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IKMC 2027 - Grades 3-4 - Self-study SET 15 - Thematic Batch 3

Question 1

On a very rainy day in London, Dr Watson takes an umbrella to visit Sherlock Holmes. From his position he can see the clock tower and the red bus, but he cannot see Holmes, who is following behind him carrying the green umbrella. What colour is Watson’s umbrella?

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  1. Yellow
  2. Red
  3. Black
  4. Purple
  5. Blue

Question 2

Four cubes are built from toothpicks and sweets as shown. How many sweets, represented by black dots, are used?

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  1. 16
  2. 18
  3. 20
  4. 21
  5. 22

Question 3

The dimensions of a road are shown below. A broken centre line is to separate the lanes. What is the length of that line, in metres?

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  1. 63
  2. 68
  3. 69
  4. 71
  5. 83

Question 4

At the 2012 London Olympics, the USA won 46 gold, 29 silver and 29 bronze medals, while China won 38 gold, 27 silver and 23 bronze medals, according to the figures given here. How many more medals did the USA win?

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  1. 6
  2. 14
  3. 16
  4. 24
  5. 26

Question 5

For this calculation, take the average human heartbeat rate to be 70 beats per minute. How many beats does that give in one hour?

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  1. 42000
  2. 7000
  3. 4200
  4. 700
  5. 420

Question 6

In which drawing are the grey and white areas unequal?
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Question 7

To defeat a dragon, Mathias must cut off all its heads. Every time he cuts off three heads, one new head immediately grows. He defeats the dragon after cutting off 13 heads in total. How many heads did it have initially?

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  1. 8
  2. 9
  3. 10
  4. 11
  5. 12

Question 8

Albert fills a 5-by-5 grid using the five symbols shown: rhinoceros, shark, frog, ghost and flower. Every row and every column contains all five symbols. Which symbol belongs in the question-mark cell?

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Question 9

Monica writes numbers in the boxes so that each number equals the product of the two numbers immediately beneath it. What number goes in the grey box?

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  1. 0
  2. 1
  3. 2
  4. 4
  5. 8

Question 10

The paper net shown is folded into a cube. Which faces are opposite faces 1, 2 and 3, respectively?

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  1. 5, 4 and 6
  2. 4, 5 and 6
  3. 6, 4 and 5
  4. 6, 5 and 4
  5. 4, 6 and 5

Question 11

The submarine starts when its number code is complete. The displayed numbers follow a pattern. What are the two missing numbers?

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  1. 21 and 28
  2. 20 and 25
  3. 18 and 22
  4. 25 and 30
  5. 30 and 36

Question 12

Andy, Betty, Cathie and Dannie were born in the same year, on 20 February, 12 April, 12 May and 25 May, in some order. Betty and Andy were born in the same month. Andy and Cathie share a day number but have different birth months. Who is oldest?

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  1. Andy
  2. Betty
  3. Cathie
  4. Dannie
  5. Cannot be determined

Question 13

Eight farmers place apple baskets around the square as shown. The four earlier baskets contain 13,14,15,16 apples. The later baskets contain 11,12,17,19 apples, one count in each empty position. Every straight side of three baskets has the same total. How many apples are in the basket marked “?”?

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  1. 11
  2. 12
  3. 17
  4. 19
  5. Cannot be determined

Question 14

Six friends are playing with the gear-and-pulley arrangement shown. When the black gear turns in the arrow direction, which friends go up?

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  1. 1, 2 and 3
  2. 1, 3 and 4
  3. 1, 4 and 5
  4. 1, 3 and 6
  5. 2, 3 and 5

Question 15

The square below is cut into six pieces. Which answer shape is not one of the pieces?

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Question 16

Peter writes a digit on the board and then another digit immediately to its right. Adding 19 to the resulting number gives 72. What was the first digit he wrote?

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  1. 2
  2. 5
  3. 6
  4. 7
  5. 9

Question 17

Twenty sweets are distributed among some kangaroos. Each receives at least one sweet, and no two receive the same number. What is the largest possible number of kangaroos?

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  1. 20
  2. 10
  3. 8
  4. 6
  5. 5

Question 18

Martina leaves home at 6:55 a.m. and reaches school at 7:32 a.m. Dasa reaches school at 7:45 a.m., and her journey takes 12 minutes less than Martina’s. At what time does Dasa leave home?

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  1. 7:07 a.m.
  2. 7:20 a.m.
  3. 7:25 a.m.
  4. 7:30 a.m.
  5. 7:33 a.m.

Question 19

Tom draws a shark, a cat and a rhinoceros on three small sheets, as shown. He makes special animals by joining a chosen head, body and tail from these drawings. How many different animals can he make?

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  1. 3
  2. 9
  3. 24
  4. 27
  5. 30

Question 20

Joe wants to buy basketballs. Buying five leaves him 10 coins; buying seven would require him to borrow another 22 coins. How many coins does one ball cost?

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  1. 11
  2. 16
  3. 22
  4. 26
  5. 32