Skip to content / Đến nội dung
ThichHocToan.com

FMO 2026 - Grade 7 - National - Paper 08

Question 1

A store packs all its pens into boxes of 9, with none left over. Which number CANNOT be the number of pens?
  1. 2097
  2. 1998
  3. 3726
  4. 2996
  5. 945

Question 2

A letter is called symmetrical if it can be cut into two identical parts, as illustrated. In FERMAT, how many letters are symmetrical?

Question illustration



Editorial convention: symmetry means reflection across a straight line, using ideal upright block capitals with symmetric strokes.
  1. 1
  2. 3
  3. 4
  4. 5
  5. 6

Question 3

Ashley writes the ten numbers shown on a board and asks Tracy to find all the primes. At most how many can Tracy find?

Question illustration
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 4

Lucy spills ink over one number in the equation shown. What is the hidden number?

Question illustration
  1. 1
  2. 15
  3. 10
  4. 8
  5. 13

Question 5

Justin has the rectangular sheet shown. He folds it once so that the two red points coincide. Which outline does the folded sheet have?

Question illustration



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

Question 6

Workers paint a house over two days. They work for one third of a day on the first day and half of a day on the second. How many hours do they work altogether?
  1. 20
  2. 4
  3. 18
  4. 16
  5. None of the above

Question 7

Five coloured cells contain the expressions shown. Which cell has the smallest value?

Question illustration



Notation: the comma in 2,52 is a decimal separator; −2½ is a negative mixed number.
  1. Blue
  2. Yellow
  3. Red
  4. Green
  5. White

Question 8

Uncle Lam originally has a square garden. After selling two pieces, the remaining garden has the outline shown. Find its current area in square metres.

Question illustration
  1. 900
  2. 675
  3. 750
  4. 650
  5. 775

Question 9

Mr Smith wants to travel from Santa Barbara to Moonpark. Using the train schedule shown, how many minutes should his journey take?

Question illustration



Editorial clarification: the source statement says “Moonpark”; this is taken to mean the station labelled “Moorpark” in its own timetable.
  1. 105 min
  2. 76 min
  3. 85 min
  4. 95 min
  5. 75 min

Question 10

Cindy has a 3 × 3 × 3 Rubik’s cube. She drops it and it breaks into two pieces. One piece is shown. At least how many small cubes are in the other piece?

Question illustration
  1. 11
  2. 16
  3. 9
  4. 18
  5. 17

Question 11

All students in a class report their birth months, giving the bar graph shown. What percentage of the class was born in March?

Question illustration
  1. 10%
  2. 8%
  3. 4%
  4. 5%
  5. None of the above

Question 12

A rope of length 2 m is glued onto a cubic box, with both ends meeting at the red point. The three visible faces and visible rope segments are shown. What is the maximum total surface area of the cube?

Question illustration



Grading convention: use the illustrated straight, edge-parallel segments; the red point and the rope endpoint on the back-right edge are at mid-height. The remaining rope lies on the unseen faces.
  1. 9600 cm²
  2. 3750 cm²
  3. 5400 cm²
  4. 2400 cm²
  5. None of the above

Question 13

Mulan fills consecutive integers clockwise in square spiral groups as shown. Find the sum of all numbers in the first column of group 25.

Question illustration
  1. 2028
  2. 325
  3. 2113
  4. 2021
  5. None of the above

Question 14

The graph shows Marie’s distance from home during one hour. She goes to a bookstore, then a supermarket, then home. Excluding all resting time, what is her average speed?

Question illustration



Editorial convention: all travel follows the same route, so the changes in distance from home give segment lengths.
  1. 16 miles per hour
  2. 12 miles per hour
  3. 18 miles per hour
  4. 15 miles per hour
  5. None of the above

Question 15

Nine children sit around a circle in order, numbered 1 to 9. Child 1 has one ball and child 2 has two balls. Any six consecutive children have 14 balls altogether. How many balls does child 3 have?

Question illustration
  1. 3
  2. 4
  3. 5
  4. 6
  5. None of the above

Question 16

A special water fern doubles in area every four days. Scientists begin with 3 cm² on 27 April 2020. On 31 December 2020 they divide all the fern into 10 cm² samples and have a cm² left over. Find a.