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TIMO 2021 Grade 5 Preliminary Set 3

Question 1

Given A and B are two non-zero digits and the 2-digit numbers formed by these two digits have the following properties: 1. AB is divisible by 8. 2. BA is a product of 3 different prime numbers. Find the 3-digit number ABA.

Question illustration
  1. 424
  2. 565
  3. 242
  4. 656

Question 2

There are some chickens and rabbits, where the number of legs of chickens is 26 more than the number of legs of rabbits. If there are 362 legs in total, how many rabbits are there?

Question illustration
  1. 42
  2. 55
  3. 84
  4. 97

Question 3

A stationery store had a batch of ball pens. One half and 3 more pens were sold on the first day. One half of the remaining part and 9 more pens were sold on the second day. Finally, 54 ball pens are left. How many ball pens did the stationery store have originally?

Question illustration
  1. 54
  2. 66
  3. 204
  4. 258

Question 4

John needs 36 days to finish a project. Mary needs 12 days to finish the same project. If John and Mary do the project together, how many days do they need to finish it?

Question illustration
  1. 3
  2. 9
  3. 24
  4. 48

Question 5

There are 8 blue balls, 7 red balls and 9 green balls in a bag. At least how many balls should be taken at random to ensure there are 2 balls of each color?

Question illustration
  1. 20
  2. 19
  3. 18
  4. 17

Question 6

Find the value of 111×1111.

Question illustration
  1. 12321
  2. 1234123
  3. 123321
  4. 1234321

Question 7

Find the value of 1/(3×4)+1/(4×5)+1/(5×6)+...+1/(15×16)+1/(16×17).

Question illustration
  1. 13/48
  2. 14/51
  3. 19/48
  4. 20/51

Question 8

Calculate 1×$2+2$×$3+3$×$4+4$×$5+5$×$6+6$×$7+7$×$8+8$×$9+9$×10.

Question illustration
  1. 330
  2. 329
  3. 190
  4. 99

Question 9

Find the value of 16×$64-28$×28.

Question illustration
  1. 52
  2. 996
  3. 1052
  4. 240

Question 10

Find the value of 1/$3+1$/$9+1$/$27+1$/$81+1$/$243+1$/729.

Question illustration
  1. 361/729
  2. 121/243
  3. 364/729
  4. 283/729

Question 11

If 2018A905B is divisible by 9, find the maximum value of $A+B$.

Question illustration
  1. 2
  2. 11
  3. 20
  4. 29

Question 12

Find the number of factors for 480.

Question illustration
  1. 26
  2. 24
  3. 20
  4. 18

Question 13

Define the operation symbol a⊗b=a×b−b−7; find the value of 11⊗(8⊗9).

Question illustration
  1. 609
  2. 598
  3. 563
  4. 553

Question 14

Teacher gives some candies to students. If everyone gets 11 candies, 23 candies will be left. If everyone gets 7 candies, 91 candies will be left. How many candies do teacher have?

Question illustration

Question illustration
  1. 210
  2. 187
  3. 278
  4. 142

Question 15

How many 2-digit numbers divisible by 3 are there?

Question illustration
  1. 32
  2. 31
  3. 29
  4. 30

Question 16

How many rectangles are there in the figure below?

Question illustration
  1. 64
  2. 50
  3. 60
  4. 54

Question 17

Combine 9 identical squares of side length 2cm to get a bigger square. Find the perimeter of the big square in cm.

Question illustration
  1. 36
  2. 48
  3. 24
  4. 18

Question 18

28 cubes with side length 1cm are placed on top of each other to get the figure with the top view below. Find its surface area in cm2.

Question illustration
  1. 82
  2. 85
  3. 77
  4. 90

Question 19

What is sum of interior angles of a square?

Question illustration
  1. 360
  2. 180
  3. 270
  4. 90

Question 20

Find the area of the non-shaded region in the figure.

Question illustration
  1. 64
  2. 122
  3. 42
  4. 172