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IKMC 2027 - Grades 3-4 - Self-study SET 5 - Thematic Batch 3

Question 1

Five clocks show different times. One is 15 minutes fast, one is 10 minutes fast, one is 5 minutes slow and one is 10 minutes slow. Only one shows the correct time. Which clock is correct?

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  1. Blue clock
  2. Red clock
  3. Purple clock
  4. Orange clock
  5. Green clock

Question 2

What is the value of 200 × 9 + 200 + 9?

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  1. 418
  2. 1909
  3. 2009
  4. 4018
  5. 20009

Question 3

Anna uses 5 cubes to build the solid shown.
By moving one cube from this solid to a new position, which of the following solids can she NOT make?

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Question 4

Find the length of the ant shown below.

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  1. 1 mm
  2. 1 cm
  3. 2 cm
  4. 3 cm
  5. 4 cm

Question 5

When Koko the bear is awake, he can eat up to 50 grams of leaves per hour. Yesterday he slept for 20 hours. How many grams of leaves did he eat?

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Original source options (retained):
(A) 0; (B) 50; (C) 100; (D) 200; (E) 400

Editorial format note: explain what the information determines, including any maximum and any missing information. The original choices are retained for comparison.

Question 6

Figure 1 changes into Figure 2 according to a rule. Under the same rule, what does Figure 3 change into?

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Question 7

There are 8 kangaroos in the grid. What is the smallest number of kangaroos that must be moved so that every row and every column contains exactly 2?

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

Question 8

The figure below can be divided into three identical copies of which shape?

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Question 9

Peter was born when Ann turned 3. How old is Peter when Ann is twice his age?

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  1. 1
  2. 2
  3. 3
  4. 4
  5. 10

Question 10

Which number in the diagram lies inside exactly 4 circles?

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

Question 11

In an online game, each player starts with 10 points and answers 10 questions. A correct answer adds 1 point and a wrong answer subtracts 1 point. Mr Smith finishes with 14 points. How many answers did he get wrong?

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

Question 12

On the road, Tít sees the traffic signs shown below.
Which sign has the most lines of symmetry?

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  1. No parking
  2. No entry
  3. Give way to oncoming motor vehicles on a narrow road
  4. No stopping or parking
  5. Mandatory direction

Question 13

Which circle below has exactly one quarter shaded black?
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Question 14

Anna has 9 pieces of paper. She chooses some pieces and tears each into 3 smaller pieces. She ends with 15 pieces altogether. How many pieces did she tear?

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  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 15

Three fleas sit on a number line. Alice is at 24 and Betty is at 66. Cynthia is exactly halfway between Alice and Betty. At which number is Cynthia?

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  1. 33
  2. 35
  3. 42
  4. 45
  5. 48

Question 16

In a quiz, a correct answer to the first question earns one sweet. Starting with question 2, each correct answer triples the sweets currently held; a wrong answer loses as many sweets as the question number. Nam stops after answering question 6. He answered question 4 incorrectly. He then exchanges all his sweets for oranges at a rate of 5 sweets per orange. How many oranges does Nam finally have?

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  1. 6
  2. 7
  3. 8
  4. 9
  5. 10

Question 17

The boy weighs 41 kg. He holds weights of 5 kg and 3 kg and stands on two scales, as shown.
The first scale reads 23 kg. What does the second scale read?

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  1. 18
  2. 20
  3. 26
  4. 28
  5. 34

Question 18

The number 2018 and the digits from 0 to 9 are written in the “8-segment” style shown below. Using the same total number of segments as in 2018, make the largest possible new number. What is its leftmost digit?

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  1. 1
  2. 5
  3. 7
  4. 8
  5. 9

Question 19

A book has pages numbered consecutively 1, 2, 3, 4, 5, … . The digit 5 occurs exactly 16 times in the page numbers. What is the greatest possible number of pages?

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  1. 49
  2. 64
  3. 66
  4. 74
  5. 80

Question 20

A 40-minute lesson begins at 11:50. Exactly halfway through, a bird suddenly flies into the classroom. What time is it?

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  1. 11:30
  2. 12:00
  3. 12:10
  4. 12:20
  5. 12:30