted part.

Source interpretation: paint every exterior face of the assembled group, including its underside; faces where two cubes touch are not painted.

1. 39 cm²
2. 54 cm²
3. 60 cm²
4. 72 cm²
5. 78 cm²

Question 14

Alice wants to balance the third scale. Which option will help her?

Clarification for the scored interpretation: choose the combination guaranteed to balance by the two given scales, without assuming any extra equality between fruit weights.

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

Question 15

Anna builds the matchstick sequence shown. If a figure contains 100 triangles, how many matches does she need?

1. 351
2. 350
3. 700
4. 701
5. None of the above

Question 16

In the multiplication table, each orange cell equals the product of the two blue header cells in its row and column. All blue numbers are missing, and only some products are given. Every number in the table is a natural number. Find A + B + C + D + E.