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FMO 2021 - Grade 4 - International - Paper 10 - Sample

Question 1

Which clock should replace the question mark?

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Practice scoring for this entire 16-question paper: 1 point for each correct answer, 0 for a wrong or blank answer, maximum 16. These equal weights are editorial because the individual historical paper prints no numerical marks.
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Question 2

How many triangles are there in the figure?

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  1. 6
  2. 9
  3. 13
  4. 14
  5. 15

Question 3

The table gives the timetable of a circular bus travelling around the city. Lucy wants to travel from the Museum to the Cathedral. If she starts waiting beside the Museum at 12:15, how many minutes will she spend on the bus?

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Destination names are City, Museum, Beach and Cathedral; the columns Bus 1, Bus 2 and Bus 3 are the three listed services.
  1. 48
  2. 34
  3. 52
  4. 55
  5. 50

Question 4

Candace stacked identical boxes to build the shape shown. At least how many boxes did she use?

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  1. 23
  2. 20
  3. 21
  4. 22
  5. 19

Question 5

There are two types of egg boxes. Each box contains either 8 eggs or 12 eggs. Anna buys some boxes. Which answer cannot be the total number of eggs she buys?
  1. 16
  2. 20
  3. 28
  4. 26
  5. 24

Question 6

The chart shows the scores of 5 students using equally spaced horizontal lines. The greatest difference between any two students’ scores is 16. Find the sum of all 5 scores.

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Math Score means the mathematics score. The source solution labels phần mean equal parts.
  1. 80
  2. 90
  3. 64
  4. 48
  5. 100

Question 7

The shape is made from 14 cubes and is painted over its entire exposed surface, including the bottom. How many cubes have exactly 4 painted faces?

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  1. 6
  2. 7
  3. 8
  4. 9
  5. 10

Question 8

Find the missing number in the table.

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  1. 43
  2. 32
  3. 24
  4. 22
  5. 34

Question 9

Grandma has some candy jars. Each jar contains either 2 apple candies and 4 banana candies, or 3 apple candies and 3 banana candies. She has 17 banana candies in total. How many apple candies does she have?

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A marks apple candy; B marks banana candy.
  1. 14
  2. 13
  3. 15
  4. 12
  5. 11

Question 10

A teacher has a square sheet of paper. She folds it in half three times and cuts out two triangles as shown. What will the paper look like when it is unfolded?

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Question 11

A box contains 2 purple pens, 3 red pens, 4 blue pens and 5 black pens. Amy cannot look inside. What is the least number of pens she must take out to be certain of getting 3 pens of the same color?
  1. 7
  2. 3
  3. 9
  4. 12
  5. None of the above

Question 12

Which figure needs the least paint to be completely filled with color?

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

Question 13

Candace uses 3 squares and 1 rectangle to make the larger square shown. The perimeter of the smallest square is 12 cm. What is the perimeter of the shaded rectangle, in cm?

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  1. 18
  2. 24
  3. 36
  4. 40
  5. None of the above

Question 14

Find the number that should replace the question mark.

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  1. 24
  2. 26
  3. 12
  4. 18
  5. None of the above

Question 15

Following the pattern in the table, find the sum of all numbers in the 20th row.

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  1. 314
  2. 74
  3. 326
  4. 341
  5. None of the above

Question 16

There are 2021 people living on an island. Some always tell the truth, and the others always lie. Each day one person says, “After I have left the island, the number of truth-tellers will equal the number of liars.” That person then leaves. After 2021 days the island is empty. How many truth-tellers were there at the beginning?

Scoring note: the source calls this Star of hope. It has the same editorial practice value of 1 point here, with no deductions. No official historical bonus or penalty is claimed.