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FMO 2026 - Grade 6 - National - Paper 04

Question 1

Thomas writes 2022 on paper in the form shown and places it in front of a mirror. Which image will he see?

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Question 2

In the repeating sequence shown, how many squares occur among the first 2022 shapes from the left?

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  1. 808
  2. 405
  3. 404
  4. 809
  5. 810

Question 3

Miranda makes the arrangement shown from identical cubes. What is the least number of unit squares visible when it is viewed directly from the right?

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  1. 11
  2. 8
  3. 12
  4. 9
  5. 10

Question 4

Fold the coloured net into a cube. Which face colour is opposite green?

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  1. Purple
  2. Blue
  3. Red
  4. Orange
  5. Yellow

Question 5

The chart shows the heights of Webber, Matthew and Yang from 2016 to 2022. Starting in 2016, how many years pass before Webber first becomes the tallest?

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

Question 6

Cutting one piece of wood into 8 sections takes 56 minutes. Each cut takes the same time. How many minutes are needed to cut three pieces into 10 sections each, cutting only one piece at a time?
  1. 70
  2. 210
  3. 189
  4. 72
  5. 216

Question 7

Courtney puts 1 candy in row 1, 3 in row 2, 5 in row 3, and continues this pattern for 11 rows. How many candies are there altogether?

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  1. 121
  2. 100
  3. 110
  4. 111
  5. 101

Question 8

Find the result of the calculation flowchart.

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  1. $\frac{7}{4}$
  2. $\frac{11}{2}$
  3. $\frac{7}{11}$
  4. $\frac{11}{4}$
  5. $\frac{7}{2}$

Question 9

Joe’s age six years from now equals Tim’s age four years from now. Their present ages sum to 40. How old is Tim now?
  1. 31
  2. 29
  3. 21
  4. 25
  5. 19

Question 10

Use the rule shown to find the last operation’s result.

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  1. 36
  2. 60
  3. 15
  4. 108
  5. 18

Question 11

The chart is described in the source question as the trees planted by classes 6A, 6B and 6C in summer 2022. Arrange their average numbers in decreasing order.

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  1. 6C, 6B, 6A
  2. 6A, 6B, 6C
  3. 6B, 6A, 6C
  4. 6C, 6A, 6B
  5. 6C, 6B, 6A

Question 12

A farm has eight more chickens than rabbits. The animals have 100 legs altogether. How many rabbits are there?
  1. 50
  2. 22
  3. 14
  4. 30
  5. 6

Question 13

Broke orders one dish, one drink and one ice cream from the menu. How many orders are possible?

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Original choices: A)27; B)12; C)120; D)60; E)52. The printed source key is D)60.

Qualified response: the supplied source has a blank second dish cell. Explain the count supported by the visible menu and the additional assumption needed for the printed answer. This is imported as an essay because the missing dish cannot be verified.

Question 14

A shop offers two gift-basket types: one with 5 chocolate bars and 2 roses, the other with 3 chocolate bars and 4 roses. It sells 21 chocolate bars in baskets. How many roses were sold?

Editorial clarification for the imported MCQ, not explicitly stated in the source: at least one basket of each type was sold.
  1. 13
  2. 14
  3. 15
  4. 16
  5. 17

Question 15

Which fraction is the ratio of the blue area to the entire rectangle?

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  1. $\frac{1}{2}$
  2. $\frac{2}{5}$
  3. $\frac{1}{3}$
  4. $\frac{4}{9}$
  5. $\frac{3}{5}$

Question 16

Class 6A1 has 15 students in the Science club, 20 in the Sports club and 8 in both. Another 10 students join neither club. How many students are in the class?
  1. 43
  2. 37
  3. 53
  4. 35
  5. 45

Question 17

A 100-question test awards 3 points per correct answer and deducts 1 per incorrect answer. Andy answers every question and scores 196. Which interval contains his number of correct answers?
  1. 56 to 60
  2. 61 to 65
  3. 66 to 70
  4. 71 to 75
  5. 76 to 80

Question 18

Two square sheets have side lengths differing by 8 cm. When the smaller lies inside the larger, the uncovered area is 96 cm². Find the sum of their perimeters.

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  1. 48 cm
  2. 40 cm
  3. 54 cm
  4. 64 cm
  5. None of the above

Question 19

Greg starts a daily challenge with 20 push-ups and does 2 more than the previous day on each following day. He does 100 push-ups on the last day, which is Sunday. On which weekday did he start?
  1. Thursday
  2. Friday
  3. Sunday
  4. Monday
  5. Tuesday

Question 20

A three-digit number is called special if it is greater than 123 and its three digits are all different. How many special numbers are there?
  1. 481
  2. 640
  3. 638
  4. 617
  5. None of the above