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FMO 2023 - Grade 5 - National - Paper 02

Question 1

According to the pattern below, find the figure that replaces the question mark.

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Question 2

The bar chart shows the numbers of students from classes A and B participating in school clubs. Which clubs have the same total number of students?

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  1. Maths, English
  2. Maths, Science, History
  3. English, History
  4. English, Science, Geography
  5. Science, Maths

Question 3

How many two-digit even numbers have digits whose difference is 3?
  1. 10
  2. 5
  3. 7
  4. 6
  5. 11

Question 4

Which figure should replace the question mark?

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Question 5

Thomas stopped by a road to wait for a friend. He first saw the light turn red at 12:50. It turned red again every 100 seconds. If he left just after 13:20, how many red lights did he see?
  1. 17
  2. 18
  3. 19
  4. 20
  5. 21

Question 6

From the pattern below, how many silver medals are there among the first 2023 medals?

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  1. 810
  2. 407
  3. 808
  4. 406
  5. 811

Question 7

Tom and Jerry stack equal-sized Lego blocks into the two shapes shown. At least how many blocks must Tom add to obtain Jerry’s shape?

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  1. 12
  2. 16
  3. 15
  4. 13
  5. 14

Question 8

Eighteen people were expected to repair a road in 8 days. Six more people join the work. How many days will the repair take, assuming everyone has the same productivity?
  1. 5
  2. 4
  3. 7
  4. 3
  5. 6

Question 9

Thomas draws and colors a pinwheel on square-grid paper as shown. Each small square has side length 2 cm. Find the shaded area.

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  1. 180 cm²
  2. 186 cm²
  3. 190 cm²
  4. 192 cm²
  5. 240 cm²

Question 10

Amelia was born 1 year and 1 day before her brother. Her brother was born on Thursday, July 21, 2022. On which day of the week was Amelia born?
  1. Tuesday
  2. Wednesday
  3. Friday
  4. Sunday
  5. Saturday

Question 11

Fermat school has 5 grades, with an average of 300 students per grade. Camellia drew the bar graph below, but the numerical scale was erased. Find the number of grade 2 students.

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  1. 420
  2. 240
  3. 280
  4. 300
  5. 200

Question 12

A library has 96 Literature and Science books in total. A librarian mistakenly put 5 Literature books on the Science shelf, after which that shelf held three times as many books as the Literature shelf. How many Science books are there?
  1. 62
  2. 77
  3. 72
  4. 67
  5. 82

Question 13

Louis needs 6 g of paint to cover the whole surface of one small cube. How much paint is needed to cover all the surfaces of the letter S shown?

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  1. 23 g
  2. 38 g
  3. 46 g
  4. 138 g
  5. 276 g

Question 14

In the morning a petrol station sold half its original petrol and 500 litres more. In the afternoon it sold two thirds of the remaining petrol and 400 litres more. Finally 800 litres remained. How many litres were there originally?
  1. 1400
  2. 8200
  3. 2900
  4. 4600
  5. 6100

Question 15

Josh made a rectangle from two square sheets of side 10 cm. John then placed the green sheet over part of the yellow sheet to make a new rectangle, decreasing the area by 30 cm². Find the perimeter of John’s rectangle.

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  1. 46 cm
  2. 30 cm
  3. 54 cm
  4. 66 cm
  5. 50 cm

Question 16

Emily has 18 pink, 21 yellow, 27 orange and 25 purple gummy bears. She draws candies without looking. At least how many must she draw to guarantee 3 yellow candies and 9 purple candies?
  1. 73
  2. 52
  3. 12
  4. 75
  5. None of the above

Question 17

Find the value of the missing number.

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  1. 12
  2. 24
  3. 30
  4. 32
  5. 36

Question 18

James folds a square sheet twice and cuts off its four corners and two triangles as shown. He then opens the sheet. What does it look like?

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Question 19

Andy builds towers of cards as shown. How many cards does he need for a tower with 15 floors?

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  1. 225
  2. 360
  3. 364
  4. 270
  5. 345

Question 20

In a magic square, every row, column and diagonal has the same sum. Find the number in the cell marked with a question mark in the 3 by 3 magic square below.

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  1. 13
  2. 14
  3. 15
  4. 16
  5. 18