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TIMO 2021 Grade 5 Preliminary Set 2

Question 1

Refer to the pattern below. How many triangles are there in the first 2021 figures counting from left to right?

Question illustration
  1. 674
  2. 673
  3. 809
  4. 336

Question 2

Andy has a number of cans to contain an amount of gasoline. If he pours 3 liters in each can then he has 10 liters left. If he pours 4 liters in each can then he has 2 liters left. How many liters of gasoline does Andy have in total?

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  1. 24
  2. 34
  3. 38
  4. 8

Question 3

What is the 8th number in the sequence with pattern below? 1 , 2 , 5 , 14 , 41 , …

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  1. 1049
  2. 1000
  3. 122
  4. 1094

Question 4

Observe the pattern below to find the sum of $A+B+C$.

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  1. 75
  2. 62
  3. 72
  4. 57

Question 5

A math test has 10 questions. Each correct answer receives 1 point. Wrong answer or empty answer receives 0 point. At least how many students are required to do the test to ensure that there are 2 students having the same score?

Question illustration
  1. 12
  2. 11
  3. 10
  4. 20

Question 6

Find the value of 1/(2×4)+1/(4×6)+1/(6×8)+...+1/(2020×2022).

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  1. 1/2
  2. 505/1011
  3. 505/2022
  4. 1/4

Question 7

Find the value of 1/($2+3$/4).

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  1. 11/4
  2. 4/11
  3. 4/5
  4. 5/4

Question 8

Find the value of $2+7+12+17$+...+$197+202$.

Question illustration
  1. 4281
  2. 8364
  3. 10302
  4. 4182

Question 9

What is the value of P if 2×$P=2+6+18+54$+...+4374?

Question illustration
  1. 3820
  2. 3280
  3. 2380
  4. 2830

Question 10

Let each letter M, A, T, H, K, I, O represent distinct digits. Find the value of I in MATH+1234=HKIMO.

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

Question 11

The weight of Ashley and Ben is 75kg. The weight of Ben and Chelsea is 81kg. The weight of Chelsea and Ashley is 84kg. Dan weighs 3kg more than the average weight of 4 friends. Find Dan’s weight in kg.

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  1. 44
  2. 43
  3. 42
  4. 41

Question 12

Find the largest 3-digit number such that it leaves remainder 6 when divided by 7.

Question illustration
  1. 1000
  2. 993
  3. 994
  4. 995

Question 13

If the 10-digit number 20212022AB is divisible by 18, find the maximum possible value for A.

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

Question 14

Given that 2∗$3=3+5$, 3∗$4=4+7+10$, 4∗$5=5+9+13+17$. Find the value of 4∗6.

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  1. 50
  2. 72
  3. 10
  4. 48

Question 15

To write all page numbers of a book with 100 pages, how many digits 0 do we have to use?

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

Question 16

Each cell in the grid below has side length 4. Find the area which are painted red.

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  1. 150
  2. 300
  3. 600
  4. 664

Question 17

10 small cubes with side length 2cm are combined to form the figure below. What is the value of its total surface area in cm2?

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  1. 160
  2. 80
  3. 40
  4. 200

Question 18

How many rectangles are there in the figure below?

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  1. 24
  2. 54
  3. 34
  4. 44

Question 19

Nine identical squares are combined to form the figure below with perimeter 48. Find the area of the shadowed region.

Question illustration
  1. 24
  2. 18
  3. 16
  4. 27

Question 20

Andy had a square piece of paper with perimeter 72 as figure 1. Then he cut the paper into 2 identical parts to combine it into a rectangle as figure 2. Find the perimeter of the figure 2.

Question illustration
  1. 80
  2. 78
  3. 76
  4. 74