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IKMC 2027 - Grades 3-4 - Self-study SET 6 - Thematic Batch 3

Question 1

Find the number that belongs in the cloud with a question mark.

Question illustration
  1. 1
  2. 3
  3. 5
  4. 7
  5. 9

Question 2

An elevator can carry at most 150 kg on each trip. Four friends weigh 60 kg, 80 kg, 80 kg and 80 kg. How many elevator rides are needed to take all of them upstairs, if none wants to use the stairs?

Question illustration
  1. 1
  2. 2
  3. 3
  4. 4
  5. 7

Question 3

Ten bags contain different whole numbers of sweets from 1 to 10. Five children each take two bags. Alex gets 5 sweets, Bob 7, Charles 9 and Dennis 15. How many sweets does Eric get?

Question illustration
  1. 9
  2. 11
  3. 13
  4. 17
  5. 19

Question 4

A full milk container weighs 25 kg, while the same container half full weighs 13 kg. How much does the empty container weigh?

Question illustration
  1. 2 kg
  2. 500 g
  3. 1 kg
  4. 1500 g
  5. 2500 g

Question 5

Ruby was born 52 days before her classmate Izzy. This year Ruby celebrates her birthday on Tuesday. On which day of the week will Izzy celebrate her birthday?

Question illustration
  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Friday

Question 6

Susan and her older sister Maggie walk to school every day, but they follow the two different routes shown.
Whose route is longer?

Question illustration
  1. Susan’s route
  2. Maggie’s route
  3. It depends on the day
  4. Both routes have the same length
  5. It cannot be determined

Question 7

In the neighbouring orange orchard, another swarm of bees is building a triangular nest. On the first day, they build 1 cell. On the second day, they add 9 cells. If the pattern continues, how many hexagonal cells will they have built on the fourth day?

Question illustration
  1. 40
  2. 45
  3. 50
  4. 55
  5. 60

Question 8

Five ladybirds are shown below.
Two ladybirds are friends if their total numbers of spots differ by exactly 1. On Kangaroo Day, each ladybird sends one message to every friend. How many messages are sent?

Question illustration
  1. 2
  2. 4
  3. 6
  4. 8
  5. 9

Question 9

The solid below is made from 8 small cubes.
Which shape is seen when looking straight down from above?

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

Question 10

A square is divided into four smaller squares. Each small square is coloured grey or black, as in the examples below.
How many colourings are possible?

Question illustration
  1. 13
  2. 14
  3. 15
  4. 16
  5. 17

Question 11

Thirteen children are playing hide-and-seek. One child looks for all the others. After finding 9 children, how many more must that child find?

Question illustration
  1. 3
  2. 4
  3. 5
  4. 9
  5. 22

Question 12

In March, Mr Harry buys Marco the horse for 100 dollars. In May he sells him for 200 dollars. In July he misses Marco and buys him back for 400 dollars. In September a circus buys Marco for 700 dollars. How many dollars has Mr Harry gained or lost?

Question illustration
  1. He gains 200 dollars
  2. He gains 400 dollars
  3. He loses 100 dollars
  4. He loses 200 dollars
  5. He neither gains nor loses money

Question 13

The picture shows a group of frogs and an island with a coconut tree.
How many frogs are on the island?

Question illustration
  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 14

Remy the mouse is looking for food. He stands between a piece of cheese and an apple, which are 64 cm apart. His distance to the apple is 3/5 of his distance to the cheese. Which food is nearer, and how far away is it?

Question illustration
  1. The apple is nearer, at 24 cm
  2. The cheese is nearer, at 40 cm
  3. The apple is nearer, at 14 cm
  4. The cheese is nearer, at 50 cm
  5. The apple is nearer, at 16 cm

Question 15

In K × (A + N + G + A + R + O + O), different letters stand for different nonzero digits, and repeated letters stand for the same digit. Find the smallest possible value.

Question illustration
  1. 26
  2. 25
  3. 24
  4. 23
  5. 21

Question 16

An artist has 14 cubes, each with an edge length of 1 metre. She arranges them on the floor as shown, then paints the surface she can see. How many square metres does she paint?

Question illustration
  1. 21
  2. 24
  3. 33
  4. 37
  5. 42

Question 17

A row in a garden has 20 flowers, coloured orange, yellow, red, orange, yellow, red, … . Each flower carries a ladybird, bee, fly or butterfly. If the first eight flowers look as shown, how many bees are on orange flowers?

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

Question 18

Which three pieces below can be joined to form a square?

Question illustration
  1. V, X and Y
  2. V, U and Y
  3. V, Z and Y
  4. X, Z and Y
  5. U, X and Y

Question 19

A storm has made a large hole in the roof.
How many roof tiles remain?

Question illustration
  1. 57
  2. 59
  3. 61
  4. 67
  5. 70

Question 20

I keep some dogs. Their number of legs is 18 more than their number of noses. How many dogs do I have?

Question illustration
  1. 4
  2. 5
  3. 6
  4. 8
  5. 9