FMO 2021 - Grade 4 - National - Paper 09 - Sample

Which figure belongs in the cell with the question mark?



Practice scoring for this entire 16-question paper: 1 point for each correct answer, 0 for a wrong or blank answer, maximum 16. These equal weights are editorial because the individual historical paper prints no numerical marks.

Mr Thomas adds one more weight on the right so the two sides have equal total mass. What mass must he add?

Riley uses two squares and seven triangles to make the rabbit shown. How many quadrilaterals are in the figure?

A teacher places five coloured paper strips on a table, one after another, producing the overlap shown. Which strip was placed second?

A school is open from 8:00 to 18:00 Monday through Friday, from 8:30 to 13:30 on Saturday, and closed on Sunday. How many hours is it open in one week?

Mark folds the square sheet in half and cuts a notch at the centre as shown. What does the sheet look like when opened and turned to the orientation of the answer choices?

The pictogram records votes for a musical talent contest. What is the difference between the highest and lowest numbers of votes?



The legend word votes means the number of votes received. Contestant names remain Anna, Brian, Chris, Lucy and Alice.

During June, Julia either runs 3 laps or cycles 5 laps around the lake each day. She runs 30 laps in total. On how many days does she cycle?

Follow the number pattern shown and find the sum of the digits of A.

Freddy starts at the top-right corner S of the grid. He walks along its lines to collect letters in order F M O M A T H. Each small grid edge is 1 m. What is the least distance he needs to walk?



S marks Freddy’s original starting corner. The letters retain their original grid positions.

A horse, cow, rabbit, sheep, pig and goat sit around the rectangular table, facing it. The horse sits alone on one side. The pig and sheep sit on the same side. The goat faces the horse. The rabbit is immediately to the goat’s left. The sheep faces the rabbit. Who is immediately to the horse’s right?

The land is divided into square cells, each of side 8 m. A rectangular pond is to be built without cutting down any tree. What is its largest area?

Clarification for this package: the pond is a rectangle of whole grid cells, following the supplied solution. This convention is implicit in the printed wording.

Following the pattern shown, how many white triangles are in Group 20?



Group 1, Group 2 and Group 3 label the first three groups.

A secret agent seeks a six-digit code. The sum of the digits in even positions equals the sum in odd positions. Each asterisk hides a digit, and different asterisks may hide different digits. Which pattern cannot be the code?

Every pupil in a class has one or two pets. The chart records all their pets. Two pupils each have a dog and a fish; three pupils each have a cat and a dog. What is the least possible number of pupils?



Number of pets is the chart title; Dog, Cat, Fish name the three pet types.

Archaeologists find five symbols representing five different numbers whose sum is 15. The three equations are shown below. What number does the spade represent?

Interpretation for grading: the supplied solution uses nonnegative whole numbers. That number-domain condition is implicit in the original wording and is stated explicitly here; the unrestricted reading is discussed in the reference note.



Scoring note: the source calls this Star of hope. It has the same editorial practice value of 1 point here, with no deductions. No official historical bonus or penalty is claimed.