Skip to content / Đến nội dung
ThichHocToan.com

FMO 2026 - Grade 7 - National - Paper 07

Question 1

A garden has apple trees and orange trees. The number of apple trees is 5 times the number of orange trees. Which answer CANNOT be the total number of trees?
  1. 30
  2. 36
  3. 40
  4. 60
  5. 90

Question 2

Dave folds a square piece of paper in half twice and punches a hole as shown. Which shape appears after unfolding?

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

Question 3

Six cards are numbered 0 to 5. Anna, Bella and Cindy each choose two cards to make a two-digit number, with no card shared. Anna’s number is a square; Bella’s is divisible by 6; Cindy’s is prime. Find Cindy’s number.

Question illustration
  1. 23
  2. 13
  3. 31
  4. 41
  5. 43

Question 4

Fill a suitable number in the circle containing the question mark.

Question illustration
  1. 1
  2. 2
  3. −1
  4. −2
  5. 0

Question 5

Justin combines the two rigid pieces shown. Which shape can he NOT create?

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

Question 6

At a bookstore Lily spends half her money on mathematics books, then two thirds of the remaining money on literature books. What remains exactly buys an English book costing 18 dollars. How much did she have initially?
  1. 54 dollars
  2. 36 dollars
  3. 72 dollars
  4. 90 dollars
  5. 108 dollars

Question 7

The graph shows each player’s goal count in a tournament. What percentage of the total goals did Alex score?

Question illustration
  1. 12%
  2. 16%
  3. 18%
  4. 24%
  5. 28%

Question 8

Ashley starts with a square sheet of side 7 dm. She cuts away two identical triangles and a square to make the letter C shown. Find the area of the letter.

Question illustration
  1. 2233 cm²
  2. 3544 cm²
  3. 3742 cm²
  4. 2194 cm²
  5. 1996 cm²

Question 9

An ant enters the number maze. It can move only from a smaller-valued cell to an adjacent greater-valued cell through a marked opening. Through which gate does it leave?

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

Question 10

Lucy arranges 35 black and white cubes into the first figure, with the top view shown in the second. Vertically adjacent cubes must have different colours. How many cubes are black?

Question illustration
  1. 13
  2. 14
  3. 16
  4. 17
  5. 18

Question 11

In summer Alice takes a bus from home to a daily mathematics lesson, then back home. The lesson runs from 08:30 to 10:30. Using the timetable, find her total time on the bus in one week.

Question illustration
  1. 364 min
  2. 365 min
  3. 357 min
  4. 366 min
  5. 371 min

Question 12

Cubes with side lengths 1 m, 5 dm and 20 cm are stacked as shown. All exposed surfaces except the bottom are painted. Find the painted area.

Question illustration
  1. 616 dm²
  2. 625 dm²
  3. 716 dm²
  4. 516 dm²
  5. 525 cm²

Question 13

The balanced mobile contains four Moon boxes, two Earth boxes and a 60 kg weight. Find the weight of one Earth box.

Question illustration



Editorial convention: each horizontal bar is supported at its midpoint, has negligible weight, and equal symbols have equal weights.
  1. 12 kg
  2. 18 kg
  3. 24 kg
  4. 36 kg
  5. None of the above

Question 14

Continue the square-grid construction shown. How many white small squares are in figure 10?

Question illustration
  1. 341
  2. 431
  3. 541
  4. 243
  5. None of the above

Question 15

The graph shows Clover’s distance from home. She visits a grocery store, then the park, returns to her grandparents’ house because of rain, cycles to a bookstore, and cycles home. Her average speed over the entire recorded time is 8 km/h. How long does she stay at her grandparents’ house?

Question illustration



Editorial convention: all travel follows one route, so a change in the plotted distance gives the distance travelled on that segment. The equal horizontal grid intervals represent equal times.
  1. 9 min
  2. 10 min
  3. 18 min
  4. 20 min
  5. None of the above

Question 16

Seven dwarfs sit clockwise in the order Doc, Grumpy, Happy, Sneezy, Bashful, Sleepy, Dopey. Starting at a dwarf selected by Doc, they say consecutive integers from 1 clockwise. A dwarf saying a multiple of 6 leaves; counting continues with the next number at the next remaining dwarf. The last dwarf wins. Whom should Doc choose to start so that Doc wins?