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IKMC 2027 - Grades 3-4 - Self-study SET 8 - Thematic Batch 3

Question 1

John has written 6, 7 and 8 in three circles, as shown. He then writes 1, 2, 3, 4 and 5 in the remaining circles so that the sum along each side is 13. What is the sum of the numbers in the grey circles?

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  1. 12
  2. 13
  3. 14
  4. 15
  5. 16

Question 2

The numbers 1, 2, 3, 4, 5 and 6 are placed in the circles so that each side has the same sum. Some circles are filled. Which number belongs in the circle marked x?

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  1. 4
  2. 5
  3. 6
  4. 3
  5. All the answers above are correct

Question 3

The picture shows half of Butt the butterfly. Butt is symmetric about the dashed line. Which picture shows the other half?

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Question 4

The picture was taken at a chess competition’s award ceremony. The higher an athlete’s podium, the better the athlete’s result. Who finished third?

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  1. A
  2. B
  3. C
  4. D
  5. E

Question 5

Worker bees are building a honeycomb from hexagonal cells, as shown. On day 1 they build 1 cell; on day 2 they add 6 cells. If they continue in the same way, how many cells does the honeycomb have on day 4?

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  1. 37
  2. 49
  3. 57
  4. 61
  5. 64

Question 6

What does the product 60 × 60 × 24 × 7 represent?

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  1. Minutes in 7 weeks
  2. Hours in 60 days
  3. Seconds in 7 hours
  4. Seconds in 1 week
  5. Minutes in 24 weeks

Question 7

A rectangular solid is made from four pieces, as shown. Each piece contains exactly four small cubes. What is the shape of the white piece?

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Question 8

What is 2001 + 2002 + 2003 + 2004 + 2005?

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  1. 1015
  2. 5010
  3. 10150
  4. 11005
  5. 10015

Question 9

Find the appropriate continuation of the pattern.

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Question 10

Mike and Jake each throw three darts and obtain the results shown. Who scores more, and by how many points?

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  1. Mike, by 3 points
  2. Jake, by 4 points
  3. Mike, by 2 points
  4. Jake, by 2 points
  5. Mike, by 4 points

Question 11

How many triangles are in the figure?

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  1. 9
  2. 10
  3. 11
  4. 13
  5. 12

Question 12

Look at the figure. Which statement describes it correctly?

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  1. There are as many circles as squares
  2. There are fewer circles than squares
  3. There are twice as many circles as triangles
  4. There are more squares than triangles
  5. There are two more triangles than circles

Question 13

Hạnh’s mother promises two hair clips for each mark of 10 and one for each mark of 9. This month Hạnh earns three 10s and two 9s. She also wants headbands, so she asks to exchange two clips for one headband. What is the greatest number of headbands she can receive this month?

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

Question 14

Peter flies from Lisbon to New York. He leaves Lisbon at 12:30 local time and arrives in New York at 15:40 local time. When it is 6:00 in New York, it is 11:00 in Lisbon. How long is the flight?

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  1. 11 hours 50 minutes
  2. 3 hours 10 minutes
  3. 5 hours
  4. 7 hours 10 minutes
  5. 8 hours 10 minutes

Question 15

Edith has six shapes arranged as shown. She colours each shape yellow, white, purple, green, pink or red, so that:
– Yellow is between white and purple;
– Green is not used for a rectangle;
– Yellow is to the right of pink.
What colour is the rectangle marked “?”?

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  1. Red
  2. Yellow
  3. White
  4. Purple
  5. Pink

Question 16

Pinocchio’s unusual nose becomes 2 cm shorter whenever he tells the truth and 6 cm longer whenever he lies. At first it is 9 cm long. He tells three lies and two truths. How long is his nose then?

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  1. 14
  2. 15
  3. 19
  4. 23
  5. 31

Question 17

A rectangular mirror has broken and one piece is missing. Which is the missing piece?

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Question 18

All the pencils have the same mass. How many grams does the ink pen weigh?

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  1. 7g
  2. 8g
  3. 9g
  4. 10g
  5. 11g

Question 19

A rectangular wall is being decorated with grey and striped tiles as shown. How many more grey tiles are needed to finish it?

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

Question 20

Anthony makes a garden path using nine 4 × 6 dm bricks, as shown. What is the length of the black line?

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  1. 24 dm
  2. 43 dm
  3. 46 dm
  4. 50 dm
  5. 56 dm