FMO 2021 - Grade 3 - National - Paper 07

Question 1

Which figure should replace the question mark?

Question illustration

Figure A
Figure B
Figure C
Figure D
Figure E

Question 2

Mario travels from A to D, passing each of B and C at most once, and collects the coins along his route. Which number of coins CANNOT be obtained?

Question illustration

Question 3

How many triangles are there in the cat picture?

Question illustration

Question 4

Which clock should replace the question mark?

Question illustration

Figure A
Figure B
Figure C
Figure D
Figure E

Question 5

Three rugs are arranged in different orders as shown. In which case do we know for certain that the circular rug was put on the ground first?

Figure A
Figure B
Figure C
Figure D
Figure E

Question 6

Nancy folds a square sheet in half as shown, then cuts along the red lines. What is the shape of the paper after cutting and unfolding?

Question illustration

Figure A
Figure B
Figure C
Figure D
Figure E

A four-digit number must have first digit + last digit equal to the sum of the other two digits. For example, 1234 works because 1 + 4 = 2 + 3. Some digits in the five students’ answers are hidden by asterisks. Whose number CANNOT satisfy this rule?

Question illustration

Andy
Bella
Chelsea
Drake
Emily

Question 8

Timmy joins two triangular pieces and one square piece to make the shown shape. What is its area?

Question illustration

189 cm²
135 cm²
108 cm²
54 cm²
225 cm²

Question 9

Long folds 130 paper cranes in five days, making 3 more each day than the previous day. How many does he make on day 5?

Question illustration

Question 10

Following the pattern, how many squares are shaded in figure 12?

Question illustration

Question 11

Fred’s chart shows the favorite colors of the 30 students in class 3A. The gridlines are equally spaced, but the student numbers are missing. Each student chooses one color. How many choose red?

Question illustration

Question 12

Ben walks to school only on shaded paths, meaning paths next to a tree. Each small street segment is 15 m. What is the shortest distance he must travel?

Question illustration

195 m
210 m
240 m
255 m
None of the above

Question 13

To stick one sheet of paper on the whiteboard, Anna must use four magnets to fix its four corners. To stick two sheets on the whiteboard, she needs only six magnets, as shown. To stick 32 sheets on the board, at least how many magnets does she need?

Clarification for the source-intended scored version: the sheets are placed edge to edge, in the same orientation, without overlap, in a complete rectangular grid. One magnet can hold all sheet corners meeting at a grid point. This clarification is additional to the printed wording; unrestricted stacking is discussed in the solution.

Question illustration

Question 14

Seven books of different colors are stacked: green, red, purple, yellow, blue, white and black.

- Green is next to black.
- Black is the fourth book below purple.
- Purple is the third book above red.
- Yellow is between red and white.
- Purple is at either end of the stack.

Amy chooses the second book from the top. What color is it?

Question illustration

Blue
Green
Yellow
Red
White

Question 15

Jason builds the shown wall using two kinds of Lego pieces. After removing some pieces, its direct left and right views are as shown. How many pieces did he remove altogether?

Question illustration

Question 16

Fill each of the eight circles with 1, 2 or 3. Circles joined by a line must contain different numbers. What is the smallest possible sum of all eight numbers?

Question illustration