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FMO 2023 - Grade 4 - Preliminary - Paper 01

Question 1

Find the next number in the sequence with the pattern below: 11, 20, 12, 18, 13, 16, 14, ?
  1. 12
  2. 13
  3. 14
  4. 15
  5. 16

Question 2

According to the pattern below, find the figure at the question mark.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 3

Tom shoots 3 arrows at the target shown. Each miss earns 0 points. Which of the following CANNOT be his total score?

Question illustration
  1. 12
  2. 14
  3. 16
  4. 18
  5. 20

Question 4

How many triangles are there in the figure below?

Question illustration
  1. 16
  2. 20
  3. 24
  4. 26
  5. 28

Question 5

A store starts with some T-shirts. On day 1 it sells 37. On day 2 it sells half the remaining T-shirts. On day 3 it receives 60 T-shirts from the warehouse and then has 82. How many did it have at first?
  1. 321
  2. 34
  3. 247
  4. 48
  5. 81

Question 6

Jenny stacks identical cubes to make the figure below. At least how many squares can she see from the right?

Question illustration
  1. 9
  2. 8
  3. 6
  4. 5
  5. 7

Question 7

Today is Friday, 2 June. Peter has a mathematics exam on the same date exactly one month later. On which day of the week is the exam?
  1. Thursday
  2. Friday
  3. Saturday
  4. Sunday
  5. Monday

Question 8

The bar chart records the numbers of trees planted by five teams. Fermat planted the most and Newton the fewest. How many more trees did Fermat plant than Newton?

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

Question 9

Mandy writes all two-digit numbers whose digits are smaller than 4. At most how many numbers can she write?
  1. 12
  2. 9
  3. 8
  4. 10
  5. 15

Question 10

Refer to the pattern below. What is the result of the last operation?

Question illustration
  1. 26
  2. 17
  3. 41
  4. 47
  5. 51

Question 11

Bella is on an 80-day diet. She may eat 2 candies a day, but only on Sundays. What is the greatest number of candies she can eat during the whole diet?
  1. 25
  2. 26
  3. 22
  4. 24
  5. 23

Question 12

Henry surveys the favourite colours of his classmates but accidentally erases the numerical scale of the chart. If 6 students prefer green, how many prefer red?

Question illustration
  1. 10
  2. 7
  3. 8
  4. 9
  5. 13

Question 13

Find the length of the worm in the figure below.

Question illustration
  1. 9 cm
  2. 12 cm
  3. 18 cm
  4. 6 cm
  5. 8 cm

Question 14

Mrs Maria has a rectangular plot measuring 24 m × 60 m. She divides it into a square pond and a garden as shown. She plants one apple tree for every 8 square metres of garden. How many trees does she plant?

Question illustration
  1. 864
  2. 72
  3. 180
  4. 14
  5. 108

Question 15

Olivia cuts the sticker shown into two pieces and colours both sides. Which pair of pieces CANNOT result?

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  2. Question illustration
  3. Question illustration
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Question 16

Based on the pattern below, how many cubes are there in figure 100?

Question illustration
  1. 298
  2. 301
  3. 304
  4. 300
  5. 297

Question 17

At a concert, each person takes 2 minutes to check in. Jenny is 13th in line and Oliver is 54th. Jenny starts at 5:20 p.m. When can Oliver start?
  1. 7:42 p.m.
  2. 6:42 p.m.
  3. 6:44 p.m.
  4. 7:24 p.m.
  5. 7:44 p.m.

Question 18

Two identical square sheets overlap to form the rectangle shown. The overlap has perimeter 20 cm and width 2 cm. Find the perimeter of the whole rectangle in centimetres.

Question illustration
  1. 60
  2. 48
  3. 56
  4. 44
  5. 50

Question 19

Six friends A, B, C, D, E and F sit around the rectangular table shown. B and D sit on the same side, with B to the left of D. C is not on a long side. C and F face each other. A is the second person to the left of F. Who faces E?

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

Question 20

Find the value of the missing number.

Question illustration
  1. 15
  2. 21
  3. 18
  4. 24
  5. 12