FMO 2023 - Grade 3 - Preliminary - Paper 01

Find the next number in the sequence with the pattern below: 1, 20, 2, 18, 3, 16, 4, ?.

Each student in a class chooses one type of transportation that they use to go to school. The data is shown in the chart. Which type of transportation is the second most popular in the class?

Given the pattern below, which figure should replace the question mark?

How many squares are there in the picture of the house below?

Four operations are performed following the arrows. Find the number in the first cloud.

After cleaning each plate, Leo stacks the plates from bottom to top and then from right to left, obtaining the three piles shown. The first clean plate is green. What is the colour of the 15th clean plate?

Find the sum of the present ages of Oliver and Richard. Oliver says, “In 5 years, I will be 10 years old.” Richard says, “2 years ago, I was 5 years old.”

It was Miley’s birthday yesterday, and Hailey’s birthday will be 16 days from now. Miley remembers that her birthday was on Wednesday. On which day of the week will Hailey’s birthday fall?

The picture contains 11 identical wooden tiles. At least how many more tiles must be added to make a rectangular floor, without moving the existing tiles?

Use the pattern to find the result of the last operation. The square and star represent operations: 1 ■ 8 ★ 5 = 4; 2 ■ 4 ★ 1 = 5; 3 ■ 9 ★ 6 = 6; 4 ■ 7 ★ 2 = ?.

Every morning Eddy takes 30 minutes to get ready and 40 minutes to travel to school. He arrives at 8:15 a.m. At what time does he get up?

Henry’s grandpa builds a chair by stacking identical wooden pieces as shown. How many wooden pieces does the chair contain?

The two scales shown are balanced. Find the mass of the oil tank.

Flags bearing letters are hung from left to right in the pattern shown. If the first flag bears F, which letter is on the 28th flag?



Book printing (same repeating rule):

Bob, Ben and Bill are brothers. At first they have the same number of marbles. Bob gives Ben 17 marbles, then Ben gives Bill 25 marbles. Ben finishes with 32 marbles. How many marbles does Bob have left?

The table shows the money belonging to three friends. They combine their money to buy a doll house, after which they have \$24 in total. How much does the doll house cost?

A team plants trees at equal distances along a road, with a tree at both ends. A 20-metre road needs 5 trees. Keeping the same spacing, how many trees are needed for a 40-metre road?

Mr Thomas has two jars of water as shown. How many litres must he pour from jar B into jar A so that the jars contain equal amounts of water?

Olivia cuts the sticker shown into two separate pieces and colours them. Which pair of pieces CANNOT be hers?

The scales show comparisons between bags of rice. List the bags from heaviest to lightest.