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TIMO 2026 Grade 5 Preliminary SET 3 - Self-study

Question 1

Today is Thursday, 11th August 2022. Which day of the week will it be 12th August 2023 ?
  1. Monday
  2. Sunday
  3. Saturday
  4. Wednesday

Question 2

According to the pattern below, find the 8th term in the sequence.

2, 2, 4, 6, 10, 16, . . .
  1. 42
  2. 26
  3. 34
  4. 24

Question 3

Erik has a lucky number. This number is divided by 4, then is multiplied by 3 and minuses 64. The result will be 8. Find Erik’s lucky number.
  1. 72
  2. 96
  3. 84
  4. 54

Question 4

Andy read a book in 3 days. On the 1st day, he read one third of the pages of the book and 2 more pages. On the 2nd day, he read one half of the remaining pages and 4 more pages. He noticed that 36 pages were left. How many pages does the book have in total?
  1. 186
  2. 93
  3. 123
  4. 246

Question 5

According to the pattern shown below, how many candies are there in the 10th group?

Question illustration
  1. 29
  2. 33
  3. 37
  4. 41

Question 6

Find the value of A, given that 3 × A + 17 = 245.
  1. 78
  2. 56
  3. 87
  4. 76

Question 7

Find the value of 10 + 13 + 16 + 19 + ... + 46.
  1. 728
  2. 364
  3. 1036
  4. 336

Question 8

Calculate 15 x 24 + 48 x 54 - 23 x 24.
  1. 2500
  2. 2400
  3. 1200
  4. 4800

Question 9

Find the value of S, given that:

S = 2 + 4 + 6 + 8 + 16 + . . . + 1024

Original choices (preserved):

A. 2024

B. 2048

C. 2042

D. 2046

Self-study source-issue note: keep every printed term, including 6, and continue doubling from 8 through 1024. Under this explicit interpretation none of the printed choices is correct. Enter the numerical sum instead of a choice letter.

Question 10

Find the value of

Question illustration
  1. $\dfrac{4}{13}$
  2. $\dfrac{1}{13}$
  3. $\dfrac{4}{3}$
  4. $\dfrac{1}{3}$

Question 11

Define the operation symbol a ⍟ b = (a + b) × 2 - 5, find the value of (3 ⍟ 7) ⍟ 5.
  1. 105
  2. 25
  3. 75
  4. 35

Question 12

The difference of B and A is 60. The value of B is 6 times the value of A. Find the sum of A and B.
  1. 70
  2. 84
  3. 72
  4. 80

Question 13

If 9-digit number 20212023A is divisible by 6, find the greatest value of A.
  1. 4
  2. 8
  3. 6
  4. 9

Question 14

How many 3-digit numbers that are divisible by 5 are there?
  1. 100
  2. 200
  3. 150
  4. 180

Question 15

Teacher gives some pencils to students. If everyone gets 3 pencils, 38 pencils will be left. If everyone gets 7 pencils, 10 pencils will be left. How many pencils does teacher have in total?
  1. 59
  2. 94
  3. 74
  4. 52

Question 16

How many rectangles are there in the figure below?

Question illustration
  1. 76
  2. 30
  3. 144
  4. 90

Question 17

9 small cubes with side length 1 cm are combined to form the figure below. What is the value of its total surface area in cm²?

Question illustration
  1. 36
  2. 32
  3. 34
  4. 30

Question 18

It is known that the area of a rectangle is 72 cm². The length and the width of this rectangle are natural numbers in cm. Find the minimum value of the perimeter of this rectangle.
  1. 34
  2. 11
  3. 26
  4. 22

Question 19

A rectangle has perimeter of 32 cm. When its length decreases 5 cm, the area decreases 30cm². Find the area of the new rectangle in cm².
  1. 100
  2. 130
  3. 30
  4. 60

Question 20

Linda puts 8 identical rectangular papers next to each other to form a big square. The perimeter of a rectangle is 72 cm. Find the perimeter of a big square in cm.

Question illustration
  1. 576
  2. 192
  3. 144
  4. 384